DEVIATIONS FROM ADIABATIC BEHAVIOR DURING CAPTURE OF PARTICLES INTO AN R.F. BUCKET

Abstract
Capture of particles into stable synchrotron oscillations for a constant frequency accelerating voltage is studied for various voltage turn-on programs. Results are given for various linear voltage turn-on rates, and for two rates of turn-on with a non-linear voltage function V(t) designed to insure a constant degree of adiabaticity for all particles captured. A satisfactory form of the voltage turn-on function V(t) is found for which particles are captured into stable sychrotron oscillations along curves in the phase space whose areas differ from the adiabatic value by an rms deviation of about 12%. (auth)

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