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Futile attempts to make the lyx document compile 

Former-commit-id: d164c56e3eedb01db150844cc6eb33aabc065d0d
This commit is contained in:
Marek Nečada 2019-07-28 15:25:04 +03:00
parent 0f1ce6122e
commit f99fd5abe3
9 changed files with 202 additions and 169 deletions
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33
lepaper/arrayscat.lyx
View File

@ -5,18 +5,21 @@
\save_transient_properties true \save_transient_properties true
\origin unavailable \origin unavailable
\textclass article \textclass article
\begin_preamble
\DeclareUnicodeCharacter{0428}{Ш }
\end_preamble
\use_default_options true \use_default_options true
\maintain_unincluded_children false \maintain_unincluded_children false
\language english \language english
\language_package default \language_package default
\inputencoding auto-legacy \inputencoding utf8
\fontencoding auto \fontencoding auto
\font_roman "default" "TeX Gyre Pagella" \font_roman "default" "TeX Gyre Pagella"
\font_sans "default" "default" \font_sans "default" "default"
\font_typewriter "default" "default" \font_typewriter "default" "default"
\font_math "auto" "auto" \font_math "auto" "auto"
\font_default_family default \font_default_family default
\use_non_tex_fonts true \use_non_tex_fonts false
\font_sc false \font_sc false
\font_roman_osf true \font_roman_osf true
\font_sans_osf false \font_sans_osf false
@ -26,10 +29,12 @@
\use_microtype false \use_microtype false
\use_dash_ligatures true \use_dash_ligatures true
\graphics default \graphics default
\default_output_format pdf4 \default_output_format default
\output_sync 0 \output_sync 0
\bibtex_command default \bibtex_command default
\index_command default \index_command default
\float_placement class
\float_alignment class
\paperfontsize default \paperfontsize default
\spacing single \spacing single
\use_hyperref true \use_hyperref true
@ -270,12 +275,12 @@
\begin_inset FormulaMacro \begin_inset FormulaMacro
\newcommand{\rcoeffptlm}[4]{\rcoeffp{#1}_{#2#3#4}} \newcommand{\rcoeffptlm}[4]{\rcoeffp{#1,#2#3#4}}
\end_inset \end_inset
\begin_inset FormulaMacro \begin_inset FormulaMacro
\newcommand{\rcoeffincptlm}[4]{\rcoeffincp{#1}_{#2#3#4}} \newcommand{\rcoeffincptlm}[4]{\rcoeffincp{#1,#2#3#4}}
\end_inset \end_inset
@ -290,7 +295,7 @@
\begin_inset FormulaMacro \begin_inset FormulaMacro
\newcommand{\outcoeffptlm}[4]{\outcoeffp{#1}_{#2#3#4}} \newcommand{\outcoeffptlm}[4]{\outcoeffp{#1,#2#3#4}}
\end_inset \end_inset
@ -397,6 +402,11 @@ These are compatibility macros for the (...)-old files:
\end_inset \end_inset
\begin_inset FormulaMacro
\newcommand{\Kp}{K}
\end_inset
\end_layout \end_layout
\begin_layout Title \begin_layout Title
@ -675,6 +685,17 @@ literal "true"
\end_inset \end_inset
\end_layout
\begin_layout Standard
\begin_inset CommandInset include
LatexCommand include
filename "infinite-old.lyx"
literal "true"
\end_inset
\end_layout \end_layout
\begin_layout Standard \begin_layout Standard

44
lepaper/comparison.lyx
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@ -1,29 +1,37 @@
#LyX 2.1 created this file. For more info see http://www.lyx.org/ #LyX 2.4 created this file. For more info see https://www.lyx.org/
\lyxformat 474 \lyxformat 583
\begin_document \begin_document
\begin_header \begin_header
\save_transient_properties true
\origin unavailable
\textclass article \textclass article
\use_default_options true \use_default_options true
\maintain_unincluded_children false \maintain_unincluded_children false
\language finnish \language english
\language_package default \language_package default
\inputencoding auto \inputencoding utf8
\fontencoding global \fontencoding auto
\font_roman TeX Gyre Pagella \font_roman "default" "TeX Gyre Pagella"
\font_sans default \font_sans "default" "default"
\font_typewriter default \font_typewriter "default" "default"
\font_math auto \font_math "auto" "auto"
\font_default_family default \font_default_family default
\use_non_tex_fonts true \use_non_tex_fonts false
\font_sc false \font_sc false
\font_osf true \font_roman_osf true
\font_sf_scale 100 \font_sans_osf false
\font_tt_scale 100 \font_typewriter_osf false
\font_sf_scale 100 100
\font_tt_scale 100 100
\use_microtype false
\use_dash_ligatures true
\graphics default \graphics default
\default_output_format pdf4 \default_output_format default
\output_sync 0 \output_sync 0
\bibtex_command default \bibtex_command default
\index_command default \index_command default
\float_placement class
\float_alignment class
\paperfontsize default \paperfontsize default
\spacing single \spacing single
\use_hyperref true \use_hyperref true
@ -59,6 +67,8 @@
\suppress_date false \suppress_date false
\justification true \justification true
\use_refstyle 1 \use_refstyle 1
\use_minted 0
\use_lineno 0
\index Index \index Index
\shortcut idx \shortcut idx
\color #008000 \color #008000
@ -67,10 +77,14 @@
\tocdepth 3 \tocdepth 3
\paragraph_separation indent \paragraph_separation indent
\paragraph_indentation default \paragraph_indentation default
\quotes_language swedish \is_math_indent 0
\math_numbering_side default
\quotes_style english
\dynamic_quotes 0
\papercolumns 1 \papercolumns 1
\papersides 1 \papersides 1
\paperpagestyle default \paperpagestyle default
\tablestyle default
\tracking_changes false \tracking_changes false
\output_changes false \output_changes false
\html_math_output 0 \html_math_output 0

24
lepaper/examples.lyx
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@ -1,5 +1,5 @@
#LyX 2.3 created this file. For more info see http://www.lyx.org/ #LyX 2.4 created this file. For more info see https://www.lyx.org/
\lyxformat 544 \lyxformat 583
\begin_document \begin_document
\begin_header \begin_header
\save_transient_properties true \save_transient_properties true
@ -7,27 +7,31 @@
\textclass article \textclass article
\use_default_options true \use_default_options true
\maintain_unincluded_children false \maintain_unincluded_children false
\language finnish \language english
\language_package default \language_package default
\inputencoding auto \inputencoding utf8
\fontencoding global \fontencoding auto
\font_roman "default" "TeX Gyre Pagella" \font_roman "default" "TeX Gyre Pagella"
\font_sans "default" "default" \font_sans "default" "default"
\font_typewriter "default" "default" \font_typewriter "default" "default"
\font_math "auto" "auto" \font_math "auto" "auto"
\font_default_family default \font_default_family default
\use_non_tex_fonts true \use_non_tex_fonts false
\font_sc false \font_sc false
\font_osf true \font_roman_osf true
\font_sans_osf false
\font_typewriter_osf false
\font_sf_scale 100 100 \font_sf_scale 100 100
\font_tt_scale 100 100 \font_tt_scale 100 100
\use_microtype false \use_microtype false
\use_dash_ligatures true \use_dash_ligatures true
\graphics default \graphics default
\default_output_format pdf4 \default_output_format default
\output_sync 0 \output_sync 0
\bibtex_command default \bibtex_command default
\index_command default \index_command default
\float_placement class
\float_alignment class
\paperfontsize default \paperfontsize default
\spacing single \spacing single
\use_hyperref true \use_hyperref true
@ -63,6 +67,7 @@
\justification true \justification true
\use_refstyle 1 \use_refstyle 1
\use_minted 0 \use_minted 0
\use_lineno 0
\index Index \index Index
\shortcut idx \shortcut idx
\color #008000 \color #008000
@ -73,11 +78,12 @@
\paragraph_indentation default \paragraph_indentation default
\is_math_indent 0 \is_math_indent 0
\math_numbering_side default \math_numbering_side default
\quotes_style swedish \quotes_style english
\dynamic_quotes 0 \dynamic_quotes 0
\papercolumns 1 \papercolumns 1
\papersides 1 \papersides 1
\paperpagestyle default \paperpagestyle default
\tablestyle default
\tracking_changes false \tracking_changes false
\output_changes false \output_changes false
\html_math_output 0 \html_math_output 0

12
lepaper/finite-cs.lyx
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@ -7,16 +7,16 @@
\textclass article \textclass article
\use_default_options true \use_default_options true
\maintain_unincluded_children false \maintain_unincluded_children false
\language finnish \language english
\language_package default \language_package default
\inputencoding auto-legacy \inputencoding utf8
\fontencoding auto \fontencoding auto
\font_roman "default" "TeX Gyre Pagella" \font_roman "default" "TeX Gyre Pagella"
\font_sans "default" "default" \font_sans "default" "default"
\font_typewriter "default" "default" \font_typewriter "default" "default"
\font_math "auto" "auto" \font_math "auto" "auto"
\font_default_family default \font_default_family default
\use_non_tex_fonts true \use_non_tex_fonts false
\font_sc false \font_sc false
\font_roman_osf true \font_roman_osf true
\font_sans_osf false \font_sans_osf false
@ -26,10 +26,12 @@
\use_microtype false \use_microtype false
\use_dash_ligatures false \use_dash_ligatures false
\graphics default \graphics default
\default_output_format pdf4 \default_output_format default
\output_sync 0 \output_sync 0
\bibtex_command default \bibtex_command default
\index_command default \index_command default
\float_placement class
\float_alignment class
\paperfontsize default \paperfontsize default
\spacing single \spacing single
\use_hyperref true \use_hyperref true
@ -77,7 +79,7 @@
\paragraph_indentation default \paragraph_indentation default
\is_math_indent 0 \is_math_indent 0
\math_numbering_side default \math_numbering_side default
\quotes_style swedish \quotes_style english
\dynamic_quotes 0 \dynamic_quotes 0
\papercolumns 1 \papercolumns 1
\papersides 1 \papersides 1

59
lepaper/finite-old.lyx
View File

@ -1,29 +1,37 @@
#LyX 2.1 created this file. For more info see http://www.lyx.org/ #LyX 2.4 created this file. For more info see https://www.lyx.org/
\lyxformat 474 \lyxformat 583
\begin_document \begin_document
\begin_header \begin_header
\save_transient_properties true
\origin unavailable
\textclass article \textclass article
\use_default_options true \use_default_options true
\maintain_unincluded_children false \maintain_unincluded_children false
\language finnish \language english
\language_package default \language_package default
\inputencoding auto \inputencoding utf8
\fontencoding global \fontencoding auto
\font_roman TeX Gyre Pagella \font_roman "default" "TeX Gyre Pagella"
\font_sans default \font_sans "default" "default"
\font_typewriter default \font_typewriter "default" "default"
\font_math auto \font_math "auto" "auto"
\font_default_family default \font_default_family default
\use_non_tex_fonts true \use_non_tex_fonts false
\font_sc false \font_sc false
\font_osf true \font_roman_osf true
\font_sf_scale 100 \font_sans_osf false
\font_tt_scale 100 \font_typewriter_osf false
\font_sf_scale 100 100
\font_tt_scale 100 100
\use_microtype false
\use_dash_ligatures false
\graphics default \graphics default
\default_output_format pdf4 \default_output_format default
\output_sync 0 \output_sync 0
\bibtex_command default \bibtex_command default
\index_command default \index_command default
\float_placement class
\float_alignment class
\paperfontsize default \paperfontsize default
\spacing single \spacing single
\use_hyperref true \use_hyperref true
@ -59,6 +67,8 @@
\suppress_date false \suppress_date false
\justification true \justification true
\use_refstyle 1 \use_refstyle 1
\use_minted 0
\use_lineno 0
\index Index \index Index
\shortcut idx \shortcut idx
\color #008000 \color #008000
@ -67,10 +77,14 @@
\tocdepth 3 \tocdepth 3
\paragraph_separation indent \paragraph_separation indent
\paragraph_indentation default \paragraph_indentation default
\quotes_language swedish \is_math_indent 0
\math_numbering_side default
\quotes_style english
\dynamic_quotes 0
\papercolumns 1 \papercolumns 1
\papersides 1 \papersides 1
\paperpagestyle default \paperpagestyle default
\tablestyle default
\tracking_changes false \tracking_changes false
\output_changes false \output_changes false
\html_math_output 0 \html_math_output 0
@ -81,12 +95,10 @@
\begin_body \begin_body
\begin_layout Subsection \begin_layout Subsection
\lang english
The multiple-scattering problem The multiple-scattering problem
\begin_inset CommandInset label \begin_inset CommandInset label
LatexCommand label LatexCommand label
name "sub:The-multiple-scattering-problem" name "subsec:The-multiple-scattering-problem"
\end_inset \end_inset
@ -94,8 +106,6 @@ name "sub:The-multiple-scattering-problem"
\end_layout \end_layout
\begin_layout Standard \begin_layout Standard
\lang english
In the In the
\begin_inset Formula $T$ \begin_inset Formula $T$
\end_inset \end_inset
@ -147,6 +157,7 @@ where
LatexCommand cite LatexCommand cite
after "chapter 7" after "chapter 7"
key "kristensson_scattering_2016" key "kristensson_scattering_2016"
literal "true"
\end_inset \end_inset
@ -183,8 +194,6 @@ The expansion coefficients
\end_layout \end_layout
\begin_layout Standard \begin_layout Standard
\lang english
At a given frequency, assuming the system is linear, the relation between At a given frequency, assuming the system is linear, the relation between
the expansion coefficients in the VSWF bases is given by the so-called the expansion coefficients in the VSWF bases is given by the so-called
@ -226,6 +235,7 @@ th nanoparticles) its elements drop very quickly to negligible values with
\begin_inset CommandInset citation \begin_inset CommandInset citation
LatexCommand cite LatexCommand cite
key "SCUFF2,reid_efficient_2015" key "SCUFF2,reid_efficient_2015"
literal "true"
\end_inset \end_inset
@ -233,8 +243,6 @@ key "SCUFF2,reid_efficient_2015"
\end_layout \end_layout
\begin_layout Standard \begin_layout Standard
\lang english
The singular VSWFs originating at The singular VSWFs originating at
\begin_inset Formula $\vect R_{n}$ \begin_inset Formula $\vect R_{n}$
\end_inset \end_inset
@ -262,6 +270,7 @@ Analytical expressions for the translation operator
\begin_inset CommandInset citation \begin_inset CommandInset citation
LatexCommand cite LatexCommand cite
key "xu_efficient_1998" key "xu_efficient_1998"
literal "true"
\end_inset \end_inset
@ -269,8 +278,6 @@ key "xu_efficient_1998"
\end_layout \end_layout
\begin_layout Standard \begin_layout Standard
\lang english
If we write the field incident onto the If we write the field incident onto the
\begin_inset Formula $n$ \begin_inset Formula $n$
\end_inset \end_inset

58
lepaper/finite.lyx
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@ -1,5 +1,5 @@
#LyX 2.3 created this file. For more info see http://www.lyx.org/ #LyX 2.4 created this file. For more info see https://www.lyx.org/
\lyxformat 544 \lyxformat 583
\begin_document \begin_document
\begin_header \begin_header
\save_transient_properties true \save_transient_properties true
@ -7,27 +7,31 @@
\textclass article \textclass article
\use_default_options true \use_default_options true
\maintain_unincluded_children false \maintain_unincluded_children false
\language finnish \language english
\language_package default \language_package default
\inputencoding auto \inputencoding utf8
\fontencoding global \fontencoding auto
\font_roman "default" "TeX Gyre Pagella" \font_roman "default" "TeX Gyre Pagella"
\font_sans "default" "default" \font_sans "default" "default"
\font_typewriter "default" "default" \font_typewriter "default" "default"
\font_math "auto" "auto" \font_math "auto" "auto"
\font_default_family default \font_default_family default
\use_non_tex_fonts true \use_non_tex_fonts false
\font_sc false \font_sc false
\font_osf true \font_roman_osf true
\font_sans_osf false
\font_typewriter_osf false
\font_sf_scale 100 100 \font_sf_scale 100 100
\font_tt_scale 100 100 \font_tt_scale 100 100
\use_microtype false \use_microtype false
\use_dash_ligatures true \use_dash_ligatures true
\graphics default \graphics default
\default_output_format pdf4 \default_output_format default
\output_sync 0 \output_sync 0
\bibtex_command default \bibtex_command default
\index_command default \index_command default
\float_placement class
\float_alignment class
\paperfontsize default \paperfontsize default
\spacing single \spacing single
\use_hyperref true \use_hyperref true
@ -63,6 +67,7 @@
\justification true \justification true
\use_refstyle 1 \use_refstyle 1
\use_minted 0 \use_minted 0
\use_lineno 0
\index Index \index Index
\shortcut idx \shortcut idx
\color #008000 \color #008000
@ -73,11 +78,12 @@
\paragraph_indentation default \paragraph_indentation default
\is_math_indent 0 \is_math_indent 0
\math_numbering_side default \math_numbering_side default
\quotes_style swedish \quotes_style english
\dynamic_quotes 0 \dynamic_quotes 0
\papercolumns 1 \papercolumns 1
\papersides 1 \papersides 1
\paperpagestyle default \paperpagestyle default
\tablestyle default
\tracking_changes false \tracking_changes false
\output_changes false \output_changes false
\html_math_output 0 \html_math_output 0
@ -92,8 +98,6 @@ Finite systems
\end_layout \end_layout
\begin_layout Itemize \begin_layout Itemize
\lang english
motivation (classes of problems that this can solve: response to external motivation (classes of problems that this can solve: response to external
radiation, resonances, ...) radiation, resonances, ...)
\begin_inset Separator latexpar \begin_inset Separator latexpar
@ -104,8 +108,6 @@ motivation (classes of problems that this can solve: response to external
\begin_deeper \begin_deeper
\begin_layout Itemize \begin_layout Itemize
\lang english
theory theory
\begin_inset Separator latexpar \begin_inset Separator latexpar
\end_inset \end_inset
@ -115,8 +117,6 @@ theory
\begin_deeper \begin_deeper
\begin_layout Itemize \begin_layout Itemize
\lang english
T-matrix definition, basics T-matrix definition, basics
\begin_inset Separator latexpar \begin_inset Separator latexpar
\end_inset \end_inset
@ -126,23 +126,17 @@ T-matrix definition, basics
\begin_deeper \begin_deeper
\begin_layout Itemize \begin_layout Itemize
\lang english
How to get it? How to get it?
\end_layout \end_layout
\end_deeper \end_deeper
\begin_layout Itemize \begin_layout Itemize
\lang english
translation operators (TODO think about how explicit this should be, but 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 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) in the shortest possible form) in the normalisation used in my program)
\end_layout \end_layout
\begin_layout Itemize \begin_layout Itemize
\lang english
employing point group symmetries and decomposing the problem to decrease employing point group symmetries and decomposing the problem to decrease
the computational complexity (maybe separately) the computational complexity (maybe separately)
\end_layout \end_layout
@ -150,8 +144,6 @@ employing point group symmetries and decomposing the problem to decrease
\end_deeper \end_deeper
\end_deeper \end_deeper
\begin_layout Subsection \begin_layout Subsection
\lang english
Motivation Motivation
\end_layout \end_layout
@ -167,8 +159,6 @@ The basic idea of MSTMM is quite simple: the driving electromagnetic field
\end_layout \end_layout
\begin_layout Subsection \begin_layout Subsection
\lang english
Single-particle scattering Single-particle scattering
\end_layout \end_layout
@ -227,8 +217,6 @@ todo define
\end_layout \end_layout
\begin_layout Standard \begin_layout Standard
\lang english
Throughout this text, we will use the same normalisation conventions as Throughout this text, we will use the same normalisation conventions as
in in
\begin_inset CommandInset citation \begin_inset CommandInset citation
@ -242,20 +230,14 @@ literal "true"
\end_layout \end_layout
\begin_layout Subsubsection \begin_layout Subsubsection
\lang english
Spherical waves Spherical waves
\end_layout \end_layout
\begin_layout Standard \begin_layout Standard
\lang english
\begin_inset Note Note \begin_inset Note Note
status open status open
\begin_layout Plain Layout \begin_layout Plain Layout
\lang english
TODO small note about cartesian multipoles, anapoles etc. TODO small note about cartesian multipoles, anapoles etc.
(There should be some comparing paper that the Russians at META 2018 mentioned.) (There should be some comparing paper that the Russians at META 2018 mentioned.)
\end_layout \end_layout
@ -266,8 +248,6 @@ TODO small note about cartesian multipoles, anapoles etc.
\end_layout \end_layout
\begin_layout Subsubsection \begin_layout Subsubsection
\lang english
T-matrix definition T-matrix definition
\end_layout \end_layout
@ -276,26 +256,18 @@ Absorbed power
\end_layout \end_layout
\begin_layout Subsubsection \begin_layout Subsubsection
\lang english
T-matrix compactness, cutoff validity T-matrix compactness, cutoff validity
\end_layout \end_layout
\begin_layout Subsection \begin_layout Subsection
\lang english
Multiple scattering Multiple scattering
\end_layout \end_layout
\begin_layout Subsubsection \begin_layout Subsubsection
\lang english
Translation operator Translation operator
\end_layout \end_layout
\begin_layout Subsubsection \begin_layout Subsubsection
\lang english
Numerical complexity, comparison to other methods Numerical complexity, comparison to other methods
\end_layout \end_layout

44
lepaper/infinite-old.lyx
View File

@ -1,29 +1,37 @@
#LyX 2.1 created this file. For more info see http://www.lyx.org/ #LyX 2.4 created this file. For more info see https://www.lyx.org/
\lyxformat 474 \lyxformat 583
\begin_document \begin_document
\begin_header \begin_header
\save_transient_properties true
\origin unavailable
\textclass article \textclass article
\use_default_options false \use_default_options false
\maintain_unincluded_children false \maintain_unincluded_children false
\language english \language english
\language_package none \language_package none
\inputencoding auto \inputencoding utf8
\fontencoding default \fontencoding default
\font_roman default \font_roman "default" "default"
\font_sans default \font_sans "default" "default"
\font_typewriter default \font_typewriter "default" "default"
\font_math auto \font_math "auto" "auto"
\font_default_family default \font_default_family default
\use_non_tex_fonts false \use_non_tex_fonts false
\font_sc false \font_sc false
\font_osf false \font_roman_osf false
\font_sf_scale 100 \font_sans_osf false
\font_tt_scale 100 \font_typewriter_osf false
\font_sf_scale 100 100
\font_tt_scale 100 100
\use_microtype false
\use_dash_ligatures true
\graphics default \graphics default
\default_output_format default \default_output_format default
\output_sync 0 \output_sync 0
\bibtex_command default \bibtex_command default
\index_command default \index_command default
\float_placement class
\float_alignment class
\paperfontsize default \paperfontsize default
\spacing single \spacing single
\use_hyperref false \use_hyperref false
@ -48,6 +56,8 @@
\suppress_date false \suppress_date false
\justification true \justification true
\use_refstyle 0 \use_refstyle 0
\use_minted 0
\use_lineno 0
\index Index \index Index
\shortcut idx \shortcut idx
\color #008000 \color #008000
@ -56,10 +66,14 @@
\tocdepth 3 \tocdepth 3
\paragraph_separation indent \paragraph_separation indent
\paragraph_indentation default \paragraph_indentation default
\quotes_language english \is_math_indent 0
\math_numbering_side default
\quotes_style english
\dynamic_quotes 0
\papercolumns 1 \papercolumns 1
\papersides 1 \papersides 1
\paperpagestyle default \paperpagestyle default
\tablestyle default
\tracking_changes false \tracking_changes false
\output_changes false \output_changes false
\html_math_output 0 \html_math_output 0
@ -73,7 +87,7 @@
Periodic systems and mode analysis Periodic systems and mode analysis
\begin_inset CommandInset label \begin_inset CommandInset label
LatexCommand label LatexCommand label
name "sub:Periodic-systems" name "subsec:Periodic-systems"
\end_inset \end_inset
@ -160,6 +174,7 @@ reference "eq:multiple scattering per particle a"
\begin_inset CommandInset citation \begin_inset CommandInset citation
LatexCommand cite LatexCommand cite
key "linton_lattice_2010" key "linton_lattice_2010"
literal "true"
\end_inset \end_inset
@ -273,6 +288,7 @@ try points of the Brillouin zone can be found e.g.
LatexCommand cite LatexCommand cite
after "chapters 10–11" after "chapters 10–11"
key "dresselhaus_group_2008" key "dresselhaus_group_2008"
literal "true"
\end_inset \end_inset
@ -323,6 +339,7 @@ We analyse the symmetries of the system in the same VSWF representation
LatexCommand cite LatexCommand cite
after "eq. (11.19)" after "eq. (11.19)"
key "dresselhaus_group_2008" key "dresselhaus_group_2008"
literal "true"
\end_inset \end_inset
@ -342,6 +359,7 @@ key "dresselhaus_group_2008"
\begin_inset CommandInset citation \begin_inset CommandInset citation
LatexCommand cite LatexCommand cite
key "schulz_point-group_1999" key "schulz_point-group_1999"
literal "true"
\end_inset \end_inset
@ -359,6 +377,7 @@ key "schulz_point-group_1999"
LatexCommand cite LatexCommand cite
after "eq. (4.28)" after "eq. (4.28)"
key "dresselhaus_group_2008" key "dresselhaus_group_2008"
literal "true"
\end_inset \end_inset
@ -440,6 +459,7 @@ Each mode at the
LatexCommand cite LatexCommand cite
after "eq. (2.51)" after "eq. (2.51)"
key "dresselhaus_group_2008" key "dresselhaus_group_2008"
literal "true"
\end_inset \end_inset

55
lepaper/infinite.lyx
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@ -1,5 +1,5 @@
#LyX 2.3 created this file. For more info see http://www.lyx.org/ #LyX 2.4 created this file. For more info see https://www.lyx.org/
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@ -7,27 +7,31 @@
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@ -63,6 +67,7 @@
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\index Index \index Index
\shortcut idx \shortcut idx
\color #008000 \color #008000
@ -73,11 +78,12 @@
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@ -92,14 +98,10 @@ Infinite periodic systems
\end_layout \end_layout
\begin_layout Subsection \begin_layout Subsection
\lang english
Formulation of the problem Formulation of the problem
\end_layout \end_layout
\begin_layout Standard \begin_layout Standard
\lang english
Assume a system of compact EM scatterers in otherwise homogeneous and isotropic Assume a system of compact EM scatterers in otherwise homogeneous and isotropic
medium, and assume that the system, i.e. medium, and assume that the system, i.e.
both the medium and the scatterers, have linear response. both the medium and the scatterers, have linear response.
@ -139,14 +141,10 @@ where
\end_layout \end_layout
\begin_layout Standard \begin_layout Standard
\lang english
... ...
\end_layout \end_layout
\begin_layout Standard \begin_layout Standard
\lang english
\begin_inset Formula \begin_inset Formula
\[ \[
\sum_{β}(\delta_{αβ}-T_{α}S_{α\leftarrowβ})A_{β}=T_{α}P_{0α}. \sum_{β}(\delta_{αβ}-T_{α}S_{α\leftarrowβ})A_{β}=T_{α}P_{0α}.
@ -158,14 +156,10 @@ where
\end_layout \end_layout
\begin_layout Standard \begin_layout Standard
\lang english
Now suppose that the scatterers constitute an infinite lattice Now suppose that the scatterers constitute an infinite lattice
\end_layout \end_layout
\begin_layout Standard \begin_layout Standard
\lang english
\begin_inset Formula \begin_inset Formula
\[ \[
\sum_{\vect bβ}(\delta_{\vect{ab}}\delta_{αβ}-T_{\vect aα}S_{\vect aα\leftarrow\vect bβ})A_{\vect bβ}=T_{\vect aα}P_{0\vect aα}. \sum_{\vect bβ}(\delta_{\vect{ab}}\delta_{αβ}-T_{\vect aα}S_{\vect aα\leftarrow\vect bβ})A_{\vect bβ}=T_{\vect aα}P_{0\vect aα}.
@ -225,14 +219,10 @@ W_{\alpha\beta}(\vect k)\equiv\sum_{\vect b}S_{\vect 0α\leftarrow\vect bβ}e^{i
\end_layout \end_layout
\begin_layout Subsection \begin_layout Subsection
\lang english
Computing the Fourier sum of the translation operator Computing the Fourier sum of the translation operator
\end_layout \end_layout
\begin_layout Standard \begin_layout Standard
\lang english
The problem evaluating The problem evaluating
\begin_inset CommandInset ref \begin_inset CommandInset ref
LatexCommand eqref LatexCommand eqref
@ -253,8 +243,6 @@ reference "eq:W definition"
status open status open
\begin_layout Plain Layout \begin_layout Plain Layout
\lang english
Note that Note that
\begin_inset Formula $d$ \begin_inset Formula $d$
\end_inset \end_inset
@ -274,8 +262,6 @@ Note that
\end_layout \end_layout
\begin_layout Standard \begin_layout Standard
\lang english
Let us re-express the sum in Let us re-express the sum in
\begin_inset CommandInset ref \begin_inset CommandInset ref
LatexCommand eqref LatexCommand eqref
@ -284,11 +270,14 @@ reference "eq:W definition"
\end_inset \end_inset
in terms of integral with a delta comb in terms of integral with a delta comb
\begin_inset FormulaMacro
\renewcommand{\basis}[1]{\mathfrak{#1}}
\end_inset
\end_layout \end_layout
\begin_layout Standard \begin_layout Standard
\lang english
\begin_inset Formula \begin_inset Formula
\begin{equation} \begin{equation}
W_{\alpha\beta}(\vect k)=\int\ud^{d}\vect r\dc{\basis u}(\vect r)S(\vect r_{\alpha}\leftarrow\vect r+\vect r_{\beta})e^{i\vect k\cdot\vect r}.\label{eq:W integral} W_{\alpha\beta}(\vect k)=\int\ud^{d}\vect r\dc{\basis u}(\vect r)S(\vect r_{\alpha}\leftarrow\vect r+\vect r_{\beta})e^{i\vect k\cdot\vect r}.\label{eq:W integral}
@ -390,8 +379,6 @@ W_{\alpha\beta}(\vect k) & = & \left(\left(\uaft{\dc{\basis u}}\right)\ast\left(
status open status open
\begin_layout Plain Layout \begin_layout Plain Layout
\lang english
Factor Factor
\begin_inset Formula $\left(2\pi\right)^{\frac{d}{2}}$ \begin_inset Formula $\left(2\pi\right)^{\frac{d}{2}}$
\end_inset \end_inset
@ -424,8 +411,6 @@ whole
\end_layout \end_layout
\begin_layout Standard \begin_layout Standard
\lang english
However, Fourier transform is linear, so we can in principle separate However, Fourier transform is linear, so we can in principle separate
\begin_inset Formula $S$ \begin_inset Formula $S$
\end_inset \end_inset

24
lepaper/intro.lyx
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@ -1,5 +1,5 @@
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@ -63,6 +67,7 @@
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