SCATTERING OF X-RAYS BY LAYERED STRUCTURES.
STANFORD UNIV CALIF DEPT OF MATHEMATICS
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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
- Atomic and Molecular Physics and Spectroscopy