Energy limit in cyclotron autoresonance acceleration

Abstract

A multimegawatt gyroharmonic converter depends critically on the parameters of a spatiotemporally modulated gyrating electron beam prepared using a cyclotron autoresonance accelerator (CARA). This paper extends a prior analysis of CARA [B. Hafizi, P. Sprangle, and J. L. Hirshfield, Phys. Rev. E 50, 3077 (1994)] to identify an approximate constant of the motion and, therefore, to give limits to the beam energy from CARA that can be utilized in a harmonic converter. It is also shown that particles are strongly phase trapped during acceleration in CARA and thus are insensitive to deviations from exact autoresonance. This fact could simplify construction of the up-tapered guide magnetic field in the device and augurs well for production of high-quality multimegawatt beams using CARA.