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Multiple Bragg reflection by a thick mosaic crystal
Author(s) -
Wuttke Joachim
Publication year - 2014
Publication title -
acta crystallographica section a
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.742
H-Index - 83
ISSN - 2053-2733
DOI - 10.1107/s205327331400802x
Subject(s) - optics , polar coordinate system , azimuth , bragg's law , monte carlo method , scattering , physics , reflection (computer programming) , distortion (music) , geometry , mathematics , diffraction , amplifier , statistics , optoelectronics , cmos , computer science , programming language
Symmetric Bragg‐case reflections from a thick, ideally imperfect, crystal slab are studied mostly by analytical means. The scattering transfer function of a thin mosaic layer is derived and brought into a form that allows for analytical approximations or easy quadrature. The Darwin–Hamilton equations are generalized, lifting the restriction of wavevectors to a two‐dimensional scattering plane. A multireflection expansion shows that wavevector diffusion can be studied independently of the real‐space coordinate. Combining analytical arguments and Monte Carlo simulations, multiple Bragg reflections are found to result in a minor correction of the reflected intensity, a moderate broadening of the reflected azimuth angle distribution, a considerable modification of the polar angle distribution, and a noticeable shift and distortion of rocking curves.