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Dynamical Theory of X-Ray Diffraction$
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André Authier

Print publication date: 2003

Print ISBN-13: 9780198528920

Published to Oxford Scholarship Online: January 2010

DOI: 10.1093/acprof:oso/9780198528920.001.0001

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Properties of the electromagnetic field— propagation and scattering

Properties of the electromagnetic field— propagation and scattering

(p.28) 2 Properties of the electromagnetic field— propagation and scattering
Dynamical Theory of X-Ray Diffraction


Oxford University Press

This chapter gives a theoretical description of the basic properties of electromagnetic radiation. Maxwell's equations are first reviewed; the expressions of electrodynamic potentials in the vacuum and in polarized media are then given. The classic theory of the scattering of X-rays by electrons is described (Thomson scattering). The dielectric susceptibility (polarizability) of matter for X-rays and the Fourier expansions of its real and imaginary parts in a periodic medium (index of refraction, atomic scattering factor, and absorption coefficient) are discussed. A detailed account of Ewald's dispersion theory that is at the base of Ewald's dynamical theory is then presented. The propagation equation of X-rays, which is used throughout the book, is derived from Maxwell's equations according to Laue's basic assumptions. The last part of the chapter is devoted to specular reflection and Fresnel relations.

Keywords:   Maxwell's equations, electrodynamic potentials, Thomson scattering, atomic scattering factor, absorption coefficient, index of refraction, dispersion theory, propagation equation, specular reflection, Fresnel relations

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