Diffraction of partially coherent beams on three-dimensional periodic structures and the angular shifts of the diffraction maxima

摘要

The scattering of electromagnetic fields of arbitrary state of coherence and polarization and of arbitrary spectrum by three-dimensional periodical structures is described in the first-order Born approximation and under assumptions of statistical stationarity and quasihomogeneity of the fields. It is shown that, in general, the angular dependence of the radiant intensity of scattered radiation is influenced and modified by the coherence properties of the incident radiation. The results are illustrated by examples that indicate that when x rays are scattered by a crystal, shifts of diffraction maxima due to partial coherence of incident beam may appear, both in the Laue method and in the powder method.