Phase Advance for Wideband Dampers With Notch Filters

McGinnis, Dave

Fermi National Accelerator Laboratory

关键词: Betatrons;    Kicker Magnets;    Beam Dynamics Accelerators;    Amplitudes;    43 Particle Accelerators;   

DOI  :  10.2172/984605
RP-ID  :  FERMILAB-PBAR-NOTE-630
RP-ID  :  AC02-07CH11359
RP-ID  :  984605

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来源: UNT Digital Library

【 摘 要 】

Consider a simple damper system shown in Figure 1. The phase advance between pickup and kicker is {phi}{sub k}. Assume a particle passes through the pickup at time t=0 with a complex betatron amplitude: {rvec A}{sub pu} = A{sub o}. When the particle passes through the kicker, the betatron amplitude of the particle will be: {rvec A}{sub kr} = A{sub o}e{sup j{phi}k}. Assume that the damper is timed so that the delay through the electronics matches the time of flight for the particle between pickup to kicker. The difference in phase between the kicker betatron amplitude and the pickup amplitude must be: arg({rvec A}{sub kr})-arg({rvec A}{sub pu}) = (2n + 1) {pi}/2 and {phi}{sub k} = (2n+1) {pi}/2 because the pickup measures the position and the kicker corrects an angle.