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Implicit Scheme for Wake Field Calculations

Explore the usage of an implicit scheme for wake field calculations in particle accelerators, focusing on stability, phase velocity, and dispersion effects. Presented at various conferences and meetings.

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Implicit Scheme for Wake Field Calculations

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  1. Implicit scheme for wake field calculations A.Novokhatski October 19, 2001 Beam Instability Group Meeting, SLAC, Stanford

  2. VLEPP Linear Collider All Union Conference On ParticleAccelerators Dubna 1978

  3. Later Presentations 1998

  4. Longitudinal fields

  5. Relativistic bunch Vt

  6. Main Equation

  7. Explicit Scheme

  8. Scheme Stability

  9. Phase Velocity in Free Finite-difference Domain

  10. Dispersion

  11. Implicit Scheme

  12. Solution

  13. Calculation Time

  14. B.Zotter comparison

  15. Loss factor comparison

  16. Wake Potential Comparison Typical dispersion effect ABCI Step=1mm MAFIA Step=1mm ABCI Step=0.25mm NOVO Step=1mm

  17. RF-cavity for SOLEIL-project

  18. Wake Fields due to Surface Roughness. Simulations. 0.001 ? Random bumps <d>=5 m <g>=50 m in the tube R=5mm Bunch s=10 m

  19. Surface Roughness Wake Fields Chasing a Bunch

  20. Application to NLC. Full Accelerating Section.

  21. PEP-II cavity. Electric force lines.

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