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Apr 28, 2016, 5:32:00 PM (8 years ago)
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hodnevuc
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  • papers/2016_IPAC/IPAC16_SP_CTR/MOPMB003.tex

    r583 r586  
    110110  \label{sey2dctr}
    111111\end{figure}
    112 
    113 
    114 
    115112\subsection{Coherent Radiation}
    116 
    117 
    118 
    119113%So, as both CTR and Smith-Purcell radiation depends from form factor of the time profile of the bunch (see eq. \ref{eq:eq1}),so they both  can be used to diagnose longitudinal beam profile.
    120 
    121 
    122 
    123114%Using the profile shape information from~\cite{clio} and the SEY, we can predict the spatial distribution of the energy for both effects.
    124 
    125 
    126 
    127 
    128 
    129 
    130115The calculation of coherent radiation was done with the same parameters than for the SEY. For others grating this distribution would be different, but this gives us an approximate space distribution of the CSPR. From these simulations, we can conclude  that most of the radiation is confined in  approximatively $\pm$\ang{6} in azimuthal ($\phi$)  angle. So a standard 50~mm parabolic mirror at a distance of 300~mm  from the grating will collect most of the radiation.\par
    131116To choose the most appropriate grating pitch, one should use the condition given in equation~\ref{eq:lmab}.  For maximum emission at 90 deg. the formula \label{eq:pitch_pulselength} is applicable.
     
    139124
    140125
    141 \begin{figure}[htbp]
     126\begin{figure}[!htbp]
    142127  \centering
    143128  \includegraphics[width=0.9\linewidth]{MOPMB003f4.pdf}
     
    157142
    158143
    159 \begin{figure}[htbp]
     144\begin{figure}[!htbp]
    160145  \centering
    161146  \includegraphics[width=0.9\linewidth]{MOPMB003f5.pdf}
     
    176161%\end{figure}
    177162
    178 \begin{figure}[tbp]
     163\begin{figure}[!tbp]
    179164  \centering
    180165  \includegraphics[width=0.9\linewidth]{MOPMB003f6.pdf}
     
    182167  \label{f14}
    183168\end{figure}
    184 
    185 \begin{figure}[tbp]
     169Using the bunch profile predicted for the CLIO Free Electron Laser~\cite{clio}, as shown on figure~\ref{Prof1} we can predict the spectrum for both CSPR and CTR as shown on figure~\ref{spctr}. We can see that the intensity of the CTR signal is  lower, but it is concentrated in a small solid angle. For CSPR the signal intensity depends on the beam-grating separation.
     170
     171
     172
     173\begin{figure}[!tbp]
    186174  \centering
    187175  \includegraphics[width=0.9\linewidth]{MOPMB003f7.pdf}
     
    190178\end{figure}
    191179
    192 \begin{figure}[bp]
     180\begin{figure}[!bp]
    193181  \centering
    194182  \vspace{1.8cm}
     
    198186\end{figure}
    199187
    200 \begin{figure}[tbp]
     188\begin{figure}[!tbp]
    201189  \centering
    202190  \includegraphics[width=0.8\linewidth]{MOPMB003f9.pdf}
     
    204192  \label{spctr}
    205193\end{figure}
     194\section{Conclusion}
     195We have studied both CSPR and CTR and studied how to optimize the experimental parameters. Using the CLIO parameters we expect a signal (in the range 0.03-3 THz [ 0.1 - 10 mm]) of \SI{8.37e-7}{J} for CSPR and \SI{7.35e-08}{J} for CTR.\par
    206196
    207197%\begin{figure}[!htb]
     
    212202%\end{figure}%
    213203
    214 Using the bunch profile predicted for the CLIO Free Electron Laser~\cite{clio}, as shown on figure~\ref{Prof1} we can predict the spectrum for both CSPR and CTR as shown on figure~\ref{spctr}. We can see that the intensity of the CTR signal is  lower, but it is concentrated in a small solid angle. For CSPR the signal intensity depends on the beam-grating separation.
    215 
    216 
    217 \section{Conclusion}
    218 We have studied both CSPR and CTR and studied how to optimize the experimental parameters. Using the CLIO parameters we expect a signal (in the range 0.03-3 THz [ 0.1 - 10 mm]) of \SI{8.37e-7}{J} for CSPR and \SI{7.35e-08}{J} for CTR.\par
    219204
    220205%\columnbreak
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