TY  - JOUR
AU  - Bornemann, Folkmar
AU  - Li, Yun Yvonna
AU  - Wuttke, Joachim
TI  - Multiple Bragg reflection by a thick mosaic crystal. II. Simplified transport equation solved on a grid
JO  - Acta crystallographica / A Foundations and advances Section A
VL  - 76
IS  - 3
SN  - 2053-2733
CY  - Oxford [u.a.]
PB  - Blackwell
M1  - FZJ-2020-01777
SP  - 376-389
PY  - 2020
AB  - 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.
LB  - PUB:(DE-HGF)16
C6  - pmid:32356788
UR  - <Go to ISI:>//WOS:000531751400010
DO  - DOI:10.1107/S2053273320002065
UR  - https://juser.fz-juelich.de/record/875056
ER  -