On the dynamical effects in the characteristics of transition radiation produced by a relativistic electron in a single crystal plate

This article reports on the transition radiation (TR) of a relativistic electron crossing a crystalline plate, which in the Bragg’s scattering geometry is considered within the framework of the X-ray diffraction dynamical theory. The expressions for TR and diffracted transition radiation (DTR) spectral–angular distribution received allow to discuss the manifestation of the dynamical approach. It is shown, that the spectral–angular characteristics of TR and DTR essentially depend on the orientation of the crystal plate surface when the angle between the electron velocity and the atomic planes is kept constant. This phenomenon is explained by the modification of the frequency range of total external reflection of the radiation under a changing target surface orientation.