Interference effects in radiation by the relativistic electron in the structure of “amorphous matter layers-single crystal”

In the present work a theory of coherent radiation of a relativistic electron moving at a constant speed in a combined target, consisting of several amorphous matter layers and a monocrystalline layer is built. The expressions describing the amplitudes of diffracted transition radiation (DTR) and parametric X-ray radiation (PXR) are derived within the framework of two-wave approach of the dynamic diffraction theory. The cases of one and two amorphous matter layers in the structure were considered. Also the extreme case, when vacuum is considered as the second amorphous layer in the structure, is investigated. The expressions obtained describe a spectral-angular distribution of DTR, PXR and their interference in such a structure. The X-ray wave generation and propagation processes in crystalline layer are considered in Laue scattering geometry for the general case of asymmetric reflection.