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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 Igor Zagorodnov and Martin Dohlus Beam Dynamics Group Meeting 29.01.08
Transverse wake For structure with symmetry group of rotations C4
FD - Frequency Domain TD - Time Domain MWS - CST Microwave Studio PS - CST Particle Studio ECHO – time-domain wakefield code Prony – Prony-Pisarenko method
Reference Cavity (PEC) ECHO + Prony CST PS + Prony
Reference Cavity (PEC) ECHO + Prony
Reference Cavity (Lossy) longitudinal (monopole) transverse (dipole)
Resonator Cavity (Lossy) longitudinal transverse
Asymptotic multi-bunch loss Asymptotic multi-bunch kick
Multi-bunch effect - bunch spacing
Long Range vs. Short Range Long Range Wakes Short Range Wakes
Geometry scaling (see R.E.Collin „Foundations for microwave engineering“) If we scale the cavity by factor l as then
Geometry scaling If we scale only the cavity by factor l as then