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.