161 lines
3.5 KiB
Plaintext
161 lines
3.5 KiB
Plaintext
#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 finnish
|
|
\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 "Sähköpajan päiväkirja"
|
|
\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 1
|
|
\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 swedish
|
|
\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 Title
|
|
Important note about the T-matrices obtained by scuff-tmatrix
|
|
\end_layout
|
|
|
|
\begin_layout Standard
|
|
From what I managed to dig from the scuff-em documentation (and partially
|
|
source code, but with less reliability), the spherical waves used in scuff-em
|
|
are (at least in magnitude)
|
|
\series bold
|
|
power-normalised
|
|
\series default
|
|
.
|
|
\end_layout
|
|
|
|
\begin_layout Standard
|
|
However, the vector spherical harmonics have an additional factor of
|
|
\begin_inset Formula $i$
|
|
\end_inset
|
|
|
|
compared to Kristensson and while Kristensson states the interrelations
|
|
\begin_inset Formula
|
|
\begin{eqnarray*}
|
|
\nabla\times v_{1lm}(kr) & = & kv_{2lm}(kr),\\
|
|
\nabla\times v_{2lm}(kr) & = & kv_{1lm}(kr),
|
|
\end{eqnarray*}
|
|
|
|
\end_inset
|
|
|
|
Reid has
|
|
\begin_inset Formula
|
|
\[
|
|
N_{lm}=-\frac{1}{ik}\nabla\times M_{lm},
|
|
\]
|
|
|
|
\end_inset
|
|
|
|
in other words
|
|
\begin_inset Formula $\nabla\times M_{lm}=ikN_{lm}$
|
|
\end_inset
|
|
|
|
.
|
|
Therefore, it is quite possible that additional
|
|
\begin_inset Formula $i$
|
|
\end_inset
|
|
|
|
-factors will have to be added to the
|
|
\begin_inset Formula $B$
|
|
\end_inset
|
|
|
|
coefficients.
|
|
Moreover, it is totally unclear whether Reid uses C.-S.
|
|
phase or not in his spherical harmonics.
|
|
\end_layout
|
|
|
|
\begin_layout Standard
|
|
I will have to try all the possibilities to see how much it affects the
|
|
results.
|
|
If too much, one way to determine it
|
|
\begin_inset Quotes sld
|
|
\end_inset
|
|
|
|
exterimentally
|
|
\begin_inset Quotes srd
|
|
\end_inset
|
|
|
|
would be to try a configuration with several spheres and compare it to
|
|
the analytical Mie + translation coefficients -based solution.
|
|
\end_layout
|
|
|
|
\begin_layout Standard
|
|
According to the documentation, in the output T-matrix files, the outgoing
|
|
(singular) spherical wave indices are in the lefter columns, while the
|
|
incoming (regular) wave indices are on the right (and then the T-matrix
|
|
entry follows).
|
|
\end_layout
|
|
|
|
\end_body
|
|
\end_document
|