qpms/lepaper/arrayscat.lyx

#LyX 2.1 created this file. For more info see http://www.lyx.org/
\lyxformat 474
\begin_document
\begin_header
\textclass article
\use_default_options true
\maintain_unincluded_children false
\language english
\language_package default
\inputencoding auto
\fontencoding global
\font_roman TeX Gyre Pagella
\font_sans default
\font_typewriter default
\font_math auto
\font_default_family default
\use_non_tex_fonts true
\font_sc false
\font_osf true
\font_sf_scale 100
\font_tt_scale 100
\graphics default
\default_output_format pdf4
\output_sync 0
\bibtex_command default
\index_command default
\paperfontsize default
\spacing single
\use_hyperref true
\pdf_title "Multiple-scattering T-matrix approach in nanophotonics"
\pdf_author "Marek Nečada"
\pdf_bookmarks true
\pdf_bookmarksnumbered false
\pdf_bookmarksopen false
\pdf_bookmarksopenlevel 1
\pdf_breaklinks false
\pdf_pdfborder false
\pdf_colorlinks false
\pdf_backref false
\pdf_pdfusetitle true
\papersize default
\use_geometry false
\use_package amsmath 2
\use_package amssymb 1
\use_package cancel 1
\use_package esint 1
\use_package mathdots 1
\use_package mathtools 1
\use_package mhchem 1
\use_package stackrel 1
\use_package stmaryrd 1
\use_package undertilde 1
\cite_engine basic
\cite_engine_type default
\biblio_style plain
\use_bibtopic false
\use_indices false
\paperorientation portrait
\suppress_date false
\justification true
\use_refstyle 1
\index Index
\shortcut idx
\color #008000
\end_index
\secnumdepth 3
\tocdepth 3
\paragraph_separation indent
\paragraph_indentation default
\quotes_language english
\papercolumns 1
\papersides 1
\paperpagestyle default
\tracking_changes false
\output_changes false
\html_math_output 0
\html_css_as_file 0
\html_be_strict false
\end_header

\begin_body

\begin_layout Standard
\begin_inset FormulaMacro
\newcommand{\uoft}[1]{\mathfrak{F}#1}
\end_inset


\begin_inset FormulaMacro
\newcommand{\uaft}[1]{\mathfrak{\mathbb{F}}#1}
\end_inset


\begin_inset FormulaMacro
\newcommand{\usht}[2]{\mathbb{S}_{#1}#2}
\end_inset


\begin_inset FormulaMacro
\newcommand{\bsht}[2]{\mathrm{S}_{#1}#2}
\end_inset


\begin_inset FormulaMacro
\newcommand{\sgn}{\operatorname{sgn}}
{\mathrm{sgn}}
\end_inset


\begin_inset FormulaMacro
\newcommand{\pht}[2]{\mathfrak{\mathbb{H}}_{#1}#2}
\end_inset


\begin_inset FormulaMacro
\newcommand{\vect}[1]{\mathbf{#1}}
\end_inset


\begin_inset FormulaMacro
\newcommand{\ud}{\mathrm{d}}
\end_inset


\begin_inset FormulaMacro
\newcommand{\basis}[1]{\mathfrak{#1}}
\end_inset


\begin_inset FormulaMacro
\newcommand{\dc}[1]{Ш_{#1}}
\end_inset


\begin_inset FormulaMacro
\newcommand{\rec}[1]{#1^{-1}}
\end_inset


\begin_inset FormulaMacro
\newcommand{\recb}[1]{#1^{\widehat{-1}}}
\end_inset


\begin_inset FormulaMacro
\newcommand{\ints}{\mathbb{Z}}
\end_inset


\begin_inset FormulaMacro
\newcommand{\nats}{\mathbb{N}}
\end_inset


\begin_inset FormulaMacro
\newcommand{\reals}{\mathbb{R}}
\end_inset


\begin_inset FormulaMacro
\newcommand{\ush}[2]{Y_{#1,#2}}
\end_inset


\begin_inset FormulaMacro
\newcommand{\hgfr}{\mathbf{F}}
\end_inset


\begin_inset FormulaMacro
\newcommand{\hgf}{F}
\end_inset


\begin_inset FormulaMacro
\newcommand{\ghgf}[2]{\mbox{}_{#1}F_{#2}}
\end_inset


\begin_inset FormulaMacro
\newcommand{\ghgfr}[2]{\mbox{}_{#1}\mathbf{F}_{#2}}
\end_inset


\begin_inset FormulaMacro
\newcommand{\ph}{\mathrm{ph}}
\end_inset


\begin_inset FormulaMacro
\newcommand{\kor}[1]{\underline{#1}}
\end_inset


\begin_inset FormulaMacro
\newcommand{\koru}[1]{\utilde{#1}}
\end_inset


\begin_inset FormulaMacro
\newcommand{\swv}{\mathscr{H}}
\end_inset


\begin_inset FormulaMacro
\newcommand{\expint}{\mathrm{E}}
\end_inset


\begin_inset FormulaMacro
\newcommand{\thespace}{\reals^{3}}
\end_inset


\begin_inset FormulaMacro
\newcommand{\particle}{\mathrm{\Omega}}
\end_inset


\begin_inset FormulaMacro
\newcommand{\medium}{\thespace\backslash\particle}
\end_inset


\begin_inset FormulaMacro
\newcommand{\epsbg}{\mathrm{\epsilon_{b}}}
\end_inset


\begin_inset FormulaMacro
\newcommand{\mubg}{\mathrm{\mu_{b}}}
\end_inset


\end_layout

\begin_layout Title
Some nice title about multiple scattering approach to photonic nanoparticle
 arrays (outline)
\end_layout

\begin_layout Author
Marek Nečada
\end_layout

\begin_layout Standard
Excerpt from the SIAM Journal of Scientific Computing Editorial Policy:
\end_layout

\begin_layout Quotation
The purpose of SIAM Journal on Scientific Computing (SISC) is to advance
 computational methods for solving scientific and engineering problems.
\end_layout

\begin_layout Quotation
SISC papers are classified into three categories:
\end_layout

\begin_deeper
\begin_layout Itemize
Methods and Algorithms for Scientific Computing: Papers in this category
 may include theoretical analysis, provided that the relevance to applications
 in science and engineering is demonstrated.
 They should contain meaningful computational results and theoretical results
 or strong heuristics supporting the performance of new algorithms.
 
\end_layout

\begin_layout Itemize
Computational Methods in Science and Engineering: Papers in this section
 will typically describe novel methodologies for solving a specific problem
 in computational science or engineering.
 They should contain enough information about the application to orient
 other computational scientists but should omit details of interest mainly
 to the applications specialist.
 
\end_layout

\begin_layout Itemize
Software and High-Performance Computing: Papers in this category should
 concern the novel design and development of computational methods and high-qual
ity software, parallel algorithms, high-performance computing issues, new
 architectures, data analysis, or visualization.
 The primary focus should be on computational methods that have potentially
 large impact for an important class of scientific or engineering problems.
\end_layout

\end_deeper
\begin_layout Quotation
Authors are encouraged to indicate which category best fits their SISC submissio
n.
\end_layout

\begin_layout Quotation
All submissions to SISC must be well written and accessible to a wide variety
 of readers, and should represent a clear advance in the state of the art.
\end_layout

\begin_layout Quotation
Due to space limitations, articles are normally limited to 20 journal pages.
 Exceptions can be made in special cases only with the concurrence of the
 referees, the associate editor, and the editor-in-chief.
 
\end_layout

\begin_layout Standard
Category: Methods and Algorithms for Scientific Computing?
\end_layout

\begin_layout Section
Outline
\end_layout

\begin_layout Itemize
Intro: 
\end_layout

\begin_deeper
\begin_layout Itemize
problem of optical response of nanoparticle arrays
\end_layout

\begin_layout Itemize
application domain of my method, computational complexity
\end_layout

\begin_layout Itemize
brief comparison of complexities with the 
\begin_inset Quotes eld
\end_inset

old-fashioned
\begin_inset Quotes erd
\end_inset

 (FEM, FDTD)
\end_layout

\begin_layout Itemize
my implementation
\end_layout

\end_deeper
\begin_layout Itemize
Finite systems:
\end_layout

\begin_deeper
\begin_layout Itemize
motivation (classes of problems that this can solve: response to external
 radiation, resonances, ...)
\end_layout

\begin_layout Itemize
theory
\end_layout

\begin_deeper
\begin_layout Itemize
T-matrix definition, basics
\end_layout

\begin_deeper
\begin_layout Itemize
How to get it?
\end_layout

\end_deeper
\begin_layout Itemize
translation operators (TODO think about how explicit this should be, but
 I guess it might be useful to write them to write them explicitly (but
 in the shortest possible form) in the normalisation used in my program)
\end_layout

\begin_layout Itemize
employing point group symmetries and decomposing the problem to decrease
 the computational complexity (maybe separately)
\end_layout

\end_deeper
\begin_layout Itemize
Example results (or maybe rather in the end)
\end_layout

\end_deeper
\begin_layout Itemize
Infinite lattices:
\end_layout

\begin_deeper
\begin_layout Itemize
motivation (dispersion relations / modes, ...?)
\end_layout

\begin_layout Itemize
theory
\end_layout

\begin_deeper
\begin_layout Itemize
Ewald sum of translation operators (again, we shall see how explicit expressions
 it will take to not make it too repulsive) 
\end_layout

\begin_layout Itemize
singularities and convergence (TODO)
\end_layout

\begin_layout Itemize
applications: mode problem with SVD, transmision/reflection
\end_layout

\begin_layout Itemize
space group symmetries (again, maybe all the symmetry-related stuff separately?)
\end_layout

\end_deeper
\begin_layout Itemize
Example results (or maybe all in the end)
\end_layout

\end_deeper
\begin_layout Itemize
Topology related stuff (TODO)?
\end_layout

\begin_layout Itemize
My implementation.
\end_layout

\begin_layout Itemize
Maybe put the numerical results separately in the end.
\end_layout

\begin_layout Standard
\begin_inset CommandInset include
LatexCommand include
filename "intro.lyx"

\end_inset


\end_layout

\begin_layout Standard
\begin_inset CommandInset include
LatexCommand include
filename "finite.lyx"

\end_inset


\end_layout

\begin_layout Standard
\begin_inset CommandInset include
LatexCommand include
filename "infinite.lyx"

\end_inset


\end_layout

\begin_layout Standard
\begin_inset CommandInset include
LatexCommand include
filename "examples.lyx"

\end_inset


\end_layout

\begin_layout Standard
\begin_inset CommandInset include
LatexCommand include
filename "comparison.lyx"

\end_inset


\end_layout

\begin_layout Standard
\begin_inset CommandInset bibtex
LatexCommand bibtex
bibfiles "T-matrix paper"
options "plain"

\end_inset


\end_layout

\end_body
\end_document