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Commit 9e9747f7 authored by Wuttke, Joachim's avatar Wuttke, Joachim
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Corrections; start list of symbols ("nomenclature")

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...@@ -83,7 +83,9 @@ ...@@ -83,7 +83,9 @@
%------------------------------------------------------------------------------- %-------------------------------------------------------------------------------
% OTHER PACKAGES % OTHER PACKAGES
%------------------------------------------------------------------------------- %-------------------------------------------------------------------------------
\usepackage{makeidx}\makeindex \usepackage{makeidx}\makeindex
\usepackage{nomencl}\makenomenclature
\usepackage{graphicx} \usepackage{graphicx}
\usepackage{subfigure} \usepackage{subfigure}
...@@ -343,6 +345,9 @@ Disclaimer: &Software and documentation are work in progress.\\ ...@@ -343,6 +345,9 @@ Disclaimer: &Software and documentation are work in progress.\\
\bibliographystyle{switch} \bibliographystyle{switch}
\bibliography{jw7} \bibliography{jw7}
\renewcommand{\nomname}{List of Symbols}
\printnomenclature
\printindex \printindex
\end{document} \end{document}
...@@ -215,7 +215,6 @@ plane. } ...@@ -215,7 +215,6 @@ plane. }
\label{fig:multil3d} \label{fig:multil3d}
\end{figure} \end{figure}
The layers are defined by their thicknesses (parallel to the The layers are defined by their thicknesses (parallel to the
$z$-direction), their possible $z$-direction), their possible
roughnesses (equal to 0 by default) and the roughnesses (equal to 0 by default) and the
...@@ -334,8 +333,8 @@ the in-plane component $\vect{r}_\parallel$ (\ref{Ewave3}): ...@@ -334,8 +333,8 @@ the in-plane component $\vect{r}_\parallel$ (\ref{Ewave3}):
From the continuity conditions we infer that $\vect{k}_\parallel$ From the continuity conditions we infer that $\vect{k}_\parallel$
is constant across layers. is constant across layers.
The wave equation~(\ref{Escalar_wave}) The wave equation~(\ref{Escalar_wave})
reduces to a one-dimensional equation in~$z$, reduces to a one-dimensional equation in~$z$ [see (\ref{Ewavez})]
\begin{equation}\label{Ewavez} \begin{equation}\label{Ewavezdup}
\left(\partial_z^2 + K^2n_i^2 - k_\parallel^2 \right) \psi(z) = 0, \left(\partial_z^2 + K^2n_i^2 - k_\parallel^2 \right) \psi(z) = 0,
\end{equation} \end{equation}
which is solved by which is solved by
...@@ -348,7 +347,7 @@ introduced here as a constant offset for later convenience. ...@@ -348,7 +347,7 @@ introduced here as a constant offset for later convenience.
In the case of the semi-infinite bottom layer~$N$, In the case of the semi-infinite bottom layer~$N$,
$z_N$ can be chosen arbitrarily. $z_N$ can be chosen arbitrarily.
Inserting (\ref{Epsiz}) into (\ref{Ewavez}), Inserting (\ref{Epsiz}) into (\ref{Ewavezdup}),
we obtain the dispersion relation we obtain the dispersion relation
\begin{equation}\label{Edisp} \begin{equation}\label{Edisp}
k_\parallel^2 + k_{\perp i}^2 = K^2 n_i^2. k_\parallel^2 + k_{\perp i}^2 = K^2 n_i^2.
......
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%
%% BornAgain User Manual
%%
%% homepage: http://www.bornagainproject.org
%%
%% copyright: Forschungszentrum Jülich GmbH 2015
%%
%% license: Creative Commons CC-BY-SA
%%
%% authors: Scientific Computing Group at MLZ Garching
%% C. Durniak, M. Ganeva, G. Pospelov, W. Van Herck, J. Wuttke
%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\chapter{Polarized GISAS} \SecLabel{polTheory}
In this chapter,
we extend the theory
of grazing-incidence small-angle scattering (GISAS)
to X-rays and polarized neutrons.
We therefore need to study vectorial wave equations,
in contrast to the scalar theory of the previous chapter.
%===============================================================================
\section{X-ray propagation}\label{Sxray}
%===============================================================================
\index{Wave propagation!X-rays}
\index{X-rays!wave propagation}
.... to come ....
%===============================================================================
\section{Polarized neutrons}\label{Snpol}
%===============================================================================
\index{Neutrons!polarized}
\index{Polarization!neutrons}
.... to come ....
...@@ -55,8 +55,11 @@ we refer to the excellent review \cite{ReLL09}. ...@@ -55,8 +55,11 @@ we refer to the excellent review \cite{ReLL09}.
\index{Neutrons!wave propagation|(}% \index{Neutrons!wave propagation|(}%
\index{Schrodinger@Schrödinger equation!microscopic}% \index{Schrodinger@Schrödinger equation!microscopic}%
The scalar wave function $\psi(\r,t)$ of a slow neutron The scalar wave function $\psi(\r,t)$
is governed by the microscopic Schrödinger equation \nomenclature{$t$}{Time}
\nomenclature{$\r$}{Position}
\nomenclature{$\psi(\r,t)$}{Microscopic neutron wave function}
of a slow neutron is governed by the microscopic Schrödinger equation
\begin{equation}\label{ESchrodi} \begin{equation}\label{ESchrodi}
i\hbar\partial_t \psi(\r,t) i\hbar\partial_t \psi(\r,t)
= \left\{-\frac{\hbar^2}{2m}\Nabla^2+V(\r)\right\} \psi(\r,t). = \left\{-\frac{\hbar^2}{2m}\Nabla^2+V(\r)\right\} \psi(\r,t).
...@@ -65,6 +68,7 @@ By assuming a time-independent potential $V(\r)$, ...@@ -65,6 +68,7 @@ By assuming a time-independent potential $V(\r)$,
we have excluded inelastic scattering. we have excluded inelastic scattering.
Therefore we need only to consider monochromatic waves Therefore we need only to consider monochromatic waves
with given frequency~$\omega$. with given frequency~$\omega$.
\nomenclature{$\omega$}{Frequency of incident radiation}
In consequence, we have a stationary wave function In consequence, we have a stationary wave function
\begin{equation}\label{Estationarywave} \begin{equation}\label{Estationarywave}
\psi(\r,t) = \psi(\r){\rm e}^{-i\omega t}. \psi(\r,t) = \psi(\r){\rm e}^{-i\omega t}.
...@@ -419,7 +423,7 @@ of the scattering-length density. ...@@ -419,7 +423,7 @@ of the scattering-length density.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%=============================================================================== %===============================================================================
\subsection{Wave propagation in $\v{2+1}$ dimensions} \subsection[Wave propagation in $2+1$ dimensions]{Wave propagation in $\v{2+1}$ dimensions}
%=============================================================================== %===============================================================================
Reflectometry and grazing-incidence scattering Reflectometry and grazing-incidence scattering
......
%%
%% This is file `nomencl.ist',
%% generated with the docstrip utility.
%%
%% The original source files were:
%%
%% nomencl.dtx (with options: `idxstyle')
%%
%% Copyright 1996 Boris Veytsman
%% Copyright 1999-2001 Bernd Schandl
%% www http://sarovar.org/projects/nomencl
%%
%% This file can be redistributed and/or modified under the terms
%% of the LaTeX Project Public License distributed from CTAN
%% archives in the directory macros/latex/base/lppl.txt; either
%% version 1.2 of the license, or (at your option) any later version.
%%
%%
%% Nomenclature style file for MAKEINDEX.
%% For nomencl v2.5 (and later)
%%
%% Formats glossary entries to show, e.g. nomenclature of equations.
%%
%% Written by Boris Veytsman boris@plmsc.psu.edu
%% Changed by Bernd Schandl schandl@gmx.net (starting 1999/02/20)
%% Changed by Lee Netherton ltn100@users.sourceforge.net
%% (starting 2005/03/31)
%%
%% Changes:
%% 2005/04/27. Updates to the documentation, including support for hyperref (LN)
%% 2005/04/20. Improvements to Italian option, and minor documentation
%% changes (LN)
%% 2005/03/31. Made more compatible with other glossary packages. (LN)
%% Added option to include nomenclature in TOC. (LN)
%% 1996/11/25. Change quote character to % (BV)
%% 1999/02/20. Removed setting of actual to its default value
%% Removed setting of quote to '%' to get its default '"' instead
%% Changed group_skip to do nothing; user should use \nomgroup
%% Changed spacing in gls file
%%
%% \CharacterTable
%% {Upper-case \A\B\C\D\E\F\G\H\I\J\K\L\M\N\O\P\Q\R\S\T\U\V\W\X\Y\Z
%% Lower-case \a\b\c\d\e\f\g\h\i\j\k\l\m\n\o\p\q\r\s\t\u\v\w\x\y\z
%% Digits \0\1\2\3\4\5\6\7\8\9
%% Exclamation \! Double quote \" Hash (number) \#
%% Dollar \$ Percent \% Ampersand \&
%% Acute accent \' Left paren \( Right paren \)
%% Asterisk \* Plus \+ Comma \,
%% Minus \- Point \. Solidus \/
%% Colon \: Semicolon \; Less than \<
%% Equals \= Greater than \> Question mark \?
%% Commercial at \@ Left bracket \[ Backslash \\
%% Right bracket \] Circumflex \^ Underscore \_
%% Grave accent \` Left brace \{ Vertical bar \|
%% Right brace \} Tilde \~}
%%
%% ---- for input file ----
keyword "\\nomenclatureentry"
%% Germans might want to change this and delete the two %%
%% quote '"'
%% ---- for output file ----
preamble "\\begin{thenomenclature} \n"%
postamble "\n\n\\end{thenomenclature}\n" group_skip "\n"
delim_0 ""
delim_1 ""
delim_2 ""
%% The next lines will produce some warnings when
%% running Makeindex as they try to cover two different
%% versions of the program:
lethead_prefix "\n \\nomgroup{"
lethead_suffix "}\n"
lethead_flag 1
heading_prefix "\n \\nomgroup{"
heading_suffix "}\n"
headings_flag 1
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