TY  - JOUR
A1  - Bornemann, Folkmar
A1  - Li, Yun Yvonna
A1  - Wuttke, Joachim
T1  - Multiple Bragg reflection by a thick mosaic crystal. II. Simplified transport equation solved on a grid
Y1  - 2020
VL  - 76
IS  - 3
SP  - 376
EP  - 389
JF  - Acta Crystallographica Section A
DO  - 10.1107/S2053273320002065
DO  - 10.23689/fidgeo-4472
N2  - 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.
UR  - http://resolver.sub.uni-goettingen.de/purl?gldocs-11858/8818
ER  -