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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φ OUT (RF−Deg)<br />
5<br />
0<br />
−A−<br />
Nominal<br />
Trim Quad Off<br />
Trim Quad Reversed<br />
−5<br />
−40 −20 0 20 40<br />
5<br />
0<br />
−B−<br />
Nominal<br />
Trim Quad Off<br />
Trim Quad Reversed<br />
−5<br />
−40 −20 0 20 40<br />
−C−<br />
−D−<br />
Figure3.16:Demonstrationoflongitudinaldierence-orbit:phase-phasetransfermapmeasured<br />
5<br />
5<br />
(A)<strong>and</strong>simulated(B)forthreedierentsettingsofthetrimquadrupole.Plot(C)<strong>and</strong>(D)correspondtodierenceofthemeasuredmappresentedinthetoprawforrespectivelytheexperiment Off−Nominal<br />
<strong>and</strong>thesimulation.<br />
Off−Nominal<br />
0<br />
0 Reversed−Nominal<br />
Reversed−Nominal<br />
−5<br />
−5<br />
−40 −20 0 20 40<br />
−40 −20 0 20 40<br />
themomentumcompaction,R56.Sincethequadrupoleintroduceapathlengthvariationlinearly 3.4.7Measurementofhinjoutitransfermap EectsoftheTrimQuadrupoles Thetrimquadrupolefamilyhastwoeectsontheenergy-phasecorrelation.Firstlyitmodies<br />
φ (RF−Deg)<br />
φ (RF−Deg)<br />
IN IN<br />
Theresultsarepresentedingure3.18:alineartofthemeasuredtransfermaphasbeenper-<br />
Wehavemeasured,usingthenominalopticallatticesetuptheenergy-phasetransfermapatboth pickupcavitieslocateddownstreamarc1<strong>and</strong>2(pickupcavity#3<strong>and</strong>#4)onthegure3.12. dependentontheenergyoset.Alsoviaitssecondordercoecient,thetrimquadrupolesalso introducedaquadraticallyenergyosetdependentpathlengthvariationwhichresultsinamodicationofthenonlinearmomentumcompactionT566=houtj20i. φ OUT (RF−Deg)
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