Chaotic dynamics of beam particle interacting with standing wave field of short cavity

Abstract

Chaotic dynamics of nonrelativistic beam particles interacting with a standing wave field of a short cavity under conditions closed to Cherenkov’s resonance was studied. The criterion of development of stochastic beam particle movement instability in the standing wave field was obtained. It was shown that at small field amplitude being excited in the cavity with the beam dynamics of beam particles is not regular because of overlapping the parametric resonanses. This causes appearance of back particles, i.e., the particles leaving the cavity across input end and results in decreasing the electron efficiency because of coherently emitting bunch distortion.