On the synchrotron radiation of ultrarelativistic electrons moving along curved spiral trajectory

Abstract

The synchrotron radiation of an ultrarelativistic charged particle moving along spiral trajectory winded on curved magnetic force line is considered. The radiation pattern has new properties on a comparison with the radiation in homogeneous magnetic field: there is a range of characteristic frequencies instead of one characteristic frequency, the peaks of the radiation pattern correspond to periodically repeated directions in space, which position depends on the frequency of radiation.