Transition radiation and Bragg resonances

Abstract

Both spontaneous and stimulated radiation emitted by an electron beam traversing a periodic medium are studied in the approximation of neglecting the influence of the field on the motion of the electrons. The results are valid both in the vicinity of the Bragg domain as well as far from it. In the latter case, we recover previous results with some corrections. In the Bragg domains the result is of interest since in this case the emission of quanta increases considerably.