The probability distribution functions have been implemented in the reciprocal space in \BornAgain. Their expressions are given in Table~\ref{table:pdf}.
The probability distribution functions have been implemented in the reciprocal space in \BornAgain. Their expressions are given in Table~\ref{table:pdf}.
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@@ -590,6 +592,7 @@ Function & Parameters & Comments\\
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@@ -590,6 +592,7 @@ Function & Parameters & Comments\\
The Born approximation fails when multiple reflections and refractions have to be taken into account at interfaces because of the presence of underlying layers of materials and the closeness of the incident angle $\alpha_i$ to the critical angle of total external reflection $\alpha_c$. The first order correction to the scattering theory is the Distorted Wave Born Approximation (DWBA), whereas the Born approximation is the zeroth order. \\
The Born approximation fails when multiple reflections and refractions have to be taken into account at interfaces because of the presence of underlying layers of materials and the closeness of the incident angle $\alpha_i$ to the critical angle of total external reflection $\alpha_c$. The first order correction to the scattering theory is the Distorted Wave Born Approximation (DWBA), whereas the Born approximation is the zeroth order. \\
The collective effects between the particles are not considered in this section. They have been described in~\SecRef{sect:interf}. We also do not take any polarization effects into account. \\
The collective effects between the particles are not considered in this section. They have been described in~\SecRef{sect:interf}. We also do not take any polarization effects into account. \\
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@@ -803,7 +808,6 @@ where index $n$ is related to the layers, $z$ to the vertical component, and $j$
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@@ -803,7 +808,6 @@ 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}.
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}.
\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}]