On the Influence of the Parameters of a Layered Target and an Electron Beam on Diffracted Transition Radiation and Parametric X-Rays

The parametric X-rays and diffracted transition radiation of a beam of relativistic electrons crossing a target with a periodic layered structure in the Bragg scattering geometry are studied. The general case of asymmetric reflection of the electron field relative to the target surface is considered, i.e., the case when the target layers are located at an arbitrary angle to its surface. Expressions are obtained within the two-wave approximation of the dynamic theory of diffraction, which describe the angular densities of parametric X-rays and diffracted transition radiation and their interference. Numerical calculations of the angular densities of radiation are performed for various values of the target and electron-beam parameters. A dependence of the angular densities of parametric X-ray radiation and diffracted transition radiation on the divergence of the electron beam and relationship between the thicknesses of the periodic structure layers are demonstrated. With an increase in the electron energy, the dependence of the angular density of the diffracted transition radiation on the electron-beam divergence increases.