Effects of Dynamic Diffraction in Coherent X-ray Radiation of Relativistic Electrons in a Periodic Layered Medium

The work is devoted to the study of the possibility of manifestation of the effects of dynamic diffraction of coherent X-ray radiation of relativistic electrons in a periodic layered medium with three layers in a period. Coherent X-ray radiation is considered as a sum of parametric X-ray radiation and diffracted transition radiation. The dynamic theory of coherent X-ray relativistic electrons in the periodic layered medium with three layers in a period is developed. Within the framework of the two-wave approximation of the dynamic theory of diffraction, expressions in real form are obtained that describe the spectral-angular and angular density of radiation. The possibility of manifestation of the effects of dynamic diffraction of coherent X-ray radiation is investigated. The effect of asymmetry of the electron field reflection relative to the target surface on the spectral-angular densities of parametric X-ray and diffracted transition radiation is shown. The possibility of a bright manifestation of the effect of anomalous photoabsorption in parametric X-ray radiation in the considered three-layer structure is shown. This effect is analogous to the well-known Borrmann effect for X-rays in a single crystal.