Multiple Bragg reflection by a thick mosaic crystal. II. Simplified transport equation solved on a grid

Folkmar Bornemann, Yun Yvonna Li, Joachim Wuttke

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

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.

Original languageEnglish
Pages (from-to)376-389
Number of pages14
JournalActa Crystallographica Section A: Foundations and Advances
Volume76
DOIs
StatePublished - 1 May 2020

Keywords

  • Darwin-Hamilton equations
  • mosaic crystals
  • multiple scattering
  • spectral collocation

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