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A Caltech Library Repository Feedhttp://www.rssboard.org/rss-specificationpython-feedgenenFri, 08 Dec 2023 12:50:31 +0000Perturbation Treatment of High-Energy-Electron Diffraction from Imperfect Crystals
https://resolver.caltech.edu/CaltechAUTHORS:20150127-080422520
Authors: Lewis, Alan L.; Villagrana, Robert E.
Year: 1972
DOI: 10.1103/PhysRevB.6.4382
A modified-Bloch-wave expansion is used to develop a theory of high-energy-electron diffraction from imperfect crystals. To compute these new Bloch waves one must solve a linear hyperbolic system in n unknowns. Scattering among the Bloch waves is controlled by the matrix elements of the perturbing potential, and various approximations to this scattering are discussed. The hyperbolic system is transformed to normal form; in making this transformation, the unknown functions become the plane-wave amplitudes of the Darwin representation. The normal form reveals the region of determinacy of the system: a cone generated by the diffracted beams. The contraction of this cone to a line (the column approximation) is discussed in terms of the Bloch-wave scattering.https://authors.library.caltech.edu/records/dexdx-n1e17