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Advanced Optical Design for XFEL: Analyzing Space Charge Effects in Gaussian Distributions

This study investigates the optical design of X-ray Free Electron Lasers (XFEL), focusing on horizontal and vertical momenta tracking under various space charge conditions. We present analytic expressions for Gaussian distributions with respect to both slice and full bunches in parameter spaces ranging from 20 pC to 1 nC. The research incorporates simulations of Astra and estimates of SASE killer effects, exploring the correlation between beam modulation amplitude and energy spreads. Our findings contribute to optimizing XFEL performance by addressing space charge mismatch scenarios.

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Advanced Optical Design for XFEL: Analyzing Space Charge Effects in Gaussian Distributions

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  1. optics with SC XFEL, design optics BC0 BC1 BC2 horizontal vertical

  2. momenta tracking (non)linear self force space charge de-focusing analytic expression for gaussian distributions  with respect to slice or full bunch in the following: slice space charge parameter

  3. space charge parameter 20 pC 100 pC 250 pC 500 pC 1nC 1nC 500 pC 250 pC 100 pC 20 pC

  4. space charge miss-match match Bmag,x 20 pC 100 pC 250 pC 500 pC 1nC Bmag,y

  5. optics with/without space charge match 1 nC

  6. optics with/without space charge match 250 pC

  7. optics with/without space charge match 20 pC

  8. Astra simulations in preparation

  9. SASE killer effect

  10. analytic estimations (1d) numerical estimation (1d) “rftweak” full 3d calculation in preparation / running

  11. setup & optics

  12. modulation amplitude FLASH @ 19 nm undulator laser

  13. A B CD EF G H B D F H 100 keV modulation amplitude AB CD EF GH ~ 3 MeV rms energy spread

  14. 500 keV modulation amplitude ~ 3.5 MeV rms energy spread

  15. first 3d simulation 250 keV modulation amplitude current/A near end of beam line / beam line coordinate/ m bunch coordinate/ m current/A bunch coordinate/ m

  16. current/A beam line coordinate/ m bunch coordinate/ m “side view” current/A period of plasma oscillation  120 m beam line coordinate/ m

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