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High Brightness Electron Beam Diagnostics and their ... - CASA

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Average<br />

Left<br />

1.5<br />

Right<br />

1.0<br />

0.5<br />

0.0<br />

-0.5<br />

-1.0<br />

-3000 -2000 -1000 0 1000 2000 3000<br />

0 10 20 30 40 50 60 70 80 90 100<br />

Mirror Position ( m)<br />

Wavenumber (cm -1 50<br />

Average<br />

(A) 45 (B)<br />

alongwiththecorrespondingpowerspectrum(B). Figure5.17:Symmetrizationoftheautocorrelationbydierentmethods(A)(seetextfordetail)<br />

Left<br />

Right<br />

40<br />

35<br />

30<br />

25<br />

20<br />

15<br />

10<br />

5<br />

0<br />

)<br />

Autocorrelation (a.u.)<br />

40<br />

0 10 20 30 40 50 60 70 80 90 100<br />

Wavenumber (cm -1 35<br />

30<br />

Figure5.18:Energyspectrumobtainedbyconsideringdierentnumbersofdatapointsfromthe<br />

25<br />

autocorrelation.Thenumbersareallpowersoftwo,asrequiredbytheFFTalgorithmweused.<br />

20<br />

15<br />

10<br />

5<br />

0<br />

)<br />

Energy Spectrum (a.u.)<br />

Energy Spectrum (a.u.)<br />

64 points<br />

128 points<br />

256 points<br />

512 points

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