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

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1.0<br />

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. .<br />

0.5<br />

. 10%<br />

. .<br />

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.<br />

...<br />

..<br />

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90%<br />

0.0<br />

.<br />

contours)usingthesimulatedbeampatternontheopticaltransitionradiationpresentedgure4.19<br />

90%<br />

50%<br />

-0.5<br />

wherehx0Biistheaveragedivergenceofthebeamcomputedfromthebeamlet:x0B=PiPjwi;jx0j Figure4.20:Comparisonoftheexpectedphase-space,generatedviaparticleretracing(eachgrey dotsrepresentamacroparticle),withtheretrievedphase-space(representedwithbacklineiso-<br />

10%<br />

Fromallthepreviouscalculationsitisthenstraightforwardtocomputetheemittance<strong>and</strong>Twiss parameters:<br />

-1.0<br />

-8 -6 -4<br />

hx2i'Pix2iPjwi;j PiPjwi;j.<br />

-2 0 2 4 6 8<br />

x<br />

PiPjwi;j<br />

(mm)<br />

hxx0i'PixiPjx0jwi;j hx02i=PiPjx02 PiPjwi;j jwi;j<br />

thenumberofsampleinpositiondoesnotexceed5<strong>and</strong>thereforesomenedetailonthedistributioncouldbemissed.Indeeditispossibletomovethebeamonthemultislitmaskbymeansoftrace-spacedistributioniso-contourcanbededucedfromthebeamletprolesincethislattercorrespondstosampleofthedistributioninposition(2(xi;x0)).Unfortunatelyundernormaloperation Aswealreadypointedoutitisalsointerestingtohaveaccesstothetrace-spacedistribution.The (4.60)<br />

upstreammagneticsteerers,<strong>and</strong>foreachsettingofthismagnetrecordthebeamlets'projection.In suchacaseitispossibletollthetrace-spacecompletely;ofcoursethisrelyonaperfectstability<br />

x (mrad)

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