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Long Range Wake Potential of BPM in Undulator Section

Long Range Wake Potential of BPM in Undulator Section. Igor Zagorodnov and Martin Dohlus Beam Dynamics Group Meeting 29.01.08. BPM Geometry (Dirk Lipka). Longitudinal wake. Transverse wake. For structure with symmetry group of rotations C 4. FD - Frequency Domain TD - Time Domain

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Long Range Wake Potential of BPM in Undulator Section

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  1. Long Range Wake Potential of BPM in Undulator Section Igor Zagorodnov and Martin Dohlus Beam Dynamics Group Meeting 29.01.08

  2. BPM Geometry (Dirk Lipka)

  3. Longitudinal wake

  4. Transverse wake For structure with symmetry group of rotations C4

  5. FD - Frequency Domain TD - Time Domain MWS - CST Microwave Studio PS - CST Particle Studio ECHO – time-domain wakefield code Prony – Prony-Pisarenko method

  6. Reference Cavity (PEC) ECHO + Prony CST PS + Prony

  7. Reference Cavity (PEC) ECHO + Prony

  8. Reference Cavity (Lossy) longitudinal (monopole) transverse (dipole)

  9. Resonator Cavity (Lossy) longitudinal transverse

  10. Asymptotic multi-bunch loss Asymptotic multi-bunch kick

  11. Multi-bunch effect - bunch spacing

  12. Long Range vs. Short Range Long Range Wakes Short Range Wakes

  13. Comparison with beam parameters in the undulator

  14. Geometry scaling (see R.E.Collin „Foundations for microwave engineering“) If we scale the cavity by factor l as then

  15. Geometry scaling If we scale only the cavity by factor l as then

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