Changeset 271 in ETALON for reconstruction
- Timestamp:
- Sep 20, 2015, 4:33:05 PM (9 years ago)
- Location:
- reconstruction/long_paper3
- Files:
-
- 1 deleted
- 4 edited
Legend:
- Unmodified
- Added
- Removed
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reconstruction/long_paper3/phase_reconstruction_paper.aux
r269 r271 17 17 \newlabel{sigma_chi2}{{2}{2}} 18 18 \citation{E203prstab} 19 \citation{pchip}20 \citation{VBthesis}21 19 \newlabel{eq:lamb}{{7}{3}} 22 20 \@writefile{lof}{\contentsline {figure}{\numberline {3}{\ignorespaces Comparison of different samplings with $\chi ^2$ criterium (top) and $\Delta _{FWHM}$ (bottom).\relax }}{3}} 23 21 \newlabel{samp}{{3}{3}} 22 \@writefile{lof}{\contentsline {figure}{\numberline {4}{\ignorespaces Detector position for linear sampling for a minimal detector distance of $5^o$ (top) and $10^o$ (bottom) .\relax }}{3}} 23 \newlabel{lin12}{{4}{3}} 24 \citation{pchip} 25 \citation{VBthesis} 24 26 \citation{VBthesis,DESYthesis} 25 \citation{LaiS}26 \@writefile{lof}{\contentsline {figure}{\numberline {4}{\ignorespaces Detector position for linear sampling for a minimal detector distance of $5^o$ (top) and $10^o$ (bottom) .\relax }}{4}}27 \newlabel{lin12}{{4}{4}}28 27 \@writefile{lof}{\contentsline {figure}{\numberline {5}{\ignorespaces Comparison of different sampling with number of MDD with $\chi ^2$ criterium (top) and $\Delta _{FWHM}$ (bottom). Ls is linear sampling with $1^o,5^o,10^0$ MDD and Ts is Triple sine sampling; mx mean the reconstruction use the maximum number of detectors (blue and red dots on figure \ref {lin12}).\relax }}{4}} 29 28 \newlabel{biglin}{{5}{4}} 30 \@writefile{lof}{\contentsline {figure}{\numberline {6}{\ignorespaces Effect of the sampling frequencies on the $\chi ^2$ (top) and $\Delta _{FWHM}$ (bottom). \relax }}{5}} 31 \newlabel{sampling_chi2}{{6}{5}} 29 \@writefile{lof}{\contentsline {figure}{\numberline {6}{\ignorespaces Effect of the sampling frequencies on the $\chi ^2$ (top) and $\Delta _{FWHM}$ (bottom). \relax }}{4}} 30 \newlabel{sampling_chi2}{{6}{4}} 31 \citation{LaiS} 32 32 \@writefile{lof}{\contentsline {figure}{\numberline {7}{\ignorespaces Comparison of different LF extrapolation: example of spectrum (top) and profile (bottom) and histogram with mean $\chi ^2$ for each method (bottom). Gaussian and Taylorian methods are described in the text. "Real LF spectrum" means that the real LF spectrum is used. For this simulation was used the Hilbert method of phase recovery and $A\omega ^B$ high frequency extrapolation.\relax }}{5}} 33 33 \newlabel{lf}{{7}{5}} 34 \@writefile{lof}{\contentsline {figure}{\numberline {8}{\ignorespaces Comparison of different LF extrapolation: histogram with mean $\chi ^2$ for each method (top) and $\Delta _{FWHM}$ (bottom). \relax }}{5}} 35 \newlabel{lf2}{{8}{5}} 34 36 \@writefile{toc}{\contentsline {section}{Study of the reconstruction performance}{5}} 35 \citation{Pelliccia:2014vba}36 \@writefile{lof}{\contentsline {figure}{\numberline {8}{\ignorespaces Comparison of different LF extrapolation: histogram with mean $\chi ^2$ for each method (top) and $\Delta _{FWHM}$ (bottom). \relax }}{6}}37 \newlabel{lf2}{{8}{6}}38 37 \@writefile{lof}{\contentsline {figure}{\numberline {9}{\ignorespaces Comparison of different HF extrapolation~: example of spectrum (top) and profile (bottom). For these simulation was used the Hilbert reconstruction method of phase recovery and Gaussian LF extrapolations.\relax }}{6}} 39 38 \newlabel{hf}{{9}{6}} 40 39 \@writefile{lof}{\contentsline {figure}{\numberline {10}{\ignorespaces Comparison of different HF extrapolation for Gaussian~:histogram with mean $\chi ^2$ (top) and $\Delta _{FWHM}$ (bottom).\relax }}{6}} 41 40 \newlabel{hf2}{{10}{6}} 42 \@writefile{lof}{\contentsline {figure}{\numberline {11}{\ignorespaces Examples of well reconstructed profile. The original profile is in blue and the profiles reconstructed with the Hilbert transform and the full Kramers-Kronig procedures are in red and black respectively.\relax }}{7}} 43 \newlabel{good_profiles}{{11}{7}} 41 \@writefile{lof}{\contentsline {figure}{\numberline {11}{\ignorespaces Examples of well reconstructed profile. The original profile is in blue and the profiles reconstructed with the Hilbert transform and the full Kramers-Kronig procedures are in red and black respectively.\relax }}{6}} 42 \newlabel{good_profiles}{{11}{6}} 43 \citation{Pelliccia:2014vba} 44 44 \@writefile{lof}{\contentsline {figure}{\numberline {12}{\ignorespaces Example of poorly reconstructed profile. The original profile is in blue and the profiles reconstructed with the Hilbert transform and the full Kramers-Kronig procedures are in red and black respectively.\relax }}{7}} 45 45 \newlabel{bad_profiles}{{12}{7}} 46 \@writefile{toc}{\contentsline {section}{Discussion}{7}} 47 \@writefile{lof}{\contentsline {figure}{\numberline {13}{\ignorespaces {$\Delta _{FWHM}$ (top) and $\chi ^2$ (bottom) distribution of 1000 simulations reconstructed using the Hilbert transform method (black line) and Kramers-Kronig reconstruction method (red line). }\relax }}{8}} 48 \newlabel{profiles_stats_hilbert}{{13}{8}} 49 \@writefile{lof}{\contentsline {figure}{\numberline {14}{\ignorespaces Example of reconstructed profile with zooms on the peak and tails. One can see that the profile reconstructed using the Kramers-Kronig method has a negative component. This will dominate the final $\chi ^2$ and explains why the $\chi ^2$ obtained by this method is higher as shown on figure~\ref {profiles_stats_hilbert}.\relax }}{8}} 50 \newlabel{expKK}{{14}{8}} 46 \@writefile{lof}{\contentsline {figure}{\numberline {13}{\ignorespaces {$\Delta _{FWHM}$ (top) and $\chi ^2$ (bottom) distribution of 1000 simulations reconstructed using the Hilbert transform method (black line) and Kramers-Kronig reconstruction method (red line). }\relax }}{7}} 47 \newlabel{profiles_stats_hilbert}{{13}{7}} 48 \@writefile{lof}{\contentsline {figure}{\numberline {14}{\ignorespaces Example of reconstructed profile with zooms on the peak and tails. One can see that the profile reconstructed using the Kramers-Kronig method has a negative component. This will dominate the final $\chi ^2$ and explains why the $\chi ^2$ obtained by this method is higher as shown on figure~\ref {profiles_stats_hilbert}.\relax }}{7}} 49 \newlabel{expKK}{{14}{7}} 51 50 \@writefile{lof}{\contentsline {figure}{\numberline {15}{\ignorespaces $\Delta _{FWXM}$ for 1000 profiles with both methods.\relax }}{8}} 52 51 \newlabel{fwxm}{{15}{8}} 53 \@writefile{lof}{\contentsline {figure}{\numberline {16}{\ignorespaces Original and reconstructed profile and their difference for bad profile (top) and good profile (bottom).\relax }}{9}} 54 \newlabel{mod}{{16}{9}} 55 \@writefile{lof}{\contentsline {figure}{\numberline {17}{\ignorespaces Distribution of the $\chi ^2$ in the case of a lorenzian distribution. \relax }}{9}} 56 \newlabel{lorenz}{{17}{9}} 57 \@writefile{lof}{\contentsline {figure}{\numberline {18}{\ignorespaces Mean $\chi ^2$ and $\Delta _{FWXM}$ as function of noise amplitude.\relax }}{10}} 58 \newlabel{noise}{{18}{10}} 52 \@writefile{lof}{\contentsline {figure}{\numberline {16}{\ignorespaces Original and reconstructed profile and their difference for bad profile (top) and good profile (bottom).\relax }}{8}} 53 \newlabel{mod}{{16}{8}} 54 \@writefile{lof}{\contentsline {figure}{\numberline {17}{\ignorespaces Distribution of the $\chi ^2$ in the case of a lorenzian distribution. \relax }}{8}} 55 \newlabel{lorenz}{{17}{8}} 56 \@writefile{toc}{\contentsline {section}{Discussion}{8}} 57 \@writefile{lof}{\contentsline {figure}{\numberline {18}{\ignorespaces Mean $\chi ^2$ and $\Delta _{FWXM}$ as function of noise amplitude.\relax }}{9}} 58 \newlabel{noise}{{18}{9}} 59 59 \bibcite{OTR_LURE}{1} 60 60 \bibcite{ODR_Cianchi}{2} -
reconstruction/long_paper3/phase_reconstruction_paper.log
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Rerun to get cross-references right. … … 2171 2174 17657 strings out of 494474 2172 2175 340972 string characters out of 6172703 2173 39752 3words of memory out of 50000002176 397524 words of memory out of 5000000 2174 2177 20400 multiletter control sequences out of 15000+600000 2175 2178 98549 words of font info for 134 fonts, out of 8000000 for 9000 … … 2189 2192 /texmf/fonts/type1/public/tex-gyre/qtmb.pfb></usr/share/texmf/fonts/type1/publi 2190 2193 c/tex-gyre/qtmr.pfb></usr/share/texmf/fonts/type1/public/tex-gyre/qtmri.pfb> 2191 Output written on phase_reconstruction_paper.pdf (1 1 pages, 555289bytes).2194 Output written on phase_reconstruction_paper.pdf (10 pages, 532035 bytes). 2192 2195 PDF statistics: 2193 51 9PDF objects out of 1000 (max. 8388607)2194 35 6compressed objects within 4 object streams2196 516 PDF objects out of 1000 (max. 8388607) 2197 354 compressed objects within 4 object streams 2195 2198 0 named destinations out of 1000 (max. 500000) 2196 2199 34200 words of extra memory for PDF output out of 35830 (max. 10000000)
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