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Plane Wave Diffraction by a Deformed Crystal
Author(s) -
Kulda J.,
Lukáš P.
Publication year - 1989
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221530203
Subject(s) - eigenfunction , bragg's law , deformation (meteorology) , diffraction , physics , scattering , plane (geometry) , reflection (computer programming) , neutron diffraction , optics , neutron , neutron scattering , crystal (programming language) , simple (philosophy) , computational physics , condensed matter physics , geometry , mathematics , quantum mechanics , programming language , philosophy , eigenvalues and eigenvectors , epistemology , meteorology , computer science
Abstract The dynamical description of neutron propagation in distorted crystals is reconsidered for cases of small deformation gradients where the effect of interbranch scattering (creation of new wavefields) remains negligible. Under such conditions the neutron eigenfunctions in both, transparent and absorbing crystals follow adiabatically the variation along the beam path of the deviation from the Bragg condition. With their help the rocking curve is derived explicitly for the symmetrical Laue case and the extension to asymmetrical geometries is discussed in detail. The resulting formulas, though lengthy, posses a simple enough structure to facilitate qualitative as well as quantitative discussions of the behaviour of the Pendellösung oscillations and anomalous transmission under the influence of deformation or of external fields on the diffracting neutrons.