Changeset 287 in ETALON for reconstruction/long_paper3/phase_reconstruction_paper.tex

Timestamp:

Oct 15, 2015, 9:21:49 AM (9 years ago)

Author:

hodnevuc

Message:

 

File:

• reconstruction/long_paper3/phase_reconstruction_paper.tex (modified) (6 diffs)

reconstruction/long_paper3/phase_reconstruction_paper.tex

@@ -190 +190 @@
 \begin{figure}[htbp]
  \centering
-  \includegraphics*[width=70mm]{plots/31.eps} \\
-    \includegraphics*[width=70mm]{plots/32.eps}
+  \includegraphics*[width=70mm]{plot1510/31.eps} \\
+    \includegraphics*[width=70mm]{plot1510/32.eps}
   %\includegraphics*[width=70mm]{newFig/lin27e203line203.eps} 
   \caption{Comparison of different samplings with $\chi^2$ criterium (top) and $\Delta_{FWHM}$ (bottom).}%VH add  picture 
@@ -327 +327 @@
 \rho_{HF}(\omega)=A\omega^B
 \end{equation}
-where the A and B coefficient are selected from the boundary conditions.
+where the A and B coefficient are selected from the boundary conditions. But assumption of finite bunch size set boundary condition on B. So even if $B>-2$ from crosslinking conditions, we use B=-2.
 Two other extrapolation methods have also been investigated:
 \begin{itemize}
@@ -335 +335 @@
 
 These HF extrapolation methods are compared on figure~\ref{hf} and~\ref{hf2}.\par
-Thus, by virtue of the above arguments and simulations, It's naturally to choose the high-frequency extrapolation by power function. Constants of extrapolation functions are selected from crosslinking conditions above.
+Thus, by virtue of the above arguments and simulations, It's naturally to choose the high-frequency extrapolation by power function. Constants of extrapolation functions are selected from crosslinking conditions above and $B<=-2$ condition is also used.
  
  
@@ -402 +402 @@
 \begin{figure}[htbp]
  \centering
-  \includegraphics*[width=70mm]{plots/131.eps} \\
-  \includegraphics*[width=70mm]{plots/132.eps} 
+  \includegraphics*[width=70mm]{plot1510/131.eps} \\
+  \includegraphics*[width=70mm]{plot1510/132.eps} 
   \caption{{$\Delta_{FWHM}$  (top)  and $\chi^2$ (bottom) distribution of 1000 simulations reconstructed using the Hilbert transform  method (black line) and Kramers-Kronig reconstruction method (red line).  }}% VH change name of picture and unite with other
    \label{profiles_stats_hilbert}
@@ -423 +423 @@
 \begin{figure}[htbp]
  \centering
-  \includegraphics*[width=70mm]{plots/15.eps} 
+  \includegraphics*[width=70mm]{plot1510/15.eps} 
   \caption{$\Delta_{FWXM}$  for 1000 profiles with both methods.}%VH add  picture 
    \label{fwxm}
@@ -442 +442 @@
 \begin{figure}[htbp]
  \centering
-  \includegraphics*[width=70mm]{plots/171.eps} \\
-  \includegraphics*[width=70mm]{plots/172.eps} \\
+  \includegraphics*[width=70mm]{plot1510/171.eps} \\
+  \includegraphics*[width=70mm]{plot1510/172.eps} \\
 %  \includegraphics*[width=75mm]{THPME088f10.eps}
   \caption{Distribution of the $\chi^2$ in the case of a lorenzian distribution. }