✦ LIBER ✦

Integral and Differential Equations of the Dynamical Theory of Electron Diffraction within a Distribution Formalism

✍ Scribed by A. Lannes

Publisher: John Wiley and Sons
Year: 1973
Tongue: English
Weight: 464 KB
Volume: 56
Category: Article
ISSN: 0370-1972
DOI: 10.1002/pssb.2220560212

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✦ Synopsis

Abstract

Using the distributions theory, an integral formulation is developed of electron dynamical theory including boundaries conditions. Two methods are proposed and the results are given in the general case of forward and backward diffusion. A differential formalism is derived in the second, first, and zeroth order. I n the column approximation, the Howie‐Whelan's formulation may be regarded as the convolution inverse of the integral form. It is suggested that this formalism is very useful as a basis for perturbation methods, diffuse scattering, and image formation.

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