updated manual directory

git-svn-id: file:///afs/psi.ch/project/sls_det_software/svn/slsDetectorsPackage@47 08cae9ef-cb74-4d14-b03a-d7ea46f178d7

manual/manual-main/AngConv_fml.tex

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+%\begin{figure}[!h]
+%\centering 
+%\includegraphics[width=0.98\textwidth]{AngConv}
+%\caption{Schematics of the scattering geometry in the diffraction plane. A Mythen II module is shown. $R_m$ is the distance from the module sensor plane (orthogonal to the diffraction plane) to the sample position $S$; $D_m$ the distance from the center of pixel $j=0$ to point $Q$, counted positively as the arrow on the module plane goes (\emph{i.e.}, oppositely to the direction of increasing $j$); $\Phi_m$ is the angle of the module plane normal with the beam direction, positive counterclockwise. $\alpha_{jm}$ is the angular position of the $j$-th pixel center with respect to the beam direction, positive counterclockwise.}
+%\label{acon}
+%\end{figure}
+
+Mythen II modules are composed by 1280 pixels, each having width p=0.05~mm, and numbered with j=0,..,1279. 
+Angles are counted counterclockwise from the beam direction. For the m-th module, the angle $\alpha_{jm}$ of its j-th pixel center 
+can be determined using the three geometric parameters $R_m$~[mm], $\Phi_m$~[deg], $D_m$~[mm], as in \fref{acon}. 
+The detector group uses instead the 3 parameters center $c_m$~[\ ], offset $o_m$~[deg], conversion $k_m$~[\ ]. 
+The law with the 3 geometric parameter is
+\begin{equation}
+\alpha_{jm}=\Phi_m-\lrb{\DSF{180}{\pi}}\arctan\lrb{\DSF{D_m-pj}{R_m}}
+\end{equation}
+The corresponding law using DG's parameters is
+\begin{equation}
+\alpha_{jm}=o_m+\lrb{\DSF{180}{\pi}}c_mk_m+\lrb{\DSF{180}{\pi}}\arctan\lrs{\lrb{j-c_m}k_m}
+\end{equation}
+One can convert the two forms by equating separately the term out of the arctan and the argument of arctan for two different values of j. 
+It results
+\begin{eqnarray}
+c_m&=&\DSF{D_m}{p};\\ 
+k_m&=&\DSF{p}{R_m};\\ 
+o_m&=&\Phi_m-\DSF{180}{\pi}\DSF{D_m}{R_m}.
+\end{eqnarray}
+Conversely,
+\begin{eqnarray}
+\Phi_m&=&o_m+\DSF{180}{\pi}c_mk_m;\\
+R_m&=&\DSF{p}{k_m};\\
+D_m&=&c_m p.
+\end{eqnarray}