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This paper discusses comprehensive calculations and simulations for particle beamline energy distribution and phase space analysis. It covers scenarios involving vertical correctors, undulators, and nonlinear energy spread. The study includes 3D calculations, Emittance modulation, and SC solver applications.
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x / m y/ m vertical correctors quads undulators chicane 1 chicane 2 chicane 3
MeV MeV non linear !!! ~ 3.5 MeV rms energy spread
3D Calculation Emod = 250 keV current / A bunch coordinate 1E-4 / m beam line coordinate / m
JAN 2014 periodic SC solver (in test)
Application: SK problem 250 keV X_0202p00000 1d 3d periodic ~ 1E6 particles non-periodic 20E6 particles
Application: SK problem 250 keV X_0202p00000 same range, same (plot) density 1d 3d periodic ~ 1E6 particles non-periodic 20E6 particles
in LCLS Trickle Heating after LH tilted microbunches
in LCLS 12.2 m beta functions long. phase space energy distribution top view rms energy vs beamline coordinate
in LCLS 15.7 m beta functions long. phase space energy distribution top view rms energy vs beamline coordinate
in LCLS 17.2 m beta functions long. phase space energy distribution top view rms energy vs beamline coordinate 8 keV 11 keV
in LCLS Trickle Heating normalized energy distribution rms energy /eV z = 19.1 m beamline coordinate 8 keV 11 keV
in LCLS Trickle Heating normalized energy distribution rms energy /eV z = 50.1 m beamline coordinate
again: SK setup but
R56 = 100 µm 162.3 m long. phase space current / A (one period) bunching
R56 = 100 µm 166.5 m long. phase space current / A (one period) bunching
R56 = 100 µm 184.5 m long. phase space current / A (one period) bunching
R56 = 100 µm 190.5 m long. phase space current / A (one period) bunching
R56 = 141 µm 166.5 m 184.5 m long. phase space long. phase space current / A current / A bunching bunching
R56 = 160 µm 166.5 m 184.5 m long. phase space long. phase space current / A current / A bunching bunching
R56 = 180 µm 166.5 m 184.5 m long. phase space long. phase space current / A current / A bunching bunching