High Brightness Electron Beam Diagnostics and their ... - CASA
High Brightness Electron Beam Diagnostics and their ... - CASA
High Brightness Electron Beam Diagnostics and their ... - CASA
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2<br />
1<br />
−5 −3 −1 1 3 5<br />
k (m q −2<br />
) or k (m s −3<br />
0<br />
Figure3.11:Momentumcompaction<strong>and</strong>nonlinearmomentumcompactionforonearcversusthe secondfamilyoftrimquadrupolesexcitationstrength(kq).nonlinearmomentumcompactionversus<br />
−1<br />
thesecondfamilysextupolesstrengthks(forthiscalculation,thetrimquadrupolesareunexcited).<br />
M from trim quadrupoles<br />
56<br />
−2<br />
phase-energycorrelation).Inthesemeasurements,thebunchisconsideredasamacroparticle<strong>and</strong> thetime-of-ight(TOF)ofitscentroidismeasuredbetweenthelocationswherethevariationis<br />
T /10 from trim quadrupoles<br />
556<br />
−3<br />
−4<br />
Thephase-phasecorrelation,hinjoutirequiresthemeasurementoftime-of-ight(TOF)ofthe impressed<strong>and</strong>apointwherethetimeofarrivalcanbeestimated. CompressionEciency<br />
)<br />
FELdriver-accelerator,thisquantityisonlymeasuredstartingfromthephotocathodesinceitis bunchcentroidversusavariationofits\injectionphase"inthesectionwewishtostudy.Inthe theonlylocationthe\injectionphase"incanbevariedorthogonallywithrespecttotheinjection withrespecttothemasteroscillator(<strong>and</strong>alltheRF-elementsettingsarekeptconstant).Thephase variationanarbitrarylocationdownstreamthephotocathodeoutasafunctionoftheinjection phaseperturbationinwrites:out=@out energybyvaryingthephaseofthephoto-cathodedrivelaserthatilluminatesthephotocathode<br />
Thereforebyvaryinginaknownfashiontheinjectionphase<strong>and</strong>measuringtheassociatedresponse downstream,weobtainthephase-phaseresponseofthesectioncomprisedbetweentheperturbation <strong>and</strong>themeasurementstation.Fromthisphase,usingthest<strong>and</strong>ardnotationofthetransport<br />
@inindef =hinjoutiin (3.11)<br />
M 56 or T 556 /10 (meters)<br />
T 566 /10 from sextupoles
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