Test saving in newer LyX format

Former-commit-id: 68375ee370a993015157de1d58b149c9b925b360
This commit is contained in:
Marek Nečada 2019-07-22 07:52:33 +03:00
parent 082cea31b2
commit c87fc66b3c
5 changed files with 125 additions and 59 deletions

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@ -1,7 +1,9 @@
#LyX 2.1 created this file. For more info see http://www.lyx.org/
\lyxformat 474
#LyX 2.3 created this file. For more info see http://www.lyx.org/
\lyxformat 544
\begin_document
\begin_header
\save_transient_properties true
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@ -9,16 +11,18 @@
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@ -59,6 +63,7 @@
\suppress_date false
\justification true
\use_refstyle 1
\use_minted 0
\index Index
\shortcut idx
\color #008000
@ -67,7 +72,10 @@
\tocdepth 3
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@ -334,6 +342,10 @@ The purpose of SIAM Journal on Scientific Computing (SISC) is to advance
\begin_layout Quotation
SISC papers are classified into three categories:
\begin_inset Separator latexpar
\end_inset
\end_layout
\begin_deeper
@ -393,6 +405,10 @@ Outline
\begin_layout Itemize
Intro:
\begin_inset Separator latexpar
\end_inset
\end_layout
\begin_deeper
@ -423,6 +439,10 @@ my implementation
\end_deeper
\begin_layout Itemize
Finite systems:
\begin_inset Separator latexpar
\end_inset
\end_layout
\begin_deeper
@ -433,11 +453,19 @@ motivation (classes of problems that this can solve: response to external
\begin_layout Itemize
theory
\begin_inset Separator latexpar
\end_inset
\end_layout
\begin_deeper
\begin_layout Itemize
T-matrix definition, basics
\begin_inset Separator latexpar
\end_inset
\end_layout
\begin_deeper
@ -465,6 +493,10 @@ Example results (or maybe rather in the end)
\end_deeper
\begin_layout Itemize
Infinite lattices:
\begin_inset Separator latexpar
\end_inset
\end_layout
\begin_deeper
@ -474,6 +506,10 @@ motivation (dispersion relations / modes, ...?)
\begin_layout Itemize
theory
\begin_inset Separator latexpar
\end_inset
\end_layout
\begin_deeper
@ -520,9 +556,6 @@ filename "intro.lyx"
\end_inset
\end_layout
\begin_layout Standard
\begin_inset CommandInset include
LatexCommand include
filename "finite.lyx"

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@ -1,7 +1,9 @@
#LyX 2.1 created this file. For more info see http://www.lyx.org/
\lyxformat 474
#LyX 2.3 created this file. For more info see http://www.lyx.org/
\lyxformat 544
\begin_document
\begin_header
\save_transient_properties true
\origin unavailable
\textclass article
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@ -9,16 +11,18 @@
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\font_roman "default" "TeX Gyre Pagella"
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@ -58,6 +62,7 @@
\suppress_date false
\justification true
\use_refstyle 1
\use_minted 0
\index Index
\shortcut idx
\color #008000
@ -66,7 +71,10 @@
\tocdepth 3
\paragraph_separation indent
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@ -1,7 +1,9 @@
#LyX 2.1 created this file. For more info see http://www.lyx.org/
\lyxformat 474
#LyX 2.3 created this file. For more info see http://www.lyx.org/
\lyxformat 544
\begin_document
\begin_header
\save_transient_properties true
\origin unavailable
\textclass article
\use_default_options true
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@ -9,16 +11,18 @@
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@ -59,6 +63,7 @@
\suppress_date false
\justification true
\use_refstyle 1
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\index Index
\shortcut idx
\color #008000
@ -67,7 +72,10 @@
\tocdepth 3
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@ -381,8 +389,8 @@ A transversal (
with expansion coefficients
\begin_inset Formula
\begin{eqnarray}
\rcoeffptlm{}1lm\left(\vect k,\vect E_{0}\right) & = & 4\pi i^{l}\vshD 1lm\left(\uvec k\right),\nonumber \\
\rcoeffptlm{}2lm\left(\vect k,\vect E_{0}\right) & = & -4\pi i^{l+1}\vshD 2lm\left(\uvec k\right).\label{eq:plane wave expansion}
\rcoeffptlm{}1lm\left(\vect k,\vect E_{0}\right) & = & 4\pi i^{l}\vshD1lm\left(\uvec k\right),\nonumber \\
\rcoeffptlm{}2lm\left(\vect k,\vect E_{0}\right) & = & -4\pi i^{l+1}\vshD2lm\left(\uvec k\right).\label{eq:plane wave expansion}
\end{eqnarray}
\end_inset
@ -405,6 +413,7 @@ Extinction, scattering and absorption cross sections of a single particle
LatexCommand cite
after "sect. 7.8.2"
key "kristensson_scattering_2016"
literal "true"
\end_inset

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@ -1,7 +1,9 @@
#LyX 2.1 created this file. For more info see http://www.lyx.org/
\lyxformat 474
#LyX 2.3 created this file. For more info see http://www.lyx.org/
\lyxformat 544
\begin_document
\begin_header
\save_transient_properties true
\origin unavailable
\textclass article
\use_default_options true
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@ -9,16 +11,18 @@
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@ -58,6 +62,7 @@
\suppress_date false
\justification true
\use_refstyle 1
\use_minted 0
\index Index
\shortcut idx
\color #008000
@ -66,7 +71,10 @@
\tocdepth 3
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@ -233,7 +241,7 @@ reference "eq:W definition"
\end_inset
is the asymptotic behaviour of the translation operator,
\begin_inset Formula $S_{\vect 0α\leftarrow\vect bβ}\sim\left|\vect r_{\vect b}\right|^{-1}e^{ik_{0}\left|\vect r_{\vect b}\right|}$
\begin_inset Formula $S_{\vect0α\leftarrow\vect bβ}\sim\left|\vect r_{\vect b}\right|^{-1}e^{ik_{0}\left|\vect r_{\vect b}\right|}$
\end_inset
that makes the convergence of the sum quite problematic for any
@ -330,7 +338,7 @@ translation operator for spherical waves originating in
\end_inset
is in fact a function of a single 3d argument,
\begin_inset Formula $S(\vect r_{\alpha}\leftarrow\vect r+\vect r_{\beta})=S(\vect 0\leftarrow\vect r+\vect r_{\beta}-\vect r_{\alpha})=S(-\vect r-\vect r_{\beta}+\vect r_{\alpha}\leftarrow\vect 0)=S(-\vect r-\vect r_{\beta}+\vect r_{\alpha})$
\begin_inset Formula $S(\vect r_{\alpha}\leftarrow\vect r+\vect r_{\beta})=S(\vect0\leftarrow\vect r+\vect r_{\beta}-\vect r_{\alpha})=S(-\vect r-\vect r_{\beta}+\vect r_{\alpha}\leftarrow\vect0)=S(-\vect r-\vect r_{\beta}+\vect r_{\alpha})$
\end_inset
.
@ -344,7 +352,7 @@ reference "eq:W integral"
can be rewritten as
\begin_inset Formula
\[
W_{\alpha\beta}(\vect k)=\left(2\pi\right)^{\frac{d}{2}}\uaft{(\dc{\basis u}S(\vect{\bullet}-\vect r_{\beta}+\vect r_{\alpha}\leftarrow\vect 0))\left(\vect k\right)}
W_{\alpha\beta}(\vect k)=\left(2\pi\right)^{\frac{d}{2}}\uaft{(\dc{\basis u}S(\vect{\bullet}-\vect r_{\beta}+\vect r_{\alpha}\leftarrow\vect0))\left(\vect k\right)}
\]
\end_inset
@ -369,10 +377,10 @@ reference "eq:Dirac comb uaFt"
for the Fourier transform of Dirac comb)
\begin_inset Formula
\begin{eqnarray}
W_{\alpha\beta}(\vect k) & = & \left(\left(\uaft{\dc{\basis u}}\right)\ast\left(\uaft{S(\vect{\bullet}-\vect r_{\beta}+\vect r_{\alpha}\leftarrow\vect 0)}\right)\right)(\vect k)\nonumber \\
& = & \frac{\left|\det\recb{\basis u}\right|}{\left(2\pi\right)^{\frac{d}{2}}}\left(\dc{\recb{\basis u}}^{(d)}\ast\left(\uaft{S(\vect{\bullet}-\vect r_{\beta}+\vect r_{\alpha}\leftarrow\vect 0)}\right)\right)\left(\vect k\right)\nonumber \\
& = & \frac{\left|\det\rec{\basis u}\right|}{\left(2\pi\right)^{\frac{d}{2}}}\sum_{\vect K\in\recb{\basis u}\ints^{d}}\left(\uaft{S(\vect{\bullet}-\vect r_{\beta}+\vect r_{\alpha}\leftarrow\vect 0)}\right)\left(\vect k-\vect K\right)\label{eq:W sum in reciprocal space}\\
& = & \frac{\left|\det\rec{\basis u}\right|}{\left(2\pi\right)^{\frac{d}{2}}}\sum_{\vect K\in\recb{\basis u}\ints^{d}}e^{i\left(\vect k-\vect K\right)\cdot\left(-\vect r_{\beta}+\vect r_{\alpha}\right)}\left(\uaft{S(\vect{\bullet}\leftarrow\vect 0)}\right)\left(\vect k-\vect K\right)\nonumber
W_{\alpha\beta}(\vect k) & = & \left(\left(\uaft{\dc{\basis u}}\right)\ast\left(\uaft{S(\vect{\bullet}-\vect r_{\beta}+\vect r_{\alpha}\leftarrow\vect0)}\right)\right)(\vect k)\nonumber \\
& = & \frac{\left|\det\recb{\basis u}\right|}{\left(2\pi\right)^{\frac{d}{2}}}\left(\dc{\recb{\basis u}}^{(d)}\ast\left(\uaft{S(\vect{\bullet}-\vect r_{\beta}+\vect r_{\alpha}\leftarrow\vect0)}\right)\right)\left(\vect k\right)\nonumber \\
& = & \frac{\left|\det\rec{\basis u}\right|}{\left(2\pi\right)^{\frac{d}{2}}}\sum_{\vect K\in\recb{\basis u}\ints^{d}}\left(\uaft{S(\vect{\bullet}-\vect r_{\beta}+\vect r_{\alpha}\leftarrow\vect0)}\right)\left(\vect k-\vect K\right)\label{eq:W sum in reciprocal space}\\
& = & \frac{\left|\det\rec{\basis u}\right|}{\left(2\pi\right)^{\frac{d}{2}}}\sum_{\vect K\in\recb{\basis u}\ints^{d}}e^{i\left(\vect k-\vect K\right)\cdot\left(-\vect r_{\beta}+\vect r_{\alpha}\right)}\left(\uaft{S(\vect{\bullet}\leftarrow\vect0)}\right)\left(\vect k-\vect K\right)\nonumber
\end{eqnarray}
\end_inset
@ -478,8 +486,8 @@ reference "eq:W sum in reciprocal space"
\begin_inset Formula
\begin{eqnarray}
W_{\alpha\beta}\left(\vect k\right) & = & W_{\alpha\beta}^{\textup{S}}\left(\vect k\right)+W_{\alpha\beta}^{\textup{L}}\left(\vect k\right)\nonumber \\
W_{\alpha\beta}^{\textup{S}}\left(\vect k\right) & = & \sum_{\vect R\in\basis u\ints^{d}}S^{\textup{S}}(\vect 0\leftarrow\vect R+\vect r_{\beta}-\vect r_{\alpha})e^{i\vect k\cdot\vect R}\label{eq:W Short definition}\\
W_{\alpha\beta}^{\textup{L}}\left(\vect k\right) & = & \frac{\left|\det\rec{\basis u}\right|}{\left(2\pi\right)^{\frac{d}{2}}}\sum_{\vect K\in\recb{\basis u}\ints^{d}}\left(\uaft{S^{\textup{L}}(\vect{\bullet}-\vect r_{\beta}+\vect r_{\alpha}\leftarrow\vect 0)}\right)\left(\vect k-\vect K\right)\label{eq:W Long definition}
W_{\alpha\beta}^{\textup{S}}\left(\vect k\right) & = & \sum_{\vect R\in\basis u\ints^{d}}S^{\textup{S}}(\vect0\leftarrow\vect R+\vect r_{\beta}-\vect r_{\alpha})e^{i\vect k\cdot\vect R}\label{eq:W Short definition}\\
W_{\alpha\beta}^{\textup{L}}\left(\vect k\right) & = & \frac{\left|\det\rec{\basis u}\right|}{\left(2\pi\right)^{\frac{d}{2}}}\sum_{\vect K\in\recb{\basis u}\ints^{d}}\left(\uaft{S^{\textup{L}}(\vect{\bullet}-\vect r_{\beta}+\vect r_{\alpha}\leftarrow\vect0)}\right)\left(\vect k-\vect K\right)\label{eq:W Long definition}
\end{eqnarray}
\end_inset

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@ -1,7 +1,9 @@
#LyX 2.1 created this file. For more info see http://www.lyx.org/
\lyxformat 474
#LyX 2.3 created this file. For more info see http://www.lyx.org/
\lyxformat 544
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@ -9,16 +11,18 @@
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@ -58,6 +62,7 @@
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\color #008000
@ -66,7 +71,10 @@
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