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Commit 4897768c authored by Wuttke, Joachim's avatar Wuttke, Joachim
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Figure, Appendix

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...@@ -287,7 +287,7 @@ integral equals the square of the number of particles that contribute to the sca ...@@ -287,7 +287,7 @@ integral equals the square of the number of particles that contribute to the sca
\end{equation} \end{equation}
with $N_p$ the number of scattering centers. with $N_p$ the number of scattering centers.
\nomenclature{$N_p$}{Number of scattering centers} \nomenclature{$N_p$}{Number of scattering centers}
In the following, we will present different physical models In the following, we will present different physical models
that provide computable approximations that provide computable approximations
...@@ -451,9 +451,7 @@ They are available through constructors like ...@@ -451,9 +451,7 @@ They are available through constructors like
\begin{lstlisting} \begin{lstlisting}
FormFactorCone(radius, height, alpha) FormFactorCone(radius, height, alpha)
\end{lstlisting} \end{lstlisting}
These functions are documented in Appendix~\ref{SFF}. These functions are documented in \cref{SFF}.
Some background information on how the form factors are computed
is given in Appendix~\ref{SFFcomp}.
\index{Form factor!tutorial}% \index{Form factor!tutorial}%
\index{Form factor!examples}% \index{Form factor!examples}%
...@@ -900,7 +898,7 @@ S(q) =\Re \left(\frac{1+\Phi(q) }{1 - \Phi(q)} \right), \quad \mathrm{where}\qua ...@@ -900,7 +898,7 @@ S(q) =\Re \left(\frac{1+\Phi(q) }{1 - \Phi(q)} \right), \quad \mathrm{where}\qua
\end{align*} \end{align*}
where $\Lambda$ is a damping length used in order to introduce some finite-size effects. where $\Lambda$ is a damping length used in order to introduce some finite-size effects.
Figure~\ref{fig:1dparas_q} shows the evolution of $S(q)$ for different values of $\omega /D$. \Cref{fig:1dparas_q} shows the evolution of $S(q)$ for different values of $\omega /D$.
\begin{figure}[tb] \begin{figure}[tb]
\begin{center} \begin{center}
...@@ -1042,7 +1040,7 @@ where $q_{\plll}$ is the component of the scattering beam in the plane of the in ...@@ -1042,7 +1040,7 @@ where $q_{\plll}$ is the component of the scattering beam in the plane of the in
\vspace{18pt} \vspace{18pt}
Figure~\ref{fig:SchemDWBA} illustrates the four scattering processes for a supported particle, taken into account in the DWBA. The first term of eq.~\ref{Edwbaair} corresponds to the Born approximation. Each term of $F_{\rm{DWBA}}$ is weighted by a Fresnel coefficient. \Cref{fig:SchemDWBA} illustrates the four scattering processes for a supported particle, taken into account in the DWBA. The first term of eq.~\ref{Edwbaair} corresponds to the Born approximation. Each term of $F_{\rm{DWBA}}$ is weighted by a Fresnel coefficient.
\begin{figure}[tb] \begin{figure}[tb]
\begin{center} \begin{center}
...@@ -1061,7 +1059,7 @@ Script~\ref{lst:badwba} illustrates the difference between BA and DWBA in \BornA ...@@ -1061,7 +1059,7 @@ Script~\ref{lst:badwba} illustrates the difference between BA and DWBA in \BornA
\item in the BA, a sample composed of the particles in air. \item in the BA, a sample composed of the particles in air.
\end{itemize} \end{itemize}
Figure~\ref{fig:spheroidbadwba} shows the intensity contour plot generated using this script with truncated spheroids as particles. \Cref{fig:spheroidbadwba} shows the intensity contour plot generated using this script with truncated spheroids as particles.
\newpage \newpage
...@@ -1145,7 +1143,7 @@ where index $n$ is related to the layers, $z$ to the vertical component, and $j$ ...@@ -1145,7 +1143,7 @@ where index $n$ is related to the layers, $z$ to the vertical component, and $j$
\end{figure} \end{figure}
Figure~\ref{fig:dwbaburied} shows a typical example of the output intensity scattered from a sample made of 3 layers: air, substrate, and in between, spherical particles embedded in the middle of a 30~nm-thick layer. This figure had been generated using listing~\ref{lst:dwbaburied}. \Cref{fig:dwbaburied} shows a typical example of the output intensity scattered from a sample made of 3 layers: air, substrate, and in between, spherical particles embedded in the middle of a 30~nm-thick layer. This figure had been generated using listing~\ref{lst:dwbaburied}.
\begin{lstlisting}[language=python, style=eclipseboxed,numbers=none,nolol,caption={\Code{Python} script to generate a sample where spherical particles are embedded in the middle of a layer on a substrate.},label={lst:dwbaburied}] \begin{lstlisting}[language=python, style=eclipseboxed,numbers=none,nolol,caption={\Code{Python} script to generate a sample where spherical particles are embedded in the middle of a layer on a substrate.},label={lst:dwbaburied}]
def get_sample(): def get_sample():
...@@ -1309,7 +1307,7 @@ The interference function is specified when building the sample. It is linked wi ...@@ -1309,7 +1307,7 @@ The interference function is specified when building the sample. It is linked wi
The particles are placed randomly in the dilute limit and are considered as individual, non-interacting scatterers. The scattered intensity is function of the form factors only. The particles are placed randomly in the dilute limit and are considered as individual, non-interacting scatterers. The scattered intensity is function of the form factors only.
\paragraph{Example} The sample is made of a substrate on which are deposited half-spheres. Script~\ref{lst:nointerf} details the commands necessary to generate such a sample. Figure~\ref{fig:nointerf} shows an example of output intensity: Script~\ref{lst:nointerf} + detector's + input beam's characterizations. \paragraph{Example} The sample is made of a substrate on which are deposited half-spheres. Script~\ref{lst:nointerf} details the commands necessary to generate such a sample. \Cref{fig:nointerf} shows an example of output intensity: Script~\ref{lst:nointerf} + detector's + input beam's characterizations.
\begin{figure}[tb] \begin{figure}[tb]
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