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Advanced 3D Calculation of Beam Dynamics and Energy Distribution in LCLS

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This document details the electro-dynamic computations for electron beams in the LCLS, using techniques such as periodic solvers to analyze energy distribution and phase space behavior. Initial calculations have shown significant knowledge on energy spread (3.5 MeV RMS) and current bunching across various configurations. The study also investigates the impact of trickle heating and tilted microbunches on energy dynamics, informed by adjustments to the R56 parameter and beta functions across a lengthy beamline. These insights are crucial for optimizing beam performance in high-energy physics applications.

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Advanced 3D Calculation of Beam Dynamics and Energy Distribution in LCLS

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  1. DEC 2013

  2. x / m y/ m vertical correctors quads undulators chicane 1 chicane 2 chicane 3

  3. MeV MeV non linear !!! ~ 3.5 MeV rms energy spread

  4. 3D Calculation Emod = 250 keV current / A bunch coordinate  1E-4 / m beam line coordinate / m

  5. JAN 2014 periodic SC solver (in test)

  6. Application: SK problem 250 keV X_0202p00000 1d 3d periodic ~ 1E6 particles non-periodic 20E6 particles

  7. Application: SK problem 250 keV X_0202p00000 same range, same (plot) density 1d 3d periodic ~ 1E6 particles non-periodic 20E6 particles

  8. in LCLS Trickle Heating after LH tilted microbunches

  9. in LCLS 12.2 m beta functions long. phase space energy distribution top view rms energy vs beamline coordinate

  10. in LCLS 15.7 m beta functions long. phase space energy distribution top view rms energy vs beamline coordinate

  11. in LCLS 17.2 m beta functions long. phase space energy distribution top view rms energy vs beamline coordinate 8 keV  11 keV

  12. in LCLS Trickle Heating normalized energy distribution rms energy /eV z = 19.1 m beamline coordinate 8 keV  11 keV

  13. in LCLS Trickle Heating normalized energy distribution rms energy /eV z = 50.1 m beamline coordinate

  14. FEB 2014

  15. again: SK setup but

  16. R56 = 100 µm 162.3 m long. phase space current / A (one period) bunching

  17. R56 = 100 µm 166.5 m long. phase space current / A (one period) bunching

  18. R56 = 100 µm 184.5 m long. phase space current / A (one period) bunching

  19. R56 = 100 µm 190.5 m long. phase space current / A (one period) bunching

  20. R56 = 141 µm 166.5 m 184.5 m long. phase space long. phase space current / A current / A bunching bunching

  21. R56 = 160 µm 166.5 m 184.5 m long. phase space long. phase space current / A current / A bunching bunching

  22. R56 = 180 µm 166.5 m 184.5 m long. phase space long. phase space current / A current / A bunching bunching

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