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Title: X-ray third-order nonlinear dynamical diffraction in a crystal

Abstract

The dynamic diffraction of an X-ray wave in a crystal with a third-order nonlinear response to external field strength has been theoretically investigated. General equations for the wave propagation in crystal and nonlinear Takagi equations for both ideal and deformed crystals are derived. Integrals of motion are determined for the nonlinear problem of dynamic diffraction. The results of the numerical calculations of reflectivity in the symmetric Laue geometry for an incident plane wave and the intensity distributions on the output crystal surface for a point source are reported as an example.

Authors:
 [1]
  1. Yerevan State University, Faculty of Physics (Armenia)
Publication Date:
OSTI Identifier:
22472058
Resource Type:
Journal Article
Journal Name:
Crystallography Reports
Additional Journal Information:
Journal Volume: 60; Journal Issue: 7; Other Information: Copyright (c) 2015 Pleiades Publishing, Inc.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1063-7745
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; CRYSTALS; EQUATIONS OF MOTION; NONLINEAR PROBLEMS; REFLECTIVITY; SURFACES; SYMMETRY; WAVE PROPAGATION; X-RAY DIFFRACTION

Citation Formats

Balyan, M. K., E-mail: mbalyan@ysu.am. X-ray third-order nonlinear dynamical diffraction in a crystal. United States: N. p., 2015. Web. doi:10.1134/S1063774515070020.
Balyan, M. K., E-mail: mbalyan@ysu.am. X-ray third-order nonlinear dynamical diffraction in a crystal. United States. https://doi.org/10.1134/S1063774515070020
Balyan, M. K., E-mail: mbalyan@ysu.am. 2015. "X-ray third-order nonlinear dynamical diffraction in a crystal". United States. https://doi.org/10.1134/S1063774515070020.
@article{osti_22472058,
title = {X-ray third-order nonlinear dynamical diffraction in a crystal},
author = {Balyan, M. K., E-mail: mbalyan@ysu.am},
abstractNote = {The dynamic diffraction of an X-ray wave in a crystal with a third-order nonlinear response to external field strength has been theoretically investigated. General equations for the wave propagation in crystal and nonlinear Takagi equations for both ideal and deformed crystals are derived. Integrals of motion are determined for the nonlinear problem of dynamic diffraction. The results of the numerical calculations of reflectivity in the symmetric Laue geometry for an incident plane wave and the intensity distributions on the output crystal surface for a point source are reported as an example.},
doi = {10.1134/S1063774515070020},
url = {https://www.osti.gov/biblio/22472058}, journal = {Crystallography Reports},
issn = {1063-7745},
number = 7,
volume = 60,
place = {United States},
year = {Tue Dec 15 00:00:00 EST 2015},
month = {Tue Dec 15 00:00:00 EST 2015}
}