Parametric x-ray radiation along the velocity of relativistic electron in a Bragg scattering geometry

Abstract

Based on the dynamic scattering theory, forward parametric x-ray radiation (FPXR) of a relativistic electron is investigated in a single crystal plate in a Bragg scattering geometry. Analytical expressions for the spectralangular distribution of FPXR and transition radiation (TR) including the crystal surface orientation with respect to a system of diffracting atomic planes are derived, which allow one to identify the conditions under which a contribution from FPXR is considerable even in the case of a thick absorbing crystal.

Spectrum broadening effect in coherent x-ray radiation of a relativistic electron crossing a single-crystal plate

“…The influence of reflection asymmetry (δ ≠ 0) on the spectralangular characteristics of PXR and DTR in the Bragg geometry for a semi-finite crystal was investigated in [9,10], for the case of a plane-parallel plate -in [11] (transition radiation of a relativistic electron) and in [12] (diffraction transition radiation). More recently in [13] it was shown that in the Bragg geometry reflection asymmetry exerts a considerable influence both on characteristics of parametric x-ray radiation along the velocity of a relativistic electron and on the contributions to the forward PXR yield from the two branches of the dispersion equation solution.…”