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18 Commits

Author SHA1 Message Date
Marek Nečada 6cecad6d18 mpqs refactoring minor stuff
Former-commit-id: c17570e41047a309cc76bbe485309acfcac6e82a
2019-11-10 20:10:26 +02:00
Marek Nečada 345352dbd5 mpqs_t minor refactoring
Former-commit-id: 79a252c00ab7bf0f8d6c05d68be5b0adae51f9a6
2019-11-10 15:12:42 +02:00
Marek Nečada 1ea9d9cb47 mpqs_t multiplication and simple initialisation.
Former-commit-id: 2d2a5df78e1d0b47e300569c352e7758a0e64f94
2019-11-10 00:24:08 +02:00
Marek Nečada fa15871bd9 mpqs_t basics (addition, substraction) now compile (not yet tested)
Former-commit-id: 6bf0dd8553d514fe187ea5b4f6f8ff7a2752362e
2019-11-08 20:56:39 +02:00
Marek Nečada 34e52a42cf WIP mpqs_t
Former-commit-id: c0a46a1a7f0f00e1950a067f74440bd40e695db9
2019-11-06 00:22:20 +02:00
Marek Nečada 706073315b WIP mpzs_hh_t
Former-commit-id: 5df48ddb3c9aac26887c81c54d71b47173b9ec0d
2019-11-01 04:40:17 +02:00
Marek Nečada c0ec5389e0 WIP polynomials etc.
Former-commit-id: 546c139f9cce0686c1b3065403beaa769bd7b55b
2019-10-29 14:00:09 +02:00
Troy D. Hanson & al 6b5b773d0b Add uthash.h
Former-commit-id: 8bbe0ac9bdbc0e6b30c5b3c2af51b34f4f4dd4a3
2019-10-28 13:41:54 +02:00
Marek Nečada 57a1206dcc A new polynomial class with "square root of rationals" coeffs.
Former-commit-id: 4f06dc080b45dc0e89f5899dce728fb340cd6ef8
2019-10-27 09:45:08 +02:00
Marek Nečada 0c5a38371f qpq_t ointer mixing for _mul and _div, fix last merge.
Former-commit-id: 4c7a5de21c8c783ae4af4781b77f8b0d3babd6e3
2019-10-25 21:03:55 +03:00
Marek Nečada 5f77fd9386 Merge branch 'gmp_integration' of necada:~/repo/qpms into gmp_integration
Former-commit-id: 7d6118efbb06d1cee0eb3e89afc4aeb65665d023
2019-10-25 20:43:46 +03:00
Marek Nečada 8db97686e5 Polynomial division, bug fixes, enhancements.
- Addition and substraction fixed, supports result and operand mixing.


Former-commit-id: 0a53db4cd1fee70c6cf77a6ea2c65840de6d3ca1
2019-10-25 20:40:05 +03:00
Marek Nečada d6b3951dc2 "Legendroid" data structure
Former-commit-id: 34908e2933a0aae79c46d665c2abe20ab5504eed
2019-10-22 06:42:36 +03:00
Marek Nečada b4ac597771 qpq cython wrapper class, bug fixes
The new cython module qpms.cypolynomials requires gmpy2 version 2.1 or
higher.


Former-commit-id: 10198a7341437620f5a493d16a217bf6014e2759
2019-10-20 21:26:20 +03:00
Marek Nečada 25d1eced26 qpq_t element assignment functionality
Former-commit-id: 63edc3b1f27209af18932f6fd8f284c1859eb40d
2019-10-19 14:34:09 +03:00
Marek Nečada a4df0139b9 Polynomials with rational coeffs: basic functionality.
Untested.


Former-commit-id: d89daafeb73b498aab73c4a1c67823f3044499b2
2019-10-15 16:30:13 +03:00
Marek Nečada 3f5aaacbf2 First draft of essential polynomial arithmetic functionality.
Former-commit-id: f34d258aaffbd52c4e4d251f5b6f1ff3733e3a08
2019-10-13 18:08:15 +03:00
Marek Nečada 4ca003ec8b CMake scripts for finding GMP
Former-commit-id: 7ac8c4899598b44afa36300dd962a2173c07d1c1
2019-10-09 14:29:38 +03:00
204 changed files with 8772 additions and 20028 deletions

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@ -1,83 +0,0 @@
---
kind: pipeline
type: docker
name: buildqpms-alpine-preinstlibs
workspace:
path: /home/qpmsbuild/qpms
# don't run in master until the python/lapacke linking problem is resolved
trigger:
branch:
exclude:
- master
steps:
- name: chown
image: qpms/buildenv/alpine/pkgdnumlib
pull: never
commands:
- chown -R qpmsbuild.qpmsbuild .
- name: submodules
image: qpms/buildenv/alpine/pkgdnumlib
pull: never
user: qpmsbuild
commands:
- git submodule init
- git submodule update
- name: build
image: qpms/buildenv/alpine/pkgdnumlib
pull: never
user: qpmsbuild
commands:
- cmake -DCMAKE_INSTALL_PREFIX=$HOME/.local .
- make install
- export LIBRARY_PATH=$HOME/.local/lib
- python3 setup.py install --user
- cd examples/rectangular/modes
- pip3 install --user matplotlib #needed to run the example
- export LD_LIBRARY_PATH=$HOME/.local/lib
- ./01a_realfreq_svd.sh
---
kind: pipeline
type: docker
name: buildqpms-debian-preinstlibs
workspace:
path: /home/qpmsbuild/qpms
steps:
- name: chown
image: qpms/buildenv/debian/pkgdnumlib
pull: never
commands:
- chown -R qpmsbuild.qpmsbuild .
- name: submodules
image: qpms/buildenv/debian/pkgdnumlib
pull: never
user: qpmsbuild
commands:
- git submodule init
- git submodule update
- name: build
image: qpms/buildenv/debian/pkgdnumlib
pull: never
user: qpmsbuild
commands:
- cmake -DCMAKE_INSTALL_PREFIX=/home/qpmsbuild/.local .
- make install
- export LIBRARY_PATH=$HOME/.local/lib
- python3 setup.py install --user
- pip3 install --user matplotlib #needed to run the examples
- export LD_LIBRARY_PATH=$HOME/.local/lib
- cd examples/rectangular/modes
- ./01a_realfreq_svd.sh
- cd -
- cd examples/hexagonal/modes
#- ./01a_realfreq_svd.sh
#- ./01_compute_modes.sh
#- ./02b_compute_disp_0M.sh
#- ./02_compute_disp.sh
#- ./02x_compute_disp.sh

25
.gitignore vendored
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@ -5,29 +5,4 @@
*.pdf
*.o
docs/*
qpms/qpms_c.c
qpms/cy*.c
CMakeCache.txt
CMakeFiles/*
faddeeva/*
qpms/CMakeFiles/*
qpms/libqpms.so
qpms/cmake_install.cmake
qpms_version.c
qpms.egg_info/*
dist/*
build/*
Makefile
CTestTestfile.cmake
amos/CMakeFiles/*
amos/Makefile
amos/amos_mangling.h
cmake_install.cmake
cython_debug/*
qpms.egg-info/*
tests/CmakeFiles/*
tests/cmake_install.cmake
tests/CMakeFiles/*

4
.gitmodules vendored
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@ -1,4 +0,0 @@
[submodule "camos"]
path = camos
url = https://codeberg.org/QPMS/zbessel.git
branch = purec

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@ -1,43 +0,0 @@
Overview of QPMS command line utilities
=======================================
The utilities are located in the `misc` directory. Run the
utility with `-h` argument to get more info.
Rectangular and square 2D lattices
----------------------------------
These scripts deal with simple 2D rectangular lattices,
finite or infinite, one scatterer per unit cell.
\f$ D_{2h} \f$ or \f$ D_{4h} \f$ symmetric adapted bases
are used where applicable.
### Finite lattices
* `finiterectlat-modes.py`: Search for resonances using Beyn's algorithm.
* `finiterectlat-scatter.py`: Plane wave scattering.
* `finiterectlat-constant-driving.py`: Rectangular array response to
a driving where a subset of particles are excited by basis VSWFs with the
same phase.
### Infinite lattices
* `rectlat_simple_modes.py`: Search for lattice modes using Beyn's algorithm.
* `infiniterectlat-k0realfreqsvd.py`:
Evaluate the lattice mode problem singular values at the Γ point for a real frequency interval.
Useful as a starting point in lattice mode search before using Beyn's algorithm.
* `infiniterectlat-scatter.py`: Plane wave scattering.
General 2D lattices
-------------------
### Infinite lattices
These can contain several scatterers per unit cell. Symmetry adapted bases currently not implemented.
* `lat2d_modes.py`: Search for lattice modes using Beyn's algorithm.
* `lat2d_realfreqsvd.py`:
Evaluate the lattice mode problem singular values at the Γ point for a real frequency interval.
Useful as a starting point in lattice mode search before using Beyn's algorithm.

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@ -1,16 +1,12 @@
cmake_minimum_required(VERSION 3.0.2)
option(QPMS_USE_FORTRAN_AMOS "Use the original AMOS Fortran libraries instead of the C ones" OFF)
if (QPMS_USE_FORTRAN_AMOS)
set (CMAKE_MODULE_PATH "${CMAKE_MODULE_PATH};${CMAKE_CURRENT_SOURCE_DIR}/cmake-scripts")
include(CMakeAddFortranSubdirectory)
endif (QPMS_USE_FORTRAN_AMOS)
include(version.cmake)
include(GNUInstallDirs)
project (QPMS)
list(APPEND CMAKE_MODULE_PATH "${CMAKE_CURRENT_SOURCE_DIR}/cmake/")
set(CMAKE_BUILD_TYPE Debug)
macro(use_c99)
if (CMAKE_VERSION VERSION_LESS "3.1")
@ -29,23 +25,10 @@ set(CMAKE_POSITION_INDEPENDENT_CODE ON)
set (QPMS_VERSION_MAJOR 0)
#set (QPMS_VERSION_MINOR 3)
if (QPMS_USE_FORTRAN_AMOS)
cmake_add_fortran_subdirectory (amos
PROJECT amos
LIBRARIES amos
NO_EXTERNAL_INSTALL)
set(QPMS_AMOSLIB amos)
else (QPMS_USE_FORTRAN_AMOS)
set(CAMOS_BUILD_STATIC ON)
add_subdirectory (camos)
set(QPMS_AMOSLIB camos)
endif (QPMS_USE_FORTRAN_AMOS)
set(FADDEEVA_BUILD_STATIC ON)
add_subdirectory(faddeeva)
cmake_add_fortran_subdirectory (amos
PROJECT amos
LIBRARIES amos
NO_EXTERNAL_INSTALL)
add_subdirectory (qpms)

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@ -1,675 +0,0 @@
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#### 9. Acceptance Not Required for Having Copies.
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#### 10. Automatic Licensing of Downstream Recipients.
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#### 11. Patents.
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A contributor's "essential patent claims" are all patent claims owned
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If, pursuant to or in connection with a single transaction or
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receiving the covered work authorizing them to use, propagate, modify
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you grant is automatically extended to all recipients of the covered
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A patent license is "discriminatory" if it does not include within the
scope of its coverage, prohibits the exercise of, or is conditioned on
the non-exercise of one or more of the rights that are specifically
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Nothing in this License shall be construed as excluding or limiting
any implied license or other defenses to infringement that may
otherwise be available to you under applicable patent law.
#### 12. No Surrender of Others' Freedom.
If conditions are imposed on you (whether by court order, agreement or
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excuse you from the conditions of this License. If you cannot convey a
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consequence you may not convey it at all. For example, if you agree to
terms that obligate you to collect a royalty for further conveying
from those to whom you convey the Program, the only way you could
satisfy both those terms and this License would be to refrain entirely
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#### 13. Use with the GNU Affero General Public License.
Notwithstanding any other provision of this License, you have
permission to link or combine any covered work with a work licensed
under version 3 of the GNU Affero General Public License into a single
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#### 14. Revised Versions of this License.
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#### 15. Disclaimer of Warranty.
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#### 16. Limitation of Liability.
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#### 17. Interpretation of Sections 15 and 16.
If the disclaimer of warranty and limitation of liability provided
above cannot be given local legal effect according to their terms,
reviewing courts shall apply local law that most closely approximates
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Program, unless a warranty or assumption of liability accompanies a
copy of the Program in return for a fee.
END OF TERMS AND CONDITIONS
### How to Apply These Terms to Your New Programs
If you develop a new program, and you want it to be of the greatest
possible use to the public, the best way to achieve this is to make it
free software which everyone can redistribute and change under these
terms.
To do so, attach the following notices to the program. It is safest to
attach them to the start of each source file to most effectively state
the exclusion of warranty; and each file should have at least the
"copyright" line and a pointer to where the full notice is found.
<one line to give the program's name and a brief idea of what it does.>
Copyright (C) <year> <name of author>
This program is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with this program. If not, see <https://www.gnu.org/licenses/>.
Also add information on how to contact you by electronic and paper
mail.
If the program does terminal interaction, make it output a short
notice like this when it starts in an interactive mode:
<program> Copyright (C) <year> <name of author>
This program comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
This is free software, and you are welcome to redistribute it
under certain conditions; type `show c' for details.
The hypothetical commands \`show w' and \`show c' should show the
appropriate parts of the General Public License. Of course, your
program's commands might be different; for a GUI interface, you would
use an "about box".
You should also get your employer (if you work as a programmer) or
school, if any, to sign a "copyright disclaimer" for the program, if
necessary. For more information on this, and how to apply and follow
the GNU GPL, see <https://www.gnu.org/licenses/>.
The GNU General Public License does not permit incorporating your
program into proprietary programs. If your program is a subroutine
library, you may consider it more useful to permit linking proprietary
applications with the library. If this is what you want to do, use the
GNU Lesser General Public License instead of this License. But first,
please read <https://www.gnu.org/licenses/why-not-lgpl.html>.

View File

@ -51,7 +51,7 @@ PROJECT_BRIEF = "Electromagnetic multiple scattering library and toolki
# and the maximum width should not exceed 200 pixels. Doxygen will copy the logo
# to the output directory.
PROJECT_LOGO = farfield.png
PROJECT_LOGO =
# The OUTPUT_DIRECTORY tag is used to specify the (relative or absolute) path
# into which the generated documentation will be written. If a relative path is
@ -753,7 +753,7 @@ WARN_LOGFILE =
# spaces.
# Note: If this tag is empty the current directory is searched.
INPUT = qpms notes misc finite_systems.md MIRRORS.md CLIUTILS.md README.md README.Triton.md finite_systems.md lattices.md TODO.md
INPUT = qpms notes finite_systems.md README.md README.Triton.md finite_systems.md lattices.md TODO.md
# This tag can be used to specify the character encoding of the source files
# that doxygen parses. Internally doxygen uses the UTF-8 encoding. Doxygen uses
@ -1462,7 +1462,7 @@ MATHJAX_FORMAT = HTML-CSS
# The default value is: http://cdn.mathjax.org/mathjax/latest.
# This tag requires that the tag USE_MATHJAX is set to YES.
MATHJAX_RELPATH = https://uslugi.necada.org/js/mathjax
MATHJAX_RELPATH = http://cdn.mathjax.org/mathjax/latest
# The MATHJAX_EXTENSIONS tag can be used to specify one or more MathJax
# extension names that should be enabled during MathJax rendering. For example

View File

@ -1,14 +0,0 @@
QPMS source code mirrors
========================
QPMS source code is available at several locations; in all of the following,
upstream `master` branch is kept up-to-date. Various development branches
are not necessarily pushed everywhere (and they should be considered
unstable in the sense that rebases and forced pushes are possible).
mirror | note | provider | backend
----------------------------------------------- | ----------------------- | ------------------------------------------------- | ------
<https://repo.or.cz/qpms.git> | primary public upstream | [repo.or.cz](https://repo.or.cz/) | girocco
<https://codeberg.org/QPMS/qpms> | | [Codeberg](https://codeberg.org) | gitea
<https://git.piraattipuolue.fi/QPMS/qpms.git> | | [Pirate Party Finland](https://piraattipuolue.fi) | gitea
<https://version.aalto.fi/gitlab/qpms/qpms.git> | | [Aalto University](https://aalto.fi) | gitlab

127
README.md
View File

@ -1,14 +1,10 @@
[![Build Status](https://drone.perkele.eu/api/badges/QPMS/qpms/status.svg)](https://drone.perkele.eu/QPMS/qpms)
QPMS README
===========
[QPMS][homepage] (standing for QPMS Photonic Multiple Scattering)
is a toolkit for frequency-domain simulations of photonic systems
QPMS is a toolkit for frequency-domain simulations of photonic systems
consisting of compact objects (particles) inside a homogeneous medium. Scattering
properties of the individual particles are described by their T-matrices
(which can be obtained using one of the built-in generators or
e.g. with the `scuff-tmatrix` tool from
(which can be obtained e.g. with the `scuff-tmatrix` tool from
the [SCUFF-EM] suite).
QPMS handles the multiple scattering of electromagnetic radiation between
@ -16,39 +12,26 @@ the particles. The system can consist either of a finite number of particles
or an infinite number of periodically arranged lattices (with finite number
of particles in a single unit cell).
Features
========
Finite systems
--------------
* Computing multipole excitations and fields scattered from nanoparticle
* Computing multipole excitations *and fields (TODO)* scattered from nanoparticle
clusters illuminated by plane, spherical or *cylindrical (TODO)* waves.
* Finding eigenmodes (optical resonances).
* Calculating cross sections.
* Finding eigenmodes.
* *Calculating cross sections (TODO).*
* Reducing numerical complexity of the computations by exploiting
symmetries of the cluster (decomposition to irreducible representations).
Infinite systems (lattices)
---------------------------
* 2D-periodic systems with arbitrary unit cell geometry supported. (TODO 1D and 3D.)
* Computing multipole excitations and fields scattered from nanoparticle
* 2D-periodic systems supported. (TODO 1D and 3D.)
* *Calculation of transmission and reflection properties (TODO).*
* Finding eigenmodes and calculating dispersion relations.
* Calculation of the scattered fields.
* *Calculation of total transmission and reflection properties (TODO).*
* *Reducing numerical complexity of the computations by exploiting
symmetries of the lattice (decomposition to irreducible representations) (in development).*
Getting the code
================
The codebase is available at the main upstream public repository
<https://repo.or.cz/qpms.git> or any of the [maintained mirrors][MIRRORS].
Just clone the repository with `git` and proceed to the installation instructions
below.
* *Calculation of far-field radiation patterns of an excited array (TODO).*
* Reducing numerical complexity of the computations by exploiting
symmetries of the lattice (decomposition to irreducible representations).
Installation
@ -64,16 +47,7 @@ you can [get the source and compile it yourself][GSL].
You also need a fresh enough version of [cmake][].
QPMS uses a C version of the Amos library for calculating Bessel function
from a submodule. Before proceeding with running `cmake`, the submodules
need to be downloaded first (in the QPMS source root directory):
```{.sh}
git submodule init
git submodule update
```
After GSL is installed and submodules updated, you can install qpms to your local python library using
After GSL is installed, you can install qpms to your local python library using
```{.sh}
cmake -DCMAKE_INSTALL_PREFIX=${YOUR_PREFIX} .
@ -92,21 +66,13 @@ Special care might need to be taken when installing QPMS in cluster environments
Specific installation instructions for Aalto University's Triton cluster
can be found in a [separate document][TRITON-README].
Instructions for installation on Android-based devices are
in [another document][INSTALL-ANDROID].
Documentation
=============
[QPMS documentation][homepage] is a work in progress. Most of the newer code
is documented using [doxygen][] comments. Documentation generated for the
upstream version is hosted on the QPMS homepage <https://qpms.necada.org>.
To build the documentation yourself,
just run
Documentation of QPMS is a work in progress. Most of the newer code
is documented using [doxygen][] comments. To build the documentation, just run
`doxygen`
in the QPMS source root directory; the documentation will then be found in
in the root directory; the documentation will then be found in
`docs/html/index.html`.
Of course, the prerequisite of this is having doxygen installed.
@ -118,77 +84,14 @@ under root.
Tutorials
---------
* [Infinite system (lattice) tutorial][tutorial-infinite]
* [Finite system tutorial][tutorial-finite]
See also the examples directory in the source repository.
Command line utilities
----------------------
* [Overview of the Python command line utilities][cliutils]
Acknowledgments
================
This software has been developed in the [Quantum Dynamics research group][QD],
Aalto University, Finland. If you use the code in your work, please cite
**M. Nečada and P. Törmä, Multiple-scattering T-matrix simulations for nanophotonics: symmetries and periodic lattices, [arXiv: 2006.12968][lepaper] (2020)**
in your publications, presentations, and similar.
Please also have a look at other publications by the group
(google scholar Päivi Törmä), they may be useful for your work as well.
Bug reports
===========
If you believe that some parts of QPMS behave incorrectly, please mail
a bug report to [marek@necada.org][authormail]. To ensure that your message is not
considered spam, please start the subject line with `QPMS`.
If you were able to fix a bug yourself, please include the patch as well,
see below.
Contributions
=============
Contributions to QPMS are welcome, be it bug fixes, improvements to the
documentation, code quality, or new features.
You can send patches prepared using the
[`git format-patch`](https://git-scm.com/docs/git-format-patch) tool
to [marek@necada.org][authormail].
If you plan to contribute with major changes to the codebase, it is
recommended to discuss that first (see the contact information below).
Contact & discussion
====================
You can contact the main author e.g. via [e-mail][authormail]
or [Telegram](https://t.me/necadam).
You are also warmly welcome to the [QPMS user chat][telegramchat]
in Telegram!
[homepage]: https://qpms.necada.org
[SCUFF-EM]: https://homerreid.github.io/scuff-em-documentation/
[OpenBLAS]: https://www.openblas.net/
[GSL]: https://www.gnu.org/software/gsl/
[cmake]: https://cmake.org
[TRITON-README]: README.Triton.md
[INSTALL-ANDROID]: notes/INSTALL_ANDROID.md
[tutorial-finite]: finite_systems.md
[tutorial-infinite]: lattices.md
[doxygen]: http://doxygen.nl/
[QD]: https://www.aalto.fi/en/department-of-applied-physics/quantum-dynamics-qd
[lepaper]: https://arxiv.org/abs/2006.12968
[telegramchat]: https://t.me/QPMScattering
[authormail]: mailto:marek@necada.org
[cliutils]: CLIUTILS.md
[MIRRORS]: MIRRORS.md

29
TODO.md
View File

@ -1,12 +1,11 @@
TODO list before 1.0 release
============================
TODO list before public release
===============================
- Tests!
- Docs!
- Cross section calculations. (Done in some Python scripts.)
- Field calculations. (Partly done, needs more testing.)
* Also test periodic vs. nonperiodic consistence (big finite lattice + absorbing medium vs. infinite lattice + absorbing medium).
- Complex frequencies, n's, k's. (Mostly done.)
- Cross section calculations.
- Field calculations.
- Complex frequencies, n's, k's.
- Transforming point (meta)generators.
- Check whether moble's quaternions and my
quaternions give the same results in tmatrices.py
@ -25,12 +24,11 @@ TODO list before 1.0 release
* As a description of a T-matrix / particle metadata.
- Nice CLI for all general enough utilities.
- Remove legacy code.
- Split `qpms_c.pyx`.
- Split qpms_c.pyx.
- Reduce compiler warnings.
- Serialisation (saving, loading) of `ScatteringSystem` and other structures.
- Python exceptions instead of hard crashes in the C library where possible.
- Scatsystem init sometimes fail due to rounding errors and hardcoded absolute tolerance
in the `qpms_tmatrix_isclose()` call.
in the qpms_tmatrix_isclose() call.
- Prefix all identifiers. Maybe think about a different prefix than qpms?
- Consistent indentation and style overall.
- Rewrite the parallelized translation matrix, mode problem matrix generators
@ -41,16 +39,3 @@ Nice but less important features
- Static, thread-safe caches of constant coefficients + API without the current "calculators".
Optimisations
-------------
- Leaving out the irrelevant elements if a "rectangular" block of the translations matrix is needed.
- Ewald sums with "non-parallel" shifts (are about 20 times slower than the purely parallel ones).
- Reusing intermediate results (profiling needed)
* Bessel, Legendre functions (see also branch `finite_lattice_speedup`)
* Lattice points (sorting and scaling)
* Γ/Δ functions (for periodic lattices)
- More parallelisation.
- Possibly pre-calculation of the (precise) coefficients in Bessel and Legendre functions (using gmp)
- Asymptotic approximations of the Bessel functions for far fields.

View File

@ -1,30 +0,0 @@
#ifndef CAMOS_H_
#define CAMOS_H_
#include "amos.h"
// TODO what about all the INTEGER_t and DOUBLE_PRECISION_t?
static inline int camos_zbesh(double zr, double zi, double fnu, int kode, int m,
int n, double *cyr, double *cyi, int *nz) {
int ierr;
amos_zbesh(&zr, &zi, &fnu, &kode, &m, &n, cyr, cyi, nz, &ierr);
return ierr;
}
static inline int camos_zbesj(double zr, double zi, double fnu, int kode, int n, double *cyr,
double *cyi, int *nz) {
int ierr;
double cwrkr[n], cwrki[n];
amos_zbesj(&zr, &zi, &fnu, &kode, &n, cyr, cyi, nz, &ierr);
return ierr;
}
static inline int camos_zbesy(double zr, double zi, double fnu, int kode, int n, double *cyr,
double *cyi, int *nz, double *cwrkr, double *cwrki) {
int ierr;
amos_zbesy(&zr, &zi, &fnu, &kode, &n, cyr, cyi, nz, cwrkr, cwrki, &ierr);
return ierr;
}
#endif // CAMOS_H_

1
camos

@ -1 +0,0 @@
Subproject commit 19e7ae82e7e0b436bd273557a87d288f8f338221

View File

@ -1,7 +0,0 @@
#!/bin/sh
DP=Dockerfile_parts
# "Build environment" Dockerfiles
cat >Dockerfile.benv.debian.bnl ${DP}/00_common.debian ${DP}/01_numlibs.built
cat >Dockerfile.benv.debian.pnl ${DP}/00_common.debian ${DP}/01_numlibs.debian.pkgd
cat >Dockerfile.benv.alpine.bnl ${DP}/00_common.alpine ${DP}/01_numlibs.built
cat >Dockerfile.benv.alpine.pnl ${DP}/00_common.alpine ${DP}/01_numlibs.alpine.pkgd

View File

@ -1,5 +0,0 @@
#!/bin/sh
docker build -t qpms/buildenv/debian/builtnumlib -f Dockerfile.benv.debian.bnl .
docker build -t qpms/buildenv/debian/pkgdnumlib -f Dockerfile.benv.debian.pnl .
docker build -t qpms/buildenv/alpine/builtnumlib -f Dockerfile.benv.alpine.bnl .
docker build -t qpms/buildenv/alpine/pkgdnumlib -f Dockerfile.benv.alpine.pnl .

View File

@ -1,5 +0,0 @@
FROM alpine:latest AS commondeps
RUN apk update \
&& apk add cmake python3-dev py3-pip gcc g++ wget git make libc-dev bc \
&& adduser -D qpmsbuild

View File

@ -1,6 +0,0 @@
FROM debian:stable AS commondeps
RUN apt-get update \
&& apt-get -y install --no-install-recommends build-essential cmake python3 python3-pip git wget python3-dev bc \
&& apt-get clean \
&& useradd -m qpmsbuild

View File

@ -1,3 +0,0 @@
FROM commondeps AS numlibs
# openblas-dev adds gfortran :(
RUN apk add openblas-dev gsl-dev

View File

@ -1,16 +0,0 @@
FROM commondeps AS buildopenblas
USER qpmsbuild
RUN cd && git clone --depth 1 https://github.com/xianyi/OpenBLAS.git \
&& cd OpenBLAS && make \
&& make install PREFIX=$HOME/.local/ \
&& make clean \
&& cd .. && rm -rf OpenBLAS
FROM buildopenblas AS numlibs
USER qpmsbuild
RUN cd && wget https://ftp.gnu.org/gnu/gsl/gsl-latest.tar.gz \
&& tar xf gsl-latest.tar.gz \
&& cd $( tar tf gsl-latest.tar.gz | head -n 1 ) \
&& ./configure --prefix=$HOME/.local \
&& make && make install && make clean \
&& cd .. && rm -rf $OLDPWD gsl-latest.tar.gz

View File

@ -1,4 +0,0 @@
FROM commondeps AS numlibs
RUN apt-get -y install --no-install-recommends libopenblas-dev libgsl-dev liblapacke-dev \
&& apt-get clean

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@ -1,12 +0,0 @@
FROM numlibs AS buildqpms
USER qpmsbuild
ENV LD_LIBRARY_PATH /home/qpmsbuild/.local/lib
ENV LIBRARY_PATH /home/qpmsbuild/.local/lib
ENV C_INCLUDE_PATH /home/qpmsbuild/.local/include
RUN cd && git clone --depth 1 https://repo.or.cz/qpms.git \
&& cd qpms && git submodule init && git submodule update
RUN cd ~/qpms && cmake -DCMAKE_INSTALL_PREFIX=$HOME/.local . \
&& make \
&& make install
RUN cd ~/qpms && python3 setup.py install --user

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@ -1 +0,0 @@
../.drone.yml

View File

@ -0,0 +1,22 @@
Redistribution and use in source and binary forms, with or without
modification, are permitted provided that the following conditions
are met:
1. Redistributions of source code must retain the copyright
notice, this list of conditions and the following disclaimer.
2. Redistributions in binary form must reproduce the copyright
notice, this list of conditions and the following disclaimer in the
documentation and/or other materials provided with the distribution.
3. The name of the author may not be used to endorse or promote products
derived from this software without specific prior written permission.
THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.

View File

@ -0,0 +1,23 @@
# Try to find the GMP librairies
# GMP_FOUND - system has GMP lib
# GMP_INCLUDE_DIR - the GMP include directory
# GMP_LIBRARIES - Libraries needed to use GMP
# Copyright (c) 2006, Laurent Montel, <montel@kde.org>
#
# Redistribution and use is allowed according to the terms of the BSD license.
# For details see the accompanying COPYING-CMAKE-SCRIPTS file.
if (GMP_INCLUDE_DIR AND GMP_LIBRARIES)
# Already in cache, be silent
set(GMP_FIND_QUIETLY TRUE)
endif (GMP_INCLUDE_DIR AND GMP_LIBRARIES)
find_path(GMP_INCLUDE_DIR NAMES gmp.h )
find_library(GMP_LIBRARIES NAMES gmp libgmp)
include(FindPackageHandleStandardArgs)
FIND_PACKAGE_HANDLE_STANDARD_ARGS(GMP DEFAULT_MSG GMP_INCLUDE_DIR GMP_LIBRARIES)
mark_as_advanced(GMP_INCLUDE_DIR GMP_LIBRARIES)

3
cmake-scripts/ORIGINS Normal file
View File

@ -0,0 +1,3 @@
The FindGMP module comes from KDE's Extra CMake Modules v5.62.0, see:
- https://api.kde.org/ecm/
- https://cgit.kde.org/extra-cmake-modules.git/

View File

@ -1,284 +0,0 @@
# - Returns a version string from Git
#
# These functions force a re-configure on each git commit so that you can
# trust the values of the variables in your build system.
#
# get_git_head_revision(<refspecvar> <hashvar> [ALLOW_LOOKING_ABOVE_CMAKE_SOURCE_DIR])
#
# Returns the refspec and sha hash of the current head revision
#
# git_describe(<var> [<additional arguments to git describe> ...])
#
# Returns the results of git describe on the source tree, and adjusting
# the output so that it tests false if an error occurs.
#
# git_describe_working_tree(<var> [<additional arguments to git describe> ...])
#
# Returns the results of git describe on the working tree (--dirty option),
# and adjusting the output so that it tests false if an error occurs.
#
# git_get_exact_tag(<var> [<additional arguments to git describe> ...])
#
# Returns the results of git describe --exact-match on the source tree,
# and adjusting the output so that it tests false if there was no exact
# matching tag.
#
# git_local_changes(<var>)
#
# Returns either "CLEAN" or "DIRTY" with respect to uncommitted changes.
# Uses the return code of "git diff-index --quiet HEAD --".
# Does not regard untracked files.
#
# Requires CMake 2.6 or newer (uses the 'function' command)
#
# Original Author:
# 2009-2020 Ryan Pavlik <ryan.pavlik@gmail.com> <abiryan@ryand.net>
# http://academic.cleardefinition.com
#
# Copyright 2009-2013, Iowa State University.
# Copyright 2013-2020, Ryan Pavlik
# Copyright 2013-2020, Contributors
# SPDX-License-Identifier: BSL-1.0
# Distributed under the Boost Software License, Version 1.0.
# (See accompanying file LICENSE_1_0.txt or copy at
# http://www.boost.org/LICENSE_1_0.txt)
if(__get_git_revision_description)
return()
endif()
set(__get_git_revision_description YES)
# We must run the following at "include" time, not at function call time,
# to find the path to this module rather than the path to a calling list file
get_filename_component(_gitdescmoddir ${CMAKE_CURRENT_LIST_FILE} PATH)
# Function _git_find_closest_git_dir finds the next closest .git directory
# that is part of any directory in the path defined by _start_dir.
# The result is returned in the parent scope variable whose name is passed
# as variable _git_dir_var. If no .git directory can be found, the
# function returns an empty string via _git_dir_var.
#
# Example: Given a path C:/bla/foo/bar and assuming C:/bla/.git exists and
# neither foo nor bar contain a file/directory .git. This wil return
# C:/bla/.git
#
function(_git_find_closest_git_dir _start_dir _git_dir_var)
set(cur_dir "${_start_dir}")
set(git_dir "${_start_dir}/.git")
while(NOT EXISTS "${git_dir}")
# .git dir not found, search parent directories
set(git_previous_parent "${cur_dir}")
get_filename_component(cur_dir "${cur_dir}" DIRECTORY)
if(cur_dir STREQUAL git_previous_parent)
# We have reached the root directory, we are not in git
set(${_git_dir_var}
""
PARENT_SCOPE)
return()
endif()
set(git_dir "${cur_dir}/.git")
endwhile()
set(${_git_dir_var}
"${git_dir}"
PARENT_SCOPE)
endfunction()
function(get_git_head_revision _refspecvar _hashvar)
_git_find_closest_git_dir("${CMAKE_CURRENT_SOURCE_DIR}" GIT_DIR)
if("${ARGN}" STREQUAL "ALLOW_LOOKING_ABOVE_CMAKE_SOURCE_DIR")
set(ALLOW_LOOKING_ABOVE_CMAKE_SOURCE_DIR TRUE)
else()
set(ALLOW_LOOKING_ABOVE_CMAKE_SOURCE_DIR FALSE)
endif()
if(NOT "${GIT_DIR}" STREQUAL "")
file(RELATIVE_PATH _relative_to_source_dir "${CMAKE_SOURCE_DIR}"
"${GIT_DIR}")
if("${_relative_to_source_dir}" MATCHES "[.][.]" AND NOT ALLOW_LOOKING_ABOVE_CMAKE_SOURCE_DIR)
# We've gone above the CMake root dir.
set(GIT_DIR "")
endif()
endif()
if("${GIT_DIR}" STREQUAL "")
set(${_refspecvar}
"GITDIR-NOTFOUND"
PARENT_SCOPE)
set(${_hashvar}
"GITDIR-NOTFOUND"
PARENT_SCOPE)
return()
endif()
# Check if the current source dir is a git submodule or a worktree.
# In both cases .git is a file instead of a directory.
#
if(NOT IS_DIRECTORY ${GIT_DIR})
# The following git command will return a non empty string that
# points to the super project working tree if the current
# source dir is inside a git submodule.
# Otherwise the command will return an empty string.
#
execute_process(
COMMAND "${GIT_EXECUTABLE}" rev-parse
--show-superproject-working-tree
WORKING_DIRECTORY "${CMAKE_CURRENT_SOURCE_DIR}"
OUTPUT_VARIABLE out
ERROR_QUIET OUTPUT_STRIP_TRAILING_WHITESPACE)
if(NOT "${out}" STREQUAL "")
# If out is empty, GIT_DIR/CMAKE_CURRENT_SOURCE_DIR is in a submodule
file(READ ${GIT_DIR} submodule)
string(REGEX REPLACE "gitdir: (.*)$" "\\1" GIT_DIR_RELATIVE
${submodule})
string(STRIP ${GIT_DIR_RELATIVE} GIT_DIR_RELATIVE)
get_filename_component(SUBMODULE_DIR ${GIT_DIR} PATH)
get_filename_component(GIT_DIR ${SUBMODULE_DIR}/${GIT_DIR_RELATIVE}
ABSOLUTE)
set(HEAD_SOURCE_FILE "${GIT_DIR}/HEAD")
else()
# GIT_DIR/CMAKE_CURRENT_SOURCE_DIR is in a worktree
file(READ ${GIT_DIR} worktree_ref)
# The .git directory contains a path to the worktree information directory
# inside the parent git repo of the worktree.
#
string(REGEX REPLACE "gitdir: (.*)$" "\\1" git_worktree_dir
${worktree_ref})
string(STRIP ${git_worktree_dir} git_worktree_dir)
_git_find_closest_git_dir("${git_worktree_dir}" GIT_DIR)
set(HEAD_SOURCE_FILE "${git_worktree_dir}/HEAD")
endif()
else()
set(HEAD_SOURCE_FILE "${GIT_DIR}/HEAD")
endif()
set(GIT_DATA "${CMAKE_CURRENT_BINARY_DIR}/CMakeFiles/git-data")
if(NOT EXISTS "${GIT_DATA}")
file(MAKE_DIRECTORY "${GIT_DATA}")
endif()
if(NOT EXISTS "${HEAD_SOURCE_FILE}")
return()
endif()
set(HEAD_FILE "${GIT_DATA}/HEAD")
configure_file("${HEAD_SOURCE_FILE}" "${HEAD_FILE}" COPYONLY)
configure_file("${_gitdescmoddir}/GetGitRevisionDescription.cmake.in"
"${GIT_DATA}/grabRef.cmake" @ONLY)
include("${GIT_DATA}/grabRef.cmake")
set(${_refspecvar}
"${HEAD_REF}"
PARENT_SCOPE)
set(${_hashvar}
"${HEAD_HASH}"
PARENT_SCOPE)
endfunction()
function(git_describe _var)
if(NOT GIT_FOUND)
find_package(Git QUIET)
endif()
get_git_head_revision(refspec hash)
if(NOT GIT_FOUND)
set(${_var}
"GIT-NOTFOUND"
PARENT_SCOPE)
return()
endif()
if(NOT hash)
set(${_var}
"HEAD-HASH-NOTFOUND"
PARENT_SCOPE)
return()
endif()
# TODO sanitize
#if((${ARGN}" MATCHES "&&") OR
# (ARGN MATCHES "||") OR
# (ARGN MATCHES "\\;"))
# message("Please report the following error to the project!")
# message(FATAL_ERROR "Looks like someone's doing something nefarious with git_describe! Passed arguments ${ARGN}")
#endif()
#message(STATUS "Arguments to execute_process: ${ARGN}")
execute_process(
COMMAND "${GIT_EXECUTABLE}" describe --tags --always ${hash} ${ARGN}
WORKING_DIRECTORY "${CMAKE_CURRENT_SOURCE_DIR}"
RESULT_VARIABLE res
OUTPUT_VARIABLE out
ERROR_QUIET OUTPUT_STRIP_TRAILING_WHITESPACE)
if(NOT res EQUAL 0)
set(out "${out}-${res}-NOTFOUND")
endif()
set(${_var}
"${out}"
PARENT_SCOPE)
endfunction()
function(git_describe_working_tree _var)
if(NOT GIT_FOUND)
find_package(Git QUIET)
endif()
if(NOT GIT_FOUND)
set(${_var}
"GIT-NOTFOUND"
PARENT_SCOPE)
return()
endif()
execute_process(
COMMAND "${GIT_EXECUTABLE}" describe --dirty ${ARGN}
WORKING_DIRECTORY "${CMAKE_CURRENT_SOURCE_DIR}"
RESULT_VARIABLE res
OUTPUT_VARIABLE out
ERROR_QUIET OUTPUT_STRIP_TRAILING_WHITESPACE)
if(NOT res EQUAL 0)
set(out "${out}-${res}-NOTFOUND")
endif()
set(${_var}
"${out}"
PARENT_SCOPE)
endfunction()
function(git_get_exact_tag _var)
git_describe(out --exact-match ${ARGN})
set(${_var}
"${out}"
PARENT_SCOPE)
endfunction()
function(git_local_changes _var)
if(NOT GIT_FOUND)
find_package(Git QUIET)
endif()
get_git_head_revision(refspec hash)
if(NOT GIT_FOUND)
set(${_var}
"GIT-NOTFOUND"
PARENT_SCOPE)
return()
endif()
if(NOT hash)
set(${_var}
"HEAD-HASH-NOTFOUND"
PARENT_SCOPE)
return()
endif()
execute_process(
COMMAND "${GIT_EXECUTABLE}" diff-index --quiet HEAD --
WORKING_DIRECTORY "${CMAKE_CURRENT_SOURCE_DIR}"
RESULT_VARIABLE res
OUTPUT_VARIABLE out
ERROR_QUIET OUTPUT_STRIP_TRAILING_WHITESPACE)
if(res EQUAL 0)
set(${_var}
"CLEAN"
PARENT_SCOPE)
else()
set(${_var}
"DIRTY"
PARENT_SCOPE)
endif()
endfunction()

View File

@ -1,43 +0,0 @@
#
# Internal file for GetGitRevisionDescription.cmake
#
# Requires CMake 2.6 or newer (uses the 'function' command)
#
# Original Author:
# 2009-2010 Ryan Pavlik <rpavlik@iastate.edu> <abiryan@ryand.net>
# http://academic.cleardefinition.com
# Iowa State University HCI Graduate Program/VRAC
#
# Copyright 2009-2012, Iowa State University
# Copyright 2011-2015, Contributors
# Distributed under the Boost Software License, Version 1.0.
# (See accompanying file LICENSE_1_0.txt or copy at
# http://www.boost.org/LICENSE_1_0.txt)
# SPDX-License-Identifier: BSL-1.0
set(HEAD_HASH)
file(READ "@HEAD_FILE@" HEAD_CONTENTS LIMIT 1024)
string(STRIP "${HEAD_CONTENTS}" HEAD_CONTENTS)
if(HEAD_CONTENTS MATCHES "ref")
# named branch
string(REPLACE "ref: " "" HEAD_REF "${HEAD_CONTENTS}")
if(EXISTS "@GIT_DIR@/${HEAD_REF}")
configure_file("@GIT_DIR@/${HEAD_REF}" "@GIT_DATA@/head-ref" COPYONLY)
else()
configure_file("@GIT_DIR@/packed-refs" "@GIT_DATA@/packed-refs" COPYONLY)
file(READ "@GIT_DATA@/packed-refs" PACKED_REFS)
if(${PACKED_REFS} MATCHES "([0-9a-z]*) ${HEAD_REF}")
set(HEAD_HASH "${CMAKE_MATCH_1}")
endif()
endif()
else()
# detached HEAD
configure_file("@GIT_DIR@/HEAD" "@GIT_DATA@/head-ref" COPYONLY)
endif()
if(NOT HEAD_HASH)
file(READ "@GIT_DATA@/head-ref" HEAD_HASH LIMIT 1024)
string(STRIP "${HEAD_HASH}" HEAD_HASH)
endif()

View File

@ -1,23 +0,0 @@
Boost Software License - Version 1.0 - August 17th, 2003
Permission is hereby granted, free of charge, to any person or organization
obtaining a copy of the software and accompanying documentation covered by
this license (the "Software") to use, reproduce, display, distribute,
execute, and transmit the Software, and to prepare derivative works of the
Software, and to permit third-parties to whom the Software is furnished to
do so, all subject to the following:
The copyright notices in the Software and this entire statement, including
the above license grant, this restriction and the following disclaimer,
must be included in all copies of the Software, in whole or in part, and
all derivative works of the Software, unless such copies or derivative
works are solely in the form of machine-executable object code generated by
a source language processor.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE, TITLE AND NON-INFRINGEMENT. IN NO EVENT
SHALL THE COPYRIGHT HOLDERS OR ANYONE DISTRIBUTING THE SOFTWARE BE LIABLE
FOR ANY DAMAGES OR OTHER LIABILITY, WHETHER IN CONTRACT, TORT OR OTHERWISE,
ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
DEALINGS IN THE SOFTWARE.

View File

@ -1,36 +0,0 @@
#!/usr/bin/env python3
from qpms import TMatrixGenerator, BaseSpec, eV, hbar
import numpy as np
import sys
errors = 0
def tmg_diagonal_fun(tmatrix, omega):
'''
Example of a python function used as a custom T-matrix generator
It receives a CTMatrix argument with pre-filled BaseSpec
(in tmatrix.spec) and angular frequency.
It has to fill in the T-matrix elements tmatrix[...]
(a numpy array of shape (len(tmatrix.spec),len(tmatrix.spec)))
and return zero (on success) or other integral value on error.
Note that this in justa an example of using the API,
not supposed to be anything physical.
'''
l = tmatrix.spec.l()
tmatrix[...] = np.diag(1./l**2)
return 0
# Wrap the function as an actual TMatrixGenerator
tmg_diagonal = TMatrixGenerator(tmg_diagonal_fun)
bspec = BaseSpec(lMax=2)
tmatrix = tmg_diagonal(bspec, (2.0+.01j) * eV/hbar)
errors += np.sum(tmatrix[...] != np.diag(1./bspec.l()**2))
sys.exit(errors)

View File

@ -1,38 +0,0 @@
#!/bin/bash
echo 'scale=20;pi=3.14159265358979323846;' > bc_env
export BC_ENV_ARGS="bc_env"
# We put those into bc, which does not understant exponential notation
SEPARATION_nm=576
# Particle positions within unit cell
export P1X_nm=0
export P1Y_nm=$(bc <<< ${SEPARATION_nm}/2)
export P2X_nm=0
export P2Y_nm=-$P1Y_nm
# Lattice vectors
export A1X_nm=$(bc <<< ${SEPARATION_nm}'*sqrt(3)')
export A1Y_nm=0
export A2X_nm=$(bc <<< ${SEPARATION_nm}'*sqrt(3)/2')
export A2Y_nm=$(bc <<< ${SEPARATION_nm}'*3/2')
# Reciprocal lattice vectors
export B1X_nmi=$(bc <<< '2*pi/sqrt(3)/'${SEPARATION_nm})
export B1Y_nmi=$(bc <<< '-2*pi/3/'${SEPARATION_nm})
export B2X_nmi=0
export B2Y_nmi=$(bc <<< '4*pi/3/'${SEPARATION_nm})
# a K-point coordinates
export KPOINTX_nmi=$(bc <<< '4*pi/3/sqrt(3)'/${SEPARATION_nm})
export KPOINTY_nmi=0.0 #$(bc <<< '4*pi/3/sqrt(3)'/${SEPARATION_nm})
# a M-point coordinates
export MPOINTX_nmi=0.0
export MPOINTY_nmi=$(bc <<< '2*pi/3'/${SEPARATION_nm})
export RADIUS_nm=50
export HEIGHT_nm=50
export METAL=Au
export BG_REFINDEX=1.52

View File

@ -1,18 +0,0 @@
#!/bin/bash
SCRIPTDIR="$( cd "$( dirname "${BASH_SOURCE[0]}" )" >/dev/null 2>&1 && pwd )"
MISCDIR=../../../misc
source ${SCRIPTDIR}/00_params.sh
${MISCDIR}/lat2d_modes.py \
-n $BG_REFINDEX \
-b s${A1X_nm}e-9 s${A1Y_nm}e-9 \
-b s${A2X_nm}e-9 s${A2Y_nm}e-9 \
-p s${P1X_nm}e-9 s${P1Y_nm}e-9 \
-p s${P2X_nm}e-9 s${P2Y_nm}e-9 \
-L 3 -m $METAL -r ${RADIUS_nm}e-9 -H ${HEIGHT_nm}e-9 \
-k s${KPOINTX_nmi}e9 s${KPOINTY_nmi}e9 \
-d -3 \
-t 0.01 \
-c 250 \
-P

View File

@ -1,16 +0,0 @@
#!/bin/bash
SCRIPTDIR="$( cd "$( dirname "${BASH_SOURCE[0]}" )" >/dev/null 2>&1 && pwd )"
MISCDIR=../../../misc
source ${SCRIPTDIR}/00_params.sh
${MISCDIR}/lat2d_realfreqsvd.py \
-B $BG_REFINDEX \
-b s${A1X_nm}e-9 s${A1Y_nm}e-9 \
-b s${A2X_nm}e-9 s${A2Y_nm}e-9 \
-p s${P1X_nm}e-9 s${P1Y_nm}e-9 \
-p s${P2X_nm}e-9 s${P2Y_nm}e-9 \
-L 3 -m $METAL -r ${RADIUS_nm}e-9 -H ${HEIGHT_nm}e-9 \
-k s${KPOINTX_nmi}e9 s${KPOINTY_nmi}e9 \
-F 1.3 0.001 1.5 \
-P

View File

@ -1,22 +0,0 @@
#!/bin/bash
SCRIPTDIR="$( cd "$( dirname "${BASH_SOURCE[0]}" )" >/dev/null 2>&1 && pwd )"
MISCDIR=../../../misc
source ${SCRIPTDIR}/00_params.sh
for bbb in 1 -2 -3 -4 ; do
for coeff in $(seq 0.80 0.01 1.50 | sed -e s/,/./g) ; do
${MISCDIR}/lat2d_modes.py \
-n $BG_REFINDEX \
-b s${A1X_nm}e-9 s${A1Y_nm}e-9 \
-b s${A2X_nm}e-9 s${A2Y_nm}e-9 \
-p s${P1X_nm}e-9 s${P1Y_nm}e-9 \
-p s${P2X_nm}e-9 s${P2Y_nm}e-9 \
-L 3 -m $METAL -r ${RADIUS_nm}e-9 -H ${HEIGHT_nm}e-9 \
-k s$(bc <<< ${KPOINTX_nmi}*${coeff})e9 s$(bc <<< ${KPOINTY_nmi}*${coeff})e9 \
-d $bbb \
-t 1e13 \
-T 0.2 \
-c 250
done
done

View File

@ -1,24 +0,0 @@
#!/bin/bash
SCRIPTDIR="$( cd "$( dirname "${BASH_SOURCE[0]}" )" >/dev/null 2>&1 && pwd )"
MISCDIR=../../../misc
source ${SCRIPTDIR}/00_params.sh
for bbb in 1 -2 -3 -4 ; do
for coeff in $(seq 0.00 0.01 1.00 | sed -e s/,/./g) ; do
${MISCDIR}/lat2d_modes.py \
-n $BG_REFINDEX \
-b s${A1X_nm}e-9 s${A1Y_nm}e-9 \
-b s${A2X_nm}e-9 s${A2Y_nm}e-9 \
-p s${P1X_nm}e-9 s${P1Y_nm}e-9 \
-p s${P2X_nm}e-9 s${P2Y_nm}e-9 \
-L 3 -m $METAL -r ${RADIUS_nm}e-9 -H ${HEIGHT_nm}e-9 \
-k s$(bc <<< ${MPOINTX_nmi}*${coeff})e9 s$(bc <<< ${MPOINTY_nmi}*${coeff})e9 \
-d $bbb \
-t 1e12 \
-T 0.3 \
-c 250 \
-P
done
done

View File

@ -1,24 +0,0 @@
#!/bin/bash
SCRIPTDIR="$( cd "$( dirname "${BASH_SOURCE[0]}" )" >/dev/null 2>&1 && pwd )"
MISCDIR=../../../misc
source ${SCRIPTDIR}/00_params.sh
for bbb in 1 2 ; do
for coeff in $(seq 0.80 0.01 2.00 | sed -e s/,/./g) ; do
${MISCDIR}/lat2d_modes.py \
-n $BG_REFINDEX \
-b s${A1X_nm}e-9 s${A1Y_nm}e-9 \
-b s${A2X_nm}e-9 s${A2Y_nm}e-9 \
-p s${P1X_nm}e-9 s${P1Y_nm}e-9 \
-p s${P2X_nm}e-9 s${P2Y_nm}e-9 \
-L 3 -m $METAL -r ${RADIUS_nm}e-9 -H ${HEIGHT_nm}e-9 \
-k s$(bc <<< ${KPOINTX_nmi}*${coeff})e9 s$(bc <<< ${KPOINTY_nmi}*${coeff})e9 \
-d -$bbb \
-t 1e12 \
-T 0.2 \
-c 250 \
-P
done
done

View File

@ -1 +0,0 @@
scale=20;pi=3.14159265358979323846;

View File

@ -1,37 +0,0 @@
#!/bin/bash
# Common parameters for a rectangular array
# N.B. We put those into bc, which does not understant exponential notation
export PX_nm=375
export PY_nm=375
export RADIUS_nm=30
export HEIGHT_nm=30
export METAL=Ag
export BG_REFINDEX=1.52
# Setup bc
echo 'scale=20;pi=3.14159265358979323846;' > bc_env
export BC_ENV_ARGS="bc_env"
# We have only one particle per unit cell here
export P1X_nm=0
export P1Y_nm=0
# Lattice vectors (for the general scripts)
export A1X_nm=${PX_nm}
export A1Y_nm=0
export A2X_nm=0
export A2Y_nm=${PY_nm}
# Reciprocal lattice vectors
export B1X_nmi=$(bc <<< '1/'${PX_nm})
export B1Y_nmi=0
export B2X_nmi=0
export B2Y_nmi=$(bc <<< '1/'${PY_nm})

View File

@ -1,18 +0,0 @@
#!/bin/bash
SCRIPTDIR="$( cd "$( dirname "${BASH_SOURCE[0]}" )" >/dev/null 2>&1 && pwd )"
MISCDIR=../../../misc
source ${SCRIPTDIR}/00_params.sh
${MISCDIR}/lat2d_modes.py \
-n $BG_REFINDEX \
-b s${A1X_nm}e-9 s${A1Y_nm}e-9 \
-b s${A2X_nm}e-9 s${A2Y_nm}e-9 \
-p s${P1X_nm}e-9 s${P1Y_nm}e-9 \
-p s${P2X_nm}e-9 s${P2Y_nm}e-9 \
-L 3 -m $METAL -r ${RADIUS_nm}e-9 -H ${HEIGHT_nm}e-9 \
-k s${KPOINTX_nmi}e9 s${KPOINTY_nmi}e9 \
-d -3 \
-t 0.01 \
-c 250 \
-P

View File

@ -1,17 +0,0 @@
#!/bin/bash
SCRIPTDIR="$( cd "$( dirname "${BASH_SOURCE[0]}" )" >/dev/null 2>&1 && pwd )"
MISCDIR=../../../misc
source ${SCRIPTDIR}/00_params.sh
# try several lMaxes
${MISCDIR}/lat2d_realfreqsvd.py \
-B $BG_REFINDEX \
-b s${A1X_nm}e-9 s${A1Y_nm}e-9 \
-b s${A2X_nm}e-9 s${A2Y_nm}e-9 \
-p s${P1X_nm}e-9 s${P1Y_nm}e-9 \
-L 2 -m $METAL -r ${RADIUS_nm}e-9 -H ${HEIGHT_nm}e-9 \
-k 0 0 \
-F 2.001 0.001 2.250 \
-P

View File

@ -1,15 +0,0 @@
#!/bin/bash
SCRIPTDIR="$( cd "$( dirname "${BASH_SOURCE[0]}" )" >/dev/null 2>&1 && pwd )"
MISCDIR=../../../misc
source ${SCRIPTDIR}/00_params.sh
for LMAX in 1 2 3 ; do # try several cutoffs
${MISCDIR}/infiniterectlat-k0realfreqsvd.py \
-B $BG_REFINDEX \
-p ${PX_nm}e-9 ${PY_nm}e-9 \
-L $LMAX -m $METAL -r ${RADIUS_nm}e-9 -H ${HEIGHT_nm}e-9 \
-F 2.001 0.001 2.250 \
-P
done

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@ -1,22 +0,0 @@
#!/bin/bash
SCRIPTDIR="$( cd "$( dirname "${BASH_SOURCE[0]}" )" >/dev/null 2>&1 && pwd )"
MISCDIR=../../../misc
source ${SCRIPTDIR}/00_params.sh
for bbb in 1 -2 -3 -4 ; do
for coeff in $(seq 0.80 0.01 1.50 | sed -e s/,/./g) ; do
${MISCDIR}/lat2d_modes.py \
-n $BG_REFINDEX \
-b s${A1X_nm}e-9 s${A1Y_nm}e-9 \
-b s${A2X_nm}e-9 s${A2Y_nm}e-9 \
-p s${P1X_nm}e-9 s${P1Y_nm}e-9 \
-p s${P2X_nm}e-9 s${P2Y_nm}e-9 \
-L 3 -m $METAL -r ${RADIUS_nm}e-9 -H ${HEIGHT_nm}e-9 \
-k s$(bc <<< ${KPOINTX_nmi}*${coeff})e9 s$(bc <<< ${KPOINTY_nmi}*${coeff})e9 \
-d $bbb \
-t 1e13 \
-T 0.2 \
-c 250
done
done

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#!/bin/bash
SCRIPTDIR="$( cd "$( dirname "${BASH_SOURCE[0]}" )" >/dev/null 2>&1 && pwd )"
MISCDIR=../../../misc
source ${SCRIPTDIR}/00_params.sh
for bbb in 1 -2 -3 -4 ; do
for coeff in $(seq 0.00 0.01 1.00 | sed -e s/,/./g) ; do
${MISCDIR}/lat2d_modes.py \
-n $BG_REFINDEX \
-b s${A1X_nm}e-9 s${A1Y_nm}e-9 \
-b s${A2X_nm}e-9 s${A2Y_nm}e-9 \
-p s${P1X_nm}e-9 s${P1Y_nm}e-9 \
-p s${P2X_nm}e-9 s${P2Y_nm}e-9 \
-L 3 -m $METAL -r ${RADIUS_nm}e-9 -H ${HEIGHT_nm}e-9 \
-k s$(bc <<< ${MPOINTX_nmi}*${coeff})e9 s$(bc <<< ${MPOINTY_nmi}*${coeff})e9 \
-d $bbb \
-t 1e12 \
-T 0.3 \
-c 250 \
-P
done
done

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@ -1,21 +0,0 @@
#!/bin/bash
SCRIPTDIR="$( cd "$( dirname "${BASH_SOURCE[0]}" )" >/dev/null 2>&1 && pwd )"
MISCDIR=../../../misc
source ${SCRIPTDIR}/00_params.sh
for bbb in 1 -2 2 -3 ; do
for coeff in $(seq -0.200 0.010 0.200 | sed -e s/,/./g) ; do
${MISCDIR}/lat2d_modes.py \
-n $BG_REFINDEX \
-b s${A1X_nm}e-9 s${A1Y_nm}e-9 \
-b s${A2X_nm}e-9 s${A2Y_nm}e-9 \
-p s${P1X_nm}e-9 s${P1Y_nm}e-9 \
-L 3 -m $METAL -r ${RADIUS_nm}e-9 -H ${HEIGHT_nm}e-9 \
-k s$(bc <<< ${B1X_nmi}*${coeff})e9 s$(bc <<< ${B1Y_nmi}*${coeff})e9 \
-d $bbb \
-T 0.2 \
-c 250
done
done

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../modes/00_params.sh

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#!/bin/bash
SCRIPTDIR="$( cd "$( dirname "${BASH_SOURCE[0]}" )" >/dev/null 2>&1 && pwd )"
MISCDIR=../../../misc
source ${SCRIPTDIR}/00_params.sh
for PSI in 0 1; do
${MISCDIR}/infiniterectlat-scatter.py \
-B $BG_REFINDEX \
-p ${PX_nm}e-9 ${PY_nm}e-9 \
-L 3 -m $METAL -r ${RADIUS_nm}e-9 -H ${HEIGHT_nm}e-9 \
--theta "s-0.015:0.015|201" \
--phi 0 \
--psi $PSI \
--chi 0 \
-f "s2.110:2.230|100" \
-P
done

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#!/bin/bash
SCRIPTDIR="$( cd "$( dirname "${BASH_SOURCE[0]}" )" >/dev/null 2>&1 && pwd )"
MISCDIR=../../../misc
source ${SCRIPTDIR}/00_params.sh
for PSI in 1; do
${MISCDIR}/finiterectlat-scatter.py \
--size 5 5\
-B $BG_REFINDEX \
-p ${PX_nm}e-9 ${PY_nm}e-9 \
-L 2 -m $METAL -r ${RADIUS_nm}e-9 -H ${HEIGHT_nm}e-9 \
--theta "s-0.05:0.05|101" \
--phi 0 \
--psi $PSI \
--chi 0 \
-f 2.15
done

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#!/bin/bash
SCRIPTDIR="$( cd "$( dirname "${BASH_SOURCE[0]}" )" >/dev/null 2>&1 && pwd )"
MISCDIR=../../../misc
source ${SCRIPTDIR}/00_params.sh
for PSI in 0 1; do
${MISCDIR}/infiniterectlat-scatter.py \
-B $BG_REFINDEX \
-p ${PX_nm}e-9 ${PY_nm}e-9 \
-L 2 -m $METAL -r ${RADIUS_nm}e-9 -H ${HEIGHT_nm}e-9 \
--theta "s-0.05:0.05|101" \
--phi 0 \
--psi $PSI \
--chi 0 \
-P \
-f 2.15
done

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@ -1,25 +0,0 @@
#!/bin/bash
##SBATCH --mem=50000
##SBATCH -c 12
##SBATCH -t 14:00:00
##SBATCH -p batch
SCRIPTDIR="$( cd "$( dirname "${BASH_SOURCE[0]}" )" >/dev/null 2>&1 && pwd )"
MISCDIR=../../../misc
source ${SCRIPTDIR}/00_params.sh
for PSI in 0 1; do
${MISCDIR}/finiterectlat-scatter.py \
--size 140 100 \
-B $BG_REFINDEX \
-p ${PX_nm}e-9 ${PY_nm}e-9 \
-L 2 -m $METAL -r ${RADIUS_nm}e-9 -H ${HEIGHT_nm}e-9 \
--theta "s-0.05:0.05|101" \
--phi 0 \
--psi $PSI \
--chi 0 \
-o 140x100.npz -O 140x100.pdf \
-P \
-f 2.15
done

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@ -1,25 +0,0 @@
#!/bin/bash
##SBATCH --mem=30000
##SBATCH -c 12
##SBATCH -t 14:00:00
##SBATCH -p batch
SCRIPTDIR="$( cd "$( dirname "${BASH_SOURCE[0]}" )" >/dev/null 2>&1 && pwd )"
MISCDIR=../../../misc
source ${SCRIPTDIR}/00_params.sh
for PSI in 1; do
${MISCDIR}/finiterectlat-scatter.py \
--size 100 100 \
-B $BG_REFINDEX \
-p ${PX_nm}e-9 ${PY_nm}e-9 \
-L 2 -m $METAL -r ${RADIUS_nm}e-9 -H ${HEIGHT_nm}e-9 \
--theta "s-0.05:0.05|101" \
--phi 0 \
--psi $PSI \
--chi 0 \
-o 100x100.npz -O 100x100.pdf \
-P \
-f 2.15
done

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@ -1,25 +0,0 @@
#!/bin/bash
##SBATCH --mem=50000
##SBATCH -c 12
##SBATCH -t 14:00:00
##SBATCH -p batch
SCRIPTDIR="$( cd "$( dirname "${BASH_SOURCE[0]}" )" >/dev/null 2>&1 && pwd )"
MISCDIR=../../../misc
source ${SCRIPTDIR}/00_params.sh
for PSI in 0 1; do
${MISCDIR}/finiterectlat-scatter.py \
--size 140 140 \
-B $BG_REFINDEX \
-p ${PX_nm}e-9 ${PY_nm}e-9 \
-L 2 -m $METAL -r ${RADIUS_nm}e-9 -H ${HEIGHT_nm}e-9 \
--theta "s-0.05:0.05|101" \
--phi 0 \
--psi $PSI \
--chi 0 \
-o 140x140.npz -O 140x140.pdf \
-P \
-f 2.15
done

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#!/bin/bash
SCRIPTDIR="$( cd "$( dirname "${BASH_SOURCE[0]}" )" >/dev/null 2>&1 && pwd )"
MISCDIR=../../../misc
source ${SCRIPTDIR}/00_params.sh
for PSI in 1; do
${MISCDIR}/finiterectlat-scatter.py \
--size 20 20 \
-B $BG_REFINDEX \
-p ${PX_nm}e-9 ${PY_nm}e-9 \
-L 3 -m $METAL -r ${RADIUS_nm}e-9 -H ${HEIGHT_nm}e-9 \
--theta "s-0.005:0.005|101" \
--phi 0 \
--psi $PSI \
--chi 0 \
-P \
-f "s2.150:2.180|100" \
done

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@ -1,54 +0,0 @@
# Drude-Lorentz models, with the same constants as in qpms.
# Compared to qpms, sign of the imaginary part is swapped here due
# to different time-frequency transform convention.
MATERIAL LDSilver
# Electronvolt over reduced Planck's constant; the omegas and gammas
# are defined in these units.
eh = 1519267460583196.5;
omegap = 9.01
f0 = 0.84
f1 = 0.065
f2 = 0.124
f3 = 0.111
f4 = 0.84
f5 = 5.646
omega0 = 0.0
omega1 = 0.816
omega2 = 4.481
omega3 = 8.185
omega4 = 9.083
omega5 = 20.29
gamma0 = 0.053
gamma1 = 3.886
gamma2 = 0.452
gamma3 = 0.065
gamma4 = 0.916
gamma5 = 2.419
Eps(w) = f0 * (omegap * eh)^2 / ((omega0 * eh)^2 - w^2 + I * w * gamma0) + f1 * (omegap * eh)^2 / ((omega1 * eh)^2 - w^2 + I * w * gamma1) + f2 * (omegap * eh)^2 / ((omega2 * eh)^2 - w^2 + I * w * gamma2) + f3 * (omegap * eh)^2 / ((omega3 * eh)^2 - w^2 + I * w * gamma3) + f4 * (omegap * eh)^2 / ((omega4 * eh)^2 - w^2 + I * w * gamma4) + f5 * (omegap * eh)^2 / ((omega5 * eh)^2 - w^2 + I * w * gamma5);
ENDMATERIAL
MATERIAL LDGold
eh = 1519267460583196.5;
omegap = 9.03
f0 = 0.76
f1 = 0.024
f2 = 0.010
f3 = 0.071
f4 = 0.601
f5 = 4.384
omega0 = 0.0
omega1 = 0.415
omega2 = 0.83
omega3 = 2.969
omega4 = 4.304
omega5 = 13.32
gamma0 = 0.053
gamma1 = 0.241
gamma2 = 0.345
gamma3 = 0.87
gamma4 = 2.494
gamma5 = 2.214
Eps(w) = f0 * (omegap * eh)^2 / ((omega0 * eh)^2 - w^2 + I * w * gamma0) + f1 * (omegap * eh)^2 / ((omega1 * eh)^2 - w^2 + I * w * gamma1) + f2 * (omegap * eh)^2 / ((omega2 * eh)^2 - w^2 + I * w * gamma2) + f3 * (omegap * eh)^2 / ((omega3 * eh)^2 - w^2 + I * w * gamma3) + f4 * (omegap * eh)^2 / ((omega4 * eh)^2 - w^2 + I * w * gamma4) + f5 * (omegap * eh)^2 / ((omega5 * eh)^2 - w^2 + I * w * gamma5);
ENDMATERIAL

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2.0
2.1
2.2
2.3
2.4

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1.32
1.34
1.35
1.38
1.4
1.5
1.6
1.65
1.7
3.5

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freqlist_scuff: freqlist_eV
../../../../misc/omega_eV2scuff.py -o freqlist_scuff freqlist_eV

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1.0
1.5
2.0

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// radius, height in nanometers
R=RADIUS/1000.;
h=HEIGHT/1000.;
l=ELEMSIZ/1000.;
// Circle centers
Point(1) = { 0, 0, h/2.,l};
Point(2) = { 0, 0, -h/2.,l};
// Upper circle arc limits
Point(3) = { R, 0, h/2.,l};
Point(4) = { 0, R, h/2.,l};
Point(5) = {-R, 0, h/2.,l};
Point(6) = { 0, -R, h/2.,l};
// Upper circle
Circle(1) = {3, 1, 4};
Circle(2) = {4, 1, 5};
Circle(3) = {5, 1, 6};
Circle(4) = {6, 1, 3};
// Lower circle arc limits
Point(7) = { R, 0, -h/2.,l};
Point(8) = { 0, R, -h/2.,l};
Point(9) = {-R, 0, -h/2.,l};
Point(10) = { 0, -R, -h/2.,l};
// Lower circle
Circle(5) = { 7, 2, 8};
Circle(6) = { 8, 2, 9};
Circle(7) = { 9, 2, 10};
Circle(8) = {10, 2, 7};
Line( 9) = {3,7};
Line(10) = {4,8};
Line(11) = {5,9};
Line(12) = {6,10};
Line Loop(13) = {1, 2, 3, 4};
Line Loop(14) = {5, 6, 7, 8};
Line Loop(15) = {1, 10, -5, -9};
Line Loop(16) = {2, 11, -6, -10};
Line Loop(17) = {3, 12, -7, -11};
Line Loop(18) = {4, 9, -8, -12};
Ruled Surface(19) = {13};
Ruled Surface(20) = {14};
Ruled Surface(21) = {15};
Ruled Surface(22) = {16};
Ruled Surface(23) = {17};
Ruled Surface(24) = {18};
Physical Surface(1) = {19,20,21,22,23,24};

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#!/bin/sh
sed -e "s/RADIUS/30./g" -e "s/HEIGHT/30./g" -e "s/ELEMSIZ/4./g" cylinder.geo.template >tmp.geo \
&& gmsh tmp.geo -o cylinder_r30_h30_fine.msh -2
sed -e "s/RADIUS/30./g" -e "s/HEIGHT/30./g" -e "s/ELEMSIZ/7./g" cylinder.geo.template >tmp.geo \
&& gmsh tmp.geo -o cylinder_r30_h30.msh -2
sed -e "s/RADIUS/30./g" -e "s/HEIGHT/30./g" -e "s/ELEMSIZ/15./g" cylinder.geo.template >tmp.geo \
&& gmsh tmp.geo -o cylinder_r30_h30_rough.msh -2
sed -e "s/RADIUS/30./g" -e "s/HEIGHT/30./g" -e "s/ELEMSIZ/25./g" cylinder.geo.template >tmp.geo \
&& gmsh tmp.geo -o cylinder_r30_h30_veryrough.msh -2
sed -e "s/RADIUS/100./g" -e "s/HEIGHT/50./g" -e "s/ELEMSIZ/13.3/g" cylinder.geo.template >tmp.geo \
&& gmsh tmp.geo -o cylinder_r100_h50_fine.msh -2
sed -e "s/RADIUS/100./g" -e "s/HEIGHT/50./g" -e "s/ELEMSIZ/23.3/g" cylinder.geo.template >tmp.geo \
&& gmsh tmp.geo -o cylinder_r100_h50.msh -2
sed -e "s/RADIUS/100./g" -e "s/HEIGHT/50./g" -e "s/ELEMSIZ/50./g" cylinder.geo.template >tmp.geo \
&& gmsh tmp.geo -o cylinder_r100_h50_rough.msh -2
sed -e "s/RADIUS/100./g" -e "s/HEIGHT/50./g" -e "s/ELEMSIZ/83.3/g" cylinder.geo.template >tmp.geo \
&& gmsh tmp.geo -o cylinder_r100_h50_veryrough.msh -2
rm tmp.geo

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//
// gmsh geometry specification for a sphere of radius R = RADIUS nm
//
//************************************************************
//* input parameters
//************************************************************
R = RADIUS/1000.; // radius
//************************************************************
//* meshing finenesses ***************************************
//************************************************************
l3 = ELEMSIZ/1000.; // fineness at north pole
l2 = ELEMSIZ/1000.; // fineness at equator
l1 = ELEMSIZ/1000.; // fineness at south pole
//************************************************************
//* upper sphere *********************************************
//************************************************************
Point(1) = { 0 , 0, 0.0, l2};
Point(2) = { R, 0, 0.0, l2};
Point(3) = { 0 , R, 0.0, l2};
Circle(1) = {2,1,3};
Point(4) = { -R, 0, 0.0, l2};
Point(5) = { 0, -R, 0.0, l2};
Circle(2) = {3,1,4};
Circle(3) = {4,1,5};
Circle(4) = {5,1,2};
Point(6) = { 0, 0, 0.0+R, l3};
Point(7) = { 0, 0, 0.0-R, l1};
Circle(5) = {3,1,6};
Circle(6) = {6,1,5};
Circle(7) = {5,1,7};
Circle(8) = {7,1,3};
Circle(9) = {2,1,7};
Circle(10) = {7,1,4};
Circle(11) = {4,1,6};
Circle(12) = {6,1,2};
Line Loop(13) = {2,8,-10};
Ruled Surface(14) = {13};
Line Loop(15) = {10,3,7};
Ruled Surface(16) = {15};
Line Loop(17) = {-8,-9,1};
Ruled Surface(18) = {17};
Line Loop(19) = {-11,-2,5};
Ruled Surface(20) = {19};
Line Loop(21) = {-5,-12,-1};
Ruled Surface(22) = {21};
Line Loop(23) = {-3,11,6};
Ruled Surface(24) = {23};
Line Loop(25) = {-7,4,9};
Ruled Surface(26) = {25};
Line Loop(27) = {-4,12,-6};
Ruled Surface(28) = {27};
Physical Surface(1) = {28,26,16,14,20,24,22,18};
//************************************************************
//* reference point to get outward-pointing surface normals right
//************************************************************
Physical Point(1) = {1};

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tmatrices: tmatrices_veryrough tmatrices_rough tmatrices_normal tmatrices_fine
omegalists_scuff: omegalist2_scuff omegalist1_scuff
omegalist1_scuff: omegalist1_eV
../../../misc/omega_eV2scuff.py -o omegalist1_scuff omegalist1_eV
omegalist2_scuff: omegalist2_eV
../../../misc/omega_eV2scuff.py -o omegalist2_scuff omegalist2_eV
tmatrices_veryrough: cylinderAu_r100_h50_lMax3_veryrough.TMatrix cylinderAg_r30_h30_lMax3_veryrough.TMatrix
tmatrices_rough: cylinderAu_r100_h50_lMax3_rough.TMatrix cylinderAg_r30_h30_lMax3_rough.TMatrix
tmatrices_fine: cylinderAu_r100_h50_lMax3_fine.TMatrix cylinderAg_r30_h30_lMax3_fine.TMatrix
tmatrices_normal: cylinderAu_r100_h50_lMax3.TMatrix cylinderAg_r30_h30_lMax3.TMatrix
cylinderAu_r100_h50.scuffgeo: cylinder.scuffgeo.template
sed -e 's/__THEMESHFILE__/cylinder_r100_h50.msh/' -e 's/__THEMATERIAL__/LDGold/' cylinder.scuffgeo.template > $@
cylinderAu_r100_h50_veryrough.scuffgeo: cylinder.scuffgeo.template
sed -e 's/__THEMESHFILE__/cylinder_r100_h50_veryrough.msh/' -e 's/__THEMATERIAL__/LDGold/' cylinder.scuffgeo.template > $@
cylinderAu_r100_h50_rough.scuffgeo: cylinder.scuffgeo.template
sed -e 's/__THEMESHFILE__/cylinder_r100_h50_rough.msh/' -e 's/__THEMATERIAL__/LDGold/' cylinder.scuffgeo.template > $@
cylinderAu_r100_h50_fine.scuffgeo: cylinder.scuffgeo.template
sed -e 's/__THEMESHFILE__/cylinder_r100_h50_fine.msh/' -e 's/__THEMATERIAL__/LDGold/' cylinder.scuffgeo.template > $@
cylinderAg_r30_h30.scuffgeo: cylinder.scuffgeo.template
sed -e 's/__THEMESHFILE__/cylinder_r30_h30.msh/' -e 's/__THEMATERIAL__/LDSilver/' cylinder.scuffgeo.template > $@
cylinderAg_r30_h30_veryrough.scuffgeo: cylinder.scuffgeo.template
sed -e 's/__THEMESHFILE__/cylinder_r30_h30_veryrough.msh/' -e 's/__THEMATERIAL__/LDSilver/' cylinder.scuffgeo.template > $@
cylinderAg_r30_h30_rough.scuffgeo: cylinder.scuffgeo.template
sed -e 's/__THEMESHFILE__/cylinder_r30_h30_rough.msh/' -e 's/__THEMATERIAL__/LDSilver/' cylinder.scuffgeo.template > $@
cylinderAg_r30_h30_fine.scuffgeo: cylinder.scuffgeo.template
sed -e 's/__THEMESHFILE__/cylinder_r30_h30_fine.msh/' -e 's/__THEMATERIAL__/LDSilver/' cylinder.scuffgeo.template > $@
cylinderAu_r100_h50_lMax3.TMatrix: omegalist1_scuff cylinder_r100_h50.msh cylinderAu_r100_h50.scuffgeo
scuff-tmatrix --geometry cylinderAu_r100_h50.scuffgeo --OmegaFile omegalist1_scuff --FileBase $(@:.TMatrix=) --LMax 3
cylinderAu_r100_h50_lMax3_veryrough.TMatrix: omegalist1_scuff cylinder_r100_h50_veryrough.msh cylinderAu_r100_h50_veryrough.scuffgeo
scuff-tmatrix --geometry cylinderAu_r100_h50_veryrough.scuffgeo --OmegaFile omegalist1_scuff --FileBase $(@:.TMatrix=) --LMax 3
cylinderAu_r100_h50_lMax3_rough.TMatrix: omegalist1_scuff cylinder_r100_h50_rough.msh cylinderAu_r100_h50_rough.scuffgeo
scuff-tmatrix --geometry cylinderAu_r100_h50_rough.scuffgeo --OmegaFile omegalist1_scuff --FileBase $(@:.TMatrix=) --LMax 3
cylinderAu_r100_h50_lMax3_fine.TMatrix: omegalist1_scuff cylinder_r100_h50_fine.msh cylinderAu_r100_h50_fine.scuffgeo
scuff-tmatrix --geometry cylinderAu_r100_h50_fine.scuffgeo --OmegaFile omegalist1_scuff --FileBase $(@:.TMatrix=) --LMax 3
cylinderAg_r30_h30_lMax3_veryrough.TMatrix: omegalist2_scuff cylinder_r30_h30_veryrough.msh cylinderAg_r30_h30_veryrough.scuffgeo
scuff-tmatrix --geometry cylinderAg_r30_h30_veryrough.scuffgeo --OmegaFile omegalist2_scuff --FileBase $(@:.TMatrix=) --LMax 3
cylinderAg_r30_h30_lMax3_rough.TMatrix: omegalist2_scuff cylinder_r30_h30_rough.msh cylinderAg_r30_h30_rough.scuffgeo
scuff-tmatrix --geometry cylinderAg_r30_h30_rough.scuffgeo --OmegaFile omegalist2_scuff --FileBase $(@:.TMatrix=) --LMax 3
cylinderAg_r30_h30_lMax3_fine.TMatrix: omegalist2_scuff cylinder_r30_h30_fine.msh cylinderAg_r30_h30_fine.scuffgeo
scuff-tmatrix --geometry cylinderAg_r30_h30_fine.scuffgeo --OmegaFile omegalist2_scuff --FileBase $(@:.TMatrix=) --LMax 3
cylinderAg_r30_h30_lMax3.TMatrix: omegalist2_scuff cylinder_r30_h30.msh cylinderAg_r30_h30.scuffgeo
scuff-tmatrix --geometry cylinderAg_r30_h30.scuffgeo --OmegaFile omegalist2_scuff --FileBase $(@:.TMatrix=) --LMax 3

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REGION Exterior MATERIAL CONST_EPS_2.3104
OBJECT TheParticle
MESHFILE __THEMESHFILE__
MATERIAL __THEMATERIAL__
ENDOBJECT

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../shapes/cylinder_r100_h50.msh

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../shapes/cylinder_r100_h50_fine.msh

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../shapes/cylinder_r100_h50_rough.msh

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../shapes/cylinder_r100_h50_veryrough.msh

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../shapes/cylinder_r30_h30.msh

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../shapes/cylinder_r30_h30_fine.msh

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../shapes/cylinder_r30_h30_rough.msh

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../shapes/cylinder_r30_h30_veryrough.msh

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../materials/matprop.dat

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../omegalist1_eV

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../omegalist2_eV

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@ -1,19 +0,0 @@
#!/bin/bash
#SBATCH --mem=200
#SBATCH -t 30:00
#SBATCH -c 4
#SBATCH -p short-ivb
#SBATCH --array=0-250
cat $0
contour_points=410
#radii_nm=(`seq 80 1 150`)
radii_nm=(`seq 50 1 300`)
radius_nm=${radii_nm[$SLURM_ARRAY_TASK_ID]}
for lMax in $(seq 1 5); do
srun rectlat_simple_modes.py -p 580e-9 -m '4+0.7j' -r ${radius_nm}e-9 -k 0 0 --kpi -n 1.52 -L lMax -t 1e11 -b -2 -f 0.1 -i 1. -T .3 -N ${contour_points}
done

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@ -1,13 +0,0 @@
#!/bin/bash
kx=0.0
contour_points=410
radii_nm=(`seq 50 1 300`)
radius_nm=${radii_nm[$SLURM_ARRAY_TASK_ID]}
for lMax in $(seq 1 5) ; do
for radius_nm in $(seq 50 1 300) ; do
rectlat_simple_modes.py -p 580e-9 -m 'Au' -r ${radius_nm}e-9 -k $kx 0 --kpi -n 1.52 -L $lMax -t 1e11 -b -2 -f 0.1 -i 1. -T .3 -N ${contour_points} --lMax-extend 10
done
done

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@ -1,11 +0,0 @@
#!/bin/bash
kx=0.0
contour_points=410
radii_nm=(`seq 50 1 300`)
radius_nm=${radii_nm[$SLURM_ARRAY_TASK_ID]}
for radius_nm in $(seq 50 1 300) ; do
rectlat_simple_modes.py -p 580e-9 -m 'Au' -r ${radius_nm}e-9 -k $kx 0 --kpi -n 1.52 -L 1 -t 1e11 -b -2 -f 0.1 -i 1. -T .3 -N ${contour_points}
done

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@ -1,300 +0,0 @@
{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import re\n",
"import numpy as np\n",
"import matplotlib\n",
"from matplotlib import pyplot as plt\n",
"from scipy.constants import hbar, e as eV, c\n",
"eh = eV/hbar\n",
"import glob\n",
"def ri(z): return (z.real, z.imag)\n",
"#m = re.compile(r\"([^_]+)_r([0-9.]+)nm_\")\n",
"#removek = re.compile(r\"(k\\([^)]+\\)um-1_)\")\n",
"remover = re.compile(r\"r[0-9.]+nm_\")\n",
"\n",
"\n",
"markerdict = {\n",
" 4: \"3\",\n",
" -4: \"4\",\n",
" 3: \"^\",\n",
" -3: \"v\",\n",
" -2: 'x',\n",
" 2: '+',\n",
" 1: 's',\n",
" -1: 'd',\n",
"}\n",
"\n",
"prop_cycle = plt.rcParams['axes.prop_cycle']\n",
"colors = prop_cycle.by_key()['color']\n",
"colordict = {i: colors[(i+1)] for i in range(-4,8)}\n",
"\n",
"def markerfun(b):\n",
" if b in markerdict.keys():\n",
" return markerdict[b]\n",
" else: return 'X'\n",
"\n",
"def colorfun(b):\n",
" if (b+1) in colordict.keys():\n",
" return colordict[b+1]\n",
" else: return colordict[0]"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"allfiles=glob.glob('*sph*k(0_0)*.npz')\n",
"allgraphs=dict()\n",
"for f in allfiles:\n",
" base = remover.sub('', f)\n",
" if base in allgraphs.keys():\n",
" allgraphs[base] += 1\n",
" else:\n",
" allgraphs[base] = 1\n",
"for k in sorted(allgraphs.keys()):\n",
" print(k, allgraphs[k])"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"ename": "FileNotFoundError",
"evalue": "[Errno 2] No such file or directory: 'projectors_D4h_lMax1.npz'",
"output_type": "error",
"traceback": [
"\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
"\u001b[0;31mFileNotFoundError\u001b[0m Traceback (most recent call last)",
"\u001b[0;32m<ipython-input-3-0c266089be08>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0mlMaxes\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m[\u001b[0m\u001b[0mlMax\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0mlMax\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mrange\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m6\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0mlMax\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mlMaxes\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 5\u001b[0;31m \u001b[0mproj\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mload\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'projectors_D4h_lMax%d.npz'\u001b[0m \u001b[0;34m%\u001b[0m \u001b[0mlMax\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 6\u001b[0m \u001b[0mirlabels\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0msorted\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mproj\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mkeys\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 7\u001b[0m \u001b[0mproj\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m{\u001b[0m\u001b[0mf\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0mproj\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mf\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0mf\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mirlabels\u001b[0m\u001b[0;34m}\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;32m~/.local/lib/python3.7/site-packages/numpy-1.17.3-py3.7-linux-x86_64.egg/numpy/lib/npyio.py\u001b[0m in \u001b[0;36mload\u001b[0;34m(file, mmap_mode, allow_pickle, fix_imports, encoding)\u001b[0m\n\u001b[1;32m 426\u001b[0m \u001b[0mown_fid\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;32mFalse\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 427\u001b[0m \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 428\u001b[0;31m \u001b[0mfid\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mopen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mos_fspath\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mfile\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m\"rb\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 429\u001b[0m \u001b[0mown_fid\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;32mTrue\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 430\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;31mFileNotFoundError\u001b[0m: [Errno 2] No such file or directory: 'projectors_D4h_lMax1.npz'"
]
}
],
"source": [
"projectors = dict()\n",
"projectors_list = dict()\n",
"lMaxes = [lMax for lMax in range(1,6)]\n",
"for lMax in lMaxes:\n",
" proj = np.load('projectors_D4h_lMax%d.npz' % lMax)\n",
" irlabels = sorted(proj.keys())\n",
" proj = {f: proj[f] for f in irlabels}\n",
" proj_list = [proj[irlabels[i]] for i in range(len(proj))]\n",
" projectors[lMax] = proj\n",
" projectors_list[lMax] = proj_list\n",
"globpattern = '*sph_r*_p580nmx580nm_mAu_n1.52_b?2_k(0_0)um-1_L?_cn???.npz'\n",
"filenames=glob.glob(globpattern)\n",
"plotfilename = 'collected_' + globpattern.replace('*', 'XXX').replace('?', 'X').replace('npz','pdf')\n",
"print(filenames[:4], plotfilename)\n"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {},
"outputs": [],
"source": [
"#projectors\n",
"#glob.glob('cyl_r100nm*L3*3100.npz')\n",
"#glob.glob('sph_r100*m5*.npz')\n",
"#dat['meta'][()],list(dat.keys())"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"inpure result detected [1. 0.99999999 1. 0.97991334 0.99999996 0.9999989\n",
" 0.99999983 0.99999966 0.99999322 0.99999721 0.99999653] [3.28735741e-04 2.66532534e-05 2.47011478e-05 1.45012420e-01\n",
" 2.44785416e-04 7.05405359e-04 1.60203586e-03 1.71245137e-03\n",
" 1.03244480e-02 9.18732728e-03 1.18651583e-02]\n",
"inpure result detected [1. 1. 0.99999998 0.99999999 0.99999996 0.96608887\n",
" 0.99999852 0.99999397 0.99998951 0.99999912 0.99982435] [2.66223026e-04 2.12357147e-05 3.54211968e-05 1.06651057e-04\n",
" 2.79595790e-04 2.41939163e-01 2.17645058e-03 3.41541473e-03\n",
" 1.14507609e-02 1.49639498e-02 2.33483138e-02]\n",
"inpure result detected [1. 1. 0.92521572 1. 0.99999627 0.99990293\n",
" 0.99946049] [1.59712906e-05 3.60193407e-05 2.48341492e-01 1.21848930e-03\n",
" 3.81805601e-03 2.42649228e-02 2.99534246e-02]\n",
"inpure result detected [1. 1. 0.99999998 0.99999961 0.93267685 0.99999964\n",
" 0.99999822 0.99921774 0.99995547 0.99997301] [5.22490396e-04 3.01556792e-05 4.88795563e-05 6.29703960e-04\n",
" 2.34414238e-01 3.72766210e-03 4.72444059e-03 7.62106094e-02\n",
" 6.32796684e-02 5.63231562e-02]\n"
]
}
],
"source": [
"plotdata = {}\n",
"for file in filenames:\n",
" dat = np.load(file, allow_pickle=True)\n",
" kx = dat['meta'][()]['k'][0]\n",
" radius = dat['meta'][()]['radius']\n",
" b = dat['meta'][()]['band_index']\n",
" eigvals = dat['eigval']\n",
" lMax = dat['meta'][()]['lMax']\n",
" residuals = dat['residuals']\n",
" ef =dat['empty_freqs']\n",
" eigvecs = dat['eigvec']\n",
" irweights = []\n",
" #for proj in projectors_list[lMax]:\n",
" # try:\n",
" # irweights.append(np.linalg.norm(np.tensordot(proj, eigvecs, axes=(-1, -1)), axis=0,ord=2) if len(proj) != 0 else np.zeros((len(eigvecs),)))\n",
" # except ValueError as err:\n",
" # print(proj, len(proj))\n",
" # raise err\n",
" irweights = np.array(irweights)\n",
" #print(irweights)\n",
" irweights = np.array([np.linalg.norm(np.tensordot(proj, eigvecs, axes=(-1, -1)), axis=0,ord=2) if len(proj) != 0 else np.zeros((len(eigvecs),)) for proj in projectors_list[lMax]]).T\n",
" irclass = np.argmax(irweights, axis=-1)\n",
" purities = np.amax(irweights, axis=-1)\n",
" if (np.any(purities < 0.98)):\n",
" print(\"inpure result detected\", purities, residuals)\n",
" #print(purities)\n",
" \n",
" #for i in range(len(residuals)): \n",
" # if residuals[i] < 0.01:\n",
" # vec = eigvecs[i]\n",
" # for irlabel, proj in projectors.items():\n",
" # print(irlabel, np.linalg.norm(np.dot(proj, vec))) #maybe some conj() here?\n",
" # print('--->', irlabels[irclass[i]])\n",
"\n",
" \n",
" plotdata[(lMax,radius)] = (eigvals, residuals, b, ef, irclass,)\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"fig = plt.figure(figsize=(15,6))\n",
"axesR = {}\n",
"axesI = {}\n",
"for i, lMax in enumerate(lMaxes):\n",
" axesR[lMax] = fig.add_subplot(2,len(lMaxes),i+1)\n",
" axesR[lMax].set_xlim([50,300])\n",
" axesR[lMax].set_ylim([1.25, ef[1]/eh])\n",
" axesI[lMax] = fig.add_subplot(2,len(lMaxes),len(lMaxes)+i+1)\n",
" axesI[lMax].set_xlim([50,300])\n",
" axesI[lMax].set_ylim([-60, 30])\n",
" axesR[lMax].set_title('$l_\\max = %d $' % lMax) \n",
" axesR[lMax].tick_params(labelbottom=False) \n",
" if i == len(lMaxes)//2:\n",
" axesI[lMax].set_xlabel(\"Particle base radius / nm\")\n",
" if i == 0:\n",
" axesR[lMax].set_ylabel('$\\hbar \\Re \\omega / \\mathrm{eV}$')\n",
" axesI[lMax].set_ylabel('$\\hbar \\Im \\omega / \\mathrm{meV}$')\n",
" else:\n",
" axesR[lMax].tick_params(labelleft=False) \n",
" axesI[lMax].tick_params(labelleft=False) \n",
"\n",
"res_thr = 0.005\n",
"\n",
"ir_labeled=set()\n",
"if True:\n",
" for (lMax, radius), (eigvals, residuals, b, ef, irclass) in plotdata.items():\n",
" for i, (e, res, iri) in enumerate(zip(eigvals, residuals, irclass)):\n",
" #if i == 0:\n",
" if res < res_thr:# and e.real < 2.14e15:\n",
" if iri in ir_labeled: \n",
" label=None\n",
" else:\n",
" ir_labeled.add(iri)\n",
" label=irlabels[iri]\n",
" axesR[lMax].plot(radius*1e9, e.real/eh, \n",
" marker='.',\n",
" #marker=markerfun(b),\n",
" ms=4, #c=colorfun(b)\n",
" c=matplotlib.cm.hsv(iri/9),\n",
" #c = colorfun(iri),\n",
" label=label,\n",
" )\n",
" axesI[lMax].plot(radius*1e9, e.imag/eh*1000, \n",
" #marker='x', \n",
" #c=colorfun(b), \n",
" c=matplotlib.cm.hsv(iri/9),#colorfun(iri),\n",
" marker='.', #markerfun(b),\n",
" ms=4,\n",
" #label=label\n",
" )\n",
"fig.legend(title=\"Irrep\", loc=\"center right\")\n",
"#fig.suptitle('$l_\\mathrm{max}=%d$, residual threshold = %g' % (lMax, res_thr) )\n",
"fig.savefig(plotfilename)\n",
"fig.savefig(plotfilename.replace('pdf', 'png'))\n",
"print(plotfilename)"
]
},
{
"cell_type": "code",
"execution_count": 55,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([0. , 1.40635433, 1.98888536, 2.81270865, 3.14470387,\n",
" 3.97777072, 4.21906298, 4.44728287])"
]
},
"execution_count": 55,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"ef / eh"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.6"
}
},
"nbformat": 4,
"nbformat_minor": 4
}

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@ -1,19 +0,0 @@
cmake_minimum_required(VERSION 3.0)
include(GNUInstallDirs)
project(Faddeeva VERSION 1.0 LANGUAGES C)
option(FADDEEVA_BUILD_STATIC "Build Faddeeva as static library" OFF)
if (FADDEEVA_BUILD_STATIC)
add_library(Faddeeva STATIC Faddeeva.h Faddeeva.c Faddeeva.cc)
else (FADDEEVA_BUILD_STATIC)
add_library(Faddeeva SHARED Faddeeva.c)
set_target_properties(Faddeeva PROPERTIES PUBLIC_HEADER "Faddeeva.h")
install(TARGETS Faddeeva
LIBRARY DESTINATION ${CMAKE_INSTALL_LIBDIR}
PUBLIC_HEADER DESTINATION ${CMAKE_INSTALL_INCLUDEDIR})
endif (FADDEEVA_BUILD_STATIC)
target_include_directories(Faddeeva PUBLIC ${CMAKE_CURRENT_SOURCE_DIR})

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@ -1,3 +0,0 @@
/* The Faddeeva.cc file contains macros to let it compile as C code
(assuming C99 complex-number support), so just #include it. */
#include "Faddeeva.cc"

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@ -1,68 +0,0 @@
/* Copyright (c) 2012 Massachusetts Institute of Technology
*
* Permission is hereby granted, free of charge, to any person obtaining
* a copy of this software and associated documentation files (the
* "Software"), to deal in the Software without restriction, including
* without limitation the rights to use, copy, modify, merge, publish,
* distribute, sublicense, and/or sell copies of the Software, and to
* permit persons to whom the Software is furnished to do so, subject to
* the following conditions:
*
* The above copyright notice and this permission notice shall be
* included in all copies or substantial portions of the Software.
*
* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
* EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
* NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE
* LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION
* OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION
* WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
*/
/* Available at: http://ab-initio.mit.edu/Faddeeva
Header file for Faddeeva.c; see Faddeeva.cc for more information. */
#ifndef FADDEEVA_H
#define FADDEEVA_H 1
// Require C99 complex-number support
#include <complex.h>
#ifdef __cplusplus
extern "C"
{
#endif /* __cplusplus */
// compute w(z) = exp(-z^2) erfc(-iz) [ Faddeeva / scaled complex error func ]
extern double complex Faddeeva_w(double complex z,double relerr);
extern double Faddeeva_w_im(double x); // special-case code for Im[w(x)] of real x
// Various functions that we can compute with the help of w(z)
// compute erfcx(z) = exp(z^2) erfc(z)
extern double complex Faddeeva_erfcx(double complex z, double relerr);
extern double Faddeeva_erfcx_re(double x); // special case for real x
// compute erf(z), the error function of complex arguments
extern double complex Faddeeva_erf(double complex z, double relerr);
extern double Faddeeva_erf_re(double x); // special case for real x
// compute erfi(z) = -i erf(iz), the imaginary error function
extern double complex Faddeeva_erfi(double complex z, double relerr);
extern double Faddeeva_erfi_re(double x); // special case for real x
// compute erfc(z) = 1 - erf(z), the complementary error function
extern double complex Faddeeva_erfc(double complex z, double relerr);
extern double Faddeeva_erfc_re(double x); // special case for real x
// compute Dawson(z) = sqrt(pi)/2 * exp(-z^2) * erfi(z)
extern double complex Faddeeva_Dawson(double complex z, double relerr);
extern double Faddeeva_Dawson_re(double x); // special case for real x
#ifdef __cplusplus
}
#endif /* __cplusplus */
#endif // FADDEEVA_H

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/* Copyright (c) 2012 Massachusetts Institute of Technology
*
* Permission is hereby granted, free of charge, to any person obtaining
* a copy of this software and associated documentation files (the
* "Software"), to deal in the Software without restriction, including
* without limitation the rights to use, copy, modify, merge, publish,
* distribute, sublicense, and/or sell copies of the Software, and to
* permit persons to whom the Software is furnished to do so, subject to
* the following conditions:
*
* The above copyright notice and this permission notice shall be
* included in all copies or substantial portions of the Software.
*
* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
* EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
* NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE
* LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION
* OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION
* WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
*/
/* Available at: http://ab-initio.mit.edu/Faddeeva
Header file for Faddeeva.cc; see that file for more information. */
#ifndef FADDEEVA_HH
#define FADDEEVA_HH 1
#include <complex>
namespace Faddeeva {
// compute w(z) = exp(-z^2) erfc(-iz) [ Faddeeva / scaled complex error func ]
extern std::complex<double> w(std::complex<double> z,double relerr=0);
extern double w_im(double x); // special-case code for Im[w(x)] of real x
// Various functions that we can compute with the help of w(z)
// compute erfcx(z) = exp(z^2) erfc(z)
extern std::complex<double> erfcx(std::complex<double> z, double relerr=0);
extern double erfcx(double x); // special case for real x
// compute erf(z), the error function of complex arguments
extern std::complex<double> erf(std::complex<double> z, double relerr=0);
extern double erf(double x); // special case for real x
// compute erfi(z) = -i erf(iz), the imaginary error function
extern std::complex<double> erfi(std::complex<double> z, double relerr=0);
extern double erfi(double x); // special case for real x
// compute erfc(z) = 1 - erf(z), the complementary error function
extern std::complex<double> erfc(std::complex<double> z, double relerr=0);
extern double erfc(double x); // special case for real x
// compute Dawson(z) = sqrt(pi)/2 * exp(-z^2) * erfi(z)
extern std::complex<double> Dawson(std::complex<double> z, double relerr=0);
extern double Dawson(double x); // special case for real x
} // namespace Faddeeva
#endif // FADDEEVA_HH

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Using QPMS library for simulating finite systems
================================================
*** This tutorial is partly obsolete, the interpolators are no longer the first choice of getting the T-matrices. ***
The main C API for finite systems is defined in [scatsystem.h][], and the
most relevant parts are wrapped into python modules. The central data structure
defining the system of scatterers is [qpms_scatsys_t][],

118
lattices.md Normal file
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Using QPMS library for finding modes of 2D-periodic systems
===========================================================
Calculating modes of infinite 2D arrays is now done
in several steps (assuming the T-matrices have already
been obtained using `scuff-tmatrix` or can be obtained
from Lorenz-Mie solution (spherical particles)):
1. Sampling the *k*, *ω* space.
2. Pre-calculating the
Ewald-summed translation operators.
3. For each *k*, *ω* pair, build the LHS operator
for the scattering problem (TODO reference), optionally decomposed
into suitable irreducible representation subspaces.
4. Evaluating the singular values and finding their minima.
The steps above may (and will) change as more user-friendly interface
will be developed.
Preparation: compile the `ew_gen_kin` utility
---------------------------------------------
This will change, but at this point, the lattice-summed
translation operators are computed using the `ew_gen_kin`
utility located in the `qpms/apps` directory. It has to be built
manually like this:
```bash
cd qpms/apps
c99 -o ew_gen_kin -Wall -I ../.. -I ../../amos/ -O2 -ggdb -DQPMS_VECTORS_NICE_TRANSFORMATIONS -DLATTICESUMS32 2dlattice_ewald.c ../translations.c ../ewald.c ../ewaldsf.c ../gaunt.c ../lattices2d.c ../latticegens.c ../bessel.c -lgsl -lm -lblas ../../amos/libamos.a -lgfortran ../error.c
```
Step 1: Sampling the *k*, *ω* space
--------------------------------------
`ew_gen_kin` expects a list of (*k_x*, *k_y*)
pairs on standard input (separated by whitespaces),
the rest is specified via command line arguments.
So if we want to examine the line between the Г point and the point
\f$ k = (0, 10^5\,\mathrm{m}^{-1}) \f$, we can generate an input
running
```bash
for ky in $(seq 0 1e3 1e5); do
echo 0 $ky >> klist
done
```
It also make sense to pre-generate the list of *ω* values,
e.g.
```bash
seq 6.900 0.002 7.3 | sed -e 's/,/./g' > omegalist
```
Step 2: Pre-calculating the translation operators
-------------------------------------------------
`ew_gen_kin` currently uses command-line arguments in
an atrocious way with a hard-coded order:
```
ew_gen_kin outfile b1.x b1.y b2.x b2.y lMax scuffomega refindex npart part0.x part0.y [part1.x part1.y [...]]
```
where `outfile` specifies the path to the output, `b1` and `b2` are the
direct lattice vectors, `lMax` is the multipole degree cutoff,
`scuffomega` is the frequency in the units used by `scuff-tmatrix`
(TODO specify), `refindex` is the refractive index of the background
medium, `npart` number of particles in the unit cell, and `partN` are
the positions of these particles inside the unit cell.
Assuming we have the `ew_gen_kin` binary in our `${PATH}`, we can
now run e.g.
```bash
for omega in $(cat omegalist); do
ew_gen_kin $omega 621e-9 0 0 571e-9 3 w_$omega 1.52 1 0 0 < klist
done
```
This pre-calculates the translation operators for a simple (one particle per unit cell)
621 nm × 571 nm rectangular lattice inside a medium with refractive index 1.52,
up to the octupole (`lMax` = 3) order, yielding one file per frequency.
This can take some time and
it makes sense to run a parallelised `for`-loop instead; this is a stupid but working
way to do it in bash:
```bash
N=4 # number of parallel processes
for omega in $(cat omegalist); do
((i=i%N)); ((i++==0)) && wait
ew_gen_kin $omega 621e-9 0 0 571e-9 3 w_$omega 1.52 1 0 0 < klist
echo $omega # optional, to follow progress
done
```
When this is done, we convert all the text output files into
numpy's binary format in order to speed up loading in the following steps.
This is done using the processWfiles_sortnames.py script located in the
`misc` directory. Its usage pattern is
```
processWfiles_sortnames.py npart dest src1 [src2 ...]
```
where `npart` is the number of particles in the unit cell, `dest`
is the destination path for the converted data (this will be
a directory), and the remaining arguments are paths to the
files generated by `ew_gen_kin`. In the case above, one could use
```
processWfiles_sortnames.py 1 all w_*
```
which would create a directory named `all` containing several
.npy files.
Steps 3, 4
----------
TODO. For the time being, see e.g. the `SaraRect/dispersions.ipynb` jupyter notebook
from the `qpms_ipynotebooks` repository
for the remaining steps.

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#!/usr/bin/env python
# coding: utf-8
from qpms import Particle, CTMatrix, BaseSpec, FinitePointGroup, ScatteringSystem, TMatrixInterpolator, eV, hbar, c, MaterialInterpolator, scatsystem_set_nthreads
from qpms.symmetries import point_group_info
import numpy as np
import os
import sys
from pathlib import Path
if 'SLURM_CPUS_PER_TASK' in os.environ:
scatsystem_set_nthreads(int(os.environ['SLURM_CPUS_PER_TASK']))
nm = 1e-9
rewrite_output = '--rewrite-output' in sys.argv
sym = FinitePointGroup(point_group_info['D2h'])
bspec = BaseSpec(lMax = 2)
tmfile = '/m/phys/project/qd/Marek/tmatrix-experiments/Cylinder/AaroBEC/cylinder_50nm_lMax4_longer.TMatrix'
#outputdatadir = '/home/necadam1/wrkdir/AaroBECfinite_new'
outputdatadir = '/u/46/necadam1/unix/project/AaroBECfinite_new'
os.makedirs(outputdatadir, exist_ok = True)
interp = TMatrixInterpolator(tmfile, bspec, symmetrise = sym, atol = 1e-8)
# There is only one t-matrix in the system for each frequency. We initialize the matrix with the lowest frequency data.
# Later, we can replace it using the tmatrix[...] = interp(freq) and s.update_tmatrices NOT YET; TODO
omega = float(sys.argv[3]) * eV/hbar
sv_threshold = float(sys.argv[4])
# Now place the particles and set background index.
px = 571*nm; py = 621*nm
n = 1.52
Nx = int(sys.argv[1])
Ny = int(sys.argv[2])
orig_x = (np.arange(Nx/2) + (0 if (Nx % 2) else .5)) * px
orig_y = (np.arange(Ny/2) + (0 if (Ny % 2) else .5)) * py
orig_xy = np.stack(np.meshgrid(orig_x, orig_y), axis = -1)
tmatrix = interp(omega)
#print(tmatrix.m)
particles = [Particle(orig_xy[i], tmatrix) for i in np.ndindex(orig_xy.shape[:-1])]
ss = ScatteringSystem(particles, sym)
k = n * omega / c
for iri in range(ss.nirreps):
destpath = os.path.join(outputdatadir, 'Nx%d_Ny%d_%geV_ir%d.npz'%(Nx, Ny, omega/eV*hbar, iri,))
touchpath = os.path.join(outputdatadir, 'Nx%d_Ny%d_%geV_ir%d.done'%(Nx, Ny, omega/eV*hbar, iri,))
if (os.path.isfile(destpath) or os.path.isfile(touchpath)) and not rewrite_output:
print(destpath, 'already exists, skipping')
continue
mm_iri = ss.modeproblem_matrix_packed(k, iri)
#print(mm_iri)
U, S, Vh = np.linalg.svd(mm_iri)
del U
print(iri, ss.irrep_names[iri], S[-1])
starti = max(0,len(S) - np.searchsorted(S[::-1], sv_threshold, side='left')-1)
np.savez(destpath,
S=S[starti:], omega=omega, Vh = Vh[starti:], iri=iri, Nx = Nx, Ny= Ny )
del S
del Vh
Path(touchpath).touch()
# Don't forget to conjugate Vh before transforming it to the full vector!

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#!/usr/bin/env python3
# coding: utf-8
from qpms import Particle, CTMatrix, BaseSpec, FinitePointGroup, ScatteringSystem, TMatrixInterpolator, eV, hbar, c, MaterialInterpolator, scatsystem_set_nthreads
from qpms.symmetries import point_group_info
from pathlib import Path
import numpy as np
import os
import sys
nm = 1e-9
if 'SLURM_CPUS_PER_TASK' in os.environ:
scatsystem_set_nthreads(int(os.environ['SLURM_CPUS_PER_TASK']))
rewrite_output = '--rewrite-output' in sys.argv
cyr_part_height = 50*nm
cyr_part_radius = 50*nm
cyr_part_volume = cyr_part_height * np.pi * cyr_part_radius**2
eqv_sph_radius = (3/4/np.pi*cyr_part_volume)**(1/3)
sym = FinitePointGroup(point_group_info['D2h'])
bspec = BaseSpec(lMax = 2)
#tmfile = '/m/phys/project/qd/Marek/tmatrix-experiments/Cylinder/AaroBEC/cylinder_50nm_lMax4_cleaned.TMatrix'
materialfile = '/home/necadam1/wrkdir/repo/refractiveindex.info-database/database/data/main/Au/Johnson.yml'
#outputdatadir = '/home/necadam1/wrkdir/AaroBECfinite_new'
#outputdatadir = '/u/46/necadam1/unix/project/AaroBECfinite_sph'
outputdatadir = '/home/necadam1/wrkdir/AaroBECfinite_sph'
os.makedirs(outputdatadir, exist_ok = True)
mi = MaterialInterpolator(materialfile)
#interp = TMatrixInterpolator(tmfile, bspec, symmetrise = sym, atol = 1e-8)
# There is only one t-matrix in the system for each frequency. We initialize the matrix with the lowest frequency data.
# Later, we can replace it using the tmatrix[...] = interp(freq) and s.update_tmatrices NOT YET; TODO
omega = float(sys.argv[3]) * eV/hbar
sv_threshold = float(sys.argv[4])
# Now place the particles and set background index.
px = 571*nm; py = 621*nm
n = 1.52
Nx = int(sys.argv[1])
Ny = int(sys.argv[2])
orig_x = (np.arange(Nx/2) + (0 if (Nx % 2) else .5)) * px
orig_y = (np.arange(Ny/2) + (0 if (Ny % 2) else .5)) * py
orig_xy = np.stack(np.meshgrid(orig_x, orig_y), axis = -1)
#tmatrix = interp(omega)
tmatrix = CTMatrix.spherical_perm(bspec, eqv_sph_radius, omega, mi(omega), n**2)
particles = [Particle(orig_xy[i], tmatrix) for i in np.ndindex(orig_xy.shape[:-1])]
ss = ScatteringSystem(particles, sym)
k = n * omega / c
for iri in range(ss.nirreps):
destpath = os.path.join(outputdatadir, 'Nx%d_Ny%d_%geV_ir%d.npz'%(Nx, Ny, omega/eV*hbar, iri))
touchpath = os.path.join(outputdatadir, 'Nx%d_Ny%d_%geV_ir%d.done'%(Nx, Ny, omega/eV*hbar, iri))
if (os.path.isfile(destpath) or os.path.isfile(touchpath)) and not rewrite_output:
print(destpath, 'already exists, skipping')
continue
mm_iri = ss.modeproblem_matrix_packed(k, iri)
U, S, Vh = np.linalg.svd(mm_iri)
del U
print(iri, ss.irrep_names[iri], S[-1])
starti = max(0,len(S) - np.searchsorted(S[::-1], sv_threshold, side='left')-1)
np.savez(destpath,
S=S[starti:], omega=omega, Vh = Vh[starti:], iri=iri, Nx = Nx, Ny= Ny )
del S
del Vh
Path(touchpath).touch()
# Don't forget to conjugate Vh before transforming it to the full vector!

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#!/usr/bin/env python3
# coding: utf-8
from qpms import Particle, CTMatrix, BaseSpec, FinitePointGroup, ScatteringSystem, TMatrixInterpolator, eV, hbar, c, MaterialInterpolator, scatsystem_set_nthreads
from qpms.symmetries import point_group_info
import numpy as np
import os
import sys
from pathlib import Path
if 'SLURM_CPUS_PER_TASK' in os.environ:
scatsystem_set_nthreads(int(os.environ['SLURM_CPUS_PER_TASK']))
nm = 1e-9
rewrite_output = '--rewrite-output' in sys.argv
radiusfactor = float(sys.argv[5])
cyr_part_height = 50*nm
cyr_part_radius = 50*nm
cyr_part_volume = cyr_part_height * np.pi * cyr_part_radius**2
eqv_sph_radius = (3/4/np.pi*cyr_part_volume)**(1/3) * radiusfactor
sym = FinitePointGroup(point_group_info['D2h'])
bspec = BaseSpec(lMax = 2)
#tmfile = '/m/phys/project/qd/Marek/tmatrix-experiments/Cylinder/AaroBEC/cylinder_50nm_lMax4_cleaned.TMatrix'
materialfile = '/home/necadam1/wrkdir/repo/refractiveindex.info-database/database/data/main/Au/Johnson.yml'
#outputdatadir = '/home/necadam1/wrkdir/AaroBECfinite_new'
#outputdatadir = '/u/46/necadam1/unix/project/AaroBECfinite_sph'
outputdatadir = '/home/necadam1/wrkdir/AaroBECfinite_fatsph'
os.makedirs(outputdatadir, exist_ok = True)
mi = MaterialInterpolator(materialfile)
#interp = TMatrixInterpolator(tmfile, bspec, symmetrise = sym, atol = 1e-8)
# There is only one t-matrix in the system for each frequency. We initialize the matrix with the lowest frequency data.
# Later, we can replace it using the tmatrix[...] = interp(freq) and s.update_tmatrices NOT YET; TODO
omega = float(sys.argv[3]) * eV/hbar
sv_threshold = float(sys.argv[4])
# Now place the particles and set background index.
px = 571*nm; py = 621*nm
n = 1.52
Nx = int(sys.argv[1])
Ny = int(sys.argv[2])
orig_x = (np.arange(Nx/2) + (0 if (Nx % 2) else .5)) * px
orig_y = (np.arange(Ny/2) + (0 if (Ny % 2) else .5)) * py
orig_xy = np.stack(np.meshgrid(orig_x, orig_y), axis = -1)
#tmatrix = interp(omega)
tmatrix = CTMatrix.spherical_perm(bspec, eqv_sph_radius, omega, mi(omega), n**2)
particles = [Particle(orig_xy[i], tmatrix) for i in np.ndindex(orig_xy.shape[:-1])]
ss = ScatteringSystem(particles, sym)
k = n * omega / c
for iri in range(ss.nirreps):
destpath = os.path.join(outputdatadir, 'Nx%d_Ny%d_%geV_ir%d_r%gnm.npz'%(Nx, Ny, omega/eV*hbar, iri, eqv_sph_radius/nm))
touchpath = os.path.join(outputdatadir, 'Nx%d_Ny%d_%geV_ir%d_r%gnm.done'%(Nx, Ny, omega/eV*hbar, iri, eqv_sph_radius/nm))
if (os.path.isfile(destpath) or os.path.isfile(touchpath)) and not rewrite_output:
print(destpath, 'already exists, skipping')
continue
mm_iri = ss.modeproblem_matrix_packed(k, iri)
U, S, Vh = np.linalg.svd(mm_iri)
del U
print(iri, ss.irrep_names[iri], S[-1])
starti = max(0,len(S) - np.searchsorted(S[::-1], sv_threshold, side='left')-1)
np.savez(destpath,
S=S[starti:], omega=omega, Vh = Vh[starti:], iri=iri, Nx = Nx, Ny= Ny )
del S
del Vh
Path(touchpath).touch()
# Don't forget to conjugate Vh before transforming it to the full vector!

547
misc/dispersion-SVD.py Executable file
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#!/usr/bin/env python3
import argparse, re, random, string
import subprocess
from scipy.constants import hbar, e as eV, pi, c
def make_action_sharedlist(opname, listname):
class opAction(argparse.Action):
def __call__(self, parser, args, values, option_string=None):
if (not hasattr(args, listname)) or getattr(args, listname) is None:
setattr(args, listname, list())
getattr(args,listname).append((opname, values))
return opAction
parser = argparse.ArgumentParser()
#TODO? použít type=argparse.FileType('r') ?
parser.add_argument('--TMatrix', action='store', required=True, help='Path to TMatrix file')
parser.add_argument('--griddir', action='store', required=True, help='Path to the directory with precalculated translation operators')
#sizepar = parser.add_mutually_exclusive_group(required=True)
parser.add_argument('--hexside', action='store', type=float, required=True, help='Lattice hexagon size length')
parser.add_argument('--output', action='store', help='Path to output PDF')
parser.add_argument('--store_SVD', action='store_true', help='If specified without --SVD_output, it will save the data in a file named as the PDF output, but with .npz extension instead')
#parser.add_argument('--SVD_output', action='store', help='Path to output singular value decomposition result')
parser.add_argument('--nSV', action='store', metavar='N', type=int, default=1, help='Store and draw N minimun singular values')
parser.add_argument('--scp_to', action='store', metavar='N', type=str, help='SCP the output files to a given destination')
parser.add_argument('--background_permittivity', action='store', type=float, default=1., help='Background medium relative permittivity (default 1)')
parser.add_argument('--sparse', action='store', type=int, help='Skip frequencies for preview')
parser.add_argument('--eVmax', action='store', type=float, help='Skip frequencies above this value')
parser.add_argument('--eVmin', action='store', type=float, help='Skip frequencies below this value')
parser.add_argument('--kdensity', action='store', type=int, default=66, help='Number of k-points per x-axis segment')
parser.add_argument('--lMax', action='store', type=int, help='Override lMax from the TMatrix file')
#TODO some more sophisticated x axis definitions
parser.add_argument('--gaussian', action='store', type=float, metavar='σ', help='Use a gaussian envelope for weighting the interaction matrix contributions (depending on the distance), measured in unit cell lengths (?) FIxME).')
popgrp=parser.add_argument_group(title='Operations')
popgrp.add_argument('--tr', dest='ops', action=make_action_sharedlist('tr', 'ops'), default=list()) # the default value for dest can be set once
popgrp.add_argument('--tr0', dest='ops', action=make_action_sharedlist('tr0', 'ops'))
popgrp.add_argument('--tr1', dest='ops', action=make_action_sharedlist('tr1', 'ops'))
popgrp.add_argument('--sym', dest='ops', action=make_action_sharedlist('sym', 'ops'))
popgrp.add_argument('--sym0', dest='ops', action=make_action_sharedlist('sym0', 'ops'))
popgrp.add_argument('--sym1', dest='ops', action=make_action_sharedlist('sym1', 'ops'))
#popgrp.add_argument('--mult', dest='ops', nargs=3, metavar=('INCSPEC', 'SCATSPEC', 'MULTIPLIER'), action=make_action_sharedlist('mult', 'ops'))
#popgrp.add_argument('--mult0', dest='ops', nargs=3, metavar=('INCSPEC', 'SCATSPEC', 'MULTIPLIER'), action=make_action_sharedlist('mult0', 'ops'))
#popgrp.add_argument('--mult1', dest='ops', nargs=3, metavar=('INCSPEC', 'SCATSPEC', 'MULTIPLIER'), action=make_action_sharedlist('mult1', 'ops'))
popgrp.add_argument('--multl', dest='ops', nargs=3, metavar=('INCL[,INCL,...]', 'SCATL[,SCATL,...]', 'MULTIPLIER'), action=make_action_sharedlist('multl', 'ops'))
popgrp.add_argument('--multl0', dest='ops', nargs=3, metavar=('INCL[,INCL,...]', 'SCATL[,SCATL,...]', 'MULTIPLIER'), action=make_action_sharedlist('multl0', 'ops'))
popgrp.add_argument('--multl1', dest='ops', nargs=3, metavar=('INCL[,INCL,...]', 'SCATL[,SCATL,...]', 'MULTIPLIER'), action=make_action_sharedlist('multl1', 'ops'))
parser.add_argument('--frequency_multiplier', action='store', type=float, default=1., help='Multiplies the frequencies in the TMatrix file by a given factor.')
# TODO enable more flexible per-sublattice specification
pargs=parser.parse_args()
print(pargs)
translations_dir = pargs.griddir
TMatrix_file = pargs.TMatrix
pdfout = pargs.output if pargs.output else (''.join(random.choice(string.ascii_uppercase + string.digits) for _ in range(10)) + '.pdf')
print(pdfout)
if(pargs.store_SVD):
if re.search('.pdf$', pdfout):
svdout = re.sub('.pdf$', r'.npz', pdfout)
else:
svdout = pdfout + '.npz'
else:
svdout = None
hexside = pargs.hexside #375e-9
epsilon_b = pargs.background_permittivity #2.3104
gaussianSigma = pargs.gaussian if pargs.gaussian else None # hexside * 222 / 7
interpfreqfactor = pargs.frequency_multiplier
scp_dest = pargs.scp_to if pargs.scp_to else None
kdensity = pargs.kdensity
minfreq = pargs.eVmin*eV/hbar if pargs.eVmin else None
maxfreq = pargs.eVmax*eV/hbar if pargs.eVmax else None
skipfreq = pargs.sparse if pargs.sparse else None
svn = pargs.nSV
# TODO multiplier operation definitions and parsing
#factor13inc = 10
#factor13scat=10
ops = list()
opre = re.compile('(tr|sym|copy|multl|mult)(\d*)')
for oparg in pargs.ops:
opm = opre.match(oparg[0])
if opm:
ops.append(((opm.group(2),) if opm.group(2) else (0,1), opm.group(1), oparg[1]))
else:
raise # should not happen
print(ops)
#ops = (
# # co, typ operace (symetrizace / transformace / kopie), specifikace (operace nebo zdroj),
# # co: 0, 1, (0,1), (0,), (1,), #NI: 'all'
# # typ operace: sym, tr, copy
# # specifikace:
# # sym, tr: 'σ_z', 'σ_y', 'C2'; sym: 'C3',
# # copy: 0, 1 (zdroj)
# ((0,1), 'sym', 'σ_z'),
# #((0,1), 'sym', 'σ_x'),
# #((0,1), 'sym', 'σ_y'),
# ((0,1), 'sym', 'C3'),
# ((1), 'tr', 'C2'),
#
#)
# -----------------finished basic CLI parsing (except for op arguments) ------------------
import time
begtime=time.time()
from matplotlib.path import Path
import matplotlib.patches as patches
import matplotlib.pyplot as plt
import qpms
import numpy as np
import os, sys, warnings, math
from matplotlib import pyplot as plt
from matplotlib.backends.backend_pdf import PdfPages
from scipy import interpolate
nx = None
s3 = math.sqrt(3)
pdf = PdfPages(pdfout)
# In[3]:
# specifikace T-matice zde
cdn = c/ math.sqrt(epsilon_b)
TMatrices_orig, freqs_orig, freqs_weirdunits_orig, lMaxTM = qpms.loadScuffTMatrices(TMatrix_file)
if pargs.lMax:
lMax = pargs.lMax if pargs.lMax else lMaxTM
my, ny = qpms.get_mn_y(lMax)
nelem = len(my)
if pargs.lMax: #force commandline specified lMax
TMatrices_orig = TMatrices_orig[...,0:nelem,:,0:nelem]
ž = np.arange(2*nelem)
= ž // nelem
= my[ž%nelem]
= ny[ž%nelem]
TEž = ž[(++) % 2 == 0]
TMž = ž[(++) % 2 == 1]
č = np.arange(2*2*nelem)
žč = č % (2* nelem)
= [žč]
= [žč]
= [žč]
TEč = č[(++) % 2 == 0]
TMč = č[(++) % 2 == 1]
TMatrices = np.array(np.broadcast_to(TMatrices_orig[:,nx,:,:,:,:],(len(freqs_orig),2,2,nelem,2,nelem)) )
#TMatrices[:,:,:,:,:,ny==3] *= factor13inc
#TMatrices[:,:,:,ny==3,:,:] *= factor13scat
xfl = qpms.xflip_tyty(lMax)
yfl = qpms.yflip_tyty(lMax)
zfl = qpms.zflip_tyty(lMax)
c2rot = qpms.apply_matrix_left(qpms.yflip_yy(3),qpms.xflip_yy(3),-1)
reCN = re.compile('(\d*)C(\d+)')
#TODO C nekonečno
for op in ops:
if op[0] == 'all':
targets = (0,1)
elif isinstance(op[0],int):
targets = (op[0],)
else:
targets = op[0]
if op[1] == 'sym':
mCN = reCN.match(op[2]) # Fuck van Rossum for not having assignments inside expressions
if op[2] == 'σ_z':
for t in targets:
TMatrices[:,t] = (TMatrices[:,t] + qpms.apply_ndmatrix_left(zfl,qpms.apply_ndmatrix_left(zfl, TMatrices[:,t], (-4,-3)),(-2,-1)))/2
elif op[2] == 'σ_y':
for t in targets:
TMatrices[:,t] = (TMatrices[:,t] + qpms.apply_ndmatrix_left(yfl,qpms.apply_ndmatrix_left(yfl, TMatrices[:,t], (-4,-3)),(-2,-1)))/2
elif op[2] == 'σ_x':
for t in targets:
TMatrices[:,t] = (TMatrices[:,t] + qpms.apply_ndmatrix_left(xfl,qpms.apply_ndmatrix_left(xfl, TMatrices[:,t], (-4,-3)),(-2,-1)))/2
elif op[2] == 'C2': # special case of the latter
for t in targets:
TMatrices[:,t] = (TMatrices[:,t] + qpms.apply_matrix_left(c2rot,qpms.apply_matrix_left(c2rot, TMatrices[:,t], -3),-1))/2
elif mCN:
rotN = int(mCN.group(2))
TMatrix_contribs = np.empty((rotN,TMatrices.shape[0],2,nelem,2,nelem), dtype=np.complex_)
for t in targets:
for i in range(rotN):
rotangle = 2*np.pi*i / rotN
rot = qpms.WignerD_yy_fromvector(lMax,np.array([0,0,rotangle]))
rotinv = qpms.WignerD_yy_fromvector(lMax,np.array([0,0,-rotangle]))
TMatrix_contribs[i] = qpms.apply_matrix_left(rot,qpms.apply_matrix_left(rotinv, TMatrices[:,t], -3),-1)
TMatrices[:,t] = np.sum(TMatrix_contribs, axis=0) / rotN
else:
raise
elif op[1] == 'tr':
mCN = reCN.match(op[2]) # Fuck van Rossum for not having assignments inside expressions
if op[2] == 'σ_z':
for t in targets:
TMatrices[:,t] = qpms.apply_ndmatrix_left(zfl,qpms.apply_ndmatrix_left(zfl, TMatrices[:,t], (-4,-3)),(-2,-1))
elif op[2] == 'σ_y':
for t in targets:
TMatrices[:,t] = qpms.apply_ndmatrix_left(yfl,qpms.apply_ndmatrix_left(yfl, TMatrices[:,t], (-4,-3)),(-2,-1))
elif op[2] == 'σ_x':
for t in targets:
TMatrices[:,t] = qpms.apply_ndmatrix_left(xfl,qpms.apply_ndmatrix_left(xfl, TMatrices[:,t], (-4,-3)),(-2,-1))
elif op[2] == 'C2':
for t in targets:
TMatrices[:,t] = qpms.apply_matrix_left(c2rot,qpms.apply_matrix_left(c2rot, TMatrices[:,t], -3),-1)
elif mCN:
rotN = int(mCN.group(2))
power = int(mCN.group(1)) if mCN.group(1) else 1
TMatrix_contribs = np.empty((rotN,TMatrices.shape[0],2,nelem,2,nelem), dtype=np.complex_)
for t in targets:
rotangle = 2*np.pi*power/rotN
rot = qpms.WignerD_yy_fromvector(lMax, np.array([0,0,rotangle]))
rotinv = qpms.WignerD_yy_fromvector(lMax, np.array([0,0,-rotangle]))
TMatrices[:,t] = qpms.apply_matrix_left(rot, qpms.apply_matrix_left(rotinv, TMatrices[:,t], -3),-1)
else:
raise
elif op[1] == 'copy':
raise # not implemented
elif op[1] == 'mult':
raise # not implemented
elif op[1] == 'multl':
incy = np.full((nelem,), False, dtype=bool)
for incl in op[2][0].split(','):
l = int(incl)
incy += (l == ny)
scaty = np.full((nelem,), False, dtype=bool)
for scatl in op[2][1].split(','):
l = int(scatl)
scaty += (l == ny)
for t in targets:
TMatrices[np.ix_(np.arange(TMatrices.shape[0]),np.array([t]),np.array([0,1]),scaty,np.array([0,1]),incy)] *= float(op[2][2])
else:
raise #unknown operation; should not happen
TMatrices_interp = interpolate.interp1d(freqs_orig*interpfreqfactor, TMatrices, axis=0, kind='linear',fill_value="extrapolate")
# In[4]:
om = np.linspace(np.min(freqs_orig), np.max(freqs_orig),100)
TMatrix0ip = np.reshape(TMatrices_interp(om)[:,0], (len(om), 2*nelem*2*nelem))
f, axa = plt.subplots(2, 2, figsize=(15,15))
#print(TMatrices.shape)
#plt.plot(om, TMatrices[:,0,0,0,0].imag,'r',om, TMatrices[:,0,0,0,0].real,'r--',om, TMatrices[:,0,2,0,2].imag,'b',om, TMatrices[:,0,2,0,2].real,'b--'))
ax = axa[0,0]
ax2 = ax.twiny()
ax2.set_xlim([ax.get_xlim()[0]/eV*hbar,ax.get_xlim()[1]/eV*hbar])
ax.plot(
om, TMatrix0ip[:,:].imag,'-',om, TMatrix0ip[:,:].real,'--',
)
ax = axa[0,1]
ax2 = ax.twiny()
ax2.set_xlim([ax.get_xlim()[0]/eV*hbar,ax.get_xlim()[1]/eV*hbar])
ax.plot(
om, abs(TMatrix0ip[:,:]),'-'
)
ax.set_yscale('log')
ax = axa[1,1]
ax2 = ax.twiny()
ax2.set_xlim([ax.get_xlim()[0]/eV*hbar,ax.get_xlim()[1]/eV*hbar])
ax.plot(
om, np.unwrap(np.angle(TMatrix0ip[:,:]),axis=0),'-'
)
ax = axa[1,0]
ax.text(0.5,0.5,str(pargs).replace(',',',\n'),horizontalalignment='center',verticalalignment='center',transform=ax.transAxes)
pdf.savefig(f)
# In[ ]:
#kdensity = 66 #defined from cl arguments
bz_0 = np.array((0,0,0.,))
bz_K1 = np.array((1.,0,0))*4*np.pi/3/hexside/s3
bz_K2 = np.array((1./2.,s3/2,0))*4*np.pi/3/hexside/s3
bz_M = np.array((3./4, s3/4,0))*4*np.pi/3/hexside/s3
k0Mlist = bz_0 + (bz_M-bz_0) * np.linspace(0,1,kdensity)[:,nx]
kMK1list = bz_M + (bz_K1-bz_M) * np.linspace(0,1,kdensity)[:,nx]
kK10list = bz_K1 + (bz_0-bz_K1) * np.linspace(0,1,kdensity)[:,nx]
k0K2list = bz_0 + (bz_K2-bz_0) * np.linspace(0,1,kdensity)[:,nx]
kK2Mlist = bz_K2 + (bz_M-bz_K2) * np.linspace(0,1,kdensity)[:,nx]
B1 = 2* bz_K1 - bz_K2
B2 = 2* bz_K2 - bz_K1
klist = np.concatenate((k0Mlist,kMK1list,kK10list,k0K2list,kK2Mlist), axis=0)
kxmaplist = np.concatenate((np.array([0]),np.cumsum(np.linalg.norm(np.diff(klist, axis=0), axis=-1))))
# In[ ]:
n2id = np.identity(2*nelem)
n2id.shape = (2,nelem,2,nelem)
extlistlist = list()
leftmatrixlistlist = list()
minsvTElistlist=list()
minsvTMlistlist=list()
if svdout:
svUfullTElistlist = list()
svVfullTElistlist = list()
svSfullTElistlist = list()
svUfullTMlistlist = list()
svVfullTMlistlist = list()
svSfullTMlistlist = list()
nan = float('nan')
omegalist = list()
filecount = 0
for trfile in os.scandir(translations_dir):
filecount += 1
if (skipfreq and filecount % skipfreq):
continue
try:
npz = np.load(trfile.path, mmap_mode='r')
k_0 = npz['precalc_params'][()]['k_hexside'] / hexside
omega = k_0 * c / math.sqrt(epsilon_b)
if((minfreq and omega < minfreq) or (maxfreq and omega > maxfreq)):
continue
except:
print ("Unexpected error, trying to continue with another file:", sys.exc_info()[0])
continue
try:
tdic = qpms.hexlattice_precalc_AB_loadunwrap(trfile.path, return_points=True)
except:
print ("Unexpected error, trying to continue with another file:", sys.exc_info()[0])
continue
k_0 = tdic['k_hexside'] / hexside
omega = k_0 * c / math.sqrt(epsilon_b)
omegalist.append(omega)
print(filecount, omega/eV*hbar)
sys.stdout.flush()
a_self = tdic['a_self'][:,:nelem,:nelem]
b_self = tdic['b_self'][:,:nelem,:nelem]
a_u2d = tdic['a_u2d'][:,:nelem,:nelem]
b_u2d = tdic['b_u2d'][:,:nelem,:nelem]
a_d2u = tdic['a_d2u'][:,:nelem,:nelem]
b_d2u = tdic['b_d2u'][:,:nelem,:nelem]
unitcell_translations = tdic['self_tr']*hexside*s3
u2d_translations = tdic['u2d_tr']*hexside*s3
d2u_translations = tdic['d2u_tr']*hexside*s3
if gaussianSigma:
unitcell_envelope = np.exp(-np.sum(tdic['self_tr']**2,axis=-1)/(2*gaussianSigma**2))
u2d_envelope = np.exp(-np.sum(tdic['u2d_tr']**2,axis=-1)/(2*gaussianSigma**2))
d2u_envelope = np.exp(-np.sum(tdic['d2u_tr']**2,axis=-1)/(2*gaussianSigma**2))
TMatrices_om = TMatrices_interp(omega)
if svdout:
svUfullTElist = np.full((klist.shape[0], 2*nelem, 2*nelem), np.nan, dtype=complex)
svVfullTElist = np.full((klist.shape[0], 2*nelem, 2*nelem), np.nan, dtype=complex)
svSfullTElist = np.full((klist.shape[0], 2*nelem), np.nan, dtype=complex)
svUfullTMlist = np.full((klist.shape[0], 2*nelem, 2*nelem), np.nan, dtype=complex)
svVfullTMlist = np.full((klist.shape[0], 2*nelem, 2*nelem), np.nan, dtype=complex)
svSfullTMlist = np.full((klist.shape[0], 2*nelem), np.nan, dtype=complex)
minsvTElist = np.full((klist.shape[0], svn),np.nan)
minsvTMlist = np.full((klist.shape[0], svn),np.nan)
leftmatrixlist = np.full((klist.shape[0],2,2,nelem,2,2,nelem),np.nan,dtype=complex)
isNaNlist = np.zeros((klist.shape[0]), dtype=bool)
# sem nějaká rozumná smyčka
for ki in range(klist.shape[0]):
k = klist[ki]
if (k_0*k_0 - k[0]*k[0] - k[1]*k[1] < 0):
isNaNlist[ki] = True
continue
phases_self = np.exp(1j*np.tensordot(k,unitcell_translations,axes=(0,-1)))
phases_u2d = np.exp(1j*np.tensordot(k,u2d_translations,axes=(0,-1)))
phases_d2u = np.exp(1j*np.tensordot(k,d2u_translations,axes=(0,-1)))
if gaussianSigma:
phases_self *= unitcell_envelope
phases_u2d *= u2d_envelope
phases_d2u *= d2u_envelope
leftmatrix = np.zeros((2,2,nelem, 2,2,nelem), dtype=complex)
leftmatrix[0,0,:,0,0,:] = np.tensordot(a_self,phases_self, axes=(0,-1)) # u2u, E2E
leftmatrix[1,0,:,1,0,:] = leftmatrix[0,0,:,0,0,:] # d2d, E2E
leftmatrix[0,1,:,0,1,:] = leftmatrix[0,0,:,0,0,:] # u2u, M2M
leftmatrix[1,1,:,1,1,:] = leftmatrix[0,0,:,0,0,:] # d2d, M2M
leftmatrix[0,0,:,0,1,:] = np.tensordot(b_self,phases_self, axes=(0,-1)) # u2u, M2E
leftmatrix[0,1,:,0,0,:] = leftmatrix[0,0,:,0,1,:] # u2u, E2M
leftmatrix[1,1,:,1,0,:] = leftmatrix[0,0,:,0,1,:] # d2d, E2M
leftmatrix[1,0,:,1,1,:] = leftmatrix[0,0,:,0,1,:] # d2d, M2E
leftmatrix[0,0,:,1,0,:] = np.tensordot(a_d2u, phases_d2u,axes=(0,-1)) #d2u,E2E
leftmatrix[0,1,:,1,1,:] = leftmatrix[0,0,:,1,0,:] #d2u, M2M
leftmatrix[1,0,:,0,0,:] = np.tensordot(a_u2d, phases_u2d,axes=(0,-1)) #u2d,E2E
leftmatrix[1,1,:,0,1,:] = leftmatrix[1,0,:,0,0,:] #u2d, M2M
leftmatrix[0,0,:,1,1,:] = np.tensordot(b_d2u, phases_d2u,axes=(0,-1)) #d2u,M2E
leftmatrix[0,1,:,1,0,:] = leftmatrix[0,0,:,1,1,:] #d2u, E2M
leftmatrix[1,0,:,0,1,:] = np.tensordot(b_u2d, phases_u2d,axes=(0,-1)) #u2d,M2E
leftmatrix[1,1,:,0,0,:] = leftmatrix[1,0,:,0,1,:] #u2d, E2M
#leftmatrix is now the translation matrix T
for j in range(2):
leftmatrix[j] = -np.tensordot(TMatrices_om[j], leftmatrix[j], axes=([-2,-1],[0,1]))
# at this point, jth row of leftmatrix is that of -MT
leftmatrix[j,:,:,j,:,:] += n2id
#now we are done, 1-MT
leftmatrixlist[ki] = leftmatrix
nnlist = np.logical_not(isNaNlist)
leftmatrixlist_s = np.reshape(leftmatrixlist,(klist.shape[0], 2*2*nelem,2*2*nelem))[nnlist]
leftmatrixlist_TE = leftmatrixlist_s[np.ix_(np.arange(leftmatrixlist_s.shape[0]),TEč,TEč)]
leftmatrixlist_TM = leftmatrixlist_s[np.ix_(np.arange(leftmatrixlist_s.shape[0]),TMč,TMč)]
#svarr = np.linalg.svd(leftmatrixlist_TE, compute_uv=False)
#argsortlist = np.argsort(svarr, axis=-1)[...,:svn]
#minsvTElist[nnlist] = svarr[...,argsortlist]
#minsvTElist[nnlist] = np.amin(np.linalg.svd(leftmatrixlist_TE, compute_uv=False), axis=-1)
if svdout:
svUfullTElist[nnlist], svSfullTElist[nnlist], svVfullTElist[nnlist] = np.linalg.svd(leftmatrixlist_TE, compute_uv=True)
svUfullTMlist[nnlist], svSfullTMlist[nnlist], svVfullTMlist[nnlist] = np.linalg.svd(leftmatrixlist_TM, compute_uv=True)
svUfullTElistlist.append(svUfullTElist)
svVfullTElistlist.append(svVfullTElist)
svSfullTElistlist.append(svSfullTElist)
svUfullTMlistlist.append(svUfullTMlist)
svVfullTMlistlist.append(svVfullTMlist)
svSfullTMlistlist.append(svSfullTMlist)
minsvTElist[nnlist] = np.linalg.svd(leftmatrixlist_TE, compute_uv=False)[...,-svn:]
#svarr = np.linalg.svd(leftmatrixlist_TM, compute_uv=False)
#argsortlist = np.argsort(svarr, axis=-1)[...,:svn]
#minsvTMlist[nnlist] = svarr[...,argsortlist]
#minsvTMlist[nnlist] = np.amin(np.linalg.svd(leftmatrixlist_TM, compute_uv=False), axis=-1)
minsvTMlist[nnlist] = np.linalg.svd(leftmatrixlist_TM, compute_uv=False)[...,-svn:]
minsvTMlistlist.append(minsvTMlist)
minsvTElistlist.append(minsvTElist)
minsvTElistarr = np.array(minsvTElistlist)
minsvTMlistarr = np.array(minsvTMlistlist)
del minsvTElistlist, minsvTMlistlist
if svdout:
svUfullTElistarr = np.array(svUfullTElistlist)
svVfullTElistarr = np.array(svVfullTElistlist)
svSfullTElistarr = np.array(svSfullTElistlist)
del svUfullTElistlist, svVfullTElistlist, svSfullTElistlist
svUfullTMlistarr = np.array(svUfullTMlistlist)
svVfullTMlistarr = np.array(svVfullTMlistlist)
svSfullTMlistarr = np.array(svSfullTMlistlist)
del svUfullTMlistlist, svVfullTMlistlist, svSfullTMlistlist
omegalist = np.array(omegalist)
# order to make the scatter plots "nice"
omegaorder = np.argsort(omegalist)
omegalist = omegalist[omegaorder]
minsvTElistarr = minsvTElistarr[omegaorder]
minsvTMlistarr = minsvTMlistarr[omegaorder]
if svdout:
svUfullTElistarr = svUfullTElistarr[omegaorder]
svVfullTElistarr = svVfullTElistarr[omegaorder]
svSfullTElistarr = svSfullTElistarr[omegaorder]
svUfullTMlistarr = svUfullTMlistarr[omegaorder]
svVfullTMlistarr = svVfullTMlistarr[omegaorder]
svSfullTMlistarr = svSfullTMlistarr[omegaorder]
np.savez(svdout, omega = omegalist, klist = klist, bzpoints = np.array([bz_0, bz_K1, bz_K2, bz_M, B1, B2]),
uTE = svUfullTElistarr,
vTE = svVfullTElistarr,
sTE = svSfullTElistarr,
uTM = svUfullTMlistarr,
vTM = svVfullTMlistarr,
sTM = svSfullTMlistarr,
)
omlist = np.broadcast_to(omegalist[:,nx], minsvTElistarr[...,0].shape)
kxmlarr = np.broadcast_to(kxmaplist[nx,:], minsvTElistarr[...,0].shape)
klist = np.concatenate((k0Mlist,kMK1list,kK10list,k0K2list,kK2Mlist), axis=0)
# In[ ]:
for minN in reversed(range(svn)):
f, ax = plt.subplots(1, figsize=(20,15))
sc = ax.scatter(kxmlarr, omlist/eV*hbar, c = np.sqrt(minsvTMlistarr[...,minN]), s =40, lw=0)
ax.plot(kxmaplist, np.linalg.norm(klist,axis=-1)*cdn/eV*hbar, '-',
kxmaplist, np.linalg.norm(klist+B1, axis=-1)*cdn/eV*hbar, '-',
kxmaplist, np.linalg.norm(klist+B2, axis=-1)*cdn/eV*hbar, '-',
kxmaplist, np.linalg.norm(klist-B2, axis=-1)*cdn/eV*hbar, '-',
kxmaplist, np.linalg.norm(klist-B1, axis=-1)*cdn/eV*hbar, '-',
kxmaplist, np.linalg.norm(klist+B2-B1, axis=-1)*cdn/eV*hbar, '-',
kxmaplist, np.linalg.norm(klist-B2+B1, axis=-1)*cdn/eV*hbar, '-',
kxmaplist, np.linalg.norm(klist-B2-B1, axis=-1)*cdn/eV*hbar, '-',
kxmaplist, np.linalg.norm(klist+B2+B1, axis=-1)*cdn/eV*hbar, '-',
kxmaplist, np.linalg.norm(klist-2*B1, axis=-1)*cdn/eV*hbar, '-',
kxmaplist, np.linalg.norm(klist-2*B2, axis=-1)*cdn/eV*hbar, '-',
kxmaplist, np.linalg.norm(klist-2*B2-B1, axis=-1)*cdn/eV*hbar, '-',
kxmaplist, np.linalg.norm(klist-2*B1-B2, axis=-1)*cdn/eV*hbar, '-',
kxmaplist, np.linalg.norm(klist-2*B1-2*B2, axis=-1)*cdn/eV*hbar, '-',
# kxmaplist, np.linalg.norm(klist+2*B2-B1, axis=-1)*cdn, '-',
# kxmaplist, np.linalg.norm(klist+2*B1-B2, axis=-1)*cdn, '-',
)
ax.set_xlim([np.min(kxmlarr),np.max(kxmlarr)])
#ax.set_ylim([2.15,2.30])
ax.set_ylim([np.min(omlist/eV*hbar),np.max(omlist/eV*hbar)])
ax.set_xticks([0, kxmaplist[len(k0Mlist)-1], kxmaplist[len(k0Mlist)+len(kMK1list)-1], kxmaplist[len(k0Mlist)+len(kMK1list)+len(kK10list)-1], kxmaplist[len(k0Mlist)+len(kMK1list)+len(kK10list)+len(k0K2list)-1], kxmaplist[len(k0Mlist)+len(kMK1list)+len(kK10list)+len(k0K2list)+len(kK2Mlist)-1]])
ax.set_xticklabels(['Γ', 'M', 'K', 'Γ', 'K\'','M'])
f.colorbar(sc)
pdf.savefig(f)
# In[ ]:
f, ax = plt.subplots(1, figsize=(20,15))
sc = ax.scatter(kxmlarr, omlist/eV*hbar, c = np.sqrt(minsvTElistarr[...,minN]), s =40, lw=0)
ax.plot(kxmaplist, np.linalg.norm(klist,axis=-1)*cdn/eV*hbar, '-',
kxmaplist, np.linalg.norm(klist+B1, axis=-1)*cdn/eV*hbar, '-',
kxmaplist, np.linalg.norm(klist+B2, axis=-1)*cdn/eV*hbar, '-',
kxmaplist, np.linalg.norm(klist-B2, axis=-1)*cdn/eV*hbar, '-',
kxmaplist, np.linalg.norm(klist-B1, axis=-1)*cdn/eV*hbar, '-',
kxmaplist, np.linalg.norm(klist+B2-B1, axis=-1)*cdn/eV*hbar, '-',
kxmaplist, np.linalg.norm(klist-B2+B1, axis=-1)*cdn/eV*hbar, '-',
kxmaplist, np.linalg.norm(klist-B2-B1, axis=-1)*cdn/eV*hbar, '-',
kxmaplist, np.linalg.norm(klist+B2+B1, axis=-1)*cdn/eV*hbar, '-',
kxmaplist, np.linalg.norm(klist-2*B1, axis=-1)*cdn/eV*hbar, '-',
kxmaplist, np.linalg.norm(klist-2*B2, axis=-1)*cdn/eV*hbar, '-',
kxmaplist, np.linalg.norm(klist-2*B2-B1, axis=-1)*cdn/eV*hbar, '-',
kxmaplist, np.linalg.norm(klist-2*B1-B2, axis=-1)*cdn/eV*hbar, '-',
kxmaplist, np.linalg.norm(klist-2*B1-2*B2, axis=-1)*cdn/eV*hbar, '-',
# kxmaplist, np.linalg.norm(klist+2*B2-B1, axis=-1)*cdn, '-',
# kxmaplist, np.linalg.norm(klist+2*B1-B2, axis=-1)*cdn, '-',
)
ax.set_xlim([np.min(kxmlarr),np.max(kxmlarr)])
#ax.set_ylim([2.15,2.30])
ax.set_ylim([np.min(omlist/eV*hbar),np.max(omlist/eV*hbar)])
ax.set_xticks([0, kxmaplist[len(k0Mlist)-1], kxmaplist[len(k0Mlist)+len(kMK1list)-1], kxmaplist[len(k0Mlist)+len(kMK1list)+len(kK10list)-1], kxmaplist[len(k0Mlist)+len(kMK1list)+len(kK10list)+len(k0K2list)-1], kxmaplist[len(k0Mlist)+len(kMK1list)+len(kK10list)+len(k0K2list)+len(kK2Mlist)-1]])
ax.set_xticklabels(['Γ', 'M', 'K', 'Γ', 'K\'','M'])
f.colorbar(sc)
pdf.savefig(f)
pdf.close()
if scp_dest:
subprocess.run(['scp', pdfout, scp_dest])
if svdout:
subprocess.run(['scp', svdout, scp_dest])
print(time.strftime("%H.%M:%S",time.gmtime(time.time()-begtime)))

403
misc/dispersion2D-SVD.py Executable file
View File

@ -0,0 +1,403 @@
#!/usr/bin/env python3
import argparse, re, random, string
import subprocess
from scipy.constants import hbar, e as eV, pi, c
def make_action_sharedlist(opname, listname):
class opAction(argparse.Action):
def __call__(self, parser, args, values, option_string=None):
if (not hasattr(args, listname)) or getattr(args, listname) is None:
setattr(args, listname, list())
getattr(args,listname).append((opname, values))
return opAction
parser = argparse.ArgumentParser()
#TODO? použít type=argparse.FileType('r') ?
parser.add_argument('--TMatrix', action='store', required=True, help='Path to TMatrix file')
#parser.add_argument('--griddir', action='store', required=True, help='Path to the directory with precalculated translation operators')
parser.add_argument('--output_prefix', action='store', required=True, help='Prefix to the pdf and/or npz output (will be appended frequency and hexside)')
#sizepar = parser.add_mutually_exclusive_group(required=True)
parser.add_argument('--hexside', action='store', type=float, required=True, help='Lattice hexagon size length')
parser.add_argument('--output', action='store', help='Path to output PDF')
parser.add_argument('--store_SVD', action='store_false', help='If specified without --SVD_output, it will save the data in a file named as the PDF output, but with .npz extension instead')
parser.add_argument('--plot_TMatrix', action='store_true', help='Visualise TMatrix on the first page of the output')
#parser.add_argument('--SVD_output', action='store', help='Path to output singular value decomposition result')
parser.add_argument('--nSV', action='store', metavar='N', type=int, default=1, help='Store and draw N minimun singular values')
parser.add_argument('--maxlayer', action='store', type=int, default=100, help='How far to sum the lattice points to obtain the dispersion')
parser.add_argument('--scp_to', action='store', metavar='N', type=str, help='SCP the output files to a given destination')
parser.add_argument('--background_permittivity', action='store', type=float, default=1., help='Background medium relative permittivity (default 1)')
parser.add_argument('--eVfreq', action='store', required=True, type=float, help='Frequency in eV')
parser.add_argument('--kdensity', action='store', type=int, default=33, help='Number of k-points per x-axis segment')
parser.add_argument('--lMax', action='store', type=int, help='Override lMax from the TMatrix file')
#TODO some more sophisticated x axis definitions
parser.add_argument('--gaussian', action='store', type=float, metavar='σ', help='Use a gaussian envelope for weighting the interaction matrix contributions (depending on the distance), measured in unit cell lengths (?) FIxME).')
popgrp=parser.add_argument_group(title='Operations')
popgrp.add_argument('--tr', dest='ops', action=make_action_sharedlist('tr', 'ops'), default=list()) # the default value for dest can be set once
popgrp.add_argument('--tr0', dest='ops', action=make_action_sharedlist('tr0', 'ops'))
popgrp.add_argument('--tr1', dest='ops', action=make_action_sharedlist('tr1', 'ops'))
popgrp.add_argument('--sym', dest='ops', action=make_action_sharedlist('sym', 'ops'))
popgrp.add_argument('--sym0', dest='ops', action=make_action_sharedlist('sym0', 'ops'))
popgrp.add_argument('--sym1', dest='ops', action=make_action_sharedlist('sym1', 'ops'))
#popgrp.add_argument('--mult', dest='ops', nargs=3, metavar=('INCSPEC', 'SCATSPEC', 'MULTIPLIER'), action=make_action_sharedlist('mult', 'ops'))
#popgrp.add_argument('--mult0', dest='ops', nargs=3, metavar=('INCSPEC', 'SCATSPEC', 'MULTIPLIER'), action=make_action_sharedlist('mult0', 'ops'))
#popgrp.add_argument('--mult1', dest='ops', nargs=3, metavar=('INCSPEC', 'SCATSPEC', 'MULTIPLIER'), action=make_action_sharedlist('mult1', 'ops'))
popgrp.add_argument('--multl', dest='ops', nargs=3, metavar=('INCL[,INCL,...]', 'SCATL[,SCATL,...]', 'MULTIPLIER'), action=make_action_sharedlist('multl', 'ops'))
popgrp.add_argument('--multl0', dest='ops', nargs=3, metavar=('INCL[,INCL,...]', 'SCATL[,SCATL,...]', 'MULTIPLIER'), action=make_action_sharedlist('multl0', 'ops'))
popgrp.add_argument('--multl1', dest='ops', nargs=3, metavar=('INCL[,INCL,...]', 'SCATL[,SCATL,...]', 'MULTIPLIER'), action=make_action_sharedlist('multl1', 'ops'))
parser.add_argument('--frequency_multiplier', action='store', type=float, default=1., help='Multiplies the frequencies in the TMatrix file by a given factor.')
# TODO enable more flexible per-sublattice specification
pargs=parser.parse_args()
print(pargs)
maxlayer=pargs.maxlayer
hexside=pargs.hexside
eVfreq = pargs.eVfreq
freq = eVfreq*eV/hbar
TMatrix_file = pargs.TMatrix
pdfout = pargs.output if pargs.output else (
'%s_%dnm_%.4f.pdf' % (pargs.output_prefix,hexside/1e-9,eVfreq) if pargs.output_prefix else
(''.join(random.choice(string.ascii_uppercase + string.digits) for _ in range(10)) + '.pdf'))
print(pdfout)
if(pargs.store_SVD):
if re.search('.pdf$', pdfout):
svdout = re.sub('.pdf$', r'.npz', pdfout)
else:
svdout = pdfout + '.npz'
else:
svdout = None
epsilon_b = pargs.background_permittivity #2.3104
gaussianSigma = pargs.gaussian if pargs.gaussian else None # hexside * 222 / 7
interpfreqfactor = pargs.frequency_multiplier
scp_dest = pargs.scp_to if pargs.scp_to else None
kdensity = pargs.kdensity
svn = pargs.nSV
# TODO multiplier operation definitions and parsing
#factor13inc = 10
#factor13scat=10
ops = list()
opre = re.compile('(tr|sym|copy|multl|mult)(\d*)')
for oparg in pargs.ops:
opm = opre.match(oparg[0])
if opm:
ops.append(((opm.group(2),) if opm.group(2) else (0,1), opm.group(1), oparg[1]))
else:
raise # should not happen
print(ops)
#ops = (
# # co, typ operace (symetrizace / transformace / kopie), specifikace (operace nebo zdroj),
# # co: 0, 1, (0,1), (0,), (1,), #NI: 'all'
# # typ operace: sym, tr, copy
# # specifikace:
# # sym, tr: 'σ_z', 'σ_y', 'C2'; sym: 'C3',
# # copy: 0, 1 (zdroj)
# ((0,1), 'sym', 'σ_z'),
# #((0,1), 'sym', 'σ_x'),
# #((0,1), 'sym', 'σ_y'),
# ((0,1), 'sym', 'C3'),
# ((1), 'tr', 'C2'),
#
#)
# -----------------finished basic CLI parsing (except for op arguments) ------------------
import time
begtime=time.time()
from matplotlib.path import Path
import matplotlib.patches as patches
import matplotlib.pyplot as plt
import qpms
import numpy as np
import os, sys, warnings, math
from matplotlib import pyplot as plt
from matplotlib.backends.backend_pdf import PdfPages
from scipy import interpolate
nx = None
s3 = math.sqrt(3)
pdf = PdfPages(pdfout)
# In[3]:
# specifikace T-matice zde
cdn = c/ math.sqrt(epsilon_b)
TMatrices_orig, freqs_orig, freqs_weirdunits_orig, lMaxTM = qpms.loadScuffTMatrices(TMatrix_file)
lMax = lMaxTM
if pargs.lMax:
lMax = pargs.lMax if pargs.lMax else lMaxTM
my, ny = qpms.get_mn_y(lMax)
nelem = len(my)
if pargs.lMax: #force commandline specified lMax
TMatrices_orig = TMatrices_orig[...,0:nelem,:,0:nelem]
TMatrices = np.array(np.broadcast_to(TMatrices_orig[:,nx,:,:,:,:],(len(freqs_orig),2,2,nelem,2,nelem)) )
#TMatrices[:,:,:,:,:,ny==3] *= factor13inc
#TMatrices[:,:,:,ny==3,:,:] *= factor13scat
xfl = qpms.xflip_tyty(lMax)
yfl = qpms.yflip_tyty(lMax)
zfl = qpms.zflip_tyty(lMax)
c2rot = qpms.apply_matrix_left(qpms.yflip_yy(3),qpms.xflip_yy(3),-1)
reCN = re.compile('(\d*)C(\d+)')
#TODO C nekonečno
for op in ops:
if op[0] == 'all':
targets = (0,1)
elif isinstance(op[0],int):
targets = (op[0],)
else:
targets = op[0]
if op[1] == 'sym':
mCN = reCN.match(op[2]) # Fuck van Rossum for not having assignments inside expressions
if op[2] == 'σ_z':
for t in targets:
TMatrices[:,t] = (TMatrices[:,t] + qpms.apply_ndmatrix_left(zfl,qpms.apply_ndmatrix_left(zfl, TMatrices[:,t], (-4,-3)),(-2,-1)))/2
elif op[2] == 'σ_y':
for t in targets:
TMatrices[:,t] = (TMatrices[:,t] + qpms.apply_ndmatrix_left(yfl,qpms.apply_ndmatrix_left(yfl, TMatrices[:,t], (-4,-3)),(-2,-1)))/2
elif op[2] == 'σ_x':
for t in targets:
TMatrices[:,t] = (TMatrices[:,t] + qpms.apply_ndmatrix_left(xfl,qpms.apply_ndmatrix_left(xfl, TMatrices[:,t], (-4,-3)),(-2,-1)))/2
elif op[2] == 'C2': # special case of the latter
for t in targets:
TMatrices[:,t] = (TMatrices[:,t] + qpms.apply_matrix_left(c2rot,qpms.apply_matrix_left(c2rot, TMatrices[:,t], -3),-1))/2
elif mCN:
rotN = int(mCN.group(2))
TMatrix_contribs = np.empty((rotN,TMatrices.shape[0],2,nelem,2,nelem), dtype=np.complex_)
for t in targets:
for i in range(rotN):
rotangle = 2*np.pi*i / rotN
rot = qpms.WignerD_yy_fromvector(lMax,np.array([0,0,rotangle]))
rotinv = qpms.WignerD_yy_fromvector(lMax,np.array([0,0,-rotangle]))
TMatrix_contribs[i] = qpms.apply_matrix_left(rot,qpms.apply_matrix_left(rotinv, TMatrices[:,t], -3),-1)
TMatrices[:,t] = np.sum(TMatrix_contribs, axis=0) / rotN
else:
raise
elif op[1] == 'tr':
mCN = reCN.match(op[2]) # Fuck van Rossum for not having assignments inside expressions
if op[2] == 'σ_z':
for t in targets:
TMatrices[:,t] = qpms.apply_ndmatrix_left(zfl,qpms.apply_ndmatrix_left(zfl, TMatrices[:,t], (-4,-3)),(-2,-1))
elif op[2] == 'σ_y':
for t in targets:
TMatrices[:,t] = qpms.apply_ndmatrix_left(yfl,qpms.apply_ndmatrix_left(yfl, TMatrices[:,t], (-4,-3)),(-2,-1))
elif op[2] == 'σ_x':
for t in targets:
TMatrices[:,t] = qpms.apply_ndmatrix_left(xfl,qpms.apply_ndmatrix_left(xfl, TMatrices[:,t], (-4,-3)),(-2,-1))
elif op[2] == 'C2':
for t in targets:
TMatrices[:,t] = qpms.apply_matrix_left(c2rot,qpms.apply_matrix_left(c2rot, TMatrices[:,t], -3),-1)
elif mCN:
rotN = int(mCN.group(2))
power = int(mCN.group(1)) if mCN.group(1) else 1
TMatrix_contribs = np.empty((rotN,TMatrices.shape[0],2,nelem,2,nelem), dtype=np.complex_)
for t in targets:
rotangle = 2*np.pi*power/rotN
rot = qpms.WignerD_yy_fromvector(lMax, np.array([0,0,rotangle]))
rotinv = qpms.WignerD_yy_fromvector(lMax, np.array([0,0,-rotangle]))
TMatrices[:,t] = qpms.apply_matrix_left(rot, qpms.apply_matrix_left(rotinv, TMatrices[:,t], -3),-1)
else:
raise
elif op[1] == 'copy':
raise # not implemented
elif op[1] == 'mult':
raise # not implemented
elif op[1] == 'multl':
incy = np.full((nelem,), False, dtype=bool)
for incl in op[2][0].split(','):
l = int(incl)
incy += (l == ny)
scaty = np.full((nelem,), False, dtype=bool)
for scatl in op[2][1].split(','):
l = int(scatl)
scaty += (l == ny)
for t in targets:
TMatrices[np.ix_(np.arange(TMatrices.shape[0]),np.array([t]),np.array([0,1]),scaty,np.array([0,1]),incy)] *= float(op[2][2])
else:
raise #unknown operation; should not happen
TMatrices_interp = interpolate.interp1d(freqs_orig*interpfreqfactor, TMatrices, axis=0, kind='linear',fill_value="extrapolate")
# In[4]:
if(pargs.plot_TMatrix):
om = np.linspace(np.min(freqs_orig), np.max(freqs_orig),100)
TMatrix0ip = np.reshape(TMatrices_interp(om)[:,0], (len(om), 2*nelem*2*nelem))
f, axa = plt.subplots(2, 2, figsize=(15,15))
#print(TMatrices.shape)
#plt.plot(om, TMatrices[:,0,0,0,0].imag,'r',om, TMatrices[:,0,0,0,0].real,'r--',om, TMatrices[:,0,2,0,2].imag,'b',om, TMatrices[:,0,2,0,2].real,'b--'))
ax = axa[0,0]
ax2 = ax.twiny()
ax2.set_xlim([ax.get_xlim()[0]/eV*hbar,ax.get_xlim()[1]/eV*hbar])
ax.plot(
om, TMatrix0ip[:,:].imag,'-',om, TMatrix0ip[:,:].real,'--',
)
ax = axa[0,1]
ax2 = ax.twiny()
ax2.set_xlim([ax.get_xlim()[0]/eV*hbar,ax.get_xlim()[1]/eV*hbar])
ax.plot(
om, abs(TMatrix0ip[:,:]),'-'
)
ax.set_yscale('log')
ax = axa[1,1]
ax2 = ax.twiny()
ax2.set_xlim([ax.get_xlim()[0]/eV*hbar,ax.get_xlim()[1]/eV*hbar])
ax.plot(
om, np.unwrap(np.angle(TMatrix0ip[:,:]),axis=0),'-'
)
ax = axa[1,0]
ax.text(0.5,0.5,str(pargs).replace(',',',\n'),horizontalalignment='center',verticalalignment='center',transform=ax.transAxes)
pdf.savefig(f)
# In[ ]:
'''
#kdensity = 66 #defined from cl arguments
bz_0 = np.array((0,0,0.,))
bz_K1 = np.array((1.,0,0))*4*np.pi/3/hexside/s3
bz_K2 = np.array((1./2.,s3/2,0))*4*np.pi/3/hexside/s3
bz_M = np.array((3./4, s3/4,0))*4*np.pi/3/hexside/s3
k0Mlist = bz_0 + (bz_M-bz_0) * np.linspace(0,1,kdensity)[:,nx]
kMK1list = bz_M + (bz_K1-bz_M) * np.linspace(0,1,kdensity)[:,nx]
kK10list = bz_K1 + (bz_0-bz_K1) * np.linspace(0,1,kdensity)[:,nx]
k0K2list = bz_0 + (bz_K2-bz_0) * np.linspace(0,1,kdensity)[:,nx]
kK2Mlist = bz_K2 + (bz_M-bz_K2) * np.linspace(0,1,kdensity)[:,nx]
B1 = 2* bz_K1 - bz_K2
B2 = 2* bz_K2 - bz_K1
klist = np.concatenate((k0Mlist,kMK1list,kK10list,k0K2list,kK2Mlist), axis=0)
kxmaplist = np.concatenate((np.array([0]),np.cumsum(np.linalg.norm(np.diff(klist, axis=0), axis=-1))))
'''
klist = qpms.generate_trianglepoints(kdensity, v3d=True, include_origin=True)*3*math.pi/(3*kdensity*hexside)
TMatrices_om = TMatrices_interp(freq)
svdres = qpms.hexlattice_zsym_getSVD(lMax=lMax, TMatrices_om=TMatrices_om, epsilon_b=epsilon_b, hexside=hexside, maxlayer=maxlayer,
omega=freq, klist=klist, gaussianSigma=gaussianSigma, onlyNmin=(0 if svdout else svn))
if svdout:
((svUfullTElist, svSfullTElist, svVfullTElist), (svUfullTMlist, svSfullTMlist, svVfullTMlist)) = svdres
(minsvElist, minsvTMlist) = (svSfullTElist[...,-svn:], svSfullTMlist[...,-svn:])
else:
minsvTElist, minsvTMlist = svdres
''' The new pretty diffracted order drawing '''
maxlayer_reciprocal=4
cdn = c/ math.sqrt(epsilon_b)
bz_0 = np.array((0,0,))
bz_K1 = np.array((1.,0))*4*np.pi/3/hexside/s3
bz_K2 = np.array((1./2.,s3/2))*4*np.pi/3/hexside/s3
bz_M = np.array((3./4, s3/4))*4*np.pi/3/hexside/s3
# reciprocal lattice basis
B1 = 2* bz_K1 - bz_K2
B2 = 2* bz_K2 - bz_K1
if svdout:
np.savez(svdout, omega = freq, klist = klist, bzpoints = np.array([bz_0, bz_K1, bz_K2, bz_M, B1, B2]),
uTE = svUfullTElist,
vTE = svVfullTElist,
sTE = svSfullTElist,
uTM = svUfullTMlist,
vTM = svVfullTMlist,
sTM = svSfullTMlist,
)
k2density = 100
k0Mlist = bz_0 + (bz_M-bz_0) * np.linspace(0,1,k2density)[:,nx]
kMK1list = bz_M + (bz_K1-bz_M) * np.linspace(0,1,k2density)[:,nx]
kK10list = bz_K1 + (bz_0-bz_K1) * np.linspace(0,1,k2density)[:,nx]
k0K2list = bz_0 + (bz_K2-bz_0) * np.linspace(0,1,k2density)[:,nx]
kK2Mlist = bz_K2 + (bz_M-bz_K2) * np.linspace(0,1,k2density)[:,nx]
k2list = np.concatenate((k0Mlist,kMK1list,kK10list,k0K2list,kK2Mlist), axis=0)
kxmaplist = np.concatenate((np.array([0]),np.cumsum(np.linalg.norm(np.diff(k2list, axis=0), axis=-1))))
centers2=qpms.generate_trianglepoints(maxlayer_reciprocal, v3d = False, include_origin= True)*4*np.pi/3/hexside
rot90 = np.array([[0,-1],[1,0]])
centers2=np.dot(centers2,rot90)
import matplotlib.pyplot as plt
import matplotlib
from matplotlib.path import Path
import matplotlib.patches as patches
cmap = matplotlib.cm.prism
colormax = np.amax(np.linalg.norm(centers2,axis=0))
# In[ ]:
for minN in reversed(range(svn)):
f, axes = plt.subplots(1,3, figsize=(20,4.8))
ax = axes[0]
sc = ax.scatter(klist[:,0], klist[:,1], c = np.clip(np.abs(minsvTElist[:,minN]),0,1), lw=0)
for center in centers2:
circle=plt.Circle((center[0],center[1]),omega/cdn, facecolor='none', edgecolor=cmap(np.linalg.norm(center)/colormax),lw=0.5)
ax.add_artist(circle)
verts = [(math.cos(math.pi*i/3)*4*np.pi/3/hexside/s3,math.sin(math.pi*i/3)*4*np.pi/3/hexside/s3) for i in range(6 +1)]
codes = [Path.MOVETO,Path.LINETO,Path.LINETO,Path.LINETO,Path.LINETO,Path.LINETO,Path.CLOSEPOLY,]
path = Path(verts, codes)
patch = patches.PathPatch(path, facecolor='none', edgecolor='black', lw=1)
ax.add_patch(patch)
ax.set_xticks([])
ax.set_yticks([])
ax.title.set_text('E in-plane ("TE")')
f.colorbar(sc,ax=ax)
ax = axes[1]
sc = ax.scatter(klist[:,0], klist[:,1], c = np.clip(np.abs(minsvTMlist[:,minN]),0,1), lw=0)
for center in centers2:
circle=plt.Circle((center[0],center[1]),omega/cdn, facecolor='none', edgecolor=cmap(np.linalg.norm(center)/colormax),lw=0.5)
ax.add_artist(circle)
verts = [(math.cos(math.pi*i/3)*4*np.pi/3/hexside/s3,math.sin(math.pi*i/3)*4*np.pi/3/hexside/s3) for i in range(6 +1)]
codes = [Path.MOVETO,Path.LINETO,Path.LINETO,Path.LINETO,Path.LINETO,Path.LINETO,Path.CLOSEPOLY,]
path = Path(verts, codes)
patch = patches.PathPatch(path, facecolor='none', edgecolor='black', lw=1)
ax.add_patch(patch)
ax.set_xticks([])
ax.set_yticks([])
ax.title.set_text('E perpendicular ("TM")')
f.colorbar(sc,ax=ax)
ax = axes[2]
for center in centers2:
ax.plot(kxmaplist, np.linalg.norm(k2list-center,axis=-1)*cdn, '-', color=cmap(np.linalg.norm(center)/colormax))
#ax.set_xlim([np.min(kxmlarr),np.max(kxmlarr)])
#ax.set_ylim([np.min(omegalist),np.max(omegalist)])
xticklist = [0, kxmaplist[len(k0Mlist)-1], kxmaplist[len(k0Mlist)+len(kMK1list)-1], kxmaplist[len(k0Mlist)+len(kMK1list)+len(kK10list)-1], kxmaplist[len(k0Mlist)+len(kMK1list)+len(kK10list)+len(k0K2list)-1], kxmaplist[len(k0Mlist)+len(kMK1list)+len(kK10list)+len(k0K2list)+len(kK2Mlist)-1]]
ax.set_xticks(xticklist)
for xt in xticklist:
ax.axvline(xt, ls='dotted', lw=0.3,c='k')
ax.set_xticklabels(['Γ', 'M', 'K', 'Γ', 'K\'','M'])
ax.axhline(omega, c='black')
ax.set_ylim([0,5e15])
ax2 = ax.twinx()
ax2.set_ylim([ax.get_ylim()[0]/eV*hbar,ax.get_ylim()[1]/eV*hbar])
pdf.savefig(f)
pdf.close()
if scp_dest:
subprocess.run(['scp', pdfout, scp_dest])
if svdout:
subprocess.run(['scp', svdout, scp_dest])
print(time.strftime("%H.%M:%S",time.gmtime(time.time()-begtime)))

239
misc/dispersion_hex_chunks.py Executable file
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@ -0,0 +1,239 @@
#!/usr/bin/env python3
import argparse, re, random, string
import subprocess
from scipy.constants import hbar, e as eV, pi, c
def make_action_sharedlist(opname, listname):
class opAction(argparse.Action):
def __call__(self, parser, args, values, option_string=None):
if (not hasattr(args, listname)) or getattr(args, listname) is None:
setattr(args, listname, list())
getattr(args,listname).append((opname, values))
return opAction
parser = argparse.ArgumentParser()
#TODO? použít type=argparse.FileType('r') ?
parser.add_argument('--TMatrix', action='store', required=True, help='Path to TMatrix file')
#parser.add_argument('--griddir', action='store', required=True, help='Path to the directory with precalculated translation operators')
parser.add_argument('--output_prefix', action='store', required=True, help='Prefix to the npz output (will be appended frequency, hexside and chunkno)')
#sizepar = parser.add_mutually_exclusive_group(required=True)
parser.add_argument('--hexside', action='store', type=float, required=True, help='Lattice hexagon size length')
parser.add_argument('--plot_TMatrix', action='store_true', help='Visualise TMatrix on the first page of the output')
#parser.add_argument('--SVD_output', action='store', help='Path to output singular value decomposition result')
parser.add_argument('--maxlayer', action='store', type=int, default=100, help='How far to sum the lattice points to obtain the dispersion')
parser.add_argument('--scp_to', action='store', metavar='N', type=str, help='SCP the output files to a given destination')
parser.add_argument('--background_permittivity', action='store', type=float, default=1., help='Background medium relative permittivity (default 1)')
parser.add_argument('--eVfreq', action='store', required=True, type=float, help='Frequency in eV')
parser.add_argument('--kdensity', action='store', type=int, default=33, help='Number of k-points per x-axis segment')
parser.add_argument('--chunklen', action='store', type=int, default=1000, help='Number of k-points per output file (default 1000)')
parser.add_argument('--lMax', action='store', type=int, help='Override lMax from the TMatrix file')
#TODO some more sophisticated x axis definitions
parser.add_argument('--gaussian', action='store', type=float, metavar='σ', help='Use a gaussian envelope for weighting the interaction matrix contributions (depending on the distance), measured in unit cell lengths (?) FIxME).')
parser.add_argument('--verbose', '-v', action='count', help='Be verbose (about computation times, mostly)')
popgrp=parser.add_argument_group(title='Operations')
popgrp.add_argument('--tr', dest='ops', action=make_action_sharedlist('tr', 'ops'), default=list()) # the default value for dest can be set once
popgrp.add_argument('--tr0', dest='ops', action=make_action_sharedlist('tr0', 'ops'))
popgrp.add_argument('--tr1', dest='ops', action=make_action_sharedlist('tr1', 'ops'))
popgrp.add_argument('--sym', dest='ops', action=make_action_sharedlist('sym', 'ops'))
popgrp.add_argument('--sym0', dest='ops', action=make_action_sharedlist('sym0', 'ops'))
popgrp.add_argument('--sym1', dest='ops', action=make_action_sharedlist('sym1', 'ops'))
#popgrp.add_argument('--mult', dest='ops', nargs=3, metavar=('INCSPEC', 'SCATSPEC', 'MULTIPLIER'), action=make_action_sharedlist('mult', 'ops'))
#popgrp.add_argument('--mult0', dest='ops', nargs=3, metavar=('INCSPEC', 'SCATSPEC', 'MULTIPLIER'), action=make_action_sharedlist('mult0', 'ops'))
#popgrp.add_argument('--mult1', dest='ops', nargs=3, metavar=('INCSPEC', 'SCATSPEC', 'MULTIPLIER'), action=make_action_sharedlist('mult1', 'ops'))
popgrp.add_argument('--multl', dest='ops', nargs=3, metavar=('INCL[,INCL,...]', 'SCATL[,SCATL,...]', 'MULTIPLIER'), action=make_action_sharedlist('multl', 'ops'))
popgrp.add_argument('--multl0', dest='ops', nargs=3, metavar=('INCL[,INCL,...]', 'SCATL[,SCATL,...]', 'MULTIPLIER'), action=make_action_sharedlist('multl0', 'ops'))
popgrp.add_argument('--multl1', dest='ops', nargs=3, metavar=('INCL[,INCL,...]', 'SCATL[,SCATL,...]', 'MULTIPLIER'), action=make_action_sharedlist('multl1', 'ops'))
parser.add_argument('--frequency_multiplier', action='store', type=float, default=1., help='Multiplies the frequencies in the TMatrix file by a given factor.')
# TODO enable more flexible per-sublattice specification
pargs=parser.parse_args()
print(pargs)
maxlayer=pargs.maxlayer
hexside=pargs.hexside
eVfreq = pargs.eVfreq
freq = eVfreq*eV/hbar
verbose=pargs.verbose
TMatrix_file = pargs.TMatrix
epsilon_b = pargs.background_permittivity #2.3104
gaussianSigma = pargs.gaussian if pargs.gaussian else None # hexside * 222 / 7
interpfreqfactor = pargs.frequency_multiplier
scp_dest = pargs.scp_to if pargs.scp_to else None
kdensity = pargs.kdensity
chunklen = pargs.chunklen
ops = list()
opre = re.compile('(tr|sym|copy|multl|mult)(\d*)')
for oparg in pargs.ops:
opm = opre.match(oparg[0])
if opm:
ops.append(((opm.group(2),) if opm.group(2) else (0,1), opm.group(1), oparg[1]))
else:
raise # should not happen
print(ops)
# -----------------finished basic CLI parsing (except for op arguments) ------------------
from qpms.timetrack import _time_b, _time_e
btime=_time_b(verbose)
import qpms
import numpy as np
import os, sys, warnings, math
from scipy import interpolate
nx = None
s3 = math.sqrt(3)
# specifikace T-matice zde
cdn = c/ math.sqrt(epsilon_b)
TMatrices_orig, freqs_orig, freqs_weirdunits_orig, lMaxTM = qpms.loadScuffTMatrices(TMatrix_file)
lMax = lMaxTM
if pargs.lMax:
lMax = pargs.lMax if pargs.lMax else lMaxTM
my, ny = qpms.get_mn_y(lMax)
nelem = len(my)
if pargs.lMax: #force commandline specified lMax
TMatrices_orig = TMatrices_orig[...,0:nelem,:,0:nelem]
TMatrices = np.array(np.broadcast_to(TMatrices_orig[:,nx,:,:,:,:],(len(freqs_orig),2,2,nelem,2,nelem)) )
#TMatrices[:,:,:,:,:,ny==3] *= factor13inc
#TMatrices[:,:,:,ny==3,:,:] *= factor13scat
xfl = qpms.xflip_tyty(lMax)
yfl = qpms.yflip_tyty(lMax)
zfl = qpms.zflip_tyty(lMax)
c2rot = qpms.apply_matrix_left(qpms.yflip_yy(3),qpms.xflip_yy(3),-1)
reCN = re.compile('(\d*)C(\d+)')
#TODO C nekonečno
for op in ops:
if op[0] == 'all':
targets = (0,1)
elif isinstance(op[0],int):
targets = (op[0],)
else:
targets = op[0]
if op[1] == 'sym':
mCN = reCN.match(op[2]) # Fuck van Rossum for not having assignments inside expressions
if op[2] == 'σ_z':
for t in targets:
TMatrices[:,t] = (TMatrices[:,t] + qpms.apply_ndmatrix_left(zfl,qpms.apply_ndmatrix_left(zfl, TMatrices[:,t], (-4,-3)),(-2,-1)))/2
elif op[2] == 'σ_y':
for t in targets:
TMatrices[:,t] = (TMatrices[:,t] + qpms.apply_ndmatrix_left(yfl,qpms.apply_ndmatrix_left(yfl, TMatrices[:,t], (-4,-3)),(-2,-1)))/2
elif op[2] == 'σ_x':
for t in targets:
TMatrices[:,t] = (TMatrices[:,t] + qpms.apply_ndmatrix_left(xfl,qpms.apply_ndmatrix_left(xfl, TMatrices[:,t], (-4,-3)),(-2,-1)))/2
elif op[2] == 'C2': # special case of the latter
for t in targets:
TMatrices[:,t] = (TMatrices[:,t] + qpms.apply_matrix_left(c2rot,qpms.apply_matrix_left(c2rot, TMatrices[:,t], -3),-1))/2
elif mCN:
rotN = int(mCN.group(2))
TMatrix_contribs = np.empty((rotN,TMatrices.shape[0],2,nelem,2,nelem), dtype=np.complex_)
for t in targets:
for i in range(rotN):
rotangle = 2*np.pi*i / rotN
rot = qpms.WignerD_yy_fromvector(lMax,np.array([0,0,rotangle]))
rotinv = qpms.WignerD_yy_fromvector(lMax,np.array([0,0,-rotangle]))
TMatrix_contribs[i] = qpms.apply_matrix_left(rot,qpms.apply_matrix_left(rotinv, TMatrices[:,t], -3),-1)
TMatrices[:,t] = np.sum(TMatrix_contribs, axis=0) / rotN
else:
raise
elif op[1] == 'tr':
mCN = reCN.match(op[2]) # Fuck van Rossum for not having assignments inside expressions
if op[2] == 'σ_z':
for t in targets:
TMatrices[:,t] = qpms.apply_ndmatrix_left(zfl,qpms.apply_ndmatrix_left(zfl, TMatrices[:,t], (-4,-3)),(-2,-1))
elif op[2] == 'σ_y':
for t in targets:
TMatrices[:,t] = qpms.apply_ndmatrix_left(yfl,qpms.apply_ndmatrix_left(yfl, TMatrices[:,t], (-4,-3)),(-2,-1))
elif op[2] == 'σ_x':
for t in targets:
TMatrices[:,t] = qpms.apply_ndmatrix_left(xfl,qpms.apply_ndmatrix_left(xfl, TMatrices[:,t], (-4,-3)),(-2,-1))
elif op[2] == 'C2':
for t in targets:
TMatrices[:,t] = qpms.apply_matrix_left(c2rot,qpms.apply_matrix_left(c2rot, TMatrices[:,t], -3),-1)
elif mCN:
rotN = int(mCN.group(2))
power = int(mCN.group(1)) if mCN.group(1) else 1
TMatrix_contribs = np.empty((rotN,TMatrices.shape[0],2,nelem,2,nelem), dtype=np.complex_)
for t in targets:
rotangle = 2*np.pi*power/rotN
rot = qpms.WignerD_yy_fromvector(lMax, np.array([0,0,rotangle]))
rotinv = qpms.WignerD_yy_fromvector(lMax, np.array([0,0,-rotangle]))
TMatrices[:,t] = qpms.apply_matrix_left(rot, qpms.apply_matrix_left(rotinv, TMatrices[:,t], -3),-1)
else:
raise
elif op[1] == 'copy':
raise # not implemented
elif op[1] == 'mult':
raise # not implemented
elif op[1] == 'multl':
incy = np.full((nelem,), False, dtype=bool)
for incl in op[2][0].split(','):
l = int(incl)
incy += (l == ny)
scaty = np.full((nelem,), False, dtype=bool)
for scatl in op[2][1].split(','):
l = int(scatl)
scaty += (l == ny)
for t in targets:
TMatrices[np.ix_(np.arange(TMatrices.shape[0]),np.array([t]),np.array([0,1]),scaty,np.array([0,1]),incy)] *= float(op[2][2])
else:
raise #unknown operation; should not happen
TMatrices_interp = interpolate.interp1d(freqs_orig*interpfreqfactor, TMatrices, axis=0, kind='linear',fill_value="extrapolate")
klist_full = qpms.generate_trianglepoints(kdensity, v3d=True, include_origin=True)*3*math.pi/(3*kdensity*hexside)
TMatrices_om = TMatrices_interp(freq)
chunkn = math.ceil(klist_full.shape[0] / chunklen)
if verbose:
print('Evaluating %d k-points in %d chunks' % (klist_full.shape[0], chunkn), file = sys.stderr)
sys.stderr.flush()
metadata = np.array({
'lMax' : lMax,
'maxlayer' : maxlayer,
'gaussianSigma' : gaussianSigma,
'epsilon_b' : epsilon_b,
'hexside' : hexside,
'chunkn' : chunkn,
'TMatrix_file' : TMatrix_file,
'ops' : ops,
})
for chunki in range(chunkn):
svdout = '%s_%dnm_%.4f_c%03d.npz' % (pargs.output_prefix, hexside/1e-9, eVfreq, chunki)
klist = klist_full[chunki * chunklen : (chunki + 1) * chunklen]
svdres = qpms.hexlattice_zsym_getSVD(lMax=lMax, TMatrices_om=TMatrices_om, epsilon_b=epsilon_b, hexside=hexside, maxlayer=maxlayer,
omega=freq, klist=klist, gaussianSigma=gaussianSigma, onlyNmin=False, verbose=verbose)
#((svUfullTElist, svSfullTElist, svVfullTElist), (svUfullTMlist, svSfullTMlist, svVfullTMlist)) = svdres
np.savez(svdout, omega = freq, klist = klist,
metadata=metadata,
uTE = svdres[0][0],
vTE = svdres[0][2],
sTE = svdres[0][1],
uTM = svdres[1][0],
vTM = svdres[1][2],
sTM = svdres[1][1],
)
svdres=None
if scp_dest:
if svdout:
subprocess.run(['scp', svdout, scp_dest])
_time_e(btime, verbose)
#print(time.strftime("%H.%M:%S",time.gmtime(time.time()-begtime)))

View File

@ -1,719 +0,0 @@
{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import qpms\n",
"import warnings\n",
"from qpms.cybspec import BaseSpec\n",
"from qpms.cytmatrices import CTMatrix, TMatrixGenerator, TMatrixInterpolator\n",
"from qpms.qpms_c import Particle, pgsl_ignore_error\n",
"from qpms.cymaterials import EpsMu, EpsMuGenerator, LorentzDrudeModel, lorentz_drude\n",
"from qpms.cycommon import DebugFlags, dbgmsg_enable\n",
"from qpms import FinitePointGroup, ScatteringSystem, BesselType, eV, hbar\n",
"import scipy.constants as sci\n",
"eh = eV/hbar"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"#TODO\n",
"period = 520e-9\n",
"a1 = np.array([0,period]) \n",
"a2 = np.array([period,0])"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"#Particle positions\n",
"orig_x = [0]\n",
"orig_y = [0]\n",
"orig_xy = np.stack(np.meshgrid(orig_x,orig_y),axis=-1)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"period = 0.52\n",
"refractive_index = 1.52 # for background medium\n",
"height = 50e-9 # Particle height\n",
"radius = 50e-9 # Particle radius\n",
"medium = EpsMu(refractive_index**2) # non-lossy background medium with constant refr. index #OK\n",
"# global symmetry group of the system\n",
"#sym = FinitePointGroup(point_group_info['D4h'])\n",
"omega = 1.58*eh\n",
"metal = lorentz_drude['Ag']\n",
"kx_lim = np.array([-0.2, 0.2], dtype=float)\n",
"N=501"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(7.59633723939313, 8.305328715069821, 7.94387469344152, 8.001475225494097)"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"omega_scuff_min=1.5*eh/3e14\n",
"omega_scuff_max=1.64*eh/3e14\n",
"omega_scuff=omega/3e14\n",
"omega_scuff_slr=(2*np.pi*sci.c/(1.52*0.52e-6))/3e14\n",
"omega_scuff_min, omega_scuff_max, omega_scuff_slr, omega_scuff"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"bspec = BaseSpec(lMax = 1)\n",
"\n",
"tmfile_scuffOld = '/home/javier/tmatrices/sphereAg_50nm_oldScuff.TMatrix'\n",
"tmfile_scuffNew = '/home/javier/tmatrices/sphere50nm_newScuff.TMatrix'\n",
"interp_old = TMatrixInterpolator(tmfile_scuffOld, bspec, atol=1e-8) \n",
"interp_new = TMatrixInterpolator(tmfile_scuffNew, bspec, atol=1e-8) \n",
"tmscuff_not_fixed = interp_old(omega)\n",
"tmscuff_bugfixed = interp_new(omega)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"tmgen = TMatrixGenerator.sphere(medium, metal, radius)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"tmgen_omega=tmgen(bspec,omega)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[-0.07824951+0.25215549j, 0. +0.j , 0. +0.j , 0. +0.j , 0. +0.j , 0. +0.j ],\n",
" [ 0. +0.j , -0.07824951+0.25215549j, 0. +0.j , 0. +0.j , 0. +0.j , 0. +0.j ],\n",
" [ 0. +0.j , 0. +0.j , -0.07824951+0.25215549j, 0. +0.j , 0. +0.j , 0. +0.j ],\n",
" [ 0. +0.j , 0. +0.j , 0. +0.j , -0.00083788-0.01420874j, 0. +0.j , 0. +0.j ],\n",
" [ 0. +0.j , 0. +0.j , 0. +0.j , 0. +0.j , -0.00083788-0.01420874j, 0. +0.j ],\n",
" [ 0. +0.j , 0. +0.j , 0. +0.j , 0. +0.j , 0. +0.j , -0.00083788-0.01420874j]])"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"tmgen_omega.as_ndarray() # T-Matrix from generator"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[-4.70886671e-03+1.79440815e-02j, 1.60098226e-13+4.20092462e-13j, 2.26455777e-07+3.98932962e-07j, -2.13258227e-14-6.01930824e-14j, 7.66251504e-08-1.32539814e-08j,\n",
" -7.76488937e-14+1.08532726e-13j],\n",
" [-4.41531068e-13+9.81757019e-14j, -4.70582367e-03+1.79389513e-02j, -1.60702588e-13-4.19762769e-13j, 6.32372612e-08+4.71302619e-08j, -2.36039655e-14+1.00983241e-13j,\n",
" 7.76590838e-08-1.38092126e-08j],\n",
" [-4.58579591e-07-7.49053314e-09j, 4.41175187e-13-9.87457125e-14j, -4.70886672e-03+1.79440815e-02j, 2.13790755e-14+1.31812722e-13j, 6.25535562e-08+4.61875295e-08j,\n",
" 4.59276044e-14-4.47400043e-14j],\n",
" [ 4.93366461e-14-4.29235249e-14j, -6.94450011e-09-1.60278760e-08j, -7.79609985e-14+1.07845028e-13j, -3.03166095e-05-2.01474828e-03j, -2.39253108e-13-1.34944425e-13j,\n",
" 1.16328171e-08+6.36863105e-09j],\n",
" [ 8.21008790e-09-1.53591010e-08j, -2.36580203e-14+1.00878213e-13j, -5.41800099e-09-1.65573897e-08j, 2.26431323e-13-1.55248143e-13j, -3.03231670e-05-2.01493037e-03j,\n",
" 2.38800352e-13+1.35401679e-13j],\n",
" [ 2.18731933e-14+1.31428484e-13j, 7.13657440e-09-1.65412452e-08j, -2.48667583e-14-6.12974376e-14j, -1.11447700e-08+7.19733229e-09j, -2.26916383e-13+1.54810715e-13j,\n",
" -3.03166170e-05-2.01474828e-03j]])"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"tmscuff_not_fixed.as_ndarray() # T-Matrix of not fixed version of Scuff-EM"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[-9.43033280e-02+3.59361755e-01j, 3.20658236e-12+8.41416904e-12j, 5.13892659e-06+8.57797510e-06j, -4.28949536e-13-1.20456867e-12j, 1.41239218e-06-2.46862181e-07j,\n",
" -1.55480479e-12+2.17400571e-12j],\n",
" [-8.84386127e-12+1.96169624e-12j, -9.42395846e-02+3.59248336e-01j, -3.22166474e-12-8.40342496e-12j, 1.16868119e-06+8.68484583e-07j, -4.72874254e-13+2.02296639e-12j,\n",
" 1.43308826e-06-2.58864855e-07j],\n",
" [-9.99885677e-06+6.63229466e-08j, 8.83605486e-12-1.97841571e-12j, -9.43033282e-02+3.59361755e-01j, 4.27888728e-13+2.63976219e-12j, 1.15544356e-06+8.48824647e-07j,\n",
" 9.21093604e-13-8.94225073e-13j],\n",
" [ 9.85267406e-13-8.59818272e-13j, -1.43866720e-06+2.57952214e-07j, -1.56233879e-12+2.15974773e-12j, -6.07143255e-04-4.03488631e-02j, -4.79139425e-12-2.70322093e-12j,\n",
" 1.52945653e-07+8.36194839e-08j],\n",
" [-1.15196465e-06-8.46913318e-07j, -4.73514628e-13+2.02574744e-12j, -1.40806670e-06+2.47097086e-07j, 4.53481568e-12-3.10854698e-12j, -6.07256494e-04-4.03513114e-02j,\n",
" 4.78231690e-12+2.71099900e-12j],\n",
" [ 4.39050064e-13+2.63269196e-12j, -1.17350730e-06-8.70822943e-07j, -4.95069921e-13-1.22744130e-12j, -1.44529174e-07+9.78280211e-08j, -4.54412580e-12+3.10101417e-12j,\n",
" -6.07143303e-04-4.03488631e-02j]])"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"tmscuff_bugfixed.as_ndarray() # T-Matrix of FIXED version of Scuff-EM"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(matrix([[-9.43033280e-02+3.59361755e-01j, 3.20658236e-12+8.41416904e-12j],\n",
" [-8.84386127e-12+1.96169624e-12j, -9.42395846e-02+3.59248336e-01j]]),\n",
" matrix([[-9.43033280e-02-3.59361755e-01j, -8.84386127e-12-1.96169624e-12j],\n",
" [ 3.20658236e-12-8.41416904e-12j, -9.42395846e-02-3.59248336e-01j]]))"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#I play around with the different operations so everything is correct\n",
"tmscuffnew = tmscuff_bugfixed.as_ndarray()\n",
"tmscuffnew_mat = np.asmatrix(tmscuffnew)\n",
"tmscuffnew_dag = tmscuffnew_mat.getH()\n",
"tmscuffnew_mat[0:2,0:2], tmscuffnew_dag[0:2,0:2]"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(matrix([[1, 0],\n",
" [9, 4]]), matrix([[4, 9],\n",
" [0, 1]]))"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"A = np.matrix([[0,1],[2,3]])\n",
"B = np.matrix([[3,2],[1,0]])\n",
"AB = np.dot(A,B)\n",
"BA = np.dot(B,A)\n",
"AB,BA"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [],
"source": [
"sum1new = np.dot(tmscuffnew_dag,tmscuffnew) #is this the right order? Regarding the above, yes it is.\n",
"sum2new = 0.5*tmscuffnew.__add__(tmscuffnew_dag) "
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [],
"source": [
"powermatrix_scuffnew = sum1new.__add__(sum2new) #powermatrix for bugfixed scuff"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [],
"source": [
"#Power matrix for NOT bugfixed scuff\n",
"tmscuffold = tmscuff_not_fixed.as_ndarray()\n",
"tmscuffold_mat = np.asmatrix(tmscuffold)\n",
"tmscuffold_dag = tmscuffold_mat.getH()\n",
"sum1old = np.dot(tmscuffold_dag,tmscuffold) #is this the right order? Regarding the above, yes it is.\n",
"sum2old = 0.5*tmscuffold.__add__(tmscuffold_dag)\n",
"\n",
"powermatrix_scuffold = sum1old.__add__(sum2old) "
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [],
"source": [
"#Power matrix for T matrix generator\n",
"tmscuffgen = tmgen_omega.as_ndarray()\n",
"tmscuffgen_mat = np.asmatrix(tmscuffgen)\n",
"tmscuffgen_dag = tmscuffgen_mat.getH()\n",
"sum1gen = np.dot(tmscuffgen_dag,tmscuffgen) #is this the right order? Regarding the above, yes it is.\n",
"sum2gen = 0.5*tmscuffgen.__add__(tmscuffgen_dag)\n",
"\n",
"powermatrix_scuffgen = sum1gen.__add__(sum2gen) "
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"((-0.008544129580638216+0j),\n",
" (-0.008544129580638216+0j),\n",
" (-0.008544129580638216+0j),\n",
" (-0.0006352854997266949+0j),\n",
" (-0.0006352854997266949+0j),\n",
" (-0.0006352854997266949+0j))"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#Power matrix of generator is diagonal and all its eigenvalues are negative:\n",
"powermatrix_scuffgen[0,0], powermatrix_scuffgen[1,1], powermatrix_scuffgen[2,2], powermatrix_scuffgen[3,3], powermatrix_scuffgen[4,4], powermatrix_scuffgen[5,5]"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"((0.04373066071852283+0j),\n",
" (0.04370088172427582+0j),\n",
" (0.043730660553373296+0j),\n",
" (0.001021256123757952+0j),\n",
" (0.0010213406041430792+0j),\n",
" (0.0010212560750220145+0j))"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"powermatrix_scuffnew[0,0], powermatrix_scuffnew[1,1], powermatrix_scuffnew[2,2], powermatrix_scuffnew[3,3], powermatrix_scuffnew[4,4], powermatrix_scuffnew[5,5]"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"((-0.004364703222422517+0j),\n",
" (-0.004361872918812184+0j),\n",
" (-0.004364703232328262+0j),\n",
" (-2.6256479824067564e-05+0j),\n",
" (-2.6262303053141142e-05+0j),\n",
" (-2.6256487319428013e-05+0j))"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"powermatrix_scuffold[0,0], powermatrix_scuffold[1,1], powermatrix_scuffold[2,2], powermatrix_scuffold[3,3], powermatrix_scuffold[4,4], powermatrix_scuffold[5,5]"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"((-10.019160178833705-0j),\n",
" (-10.018834234211564-0j),\n",
" (-10.019160118257586-0j),\n",
" (-38.895393845668316-0j),\n",
" (-38.88998623145963-0j),\n",
" (-38.89538088616882-0j))"
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#So! There is a fixed factor between the N/M elements of Scuff new and old:\n",
"powermatrix_scuffnew[0,0]/powermatrix_scuffold[0,0], powermatrix_scuffnew[1,1]/powermatrix_scuffold[1,1], powermatrix_scuffnew[2,2]/powermatrix_scuffold[2,2], powermatrix_scuffnew[3,3]/powermatrix_scuffold[3,3], powermatrix_scuffnew[4,4]/powermatrix_scuffold[4,4], powermatrix_scuffnew[5,5]/powermatrix_scuffold[5,5]"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"((-5.118211317583541-0j),\n",
" (-5.11472600126595-0j),\n",
" (-5.118211298254535-0j),\n",
" (-1.6075545942687262-0j),\n",
" (-1.6076875744566317-0j),\n",
" (-1.60755451755371-0j))"
]
},
"execution_count": 23,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#And there is a fixed factor for new / generated as well! (hence also for old / generated)\n",
"powermatrix_scuffnew[0,0]/powermatrix_scuffgen[0,0], powermatrix_scuffnew[1,1]/powermatrix_scuffgen[1,1], powermatrix_scuffnew[2,2]/powermatrix_scuffgen[2,2], powermatrix_scuffnew[3,3]/powermatrix_scuffgen[3,3], powermatrix_scuffnew[4,4]/powermatrix_scuffgen[4,4], powermatrix_scuffnew[5,5]/powermatrix_scuffgen[5,5]"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"((-1.60755451755371-0j), (-2.557363000632975+0j))"
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"powermatrix_scuffnew[5,5]/powermatrix_scuffgen[5,5], powermatrix_scuffnew[1,1]/powermatrix_scuffgen[1,1]/2"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"((1.599227713011597e-16-0j),\n",
" (8.902299490051238e-14+0j),\n",
" (1.504486797691096e-21-0j))"
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#Let's also calculate the determinants\n",
"detnew = powermatrix_scuffnew[0,0]*powermatrix_scuffnew[1,1]*powermatrix_scuffnew[2,2]*powermatrix_scuffnew[3,3]*powermatrix_scuffnew[4,4]*powermatrix_scuffnew[5,5]\n",
"detold = powermatrix_scuffold[0,0]*powermatrix_scuffold[1,1]*powermatrix_scuffold[2,2]*powermatrix_scuffold[3,3]*powermatrix_scuffold[4,4]*powermatrix_scuffold[5,5]\n",
"detgen = powermatrix_scuffgen[0,0]*powermatrix_scuffgen[1,1]*powermatrix_scuffgen[2,2]*powermatrix_scuffgen[3,3]*powermatrix_scuffgen[4,4]*powermatrix_scuffgen[5,5]\n",
"detgen, detnew, detold"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"((1.5992277130116025e-16+0j),\n",
" (8.902299447416401e-14+2.6128569373609595e-39j),\n",
" (1.504486701753944e-21-2.892571608172536e-45j))"
]
},
"execution_count": 23,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.linalg.det(powermatrix_scuffgen), np.linalg.det(powermatrix_scuffnew), np.linalg.det(powermatrix_scuffold)"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [],
"source": [
"#We try to normalize the power matrix elements for each case with the corresponding determinants."
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"((-53426597795433.88+0j),\n",
" (-53426597795433.88+0j),\n",
" (-53426597795433.88+0j),\n",
" (-3972451793812.1055+0j),\n",
" (-3972451793812.1055+0j),\n",
" (-3972451793812.1055+0j))"
]
},
"execution_count": 25,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#T-matrix generator: \n",
"powermatrix_scuffgen[0,0]/detgen, powermatrix_scuffgen[1,1]/detgen, powermatrix_scuffgen[2,2]/detgen, powermatrix_scuffgen[3,3]/detgen, powermatrix_scuffgen[4,4]/detgen, powermatrix_scuffgen[5,5]/detgen "
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"((-2.901124309712079e+18+0j),\n",
" (-2.899243067806416e+18+0j),\n",
" (-2.901124316296214e+18+0j),\n",
" (-1.7452117136795634e+16+0j),\n",
" (-1.7455987711853198e+16+0j),\n",
" (-1.7452122118800434e+16+0j))"
]
},
"execution_count": 26,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#Not bugfixed Scuff-EM: \n",
"powermatrix_scuffold[0,0]/detold, powermatrix_scuffold[1,1]/detold, powermatrix_scuffold[2,2]/detold, powermatrix_scuffold[3,3]/detold, powermatrix_scuffold[4,4]/detold, powermatrix_scuffold[5,5]/detold "
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"((491228819782.9563+0j),\n",
" (490894310768.96173+0j),\n",
" (491228817927.8229+0j),\n",
" (11471823936.043226+0j),\n",
" (11472772908.667904+0j),\n",
" (11471823388.58987+0j))"
]
},
"execution_count": 27,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#New Scuff-EM: \n",
"powermatrix_scuffnew[0,0]/detnew, powermatrix_scuffnew[1,1]/detnew, powermatrix_scuffnew[2,2]/detnew, powermatrix_scuffnew[3,3]/detnew, powermatrix_scuffnew[4,4]/detnew, powermatrix_scuffnew[5,5]/detnew "
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [],
"source": [
"#It might make more sense to renormalize the electric and magnetic parts of the power matrices separately:"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"((13698.226641508763-0j),\n",
" (13698.226641508763-0j),\n",
" (13698.226641508763-0j),\n",
" (2477776.413504498-0j),\n",
" (2477776.413504498-0j),\n",
" (2477776.413504498-0j))"
]
},
"execution_count": 29,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#T-matrix generator:\n",
"detgen_el = powermatrix_scuffgen[0,0]*powermatrix_scuffgen[1,1]*powermatrix_scuffgen[2,2]\n",
"detgen_mag = powermatrix_scuffgen[3,3]*powermatrix_scuffgen[4,4]*powermatrix_scuffgen[5,5]\n",
"powermatrix_scuffgen[0,0]/detgen_el, powermatrix_scuffgen[1,1]/detgen_el, powermatrix_scuffgen[2,2]/detgen_el, powermatrix_scuffgen[3,3]/detgen_mag, powermatrix_scuffgen[4,4]/detgen_mag, powermatrix_scuffgen[5,5]/detgen_mag "
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"((52525.751093170744-0j),\n",
" (52491.69062780147-0j),\n",
" (52525.75121237855-0j),\n",
" (1450208903.6280527-0j),\n",
" (1450530534.6580672-0j),\n",
" (1450209317.614944-0j))"
]
},
"execution_count": 30,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#NOT bugfixed Scuff-EM:\n",
"detold_el = powermatrix_scuffold[0,0]*powermatrix_scuffold[1,1]*powermatrix_scuffold[2,2]\n",
"detold_mag = powermatrix_scuffold[3,3]*powermatrix_scuffold[4,4]*powermatrix_scuffold[5,5]\n",
"powermatrix_scuffold[0,0]/detold_el, powermatrix_scuffold[1,1]/detold_el, powermatrix_scuffold[2,2]/detold_el, powermatrix_scuffold[3,3]/detold_mag, powermatrix_scuffold[4,4]/detold_mag, powermatrix_scuffold[5,5]/detold_mag "
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"((523.2675016470721+0j),\n",
" (522.9111754524715+0j),\n",
" (523.2674996709441+0j),\n",
" (958726.5381294343+0j),\n",
" (958805.8459399715+0j),\n",
" (958726.4923775065+0j))"
]
},
"execution_count": 31,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#Bugfixed Scuff-EM:\n",
"detnew_el = powermatrix_scuffnew[0,0]*powermatrix_scuffnew[1,1]*powermatrix_scuffnew[2,2]\n",
"detnew_mag = powermatrix_scuffnew[3,3]*powermatrix_scuffnew[4,4]*powermatrix_scuffnew[5,5]\n",
"powermatrix_scuffnew[0,0]/detnew_el, powermatrix_scuffnew[1,1]/detnew_el, powermatrix_scuffnew[2,2]/detnew_el, powermatrix_scuffnew[3,3]/detnew_mag, powermatrix_scuffnew[4,4]/detnew_mag, powermatrix_scuffnew[5,5]/detnew_mag "
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.6"
}
},
"nbformat": 4,
"nbformat_minor": 2
}

View File

@ -1,362 +0,0 @@
#!/usr/bin/env python3
import math
from qpms.argproc import ArgParser, make_dict_action, sslice, annotate_pdf_metadata
figscale=3
ap = ArgParser(['rectlattice2d_finite', 'single_particle', 'single_lMax', 'single_omega'])
ap.add_argument("-k", '--wavevector', nargs=2, type=float, required=True, help='"Bloch" vector, modulating phase of the driving', metavar=('KX', 'KY'), default=(0., 0.))
# ap.add_argument("--kpi", action='store_true', help="Indicates that the k vector is given in natural units instead of SI, i.e. the arguments given by -k shall be automatically multiplied by pi / period (given by -p argument)")
ap.add_argument("-o", "--output", type=str, required=False, help='output path (if not provided, will be generated automatically)')
ap.add_argument("-O", "--plot-out", type=str, required=False, help="path to plot output (optional)")
ap.add_argument("-P", "--plot", action='store_true', help="if -p not given, plot to a default path")
ap.add_argument("-g", "--save-gradually", action='store_true', help="saves the partial result after computing each irrep")
ap.add_argument("-S", "--symmetry-adapted", default=None, help="Use a symmetry-adapted basis of a given point group instead of individual spherical harmonics")
ap.add_argument("-d", "--ccd-distance", type=float, default=math.nan, help='Far-field "CCD" distance from the sample')
ap.add_argument("-D", "--ccd-size", type=float, default=math.nan, help='Far-field "CCD" width and heighth')
ap.add_argument("-R", "--ccd-resolution", type=int, default=101, help='Far-field "CCD" resolution')
ap.add_argument("--xslice", default={None:None}, nargs=2,
action=make_dict_action(argtype=sslice, postaction='append', first_is_key=True),
)
ap.add_argument("--yslice", default={None:None}, nargs=2,
action=make_dict_action(argtype=sslice, postaction='append', first_is_key=True),
)
#ap.add_argument("--irrep", type=str, default="none", help="Irrep subspace (irrep index from 0 to 7, irrep label, or 'none' for no irrep decomposition")
a=ap.parse_args()
import logging
logging.basicConfig(format='%(asctime)s %(message)s', level=logging.INFO)
Nx, Ny = a.size
px, py = a.period
particlestr = ("sph" if a.height is None else "cyl") + ("_r%gnm" % (a.radius*1e9))
if a.height is not None: particlestr += "_h%gnm" % (a.height * 1e9)
defaultprefix = "cd_%s_p%gnmx%gnm_%dx%d_m%s_n%s_k_%g_%g_f%geV_L%d_micro-%s" % (
particlestr, px*1e9, py*1e9, Nx, Ny, str(a.material), str(a.background), a.wavevector[0], a.wavevector[1], a.eV, a.lMax, "SO3" if a.symmetry_adapted is None else a.symmetry_adapted)
logging.info("Default file prefix: %s" % defaultprefix)
import numpy as np
import qpms
from qpms.cybspec import BaseSpec
from qpms.cytmatrices import CTMatrix, TMatrixGenerator
from qpms.qpms_c import Particle, qpms_library_version
from qpms.cymaterials import EpsMu, EpsMuGenerator, LorentzDrudeModel, lorentz_drude
from qpms.cycommon import DebugFlags, dbgmsg_enable
from qpms import FinitePointGroup, ScatteringSystem, BesselType, eV, hbar
from qpms.symmetries import point_group_info
eh = eV/hbar
# Check slice ranges and generate all corresponding combinations
slicepairs = []
slicelabels = set(a.xslice.keys()) | set(a.yslice.keys())
for label in slicelabels:
rowslices = a.xslice.get(label, None)
colslices = a.yslice.get(label, None)
# TODO check validity of the slices.
if rowslices is None:
rowslices = [slice(None, None, None)]
if colslices is None:
colslices = [slice(None, None, None)]
for rs in rowslices:
for cs in colslices:
slicepairs.append((rs, cs))
def realdipfieldlabels(yp):
if yp == 0: return 'x'
if yp == 1: return 'y'
if yp == 2: return 'z'
raise ValueError
def realdipfields(vecgrid, yp):
if yp == 1:
return vecgrid[...,0] + vecgrid[...,2]
if yp == 0:
return -1j*(vecgrid[...,0] - vecgrid[...,2])
if yp == 2:
return vecgrid[...,1]
raise ValueError
def float_nicestr(x, tol=1e-5):
x = float(x)
if .5**2 - abs(x) < tol:
return(("-" if x < 0 else '+') + "2^{-2}")
else:
return "%+.3g" % x
def cplx_nicestr(x, tol=1e-5):
x = complex(x)
if x == 0:
return '0'
ret = ""
if x.real:
ret = ret + float_nicestr(x.real, tol)
if x.imag:
ret = ret + float_nicestr(x.imag, tol) + 'i'
if x.real and x.imag:
return '(' + ret + ')'
else:
return ret
def cleanarray(a, atol=1e-10, copy=True):
a = np.array(a, copy=copy)
sieve = abs(a.real) < atol
a[sieve] = 1j * a[sieve].imag
sieve = abs(a.imag) < atol
a[sieve] = a[sieve].real
return a
def nicerot(a, atol=1e-10, copy=True): #gives array a "nice" phase
a = np.array(a, copy=copy)
i = np.argmax(abs(a))
a = a / a[i] * abs(a[i])
return a
dbgmsg_enable(DebugFlags.INTEGRATION)
#Particle positions
orig_x = (np.arange(Nx/2) + (0 if (Nx % 2) else .5)) * px
orig_y = (np.arange(Ny/2) + (0 if (Ny % 2) else .5)) * py
orig_xy = np.stack(np.meshgrid(orig_x, orig_y), axis = -1)
omega = ap.omega
bspec = BaseSpec(lMax = a.lMax)
medium = EpsMuGenerator(ap.background_epsmu)
particles= [Particle(orig_xy[i], ap.tmgen, bspec) for i in np.ndindex(orig_xy.shape[:-1])]
sym = FinitePointGroup(point_group_info['D2h'])
ss, ssw = ScatteringSystem.create(particles=particles, medium=medium, omega=omega, sym=sym)
wavenumber = ap.background_epsmu.k(omega) # Currently, ScatteringSystem does not "remember" frequency nor wavenumber
# Mapping between ss particles and grid positions
positions = ss.positions
xpositions = np.unique(positions[:,0])
assert(len(xpositions) == Nx)
ypositions = np.unique(positions[:,1])
assert(len(ypositions == Ny))
# particle positions as integer indices
posmap = np.empty((positions.shape[0],2), dtype=int)
invposmap = np.empty((Nx, Ny), dtype=int)
for i, pos in enumerate(positions):
posmap[i,0] = np.searchsorted(xpositions, positions[i,0])
posmap[i,1] = np.searchsorted(ypositions, positions[i,1])
invposmap[posmap[i,0], posmap[i, 1]] = i
def fullvec2grid(fullvec, swapxy=False):
arr = np.empty((Nx,Ny,nelem), dtype=complex)
for pi, offset in enumerate(ss.fullvec_poffsets):
ix, iy = posmap[pi]
arr[ix, iy] = fullvec[offset:offset+nelem]
return np.swapaxes(arr, 0, 1) if swapxy else arr
outfile_tmp = defaultprefix + ".tmp" if a.output is None else a.output + ".tmp"
nelem = len(bspec)
phases = np.exp(1j*np.dot(ss.positions[:,:2], np.array(a.wavevector)))
driving_full = np.zeros((nelem, ss.fecv_size),dtype=complex)
if a.symmetry_adapted is not None:
ss1, ssw1 = ScatteringSystem.create(particles=[Particle((0,0,0), ap.tmgen, bspec)], medium=medium, omega=omega,
sym=FinitePointGroup(point_group_info[a.symmetry_adapted]))
fvcs1 = np.empty((nelem, nelem), dtype=complex)
y = 0
iris1 = []
for iri1 in range(ss1.nirreps):
for j in range(ss1.saecv_sizes[iri1]):
pvc1 = np.zeros((ss1.saecv_sizes[iri1],), dtype=complex)
pvc1[j] = 1
fvcs1[y] = ss1.unpack_vector(pvc1, iri1)
fvcs1[y] = cleanarray(nicerot(fvcs1[y], copy=False), copy=False)
driving_full[y] = (phases[:, None] * fvcs1[y][None,:]).flatten()
y += 1
iris1.append(iri1)
iris1 = np.array(iris1)
else:
for y in range(nelem):
driving_full[y,y::nelem] = phases
# Apply the driving on the specified slices only
nsp = len(slicepairs)
driving_full_sliced = np.zeros((nsp,) + driving_full.shape, dtype=complex)
p1range = np.arange(nelem)
for spi in range(nsp):
xs, ys = slicepairs[spi]
driven_pi = invposmap[xs, ys].flatten()
driven_y = ((driven_pi * nelem)[:,None] + p1range[None,:]).flatten()
driving_full_sliced[spi][:, driven_y] = driving_full[:, driven_y]
scattered_full = np.zeros((nsp, nelem, ss.fecv_size),dtype=complex)
scattered_ir = [None for iri in range(ss.nirreps)]
ir_contained = np.ones((nsp, nelem, ss.nirreps), dtype=bool)
for iri in range(ss.nirreps):
logging.info("processing irrep %d/%d" % (iri, ss.nirreps))
LU = None # to trigger garbage collection before the next call
translation_matrix = None
LU = ssw.scatter_solver(iri)
logging.info("LU solver created")
#translation_matrix = ss.translation_matrix_packed(wavenumber, iri, BesselType.REGULAR) + np.eye(ss.saecv_sizes[iri])
#logging.info("auxillary translation matrix created")
scattered_ir[iri] = np.zeros((nsp, nelem, ss.saecv_sizes[iri]), dtype=complex)
scattered_ir_unpacked = np.zeros((nsp, nelem, ss.fecv_size), dtype=complex)
for spi in range(nsp):
for y in range(nelem):
ã = driving_full_sliced[spi,y]
ãi = cleanarray(ss.pack_vector(ã, iri), copy=False)
if np.all(ãi == 0):
ir_contained[spi, y, iri] = False
continue
= ssw.apply_Tmatrices_full(ã)
Tãi = ss.pack_vector(, iri)
fi = LU(Tãi)
scattered_ir[iri][spi, y] = fi
scattered_ir_unpacked[spi, y] = ss.unpack_vector(fi, iri)
scattered_full[spi, y] += scattered_ir_unpacked[spi, y]
if a.save_gradually:
iriout = outfile_tmp + ".%d" % iri
np.savez(iriout, iri=iri, meta={**vars(a), 'qpms_version' : qpms.__version__()},
omega=omega, wavenumber=wavenumber, nelem=nelem, wavevector=np.array(a.wavevector), phases=phases,
positions = ss.positions[:,:2],
scattered_ir_packed = scattered_ir[iri],
scattered_ir_full = scattered_ir_unpacked,
)
logging.info("partial results saved to %s"%iriout)
t, l, m = bspec.tlm()
if not math.isnan(a.ccd_distance):
logging.info("Computing the far fields")
if math.isnan(a.ccd_size):
a.ccd_size = (50 * a.ccd_distance / (max(Nx*px, Ny*py) *ssw.wavenumber.real))
ccd_size = a.ccd_size
ccd_x = np.linspace(-ccd_size/2, ccd_size/2, a.ccd_resolution)
ccd_y = np.linspace(-ccd_size/2, ccd_size/2, a.ccd_resolution)
ccd_grid = np.meshgrid(ccd_x, ccd_y, (a.ccd_distance,), indexing='ij')
ccd_points = np.swapaxes(np.stack(ccd_grid, axis=-1).squeeze(axis=-2), 0,1) # First axis is y, second is x, because of imshow...
ccd_fields = np.empty((nsp, nelem,) + ccd_points.shape, dtype=complex)
for spi in range(nsp):
for y in range(nelem):
ccd_fields[spi, y] = ssw.scattered_E(scattered_full[spi, y], ccd_points, btyp=BesselType.HANKEL_PLUS)
logging.info("Far fields done")
outfile = defaultprefix + ".npz" if a.output is None else a.output
np.savez(outfile, meta={**vars(a), 'qpms_version' : qpms.__version__()},
omega=omega, wavenumber=wavenumber, nelem=nelem, wavevector=np.array(a.wavevector), phases=phases,
positions = ss.positions[:,:2],
scattered_ir_packed = np.array(scattered_ir, dtype=np.object),
scattered_full = scattered_full,
ir_contained = ir_contained,
t=t, l=l, m=m,
iris1 = iris1 if (a.symmetry_adapted is not None) else None,
irnames1 = ss1.irrep_names if (a.symmetry_adapted is not None) else None,
fvcs1 = fvcs1 if (a.symmetry_adapted is not None) else None,
#ccd_size = ccd_size if not math.isnan(a.ccd_distance) else None,
ccd_points = ccd_points if not math.isnan(a.ccd_distance) else None,
ccd_fields = ccd_fields if not math.isnan(a.ccd_distance) else None,
)
logging.info("Saved to %s" % outfile)
if a.plot or (a.plot_out is not None):
import matplotlib
matplotlib.use('pdf')
from matplotlib import pyplot as plt, cm
from matplotlib.backends.backend_pdf import PdfPages
t, l, m = bspec.tlm()
phasecm = cm.twilight
pmcm = cm.bwr
abscm = cm.plasma
plotfile = defaultprefix + ".pdf" if a.plot_out is None else a.plot_out
pp = PdfPages(plotfile)
for spi in range(nsp):
fig, axes = plt.subplots(nelem, 12 if math.isnan(a.ccd_distance) else 16, figsize=(figscale*(12 if math.isnan(a.ccd_distance) else 16), figscale*nelem))
for yp in range(0,3): # TODO xy-dipoles instead?
axes[0,4*yp+0].set_title("abs / (E,1,%s)" % realdipfieldlabels(yp))
axes[0,4*yp+1].set_title("arg / (E,1,%s)" % realdipfieldlabels(yp))
axes[0,4*yp+2].set_title("Fabs / (E,1,%s)" % realdipfieldlabels(yp))
axes[0,4*yp+3].set_title("Farg / (E,1,%s)" % realdipfieldlabels(yp))
if not math.isnan(a.ccd_distance):
#axes[0,12].set_title("$E_{xy}$ @ $z = %g; \phi$" % a.ccd_distance)
#axes[0,13].set_title("$E_{xy}$ @ $z = %g; \phi + \pi/2$" % a.ccd_distance)
axes[0,12].set_title("$|E_{x}|^2$ @ $z = %g\,\mathrm{m}$" % a.ccd_distance)
axes[0,13].set_title("$|E_{y}|^2$ @ $z = %g\,\mathrm{m}$" % a.ccd_distance)
axes[0,14].set_title("$|E_x + E_y|^2$ @ $z = %g\,\mathrm{m}$" % a.ccd_distance)
axes[0,15].set_title("$|E_{z}|^2$ @ $z = %g\,\mathrm{m}$" % a.ccd_distance)
for gg in range(12,16):
axes[-1,gg].set_xlabel("$x/\mathrm{m}$")
for y in range(nelem):
fulvec = scattered_full[spi,y]
if a.symmetry_adapted is not None:
driving_nonzero_y = [j for j in range(nelem) if abs(fvcs1[y,j]) > 1e-5]
driving_descr = ss1.irrep_names[iris1[y]]+'\n'+', '.join(('$'+cplx_nicestr(fvcs1[y,j])+'$' +
"(%s,%d,%+d)" % (("E" if t[j] == 2 else "M"), l[j], m[j]) for j in
driving_nonzero_y)) # TODO shorten the complex number precision
else:
driving_descr = "%s,%d,%+d"%('E' if t[y]==2 else 'M', l[y], m[y],)
axes[y,0].set_ylabel(driving_descr)
axes[y,-1].yaxis.set_label_position("right")
axes[y,-1].set_ylabel("$y/\mathrm{m}$\n"+driving_descr)
vecgrid = fullvec2grid(fulvec, swapxy=True)
vecgrid_ff = np.fft.fftshift(np.fft.fft2(vecgrid, axes=(0,1)),axes=(0,1))
lemax = np.amax(abs(vecgrid))
for yp in range(0,3):
if(np.amax(abs(realdipfields(vecgrid,yp))) > lemax*1e-5):
axes[y,yp*4].imshow(abs(realdipfields(vecgrid,yp)), vmin=0, interpolation='none')
axes[y,yp*4].text(0.5, 0.5, '%g' % np.amax(abs(realdipfields(vecgrid,yp))), horizontalalignment='center', verticalalignment='center', transform=axes[y,yp*4].transAxes)
axes[y,yp*4+1].imshow(np.angle(realdipfields(vecgrid,yp)), vmin=-np.pi, vmax=np.pi, cmap=phasecm, interpolation='none')
axes[y,yp*4+2].imshow(abs(realdipfields(vecgrid_ff,yp)), vmin=0, interpolation='none')
axes[y,yp*4+3].imshow(np.angle(realdipfields(vecgrid_ff,yp)), vmin=-np.pi, vmax=np.pi, cmap=phasecm, interpolation='none')
else:
for c in range(0,4):
axes[y,yp*4+c].tick_params(bottom=False, left=False, labelbottom=False, labelleft=False)
if not math.isnan(a.ccd_distance):
fxye=(-ccd_size/2, ccd_size/2, -ccd_size/2, ccd_size/2)
e2vmax = np.amax(np.linalg.norm(ccd_fields[spi,y], axis=-1)**2)
xint = abs(ccd_fields[spi,y,...,0])**2
yint = abs(ccd_fields[spi,y,...,1])**2
xyint = abs(ccd_fields[spi,y,...,0] + ccd_fields[spi,y,...,1])**2
zint = abs(ccd_fields[spi,y,...,2])**2
xintmax = np.amax(xint)
yintmax = np.amax(yint)
zintmax = np.amax(zint)
xyintmax = np.amax(xyint)
axes[y, 12].imshow(xint, origin="lower", extent=fxye, cmap=abscm, interpolation='none')
axes[y, 13].imshow(yint, origin="lower", extent=fxye, cmap=abscm, interpolation='none')
axes[y, 14].imshow(xyint, origin="lower", extent=fxye, cmap=abscm, interpolation='none')
axes[y, 15].imshow(zint, origin='lower', extent=fxye, cmap=abscm, interpolation='none')
axes[y, 12].text(0.5, 0.5, '%g\n%g' % (xintmax,xintmax/e2vmax),
horizontalalignment='center', verticalalignment='center', transform=axes[y,12].transAxes)
axes[y, 13].text(0.5, 0.5, '%g\n%g' % (yintmax,yintmax/e2vmax),
horizontalalignment='center', verticalalignment='center', transform=axes[y,13].transAxes)
axes[y, 14].text(0.5, 0.5, '%g\n%g' % (xyintmax,xyintmax/e2vmax),
horizontalalignment='center', verticalalignment='center', transform=axes[y,14].transAxes)
axes[y, 15].text(0.5, 0.5, '%g\n%g' % (zintmax,zintmax/e2vmax),
horizontalalignment='center', verticalalignment='center', transform=axes[y,15].transAxes)
for gg in range(12,16):
axes[y,gg].yaxis.tick_right()
for gg in range(12,15):
axes[y,gg].yaxis.set_major_formatter(plt.NullFormatter())
fig.text(0, 0, str(slicepairs[spi]), horizontalalignment='left', verticalalignment='bottom')
pp.savefig()
annotate_pdf_metadata(pp, scriptname="finiterectlat-constant-driving.py")
pp.close()
exit(0)

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@ -1,129 +0,0 @@
#!/usr/bin/env python3
import math
from qpms.argproc import ArgParser, annotate_pdf_metadata
ap = ArgParser(['rectlattice2d_finite', 'background_analytical', 'single_particle', 'single_lMax', ])
ap.add_argument("-t", "--rank-tolerance", type=float, default=1e11)
ap.add_argument("-c", "--min-candidates", type=int, default=1, help='always try at least this many eigenvalue candidates, even if their SVs in the rank tests are lower than rank_tolerance')
ap.add_argument("-T", "--residual-tolerance", type=float, default=0.)
ap.add_argument("-o", "--output", type=str, required=False, help='output path (if not provided, will be generated automatically)')
#ap.add_argument("-O", "--plot-out", type=str, required=False, help="path to plot output (optional)")
#ap.add_argument("-P", "--plot", action='store_true', help="if -p not given, plot to a default path")
#ap.add_argument("-g", "--save-gradually", action='store_true', help="saves the partial result after computing each irrep")
ap.add_argument("-f", "--centre", type=complex, required=True, help='Contour centre in eV')
ap.add_argument("--ai", type=float, default=0.05, help="Contour imaginary half-axis in eV")
ap.add_argument("--ar", type=float, default=0.05, help="Contour real half-axis in eV")
ap.add_argument("-N", type=int, default="150", help="Integration contour discretisation size")
ap.add_argument("--D2", action='store_true', help="Use D2h symmetry even if the array has square symmetry")
ap.add_argument("--irrep", type=str, default="none", help="Irrep subspace (irrep index from 0 to 7 (9 for D4h), irrep label, or 'none' for no irrep decomposition")
a=ap.parse_args()
import logging
logging.basicConfig(format='%(asctime)s %(message)s', level=logging.INFO)
Nx, Ny = a.size
px, py = a.period
thegroup = 'D4h' if px == py and Nx == Ny and not a.D2 else 'D2h'
particlestr = ("sph" if a.height is None else "cyl") + ("_r%gnm" % (a.radius*1e9))
if a.height is not None: particlestr += "_h%gnm" % (a.height * 1e9)
defaultprefix = "%s_p%gnmx%gnm_%dx%d_m%s_B%s_L%d_c(%s±%g±%gj)eV_cn%d_%s" % (
particlestr, px*1e9, py*1e9, Nx, Ny, str(a.material), str(a.background), a.lMax,
str(a.centre), a.ar, a.ai, a.N,
thegroup,
)
logging.info("Default file prefix: %s" % defaultprefix)
def inside_ellipse(point_xy, centre_xy, halfaxes_xy):
x = point_xy[0] - centre_xy[0]
y = point_xy[1] - centre_xy[1]
ax = halfaxes_xy[0]
ay = halfaxes_xy[1]
return ((x/ax)**2 + (y/ay)**2) <= 1
import numpy as np
import qpms
from qpms.cybspec import BaseSpec
from qpms.cytmatrices import CTMatrix, TMatrixGenerator
from qpms.qpms_c import Particle
from qpms.cymaterials import EpsMu, EpsMuGenerator, LorentzDrudeModel, lorentz_drude
from qpms.cycommon import DebugFlags, dbgmsg_enable
from qpms import FinitePointGroup, ScatteringSystem, BesselType, eV, hbar
from qpms.symmetries import point_group_info
eh = eV/hbar
dbgmsg_enable(DebugFlags.INTEGRATION)
#Particle positions
orig_x = (np.arange(Nx/2) + (0 if (Nx % 2) else .5)) * px
orig_y = (np.arange(Ny/2) + (0 if (Ny % 2) else .5)) * py
orig_xy = np.stack(np.meshgrid(orig_x, orig_y), axis = -1)
bspec = BaseSpec(lMax = a.lMax)
medium = EpsMuGenerator(ap.background_epsmu)
particles= [Particle(orig_xy[i], ap.tmgen, bspec) for i in np.ndindex(orig_xy.shape[:-1])]
sym = FinitePointGroup(point_group_info[thegroup])
logging.info("Creating scattering system object")
ss, ssw = ScatteringSystem.create(particles, medium, a.centre * eh, sym=sym)
if a.irrep == 'none':
iri = None # no irrep decomposition
irname = 'full'
logging.info("Not performing irrep decomposition and working with the full space of dimension %d." % ss.fecv_size)
else:
try:
iri = int(a.irrep)
except ValueError:
iri = ss.irrep_names.index(a.irrep)
irname = ss.irrep_names[iri]
logging.info("Using irrep subspace %s (iri = %d) of dimension %d." % (irname, iri, ss.saecv_sizes[iri]))
outfile_tmp = defaultprefix + ".tmp" if a.output is None else a.output + ".tmp"
logging.info("Starting Beyn's algorithm")
results = ss.find_modes(iri=iri, omega_centre = a.centre*eh, omega_rr=a.ar*eh, omega_ri=a.ai*eh, contour_points=a.N,
rank_tol=a.rank_tolerance, rank_min_sel=a.min_candidates, res_tol=a.residual_tolerance)
results['inside_contour'] = inside_ellipse((results['eigval'].real, results['eigval'].imag),
(a.centre.real*eh, a.centre.imag*eh), (a.ar*eh, a.ai*eh))
results['refractive_index_internal'] = [medium(om).n for om in results['eigval']]
outfile = defaultprefix + (('_ir%s_%s.npz' % (str(iri), irname)) if iri is not None else '.npz') if a.output is None else a.output
np.savez(outfile, meta={**vars(a), 'qpms_version' : qpms.__version__()}, **results)
logging.info("Saved to %s" % outfile)
exit(0)
# TODO plots.
if a.plot or (a.plot_out is not None):
import matplotlib
matplotlib.use('pdf')
from matplotlib import pyplot as plt
from matplotlib.backends.backend_pdf import PdfPages
fig = plt.figure()
ax = fig.add_subplot(111)
ax.plot(sinalpha_list, σ_ext*1e12,label='$\sigma_\mathrm{ext}$')
ax.plot(sinalpha_list, σ_scat*1e12, label='$\sigma_\mathrm{scat}$')
ax.plot(sinalpha_list, σ_abs*1e12, label='$\sigma_\mathrm{abs}$')
ax.legend()
ax.set_xlabel('$\sin\\alpha$')
ax.set_ylabel('$\sigma/\mathrm{\mu m^2}$')
plotfile = defaultprefix + ".pdf" if a.plot_out is None else a.plot_out
with PdfPages(plotfile) as pdf:
pdf.savefig(fig)
annotate_pdf_metadata(pdf, scriptname='finiterectlat-modes.py')
exit(0)

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@ -1,239 +0,0 @@
#!/usr/bin/env python3
from qpms.argproc import ArgParser, annotate_pdf_metadata
import math
pi = math.pi
ap = ArgParser(['rectlattice2d_finite', 'single_particle', 'single_lMax', 'omega_seq_real_ng', 'planewave'])
ap.add_argument("-o", "--output", type=str, required=False, help='output path (if not provided, will be generated automatically)')
ap.add_argument("-O", "--plot-out", type=str, required=False, help="path to plot output (optional)")
ap.add_argument("-P", "--plot", action='store_true', help="if -p not given, plot to a default path")
ap.add_argument("-g", "--save-gradually", action='store_true', help="saves the partial result after computing each irrep")
a=ap.parse_args()
import logging
logging.basicConfig(format='%(asctime)s %(message)s', level=logging.INFO)
import numpy as np
import qpms
from qpms.qpms_p import cart2sph, sph2cart, sph_loccart2cart, sph_loccart_basis
from qpms.cybspec import BaseSpec
from qpms.cytmatrices import CTMatrix, TMatrixGenerator
from qpms.qpms_c import Particle
from qpms.cymaterials import EpsMu, EpsMuGenerator, LorentzDrudeModel, lorentz_drude
from qpms.cycommon import DebugFlags, dbgmsg_enable
from qpms import FinitePointGroup, ScatteringSystem, BesselType, eV, hbar
from qpms.symmetries import point_group_info
eh = eV/hbar
dbgmsg_enable(DebugFlags.INTEGRATION)
Nx, Ny = a.size
px, py = a.period
particlestr = ("sph" if a.height is None else "cyl") + ("_r%gnm" % (a.radius*1e9))
if a.height is not None: particlestr += "_h%gnm" % (a.height * 1e9)
defaultprefix = "%s_p%gnmx%gnm_%dx%d_m%s_bg%s%gπ_θ(%g_%g)π_ψ%gπ_χ%gπ_f%s_L%d" % (
particlestr, px*1e9, py*1e9, Nx, Ny, str(a.material), str(a.background), a.phi/pi, np.amin(a.theta)/pi, np.amax(a.theta)/pi, a.psi/pi, a.chi/pi, ap.omega_descr, a.lMax, )
logging.info("Default file prefix: %s" % defaultprefix)
#Particle positions
orig_x = (np.arange(Nx/2) + (0 if (Nx % 2) else .5)) * px
orig_y = (np.arange(Ny/2) + (0 if (Ny % 2) else .5)) * py
orig_xy = np.stack(np.meshgrid(orig_x, orig_y), axis = -1)
bspec = BaseSpec(lMax = a.lMax)
particles= [Particle(orig_xy[i], ap.tmgen, bspec=bspec) for i in np.ndindex(orig_xy.shape[:-1])]
sym = FinitePointGroup(point_group_info['D2h'])
ss, ssw = ScatteringSystem.create(particles, ap.background_emg, ap.allomegas[0], sym=sym)
## Plane wave data
a.theta = np.atleast_1d(np.array(a.theta))
dir_sph_list = np.stack((np.broadcast_to(1, a.theta.shape), a.theta, np.broadcast_to(a.phi, a.theta.shape)), axis=-1)
, = math.sin(a.psi), math.cos(a.psi)
, = math.sin(a.chi), math.cos(a.chi)
E_sph = (0., * + 1j**, * + 1j**)
dir_cart_list = sph2cart(dir_sph_list)
E_cart_list = sph_loccart2cart(E_sph, dir_sph_list)
nfreq = len(ap.allomegas)
ndir = a.theta.shape[0]
k_cart_arr = np.empty((nfreq, ndir, 3), dtype=float)
wavenumbers = np.empty((nfreq,), dtype=float)
σ_ext_arr_ir = np.empty((nfreq, ndir, ss.nirreps), dtype=float)
σ_scat_arr_ir = np.empty((nfreq, ndir, ss.nirreps), dtype=float)
outfile_tmp = defaultprefix + ".tmp" if a.output is None else a.output + ".tmp"
for i, omega in enumerate(ap.allomegas):
logging.info("Processing frequency %g eV" % (omega / eV,))
if i != 0:
ssw = ss(omega)
if ssw.wavenumber.imag != 0:
warnings.warn("The background medium wavenumber has non-zero imaginary part. Don't expect emaningful results for cross sections.")
wavenumber = ssw.wavenumber.real
wavenumbers[i] = wavenumber
k_sph_list = np.array(dir_sph_list, copy=True)
k_sph_list[:,0] = wavenumber
k_cart_arr[i] = sph2cart(k_sph_list)
for iri in range(ss.nirreps):
logging.info("processing irrep %d/%d" % (iri, ss.nirreps))
LU = None # to trigger garbage collection before the next call
translation_matrix = None
LU = ssw.scatter_solver(iri)
logging.info("LU solver created")
translation_matrix = ssw.translation_matrix_packed(iri, BesselType.REGULAR) + np.eye(ss.saecv_sizes[iri])
logging.info("auxillary translation matrix created")
for j in range(ndir):
k_cart = k_cart_arr[i,j]
# the following two could be calculated only once, but probably not a big deal
ã = ss.planewave_full(k_cart=k_cart_arr[i,j], E_cart=E_cart_list[j])
= ssw.apply_Tmatrices_full(ã)
Tãi = ss.pack_vector(, iri)
ãi = ss.pack_vector(ã, iri)
fi = LU(Tãi)
σ_ext_arr_ir[i, j, iri] = -np.vdot(ãi, fi).real/wavenumber**2
σ_scat_arr_ir[i, j, iri] = np.vdot(fi,np.dot(translation_matrix, fi)).real/wavenumber**2
if a.save_gradually:
iriout = outfile_tmp + ".%d.%d" % (i, iri)
np.savez(iriout, omegai=i, iri=iri, meta={**vars(a), 'qpms_version' : qpms.__version__()}, omega=omega, k_sph=k_sph_list, k_cart = k_cart_arr, E_cart=E_cart_list, E_sph=np.array(E_sph),
wavenumber=wavenumber, σ_ext_list_ir=σ_ext_arr_ir[i,:,iri], σ_scat_list_ir=σ_scat_list_ir[i,:,iri])
logging.info("partial results saved to %s"%iriout)
σ_abs_arr_ir = σ_ext_arr_ir - σ_scat_arr_ir
σ_abs_arr = np.sum(σ_abs_arr_ir, axis=-1)
σ_scat_arr = np.sum(σ_scat_arr_ir, axis=-1)
σ_ext_arr = np.sum(σ_ext_arr_ir, axis=-1)
outfile = defaultprefix + ".npz" if a.output is None else a.output
np.savez(outfile, meta={**vars(a), 'qpms_version' : qpms.__version__()},
k_sph=k_sph_list, k_cart = k_cart_arr, E_cart=E_cart_list, E_sph=np.array(E_sph),
σ_ext=σ_ext_arr,σ_abs=σ_abs_arr,σ_scat=σ_scat_arr,
σ_ext_ir=σ_ext_arr_ir,σ_abs_ir=σ_abs_arr_ir,σ_scat_ir=σ_scat_arr_ir, omega=ap.allomegas, wavenumbers=wavenumbers
)
logging.info("Saved to %s" % outfile)
if a.plot or (a.plot_out is not None):
import matplotlib
from matplotlib.backends.backend_pdf import PdfPages
matplotlib.use('pdf')
from matplotlib import pyplot as plt
from scipy.interpolate import griddata
plotfile = defaultprefix + ".pdf" if a.plot_out is None else a.plot_out
with PdfPages(plotfile) as pdf:
ipm = 'nearest'
sintheta = np.sin(a.theta)
if False: #len(ap.omega_ranges) != 0:
# angle plot ---------------------------------
fig = plt.figure(figsize=(210/25.4, 297/25.4))
vmax = max(np.amax(σ_ext_arr), np.amax(σ_scat_arr), np.amax(σ_abs_arr))
vmin = min(np.amin(σ_ext_arr), np.amin(σ_scat_arr), np.amin(σ_abs_arr))
ax = fig.add_subplot(311)
ax.pcolormesh(a.theta, ap.allomegas/eh, σ_ext_arr, vmin=vmin, vmax=vmax)
ax.set_xlabel('$\\theta$')
ax.set_ylabel('$\\hbar\\omega / \\mathrm{eV}$')
ax.set_title('$\\sigma_\\mathrm{ext}$')
ax = fig.add_subplot(312)
ax.pcolormesh(a.theta, ap.allomegas/eh, σ_scat_arr, vmin=vmin, vmax=vmax)
ax.set_xlabel('$\\theta$')
ax.set_ylabel('$\\hbar\\omega / \\mathrm{eV}$')
ax.set_title('$\\sigma_\\mathrm{scat}$')
ax = fig.add_subplot(313)
im = ax.pcolormesh(a.theta, ap.allomegas/eh, σ_abs_arr, vmin=vmin, vmax=vmax)
ax.set_xlabel('$\\theta$')
ax.set_ylabel('$\\hbar\\omega / \\mathrm{eV}$')
ax.set_title('$\\sigma_\\mathrm{abs}$')
fig.subplots_adjust(right=0.8)
fig.colorbar(im, cax = fig.add_axes([0.85, 0.15, 0.05, 0.7]))
pdf.savefig(fig)
plt.close(fig)
if len(ap.omega_ranges) != 0:
# "k-space" plot -----------------------------
domega = np.amin(np.diff(ap.allomegas))
dsintheta = np.amin(abs(np.diff(sintheta)))
dk = dsintheta * wavenumbers[0]
# target image grid
grid_y, grid_x = np.mgrid[ap.allomegas[0] : ap.allomegas[-1] : domega, np.amin(sintheta) * wavenumbers[-1] : np.amax(sintheta) * wavenumbers[-1] : dk]
imextent = (np.amin(sintheta) * wavenumbers[-1] / 1e6, np.amax(sintheta) * wavenumbers[-1] / 1e6, ap.allomegas[0] / eh, ap.allomegas[-1] / eh)
# source coordinates for griddata
ktheta = sintheta[None, :] * wavenumbers[:, None]
omegapoints = np.broadcast_to(ap.allomegas[:, None], ktheta.shape)
points = np.stack( (ktheta.flatten(), omegapoints.flatten()), axis = -1)
fig = plt.figure(figsize=(210/25.4, 297/25.4))
vmax = np.amax(σ_ext_arr)
ax = fig.add_subplot(311)
grid_z = griddata(points, σ_ext_arr.flatten(), (grid_x, grid_y), method = ipm)
ax.imshow(grid_z, extent = imextent, origin = 'lower', vmin = 0, vmax = vmax, aspect = 'auto', interpolation='none')
ax.set_xlabel('$k_\\theta / \\mathrm{\\mu m^{-1}}$')
ax.set_ylabel('$\\hbar\\omega / \\mathrm{eV}$')
ax.set_title('$\\sigma_\\mathrm{ext}$')
ax = fig.add_subplot(312)
grid_z = griddata(points, σ_scat_arr.flatten(), (grid_x, grid_y), method = ipm)
ax.imshow(grid_z, extent = imextent, origin = 'lower', vmin = 0, vmax = vmax, aspect = 'auto', interpolation='none')
ax.set_xlabel('$k_\\theta / \\mathrm{\\mu m^{-1}}$')
ax.set_ylabel('$\\hbar\\omega / \\mathrm{eV}$')
ax.set_title('$\\sigma_\\mathrm{scat}$')
ax = fig.add_subplot(313)
grid_z = griddata(points, σ_abs_arr.flatten(), (grid_x, grid_y), method = ipm)
im = ax.imshow(grid_z, extent = imextent, origin = 'lower', vmin = 0, vmax = vmax, aspect = 'auto', interpolation='none')
ax.set_xlabel('$k_\\theta / \\mathrm{\\mu m^{-1}}$')
ax.set_ylabel('$\\hbar\\omega / \\mathrm{eV}$')
ax.set_title('$\\sigma_\\mathrm{abs}$')
fig.subplots_adjust(right=0.8)
fig.colorbar(im, cax = fig.add_axes([0.85, 0.15, 0.05, 0.7]))
pdf.savefig(fig)
plt.close(fig)
for omega in ap.omega_singles:
i = np.searchsorted(ap.allomegas, omega)
fig = plt.figure()
fig.suptitle("%g eV" % (omega / eh))
ax = fig.add_subplot(111)
sintheta = np.sin(a.theta)
ax.plot(sintheta, σ_ext_arr[i]*1e12,label='$\sigma_\mathrm{ext}$')
ax.plot(sintheta, σ_scat_arr[i]*1e12, label='$\sigma_\mathrm{scat}$')
ax.plot(sintheta, σ_abs_arr[i]*1e12, label='$\sigma_\mathrm{abs}$')
ax.legend()
ax.set_xlabel('$\sin\\theta$')
ax.set_ylabel('$\sigma/\mathrm{\mu m^2}$')
pdf.savefig(fig)
plt.close(fig)
annotate_pdf_metadata(pdf, scriptname="finiterectlat-scatter.py")
exit(0)

376
misc/finitesqlatzsym-scatter.py Executable file
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#!/usr/bin/env python3
import argparse, re, random, string, sys
import subprocess
import warnings
from scipy.constants import hbar, e as eV, pi, c
unitcell_size = 1 # rectangular lattice
unitcell_indices = tuple(range(unitcell_size))
def make_action_sharedlist(opname, listname):
class opAction(argparse.Action):
def __call__(self, parser, args, values, option_string=None):
if (not hasattr(args, listname)) or getattr(args, listname) is None:
setattr(args, listname, list())
getattr(args,listname).append((opname, values))
return opAction
parser = argparse.ArgumentParser()
#TODO? použít type=argparse.FileType('r') ?
parser.add_argument('--TMatrix', action='store', required=True, help='Path to TMatrix file')
#parser.add_argument('--griddir', action='store', required=True, help='Path to the directory with precalculated translation operators')
parser.add_argument('--output_prefix', '-p', '-o', action='store', required=True, help='Prefix to the npz output (will be appended frequency, hexside and chunkno)')
parser.add_argument('--nosuffix', action='store_true', help='Do not add dimension metadata to the output filenames')
#sizepar = parser.add_mutually_exclusive_group(required=True)
#parser.add_argument('--hexside', action='store', type=float, required=True, help='Lattice hexagon size length')
parser.add_argument('--dx', action='store', type=float, required=True, help='x-direction lattice constant')
parser.add_argument('--dy', action='store', type=float, required=True, help='y-direction lattice constant')
parser.add_argument('--Nx', '--nx', action='store', type=int, required=True, help='Lattice points in the x-direction')
parser.add_argument('--Ny', '--ny', action='store', type=int, required=True, help='Lattice points in the y-direction')
# In these default settings, the area is 2x2 times larger than first BZ
parser.add_argument('--kxmin', action='store', type=float, default=-1., help='TODO')
parser.add_argument('--kxmax', action='store', type=float, default=1., help='TODO')
parser.add_argument('--kymin', action='store', type=float, default=-1., help='TODO')
parser.add_argument('--kymax', action='store', type=float, default=1., help='TODO')
#parser.add_argument('--kdensity', action='store', type=int, default=33, help='Number of k-points per x-axis segment')
parser.add_argument('--kxdensity', action='store', type=int, default=51, help='k-space resolution in the x-direction')
parser.add_argument('--kydensity', action='store', type=int, default=51, help='k-space resolution in the y-direction')
partgrp = parser.add_mutually_exclusive_group()
partgrp.add_argument('--only_TE', action='store_true', help='Calculate only the projection on the E⟂z modes')
partgrp.add_argument('--only_TM', action='store_true', help='Calculate only the projection on the E∥z modes')
partgrp.add_argument('--serial', action='store_true', help='Calculate the TE and TM parts separately to save memory')
parser.add_argument('--nocentre', action='store_true', help='Place the coordinate origin to the left bottom corner rather that to the centre of the array')
parser.add_argument('--plot_TMatrix', action='store_true', help='Visualise TMatrix on the first page of the output')
#parser.add_argument('--SVD_output', action='store', help='Path to output singular value decomposition result')
parser.add_argument('--maxlayer', action='store', type=int, default=100, help='How far to sum the lattice points to obtain the dispersion')
parser.add_argument('--scp_to', action='store', metavar='N', type=str, help='SCP the output files to a given destination')
parser.add_argument('--background_permittivity', action='store', type=float, default=1., help='Background medium relative permittivity (default 1)')
parser.add_argument('--eVfreq', action='store', required=True, type=float, help='Frequency in eV')
parser.add_argument('--chunklen', action='store', type=int, default=3000, help='Number of k-points per output file (default 3000)')
parser.add_argument('--lMax', action='store', type=int, help='Override lMax from the TMatrix file')
#TODO some more sophisticated x axis definitions
#parser.add_argument('--gaussian', action='store', type=float, metavar='σ', help='Use a gaussian envelope for weighting the interaction matrix contributions (depending on the distance), measured in unit cell lengths (?) FIxME).')
parser.add_argument('--verbose', '-v', action='count', help='Be verbose (about computation times, mostly)')
popgrp=parser.add_argument_group(title='Operations')
popgrp.add_argument('--tr', dest='ops', action=make_action_sharedlist('tr', 'ops'), default=list()) # the default value for dest can be set once
for i in unitcell_indices:
popgrp.add_argument('--tr%d'%i, dest='ops', action=make_action_sharedlist('tr%d'%i, 'ops'))
popgrp.add_argument('--sym', dest='ops', action=make_action_sharedlist('sym', 'ops'))
for i in unitcell_indices:
popgrp.add_argument('--sym%d'%i, dest='ops', action=make_action_sharedlist('sym%d'%i, 'ops'))
#popgrp.add_argument('--mult', dest='ops', nargs=3, metavar=('INCSPEC', 'SCATSPEC', 'MULTIPLIER'), action=make_action_sharedlist('mult', 'ops'))
#popgrp.add_argument('--mult0', dest='ops', nargs=3, metavar=('INCSPEC', 'SCATSPEC', 'MULTIPLIER'), action=make_action_sharedlist('mult0', 'ops'))
#popgrp.add_argument('--mult1', dest='ops', nargs=3, metavar=('INCSPEC', 'SCATSPEC', 'MULTIPLIER'), action=make_action_sharedlist('mult1', 'ops'))
popgrp.add_argument('--multl', dest='ops', nargs=3, metavar=('INCL[,INCL,...]', 'SCATL[,SCATL,...]', 'MULTIPLIER'), action=make_action_sharedlist('multl', 'ops'))
for i in unitcell_indices:
popgrp.add_argument('--multl%d'%i, dest='ops', nargs=3, metavar=('INCL[,INCL,...]', 'SCATL[,SCATL,...]', 'MULTIPLIER'), action=make_action_sharedlist('multl%d'%i, 'ops'))
#popgrp.add_argument('--multl1', dest='ops', nargs=3, metavar=('INCL[,INCL,...]', 'SCATL[,SCATL,...]', 'MULTIPLIER'), action=make_action_sharedlist('multl1', 'ops'))
parser.add_argument('--frequency_multiplier', action='store', type=float, default=1., help='Multiplies the frequencies in the TMatrix file by a given factor.')
# TODO enable more flexible per-sublattice specification
pargs=parser.parse_args()
if pargs.verbose:
print(pargs, file = sys.stderr)
maxlayer=pargs.maxlayer
eVfreq = pargs.eVfreq
freq = eVfreq*eV/hbar
verbose=pargs.verbose
dy = pargs.dy
dx = pargs.dx
Ny = pargs.Ny
Nx = pargs.Nx
TMatrix_file = pargs.TMatrix
epsilon_b = pargs.background_permittivity #2.3104
#gaussianSigma = pargs.gaussian if pargs.gaussian else None # hexside * 222 / 7
interpfreqfactor = pargs.frequency_multiplier
scp_dest = pargs.scp_to if pargs.scp_to else None
kxdensity = pargs.kxdensity
kydensity = pargs.kydensity
chunklen = pargs.chunklen
ops = list()
opre = re.compile('(tr|sym|copy|multl|mult)(\d*)')
for oparg in pargs.ops:
opm = opre.match(oparg[0])
if opm:
ops.append(((opm.group(2),) if opm.group(2) else unitcell_indices, opm.group(1), oparg[1]))
else:
raise # should not happen
if(verbose):
print(ops, file = sys.stderr)
# -----------------finished basic CLI parsing (except for op arguments) ------------------
from qpms.timetrack import _time_b, _time_e
btime=_time_b(verbose)
import qpms
import numpy as np
import os, warnings, math
from scipy import interpolate
nx = None
s3 = math.sqrt(3)
# specifikace T-matice zde
refind = math.sqrt(epsilon_b)
cdn = c / refind
k_0 = freq * refind / c # = freq / cdn
TMatrices_orig, freqs_orig, freqs_weirdunits_orig, lMaxTM = qpms.loadScuffTMatrices(TMatrix_file)
lMax = lMaxTM
if pargs.lMax:
lMax = pargs.lMax if pargs.lMax else lMaxTM
my, ny = qpms.get_mn_y(lMax)
nelem = len(my)
if pargs.lMax: #force commandline specified lMax
TMatrices_orig = TMatrices_orig[...,0:nelem,:,0:nelem]
TMatrices = np.array(np.broadcast_to(TMatrices_orig[:,nx,:,:,:,:],(len(freqs_orig),unitcell_size,2,nelem,2,nelem)) )
xfl = qpms.xflip_tyty(lMax)
yfl = qpms.yflip_tyty(lMax)
zfl = qpms.zflip_tyty(lMax)
c2rot = qpms.apply_matrix_left(qpms.yflip_yy(3),qpms.xflip_yy(3),-1)
reCN = re.compile('(\d*)C(\d+)')
#TODO C nekonečno
for op in ops:
if op[0] == 'all':
#targets = (0,1)
targets = unitcell_indices
elif isinstance(op[0],int):
targets = (op[0],)
else:
targets = op[0]
if op[1] == 'sym':
mCN = reCN.match(op[2]) # Fuck van Rossum for not having assignments inside expressions
if op[2] == 'σ_z':
for t in targets:
TMatrices[:,t] = (TMatrices[:,t] + qpms.apply_ndmatrix_left(zfl,qpms.apply_ndmatrix_left(zfl, TMatrices[:,t], (-4,-3)),(-2,-1)))/2
elif op[2] == 'σ_y':
for t in targets:
TMatrices[:,t] = (TMatrices[:,t] + qpms.apply_ndmatrix_left(yfl,qpms.apply_ndmatrix_left(yfl, TMatrices[:,t], (-4,-3)),(-2,-1)))/2
elif op[2] == 'σ_x':
for t in targets:
TMatrices[:,t] = (TMatrices[:,t] + qpms.apply_ndmatrix_left(xfl,qpms.apply_ndmatrix_left(xfl, TMatrices[:,t], (-4,-3)),(-2,-1)))/2
elif op[2] == 'C2': # special case of the latter
for t in targets:
TMatrices[:,t] = (TMatrices[:,t] + qpms.apply_matrix_left(c2rot,qpms.apply_matrix_left(c2rot, TMatrices[:,t], -3),-1))/2
elif mCN:
rotN = int(mCN.group(2))
TMatrix_contribs = np.empty((rotN,TMatrices.shape[0],2,nelem,2,nelem), dtype=np.complex_)
for t in targets:
for i in range(rotN):
rotangle = 2*np.pi*i / rotN
rot = qpms.WignerD_yy_fromvector(lMax,np.array([0,0,rotangle]))
rotinv = qpms.WignerD_yy_fromvector(lMax,np.array([0,0,-rotangle]))
TMatrix_contribs[i] = qpms.apply_matrix_left(rot,qpms.apply_matrix_left(rotinv, TMatrices[:,t], -3),-1)
TMatrices[:,t] = np.sum(TMatrix_contribs, axis=0) / rotN
else:
raise
elif op[1] == 'tr':
mCN = reCN.match(op[2]) # Fuck van Rossum for not having assignments inside expressions
if op[2] == 'σ_z':
for t in targets:
TMatrices[:,t] = qpms.apply_ndmatrix_left(zfl,qpms.apply_ndmatrix_left(zfl, TMatrices[:,t], (-4,-3)),(-2,-1))
elif op[2] == 'σ_y':
for t in targets:
TMatrices[:,t] = qpms.apply_ndmatrix_left(yfl,qpms.apply_ndmatrix_left(yfl, TMatrices[:,t], (-4,-3)),(-2,-1))
elif op[2] == 'σ_x':
for t in targets:
TMatrices[:,t] = qpms.apply_ndmatrix_left(xfl,qpms.apply_ndmatrix_left(xfl, TMatrices[:,t], (-4,-3)),(-2,-1))
elif op[2] == 'C2':
for t in targets:
TMatrices[:,t] = qpms.apply_matrix_left(c2rot,qpms.apply_matrix_left(c2rot, TMatrices[:,t], -3),-1)
elif mCN:
rotN = int(mCN.group(2))
power = int(mCN.group(1)) if mCN.group(1) else 1
TMatrix_contribs = np.empty((rotN,TMatrices.shape[0],2,nelem,2,nelem), dtype=np.complex_)
for t in targets:
rotangle = 2*np.pi*power/rotN
rot = qpms.WignerD_yy_fromvector(lMax, np.array([0,0,rotangle]))
rotinv = qpms.WignerD_yy_fromvector(lMax, np.array([0,0,-rotangle]))
TMatrices[:,t] = qpms.apply_matrix_left(rot, qpms.apply_matrix_left(rotinv, TMatrices[:,t], -3),-1)
else:
raise
elif op[1] == 'copy':
raise # not implemented
elif op[1] == 'mult':
raise # not implemented
elif op[1] == 'multl':
incy = np.full((nelem,), False, dtype=bool)
for incl in op[2][0].split(','):
l = int(incl)
incy += (l == ny)
scaty = np.full((nelem,), False, dtype=bool)
for scatl in op[2][1].split(','):
l = int(scatl)
scaty += (l == ny)
for t in targets:
TMatrices[np.ix_(np.arange(TMatrices.shape[0]),np.array([t]),np.array([0,1]),scaty,np.array([0,1]),incy)] *= float(op[2][2])
else:
raise #unknown operation; should not happen
TMatrices_interp = interpolate.interp1d(freqs_orig*interpfreqfactor, TMatrices, axis=0, kind='linear',fill_value="extrapolate")
xpositions = np.arange(Nx) * dx
ypositions = np.arange(Ny) * dy
if not pargs.nocentre:
xpositions -= Nx * dx / 2
ypositions -= Ny * dy / 2
xpositions, ypositions = np.meshgrid(xpositions, ypositions, indexing='ij', copy=False)
positions=np.stack((xpositions.ravel(),ypositions.ravel()), axis=-1)
positions=positions[np.random.permutation(len(positions))]
N = positions.shape[0]
kx = np.linspace(pargs.kxmin, pargs.kxmax, num=pargs.kxdensity, endpoint=True) * 2*np.pi / dx
ky = np.linspace(pargs.kymin, pargs.kymax, num=pargs.kydensity, endpoint=True) * 2*np.pi / dy
kx, ky = np.meshgrid(kx, ky, indexing='ij', copy=False)
kz = np.sqrt(k_0**2 - (kx ** 2 + ky ** 2))
klist_full = np.stack((kx,ky,kz), axis=-1).reshape((-1,3))
TMatrices_om = TMatrices_interp(freq)
chunkn = math.ceil(klist_full.size / 3 / chunklen)
if verbose:
print('Evaluating %d k-points' % klist_full.size + ('in %d chunks'%chunkn) if chunkn>1 else '' , file = sys.stderr)
sys.stderr.flush()
try:
version = qpms.__version__
except NameError:
version = None
metadata = np.array({
'script': os.path.basename(__file__),
'version': version,
'type' : 'Plane wave scattering on a finite rectangular lattice',
'lMax' : lMax,
'dx' : dx,
'dy' : dy,
'Nx' : Nx,
'Ny' : Ny,
#'maxlayer' : maxlayer,
#'gaussianSigma' : gaussianSigma,
'epsilon_b' : epsilon_b,
#'hexside' : hexside,
'chunkn' : chunkn,
'chunki' : 0,
'TMatrix_file' : TMatrix_file,
'ops' : ops,
'centred' : not pargs.nocentre
})
scat = qpms.Scattering_2D_zsym(positions, TMatrices_om, k_0, verbose=verbose)
if pargs.only_TE:
actions = (0,)
elif pargs.only_TM:
actions = (1,)
elif pargs.serial:
actions = (0,1)
else:
actions = (None,)
xu = np.array((1,0,0))
yu = np.array((0,1,0))
zu = np.array((0,0,1))
TEč, TMč = qpms.symz_indexarrays(lMax)
klist_full_2D = klist_full[...,:2]
klist_full_dir = klist_full/np.linalg.norm(klist_full, axis=-1, keepdims=True)
for action in actions:
if action is None:
scat.prepare(verbose=verbose)
actionstring = ''
else:
scat.prepare_partial(action, verbose=verbose)
actionstring = '.TM' if action else '.TE'
for chunki in range(chunkn):
sbtime = _time_b(verbose, step='Solving the scattering problem, chunk %d'%chunki+actionstring)
if pargs.nosuffix:
outfile = pargs.output_prefix + actionstring + (
('.%03d' % chunki) if chunkn > 1 else '')
else:
outfile = '%s_%dx%d_%.0fnmx%.0fnm_%.4f%s%s.npz' % (
pargs.output_prefix, Nx, Ny, dx/1e-9, dy/1e-9,
eVfreq, actionstring,
(".%03d" % chunki) if chunkn > 1 else '')
klist = klist_full[chunki * chunklen : (chunki + 1) * chunklen]
klist2d = klist_full_2D[chunki * chunklen : (chunki + 1) * chunklen]
klistdir = klist_full_dir[chunki * chunklen : (chunki + 1) * chunklen]
'''
The following loop is a fuckup that has its roots in the fact that
the function qpms.get_π̃τ̃_y1 in qpms_p.py is not vectorized
(and consequently, neither is plane_pq_y.)
And Scattering_2D_zsym.scatter_partial is not vectorized, either.
'''
if action == 0 or action is None:
xresult = np.full((klist.shape[0], N, nelem), np.nan, dtype=complex)
yresult = np.full((klist.shape[0], N, nelem), np.nan, dtype=complex)
if action == 1 or action is None:
zresult = np.full((klist.shape[0], N, nelem), np.nan, dtype=complex)
for i in range(klist.shape[0]):
if math.isnan(klist[i,2]):
if(verbose):
print("%d. momentum %s invalid (k_0=%f), skipping" % (i, str(klist[i]),k_0))
continue
kdir = klistdir[i]
phases = np.exp(-1j*np.sum(klist2d[i] * positions, axis=-1))
if action == 0 or action is None:
pq = np.array(qpms.plane_pq_y(lMax, kdir, xu)).ravel()[TEč] * phases[:, nx]
xresult[i] = scat.scatter_partial(0, pq)
pq = np.array(qpms.plane_pq_y(lMax, kdir, yu)).ravel()[TEč] * phases[:, nx]
yresult[i] = scat.scatter_partial(0, pq)
if action == 1 or action is None:
pq = np.array(qpms.plane_pq_y(lMax, kdir, zu)).ravel()[TMč] * phases[:, nx]
zresult[i] = scat.scatter_partial(1, pq)
_time_e(sbtime, verbose, step='Solving the scattering problem, chunk %d'%chunki+actionstring)
metadata[()]['chunki'] = chunki
if action is None:
np.savez(outfile, omega = freq, klist = klist,
metadata=metadata,
positions=positions,
ab_x=xresult,
ab_y=yresult,
ab_z=zresult
)
elif action == 0:
np.savez(outfile, omega = freq, klist = klist,
metadata=metadata,
positions=positions,
ab_x=xresult,
ab_y=yresult,
)
elif action == 1:
np.savez(outfile, omega = freq, klist = klist,
metadata=metadata,
positions=positions,
ab_z=zresult
)
else:
raise
if scp_dest:
if outfile:
subprocess.run(['scp', outfile, scp_dest])
scat.forget_matrices() # free memory in case --serial was used
_time_e(btime, verbose)

340
misc/generaldisp.py Executable file
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#!/usr/bin/env python3
'''
Bulk SVD mode computation for compact scatterer 2D lattices
'''
__TODOs__ = '''
BIG TODO: Use more efficient way to calculate the interaction sums: perhaps some customized Ewald-type summation?
Small TODOs:
- Implement a more user-friendly way to define the lattice base vectors and positions of the particles.
cf. https://stackoverflow.com/questions/2371436/evaluating-a-mathematical-expression-in-a-string/2371789
- low priority: allow to perform some more custom operations on T-Matrix, using some kind of parsing from the previous point
- Autodetect symmetries
'''
import argparse, re, random, string
import subprocess
from scipy.constants import hbar, e as eV, pi, c
import warnings
def make_action_sharedlist(opname, listname):
class opAction(argparse.Action):
def __call__(self, parser, args, values, option_string=None):
if (not hasattr(args, listname)) or getattr(args, listname) is None:
setattr(args, listname, list())
getattr(args,listname).append((opname, values))
return opAction
parser = argparse.ArgumentParser()
#TODO? použít type=argparse.FileType('r') ?
#TODO create some user-friendlier way to define lattice vectors, cf. https://stackoverflow.com/questions/2371436/evaluating-a-mathematical-expression-in-a-string/2371789
parser.add_argument('--lattice_base', nargs=4, action='store', type=float, required=True, help='Lattice basis vectors x1, y1, x2, y2')
parser.add_argument('--particle', '-p', nargs='+', action=make_action_sharedlist('particle', 'particlespec'), help='Particle label, coordinates x,y, and (optionally) path to the T-Matrix.')
parser.add_argument('--TMatrix', '-t', nargs='+', action=make_action_sharedlist('TMatrix_path', 'particlespec'), help='Path to TMatrix file')
#parser.add_argument('--griddir', action='store', required=True, help='Path to the directory with precalculated translation operators')
parser.add_argument('--output_prefix', action='store', required=True, help='Prefix to the npz output (will be appended frequency, hexside and chunkno)')
#sizepar = parser.add_mutually_exclusive_group(required=True)
#DEL parser.add_argument('--hexside', action='store', type=float, required=True, help='Lattice hexagon size length')
parser.add_argument('--plot_TMatrix', action='store_true', help='Visualise TMatrix on the first page of the output')
#parser.add_argument('--SVD_output', action='store', help='Path to output singular value decomposition result')
parser.add_argument('--maxlayer', action='store', type=int, default=100, help='How far to sum the lattice points to obtain the dispersion')
parser.add_argument('--scp_to', action='store', metavar='N', type=str, help='SCP the output files to a given destination')
parser.add_argument('--background_permittivity', action='store', type=float, default=1., help='Background medium relative permittivity (default 1)')
parser.add_argument('--eVfreq', action='store', required=True, type=float, help='Frequency in eV')
parser.add_argument('--kdensity', '--k_density', action='store', type=int, default=33, help='Number of k-points per x-axis segment FIXME DESCRIPTION')
parser.add_argument('--bz_coverage', action='store', type=float, default=1., help='Brillouin zone coverage in relative length (default 1 for whole 1. BZ)')
parser.add_argument('--bz_edge_width', action='store', type=float, default=0., help='Width of the more densely covered belt along the 1. BZ edge in relative lengths')
parser.add_argument('--bz_edge_factor', action='store', type=float, default=8., help='Relative density of the belt along the 1. BZ edge w.r.t. k_density (default==8)')
parser.add_argument('--bz_edge_twoside', action='store_true', help='Compute also the parts of the densely covered edge belt outside the 1. BZ')
parser.add_argument('--bz_corner_width', action='store', type=float, default=0., help='Size of the more densely covered subcell along the 1. BZ corners in relative lengths')
parser.add_argument('--bz_corner_factor', action='store', type=float, default=16., help='Relative density of the subcell along the 1. BZ corner w.r.t. k_density (default==16)')
parser.add_argument('--bz_corner_twoside', action='store_true', help='Compute also the parts of the densely covered subcell outside the 1. BZ')
parser.add_argument('--chunklen', action='store', type=int, default=1000, help='Number of k-points per output file (default 1000)')
parser.add_argument('--lMax', action=make_action_sharedlist('lMax', 'particlespec'), nargs=+, help='Override lMax from the TMatrix file')
#TODO some more sophisticated x axis definitions
parser.add_argument('--gaussian', action='store', type=float, metavar='σ', help='Use a gaussian envelope for weighting the interaction matrix contributions (depending on the distance), measured in unit cell lengths (?) FIxME).')
parser.add_argument('--verbose', '-v', action='count', help='Be verbose (about computation times, mostly)')
popgrp=parser.add_argument_group(title='Operations')
popgrp.add_argument('--tr', dest='ops', nargs='+', action=make_action_sharedlist('tr', 'ops'), default=list()) # the default value for dest can be set once
popgrp.add_argument('--sym', dest='ops', nargs='+', action=make_action_sharedlist('sym', 'ops'))
#popgrp.add_argument('--mult', dest='ops', nargs=3, metavar=('INCSPEC', 'SCATSPEC', 'MULTIPLIER'), action=make_action_sharedlist('mult', 'ops'))
#popgrp.add_argument('--multl', dest='ops', nargs=3, metavar=('INCL[,INCL,...]', 'SCATL[,SCATL,...]', 'MULTIPLIER'), action=make_action_sharedlist('multl', 'ops'))
parser.add_argument('--frequency_multiplier', action='store', type=float, default=1., help='Multiplies the frequencies in the TMatrix file by a given factor.')
pargs=parser.parse_args()
print(pargs)
exit(0) ###
maxlayer=pargs.maxlayer
#DEL hexside=pargs.hexside
eVfreq = pargs.eVfreq
freq = eVfreq*eV/hbar
verbose=pargs.verbose
#DEL TMatrix_file = pargs.TMatrix
epsilon_b = pargs.background_permittivity #2.3104
gaussianSigma = pargs.gaussian if pargs.gaussian else None # hexside * 222 / 7
interpfreqfactor = pargs.frequency_multiplier
scp_dest = pargs.scp_to if pargs.scp_to else None
kdensity = pargs.kdensity
chunklen = pargs.chunklen
#### Nanoparticle position and T-matrix path parsing ####
TMatrix_paths = dict()
lMax_overrides = dict()
default_TMatrix_path = None
default_lMax_override = None
if not any((arg_type == 'particle') in (arg_type, arg_content) for in pargs.particlespec):
# no particles positions given: suppose only one per unit cell, in the cell origin
positions = {None: (0.0)}
else:
positions = dict()
for arg_type, arg_content in pargs.particlespec:
if arg_type == 'particle' # --particle option
if 3 <= len(arg_content) <= 4:
try:
positions[arg_content[0]] = (float(arg_content[1]), float(arg_content[2]))
except ValueError as e:
e.args += ("second and third argument of --particle must be valid floats, given: ", arg_content)
raise
if len(arg_content == 4):
if arg_content[0] in TMatrix_paths:
warnings.warn('T-matrix path for particle \'%s\' already specified.'
'Overriding with the last value.' % arg_content[0], SyntaxWarning)
TMatrix_paths[arg_content[0]] = arg_content[3]
else:
raise ValueError("--particle expects 3 or 4 arguments, %d given: " % len(arg_content), arg_content)
elif arg_type == 'TMatrix_path': # --TMatrix option
if len(arg_content) == 1: # --TMatrix default_path
if default_TMatrix_path is not None:
warnings.warn('Default T-matrix path already specified. Overriding with the last value.', SyntaxWarning)
default_TMatrix_path = arg_content[0]
elif len(arg_content) > 1: # --TMatrix label [label2 [...]] path
for label in arg_content[:-1]:
if label in TMatrix_paths.keys():
warnings.warn('T-matrix path for particle \'%s\' already specified.'
'Overriding with the last value.' % label, SyntaxWarning)
TMatrix_paths[label] = arg_content[-1]
elif arg_type == 'lMax': # --lMax option
if len(arg_content) == 1: # --lMax default_lmax_override
if default_lMax_override is not None:
warnings.warn('Default lMax override value already specified. Overriding the last value.', SyntaxWarning)
default_lMax_override = int(arg_content[-1])
else:
for label in arg_content[:-1]:
if label in lMax_overrides.keys:
warnings.warn('lMax override for particle \'%s\' already specified.'
'overriding with the last value.' % label, SyntaxWarning)
lMax_overrides[label] = int(arg_content[-1])
else: assert False, 'unknown option type'
# Check the info from positions and TMatrix_paths and lMax_overrides
if not set(TMatrix_paths.keys()) <= set(positions.keys()):
raise ValueError("T-Matrix path(s) for particle(s) labeled %s was given, but not their positions"
% str(set(TMatrix_paths.keys()) - set(positions.keys())))
if not set(lMax_overrides.keys()) <= set(positions.keys()):
raise ValueError("lMax override(s) for particle(s) labeled %s was given, but not their positions"
%str(set(lMax_overrides.keys()) - set(positions.keys())))
if (set(TMatrix_paths.keys()) != set(positions.keys())) and default_TMatrix_path is None:
raise ValueError("Position(s) of particles(s) labeled %s was given without their T-matrix"
" and no default T-matrix was specified"
% str(set(positions.keys()) - set(TMatrix_paths_keys())))
for path in TMatrix_paths.values():
if not os.path.exists(path):
raise ValueError("Cannot access T-matrix file %s. Does it exist?" % path)
# Assign (pre-parse) the T-matrix operations to individual particles
ops = dict()
for label in positions.keys(): ops[label] = list()
for optype, arg_content in pargs.ops:
# if, no label given, apply to all, otherwise on the specifield particles
for label in (positions.keys() if len(arg_content) == 1 else arg_content[:-1]):
try:
ops[label].append((optype, arg_content[-1]))
except KeyError as e:
e.args += 'Specified operation on undefined particle labeled \'%s\'' % label
raise
print(sys.stderr, "ops: ", ops) #DEBUG
#### Collect all the info about the particles / their T-matrices into one list ####
# Enumerate and assign all the _different_ T-matrices (without any intelligent group-theory checking, though)
TMatrix_specs = dict((spec, number)
for (number, spec) in enumerate(set(
(lMax_overrides[label] if label in lMax_overrides.keys() else None,
TMatrix_paths[label],
tuple(ops[label]))
for label in positions.keys()
)))
# particles_specs contains (label, (xpos, ypos), tmspec_index per element)
particles_specs = [(label, positions(label),
TMatrix_specs[(lMax_overrides[label] if label in lMax_overrides.keys() else None,
TMatrix_paths[label],
tuple(ops[label]))]
) for label in positions.keys()]
# -----------------finished basic CLI parsing (except for op arguments) ------------------
from qpms.timetrack import _time_b, _time_e
btime=_time_b(verbose)
import qpms
import numpy as np
import os, sys, warnings, math
from scipy import interpolate
nx = None
s3 = math.sqrt(3)
# specifikace T-matice zde
cdn = c/ math.sqrt(epsilon_b)
TMatrices_orig, freqs_orig, freqs_weirdunits_orig, lMaxTM = qpms.loadScuffTMatrices(TMatrix_file)
lMax = lMaxTM
if pargs.lMax:
lMax = pargs.lMax if pargs.lMax else lMaxTM
my, ny = qpms.get_mn_y(lMax)
nelem = len(my)
if pargs.lMax: #force commandline specified lMax
TMatrices_orig = TMatrices_orig[...,0:nelem,:,0:nelem]
TMatrices = np.array(np.broadcast_to(TMatrices_orig[:,nx,:,:,:,:],(len(freqs_orig),2,2,nelem,2,nelem)) )
#TMatrices[:,:,:,:,:,ny==3] *= factor13inc
#TMatrices[:,:,:,ny==3,:,:] *= factor13scat
xfl = qpms.xflip_tyty(lMax)
yfl = qpms.yflip_tyty(lMax)
zfl = qpms.zflip_tyty(lMax)
c2rot = qpms.apply_matrix_left(qpms.yflip_yy(3),qpms.xflip_yy(3),-1)
reCN = re.compile('(\d*)C(\d+)')
#TODO C nekonečno
for op in ops:
if op[0] == 'all':
targets = (0,1)
elif isinstance(op[0],int):
targets = (op[0],)
else:
targets = op[0]
if op[1] == 'sym':
mCN = reCN.match(op[2]) # Fuck van Rossum for not having assignments inside expressions
if op[2] == 'σ_z':
for t in targets:
TMatrices[:,t] = (TMatrices[:,t] + qpms.apply_ndmatrix_left(zfl,qpms.apply_ndmatrix_left(zfl, TMatrices[:,t], (-4,-3)),(-2,-1)))/2
elif op[2] == 'σ_y':
for t in targets:
TMatrices[:,t] = (TMatrices[:,t] + qpms.apply_ndmatrix_left(yfl,qpms.apply_ndmatrix_left(yfl, TMatrices[:,t], (-4,-3)),(-2,-1)))/2
elif op[2] == 'σ_x':
for t in targets:
TMatrices[:,t] = (TMatrices[:,t] + qpms.apply_ndmatrix_left(xfl,qpms.apply_ndmatrix_left(xfl, TMatrices[:,t], (-4,-3)),(-2,-1)))/2
elif op[2] == 'C2': # special case of the latter
for t in targets:
TMatrices[:,t] = (TMatrices[:,t] + qpms.apply_matrix_left(c2rot,qpms.apply_matrix_left(c2rot, TMatrices[:,t], -3),-1))/2
elif mCN:
rotN = int(mCN.group(2))
TMatrix_contribs = np.empty((rotN,TMatrices.shape[0],2,nelem,2,nelem), dtype=np.complex_)
for t in targets:
for i in range(rotN):
rotangle = 2*np.pi*i / rotN
rot = qpms.WignerD_yy_fromvector(lMax,np.array([0,0,rotangle]))
rotinv = qpms.WignerD_yy_fromvector(lMax,np.array([0,0,-rotangle]))
TMatrix_contribs[i] = qpms.apply_matrix_left(rot,qpms.apply_matrix_left(rotinv, TMatrices[:,t], -3),-1)
TMatrices[:,t] = np.sum(TMatrix_contribs, axis=0) / rotN
else:
raise ValueError('\'%d\' is not an implemented symmetry operation' % op[2])
elif op[1] == 'tr':
mCN = reCN.match(op[2]) # Fuck van Rossum for not having assignments inside expressions
if op[2] == 'σ_z':
for t in targets:
TMatrices[:,t] = qpms.apply_ndmatrix_left(zfl,qpms.apply_ndmatrix_left(zfl, TMatrices[:,t], (-4,-3)),(-2,-1))
elif op[2] == 'σ_y':
for t in targets:
TMatrices[:,t] = qpms.apply_ndmatrix_left(yfl,qpms.apply_ndmatrix_left(yfl, TMatrices[:,t], (-4,-3)),(-2,-1))
elif op[2] == 'σ_x':
for t in targets:
TMatrices[:,t] = qpms.apply_ndmatrix_left(xfl,qpms.apply_ndmatrix_left(xfl, TMatrices[:,t], (-4,-3)),(-2,-1))
elif op[2] == 'C2':
for t in targets:
TMatrices[:,t] = qpms.apply_matrix_left(c2rot,qpms.apply_matrix_left(c2rot, TMatrices[:,t], -3),-1)
elif mCN:
rotN = int(mCN.group(2))
power = int(mCN.group(1)) if mCN.group(1) else 1
TMatrix_contribs = np.empty((rotN,TMatrices.shape[0],2,nelem,2,nelem), dtype=np.complex_)
for t in targets:
rotangle = 2*np.pi*power/rotN
rot = qpms.WignerD_yy_fromvector(lMax, np.array([0,0,rotangle]))
rotinv = qpms.WignerD_yy_fromvector(lMax, np.array([0,0,-rotangle]))
TMatrices[:,t] = qpms.apply_matrix_left(rot, qpms.apply_matrix_left(rotinv, TMatrices[:,t], -3),-1)
else:
raise ValueError('\'%d\' is not an implemented T-matrix transformation operation' % op[2])
elif op[1] == 'copy':
raise # not implemented
elif op[1] == 'mult':
raise # not implemented
elif op[1] == 'multl':
incy = np.full((nelem,), False, dtype=bool)
for incl in op[2][0].split(','):
l = int(incl)
incy += (l == ny)
scaty = np.full((nelem,), False, dtype=bool)
for scatl in op[2][1].split(','):
l = int(scatl)
scaty += (l == ny)
for t in targets:
TMatrices[np.ix_(np.arange(TMatrices.shape[0]),np.array([t]),np.array([0,1]),scaty,np.array([0,1]),incy)] *= float(op[2][2])
else:
raise #unknown operation; should not happen
TMatrices_interp = interpolate.interp1d(freqs_orig*interpfreqfactor, TMatrices, axis=0, kind='linear',fill_value="extrapolate")
klist_full = qpms.generate_trianglepoints(kdensity, v3d=True, include_origin=True)*3*math.pi/(3*kdensity*hexside)
TMatrices_om = TMatrices_interp(freq)
chunkn = math.ceil(klist_full.shape[0] / chunklen)
if verbose:
print('Evaluating %d k-points in %d chunks' % (klist_full.shape[0], chunkn), file = sys.stderr)
sys.stderr.flush()
metadata = np.array({
'lMax' : lMax,
'maxlayer' : maxlayer,
'gaussianSigma' : gaussianSigma,
'epsilon_b' : epsilon_b,
'hexside' : hexside,
'chunkn' : chunkn,
'TMatrix_file' : TMatrix_file,
'ops' : ops,
})
for chunki in range(chunkn):
svdout = '%s_%dnm_%.4f_c%03d.npz' % (pargs.output_prefix, hexside/1e-9, eVfreq, chunki)
klist = klist_full[chunki * chunklen : (chunki + 1) * chunklen]
svdres = qpms.hexlattice_zsym_getSVD(lMax=lMax, TMatrices_om=TMatrices_om, epsilon_b=epsilon_b, hexside=hexside, maxlayer=maxlayer,
omega=freq, klist=klist, gaussianSigma=gaussianSigma, onlyNmin=False, verbose=verbose)
#((svUfullTElist, svSfullTElist, svVfullTElist), (svUfullTMlist, svSfullTMlist, svVfullTMlist)) = svdres
np.savez(svdout, omega = freq, klist = klist,
metadata=metadata,
uTE = svdres[0][0],
vTE = svdres[0][2],
sTE = svdres[0][1],
uTM = svdres[1][0],
vTM = svdres[1][2],
sTM = svdres[1][1],
)
svdres=None
if scp_dest:
if svdout:
subprocess.run(['scp', svdout, scp_dest])
_time_e(btime, verbose)
#print(time.strftime("%H.%M:%S",time.gmtime(time.time()-begtime)))

35
misc/iht-saving.py Normal file
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import qpms
import numpy as np
from numpy import newaxis as nx
import math
import cmath
import os
from scipy.constants import c, e as eV, hbar
s3 = math.sqrt(3)
import argparse
parser = argparse.ArgumentParser()
parser.add_argument("omega")
#parser.add_argument("maxlayer")
args = parser.parse_args()
omega_eV = float(args.omega)
print(omega_eV)
epsilon_b = 2.3104
hexside = 375e-9
lMax = 3
maxlayer = 222
my, ny = qpms.get_mn_y(lMax)
nelem = len(my)
omega = omega_eV * eV / hbar
k_0 = omega * math.sqrt(epsilon_b) / c
output_prefix = '/tmp/diracpoints-newdata2/%d/' % maxlayer
os.makedirs(output_prefix, exist_ok=True)
qpms.hexlattice_precalc_AB_save(file=output_prefix+str(omega_eV), lMax=lMax, k_hexside=k_0*hexside,
maxlayer=maxlayer, savepointinfo=True)

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@ -1,128 +0,0 @@
#!/usr/bin/env python3
import math
from qpms.argproc import ArgParser, annotate_pdf_metadata
ap = ArgParser(['rectlattice2d', 'single_particle', 'single_lMax', 'omega_seq'])
ap.add_argument("-o", "--output", type=str, required=False, help='output path (if not provided, will be generated automatically)')
ap.add_argument("-O", "--plot-out", type=str, required=False, help="path to plot output (optional)")
ap.add_argument("-P", "--plot", action='store_true', help="if -p not given, plot to a default path")
ap.add_argument("-s", "--singular_values", type=int, default=10, help="Number of singular values to plot")
ap.add_argument("--D2", action='store_true', help="Use D2h symmetry even if the x and y periods are equal")
a=ap.parse_args()
import logging
logging.basicConfig(format='%(asctime)s %(message)s', level=logging.INFO)
px, py = a.period
#Important! The particles are supposed to be of D2h/D4h symmetry
thegroup = 'D4h' if px == py and not a.D2 else 'D2h'
particlestr = ("sph" if a.height is None else "cyl") + ("_r%gnm" % (a.radius*1e9))
if a.height is not None: particlestr += "_h%gnm" % (a.height * 1e9)
defaultprefix = "%s_p%gnmx%gnm_m%s_bg%s_f(%g..%g..%g)eV_L%d_SVGamma" % (
particlestr, px*1e9, py*1e9, str(a.material), str(a.background), *(a.eV_seq), a.lMax)
logging.info("Default file prefix: %s" % defaultprefix)
import numpy as np
import qpms
import warnings
from qpms.cybspec import BaseSpec
from qpms.cytmatrices import CTMatrix, TMatrixGenerator
from qpms.qpms_c import Particle, pgsl_ignore_error
from qpms.cymaterials import EpsMu, EpsMuGenerator, LorentzDrudeModel, lorentz_drude
from qpms.cycommon import DebugFlags, dbgmsg_enable
from qpms import FinitePointGroup, ScatteringSystem, BesselType, eV, hbar
from qpms.symmetries import point_group_info
eh = eV/hbar
# not used; TODO:
irrep_labels = {"B2''":"$B_2''$",
"B2'":"$B_2'$",
"A1''":"$A_1''$",
"A1'":"$A_1'$",
"A2''":"$A_2''$",
"B1''":"$B_1''$",
"A2'":"$A_2'$",
"B1'":"$B_1'$",
"E'":"$E'$",
"E''":"$E''$",}
dbgmsg_enable(DebugFlags.INTEGRATION)
a1 = ap.direct_basis[0]
a2 = ap.direct_basis[1]
#Particle positions
orig_x = [0]
orig_y = [0]
orig_xy = np.stack(np.meshgrid(orig_x,orig_y),axis=-1)
omegas = ap.omegas
logging.info("%d frequencies from %g to %g eV" % (len(omegas), omegas[0]/eh, omegas[-1]/eh))
bspec = BaseSpec(lMax = a.lMax)
nelem = len(bspec)
# The parameters here should probably be changed (needs a better qpms_c.Particle implementation)
pp = Particle(orig_xy[0][0], ap.tmgen, bspec=bspec)
ss, ssw = ScatteringSystem.create([pp], ap.background_emg, omegas[0], latticebasis=ap.direct_basis)
k = np.array([0.,0.,0])
# Auxillary finite scattering system for irrep decomposition, quite a hack
ss1, ssw1 = ScatteringSystem.create([pp], ap.background_emg, omegas[0],sym=FinitePointGroup(point_group_info[thegroup]))
wavenumbers = np.empty(omegas.shape)
SVs = [None] * ss1.nirreps
for iri in range(ss1.nirreps):
SVs[iri] = np.empty(omegas.shape+(ss1.saecv_sizes[iri],))
for i, omega in enumerate(omegas):
ssw = ss(omega)
wavenumbers[i] = ssw.wavenumber.real
if ssw.wavenumber.imag:
warnings.warn("Non-zero imaginary wavenumber encountered")
with pgsl_ignore_error(15): # avoid gsl crashing on underflow; maybe not needed
ImTW = ssw.modeproblem_matrix_full(k)
for iri in range(ss1.nirreps):
if ss1.saecv_sizes[iri] == 0:
continue
ImTW_packed = ss1.pack_matrix(ImTW, iri)
SVs[iri][i] = np.linalg.svd(ImTW_packed, compute_uv = False)
outfile = defaultprefix + ".npz" if a.output is None else a.output
np.savez(outfile, meta={**vars(a), 'qpms_version' : qpms.__version__()}, omegas=omegas, wavenumbers=wavenumbers, SVs=np.concatenate(SVs, axis=-1), irrep_names=ss1.irrep_names, irrep_sizes=ss1.saecv_sizes, unitcell_area=ss.unitcell_volume
)
logging.info("Saved to %s" % outfile)
if a.plot or (a.plot_out is not None):
import matplotlib
matplotlib.use('pdf')
from matplotlib import pyplot as plt
from matplotlib.backends.backend_pdf import PdfPages
fig = plt.figure()
ax = fig.add_subplot(111)
cc = plt.rcParams['axes.prop_cycle']()
for iri in range(ss1.nirreps):
cargs = next(cc)
nlines = min(a.singular_values, ss1.saecv_sizes[iri])
for i in range(nlines):
ax.plot(omegas/eh, SVs[iri][:,-1-i],
label= None if i else irrep_labels[ss1.irrep_names[iri]],
**cargs)
ax.set_ylim([0,1.1])
ax.set_xlabel('$\hbar \omega / \mathrm{eV}$')
ax.set_ylabel('Singular values')
ax.legend()
plotfile = defaultprefix + ".pdf" if a.plot_out is None else a.plot_out
with PdfPages(plotfile) as pdf:
pdf.savefig(fig)
annotate_pdf_metadata(pdf, scriptname='infiniterectlat-k0realfreqsvd.py')
exit(0)

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