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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-15 -10 -5 0 5 10 15<br />
k1MQG2F09 (1/m 2 0.006<br />
quadscan with min=3m -x direction<br />
quadscan with min=3m -y direction<br />
quadscan with min=6m -x direction<br />
0.005<br />
quadscan with min=6m -y direction<br />
0.004<br />
0.003<br />
0.002<br />
intheseregions.Thenpriortomeasuringemittance,thedispersionshouldbemeasured<strong>and</strong> insignicantimpactonthetransversemeasurementperformedwithbeamprolemonitorlocated eventuallycorrectedsothatspuriousdispersioniswithinthetoleratedvalue.Toestablishsuch settingoftheupstreamopticstoachievetwodierentminimumbetatronvalue,3<strong>and</strong>6m. importanttoassesswhatarethetoleranceonthevalueofthis\spurious"dispersiontohavean Figure4.13:Comparisonofbeamspotsizevariationversusquadrupolestrengthfortwodierent<br />
0.001<br />
criterion,wewritethebeamrmsspotsizeasx=p~"(1+2)whereisadimensionless<br />
0.0<br />
spuriousdispersionfordierentvaluesof,<strong>and</strong>thencomputetheemittance.Ingure4.16we beamprolemeasurementstationbyusingamagneticopticscode<strong>and</strong>superimposetheeectsof constant(2(E=E)2)=(~")(Eisthermsenergyspread).Wesimulatethebeamsizeatagiven<br />
)<br />
giveanupperlimitonthespuriousdispersion
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