A computationally efficient method to solve the Takagi-Taupin equations for a large deformed crystal

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http://hdl.handle.net/10138/166044

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Honkanen , A-P , Monaco , G & Huotari , S 2016 , ' A computationally efficient method to solve the Takagi-Taupin equations for a large deformed crystal ' , Journal of Applied Crystallography , vol. 49 , no. 4 , pp. 1284–1289 . https://doi.org/10.1107/S1600576716010402

Title: A computationally efficient method to solve the Takagi-Taupin equations for a large deformed crystal
Author: Honkanen, Ari-Pekka; Monaco, Giulio; Huotari, Simo
Contributor: University of Helsinki, Department of Physics
University of Helsinki, Department of Physics
Date: 2016-08
Language: eng
Number of pages: 6
Belongs to series: Journal of Applied Crystallography
ISSN: 1600-5767
URI: http://hdl.handle.net/10138/166044
Abstract: We present a treatise on solving the Takagi-Taupin equations in the case of a strain field with an additional, spatially slowly varying component (owing to e.g. heat expansion or angular compression). We show that the presence of such a component in a typical case merely shifts the reflectivity curve as a function of wavelength or incidence angle, while having a negligible effect on its shape. On the basis of the derived result, we develop a computationally efficient method to calculate the reflectivity curve of a large deformed crystal. The validity of the method is demonstrated by compared computed reflectivity curves with experimental ones for bent silicon wafers. An excellent agreement is observed.
Subject: 114 Physical sciences
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