Accession Number : AD0646145

Title :   SCATTERING OF X-RAYS BY LAYERED STRUCTURES.

Descriptive Note : Technical rept.,

Corporate Author : STANFORD UNIV CALIF DEPT OF MATHEMATICS

Personal Author(s) : Jones,William R.

Report Date : 12 DEC 1966

Pagination or Media Count : 130

Abstract : The diffraction of X-rays by perfect layered crystal structures is analyzed, with particular attention given to both the incidence of plane waves and collimated beams on a crystal plate of finite breadth set for Laue diffraction (or substantial transmission). The plane wave diffraction effects are obtained by a mode of analysis employing integral equations and the Wiener-Hopf method of solution; and it is shown that the analytical expressions for the transmission coefficients agree, as regards their leading terms, with the results of the two wave approximation for the diffraction theory of periodic structures derived by von Laue and others. The X-ray beam analysis, based on the principle of superposition of plane wave components, is developed to yield directly the spatial profiles of the transmitted beams and the phenomenon of beam separation; a significant outcome of the present approach is that the calculated profiles remain finite at the beam edges, in contrast with the singular behavior exhibited by reviously given distributions. (Author)

Descriptors :   (*X RAY DIFFRACTION, *SCATTERING), CRYSTAL STRUCTURE, COLLIMATORS, PARTICLE BEAMS, INTEGRAL EQUATIONS, FOURIER ANALYSIS, WAVE PROPAGATION, ATOMIC STRUCTURE, MONOCHROMATIC LIGHT, ELECTROMAGNETIC PROPERTIES

Subject Categories : Atomic and Molecular Physics and Spectroscopy

Distribution Statement : APPROVED FOR PUBLIC RELEASE