Changeset 299 in ETALON for reconstruction

Timestamp:

Nov 21, 2015, 8:16:30 PM (9 years ago)

Author:

delerue

Message:

some corrections to the paper

Location:

reconstruction/long_paper3

Files:

• phase_reconstruction_paper.aux (modified) (2 diffs)
• phase_reconstruction_paper.log (modified) (78 diffs)
• phase_reconstruction_paper.pdf (modified) (previous)
• phase_reconstruction_paper.synctex.gz (modified) (previous)
• phase_reconstruction_paper.tex (modified) (5 diffs)

reconstruction/long_paper3/phase_reconstruction_paper.aux

@@ -12 +12 @@
 \@writefile{toc}{\contentsline {section}{Description of the simulations}{1}}
 \citation{E203prstab}
+\citation{E203prstab}
 \@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces Example of profiles giving very different $\chi ^2$ despite being relatively similar.   $\chi ^2_{\unhbox \voidb@x \hbox {sine noise}}=3.8219e-08, \chi ^2_{\unhbox \voidb@x \hbox {offset}}=7.2661e-08$; For profile with sine noise: FW0.1M=0.0241, FW0.2M=0.044 FWHM=0.0621 FW0.8M=0.1849 FW0.9M=0.3619. For offset profile all FWXM=0. \relax }}{2}}
 \providecommand*\caption@xref[2]{\@setref\relax\@undefined{#1}}
@@ -17 +18 @@
 \@writefile{lof}{\contentsline {figure}{\numberline {2}{\ignorespaces Effect of scaling the constraints on the parameters $\sigma _i$ (top) and $\mu _i$ (bottom) on the $\chi ^2$. For each point 1000 simulations was made.\relax }}{2}}
 \newlabel{sigma_chi2}{{2}{2}}
-\citation{E203prstab}
 \newlabel{eq:lamb}{{7}{3}}
 \@writefile{lof}{\contentsline {figure}{\numberline {3}{\ignorespaces Comparison of different samplings with $\chi ^2$ criterium (top) and $\Delta _{FWHM}$ (bottom).\relax }}{3}}

reconstruction/long_paper3/phase_reconstruction_paper.log

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reconstruction/long_paper3/phase_reconstruction_paper.tex

@@ -45 +45 @@
 \begin{document}
 %\linenumbers
-\title{Study of Phase Reconstruction Techniques applied to Smith-Purcell Radiation Measurements\thanks{Work supported by the French ANR (contract ANR-12-JS05-0003-01), the PICS (CNRS) "Development of the instrumentation for accelerator experiments, beam monitoring and other applications and  Research Grant \#F58/380-2013 (project F58/04) from the State Fund for Fundamental Researches of Ukraine in the frame of the State key laboratory of high energy physics." }}
+\title{Study of Phase Reconstruction Techniques applied to Smith-Purcell Radiation Measurements}
+%\thanks{Work supported by the French ANR (contract ANR-12-JS05-0003-01), the PICS (CNRS) "Development of the instrumentation for accelerator experiments, beam monitoring and other applications and  Research Grant \#F58/380-2013 (project F58/04) from the State Fund for Fundamental Researches of Ukraine in the frame of the State key laboratory of high energy physics." }
 
 \author{
-N. Delerue~\thanks{delerue@lal.in2p3.fr}, J. Barros,   LAL, Orsay, France\\
-O. Bezshyyko, V. Khodnevych, Taras Shevchenko National University of Kyiv , Ukraine}
+N. Delerue~\thanks{delerue@lal.in2p3.fr}, J. Barros,   LAL, Orsay, France PARIS SACLAY\\
+O. Bezshyyko, V. Khodnevych, Taras Shevchenko National University of Kyiv, Ukraine}
 
 \maketitle
@@ -55 +56 @@
 %
 \begin{abstract}
-Measurements of coherent radiation at accelerators typically gives the absolute value of the beam profile Fourier transform but not its phase. Phase reconstruction techniques such as Hilbert transform or Kramers Kronig reconstruction are used to recover such phase. We report a study of the performances of these methods and how to optimize the reconstructed profiles. 
+Measurements of coherent radiation at accelerators typically give the absolute value of the beam profile Fourier transform but not its phase. Phase reconstruction techniques such as Hilbert transform or Kramers Kronig reconstruction are used to recover such phase. We report a study of the performances of these methods and how to optimize the reconstructed profiles. 
 \end{abstract}
 
@@ -61 +62 @@
 \section{Longitudinal bunch profile measurement at particle accelerators}
 
-On a particle accelerator the longitudinal profiles of a particle bunch can not easily be measured. Several indirect measurement techniques have been established relying on the radiation emitted by the bunch either when it crosses a different material~\cite{OTR_LURE} or when it passes near a different material~\cite{ODR_Cianchi,Doucas_ESB}. In this case what is measured is the emitted spectrum. This emitted  spectrum encode the longitudinal profile through the relation:
+On a particle accelerator the longitudinal profiles of a particle bunch can not easily be measured. Several indirect measurement techniques have been established relying on the measurement of the spectrum of radiation emitted by the bunch either when it crosses a different material~\cite{OTR_LURE} or when it passes near a different material~\cite{ODR_Cianchi,Doucas_ESB}. This emitted  spectrum encode the longitudinal profile through the relation:
 
 \begin{equation}
@@ -136 +137 @@
 
 
-Here two profiles that are similar but slightly offset (in position or amplitude) will nevertheless return good values of this estimator despite returning a rather large$\chi^2$.
+Here two profiles that are similar but slightly offset (in position or amplitude) will nevertheless return good values of this estimator despite returning a rather large $\chi^2$.
 
 \begin{figure}[htbp]
@@ -482 +483 @@
 
 
-The authors are grateful for the funding received from the French ANR (contract ANR-12-JS05-0003-01), the PICS (CNRS) "Development of the instrumentation for accelerator experiments, beam monitoring and other applications" and  Research Grant \#F58/380-2013 (project F58/04) from the State Fund for Fundamental Researches of Ukraine in the frame of the State key laboratory of high energy physics.
+The authors are grateful for the funding received from the French ANR (contract ANR-12-JS05-0003-01), the PICS (CNRS) "Development of the instrumentation for accelerator experiments, beam monitoring and other applications" and  Research Grant \#F58/380-2013 (project F58/04) from the State Fund for Fundamental Researches of Ukraine in the frame of the State key laboratory of high energy physics and the IDEATE International Associated Laboratory (LIA).
 
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