Home > Publications database > Multiple Bragg reflection by a thick mosaic crystal. II. Simplified transport equation solved on a grid |
Journal Article | FZJ-2020-01777 |
; ;
2020
Blackwell
Oxford [u.a.]
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Please use a persistent id in citations: http://hdl.handle.net/2128/25050 doi:10.1107/S2053273320002065
Abstract: The generalized Darwin–Hamilton equations [Wuttke (2014). Acta Cryst. A70, 429–440] describe multiple Bragg reflection from a thick, ideally imperfect crystal. These equations are simplified by making full use of energy conservation, and it is demonstrated that the conventional two-ray Darwin–Hamilton equations are obtained as a first-order approximation. Then an efficient numeric solution method is presented, based on a transfer matrix for discretized directional distribution functions and on spectral collocation in the depth coordinate. Example solutions illustrate the orientational spread of multiply reflected rays and the distortion of rocking curves, especially if the detector only covers a finite solid angle.
Keyword(s): Instrument and Method Development (1st) ; Crystallography (2nd) ; Instrument and Method Development (2nd)
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