Robinson-type Criteria for Beam and Rf Cavity with Delayed, Voltage-proportional Feedback
نویسنده
چکیده
We generalize the Robinson stability criteria, for a charged particle beam interacting with the radio-frequency cavity resonator that is responsible for accelerating it, to the case that the resonator is equipped with a delayed voltageproportional feedback.
منابع مشابه
SLAC-PUB-562 March 1971 BEAM - RF CAVITY STABILITY WITH FEEDBACK CONTROL IN A CIRCULAR ACCELERATOR*
The stability of a beam in an RF accelerating cavity in a storage ring or circular accelerator has been studied by K. Robinsonl* 2 and many others. Robinson has found that under certain assumptions the beam-RF system with no feedback control is stable against “center-of-charge” oscillations if the cavity resonance frequency, wo, lies in restricted ranges. In particular, if ~0 is less than the R...
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