SLAC-PUB-562 March 1971 BEAM - RF CAVITY STABILITY WITH FEEDBACK CONTROL IN A CIRCULAR ACCELERATOR*
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چکیده
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 RF frequency, Y, and the beam current is less than a critical value, IBC, the system is always stable. It may be possible, however, to increase the value of IBC and the range of stable frequency by the use of feedback. This possibility has been investigated for a beam-RF system with feedback control of the cavity voltage amplitude and phase.
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