Changeset 288 in ETALON for reconstruction/long_paper3/phase_reconstruction_paper.tex

Timestamp:

Oct 15, 2015, 10:45:50 AM (9 years ago)

Author:

delerue

Message:

Paper updated

File:

• reconstruction/long_paper3/phase_reconstruction_paper.tex (modified) (2 diffs)

reconstruction/long_paper3/phase_reconstruction_paper.tex

@@ -327 +327 @@
 \rho_{HF}(\omega)=A\omega^B
 \end{equation}
-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.
+
+XXX Check 
+
+where the A and B coefficient are calculated to fit the last data samples and the boundary conditions. The requirement of finite bunch size requires $B\le2$, so in the case where the fit gives $B>-2$ we use $B=-2$.
 Two other extrapolation methods have also been investigated:
 \begin{itemize}
@@ -335 +338 @@
 
 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 and $B<=-2$ condition is also used.
+Thus, by virtue of the above arguments and simulations, It's naturally to choose the high-frequency extrapolation by power function.