Influence of the divergence of an electron beam crossing a single-crystal plate on the spectral-angular characteristics of coherent X-Ray radiation

Abstract

A dynamic theory of the coherent X-ray radiation of a divergent beam of relativistic electrons crossing a single-crystal plate in the Bragg scattering geometry is developed. The angular densities of parametric X-ray radiation and diffracted transition radiation of a beam of relativistic electrons are calculated numerically via averaging over the angular distribution of relativistic electrons in the beam in the form of a two-dimensional Gaussian distribution. It is shown that the influence of the divergence of a high-energy electron beam on the angular density of diffracted transition radiation is significantly greater than on that of parametric X-ray radiation.