Rocking Curves of X-Ray Asymmetric Bragg Diffraction with Two-Dimensional Curvature of Wave Front

• Published in: Journal of contemporary physics Vol. 53; no. 2; pp. 166 - 174
• Main Author: Balyan, M. K.
• Format: Journal Article
• Language: English
• Published: Moscow Pleiades Publishing 01-04-2018; Springer Nature B.V
• Subjects: Asymmetry; Curvature; Curves; Green's functions; Mathematical analysis; Particle and Nuclear Physics; Physics; Physics and Astronomy; Reflectance; Wave diffraction; Wave reflection; X-ray diffraction; rocking curve; wave front; Bragg diffraction
• ISSN: 1068-3372; 1934-9378
• DOI: 10.3103/S1068337218020093

The X-ray asymmetric Bragg diffraction in a perfect semi-infinite crystal with plane entrance surface is considered taking into account the two-dimensional curvature of the wave front of an incident wave. An expression for reflection coefficient using the Green function is obtained in the approximation of locally plane wave and the rocking curves are investigated as functions of angular departure from the selected exact Bragg direction in the diffraction plane and in the direction perpendicular to the diffraction plane. The shape, position and dimensions of total reflection region of rocking curves are studied depending on the degree of asymmetry of diffraction geometry. The requirements to the spatial and temporal coherence for obtaining the rocking curves are estimated.