Jump to ContentJump to Main Navigation
Dynamical Theory of X-Ray Diffraction$
Users without a subscription are not able to see the full content.

André Authier

Print publication date: 2003

Print ISBN-13: 9780198528920

Published to Oxford Scholarship Online: January 2010

DOI: 10.1093/acprof:oso/9780198528920.001.0001

Show Summary Details
Page of

PRINTED FROM OXFORD SCHOLARSHIP ONLINE (www.oxfordscholarship.com). (c) Copyright Oxford University Press, 2020. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 09 April 2020

Ray tracing in slightly deformed crystals

Ray tracing in slightly deformed crystals

Chapter:
(p.355) 13 Ray tracing in slightly deformed crystals
Source:
Dynamical Theory of X-Ray Diffraction
Author(s):

ANDRÉ AUTHIER

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198528920.003.0013

This chapter is devoted to the propagation of X-ray wavefields in slightly deformed crystals where the deformation is small enough for the notions of dispersion surface and wavefields to be locally valid. A local reciprocal-lattice vector and local effective misorientation are defined. The trajectories of the wavefields (ray tracing) are determined using the Eikonal approximation. The case of a constant strain gradient is considered in detail and it is shown that the ray trajectories are bent, giving rise to the mirage effect; both the transmission and reflection geometries are considered. The diffracted intensities are calculated for an incident plane wave and an incident spherical wave. Shape of the Pendellösung fringes in a deformed crystal is discussed.

Keywords:   deformed crystals, constant strain gradient, ray tracing, effective misorientation, Eikonal approximation, plane waves, spherical waves, mirage effect

Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us .