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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Franco Gori
  • Vol. 29, Iss. 1 — Jan. 1, 2012
  • pp: 68–77

Design of a general point focusing crystal geometry for x-ray spectroscopy

Sayyed Jalal Pestehe and Golamreza Askari Germi  »View Author Affiliations


JOSA A, Vol. 29, Issue 1, pp. 68-77 (2012)
http://dx.doi.org/10.1364/JOSAA.29.000068


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Abstract

A nearly exact general equation for geometrical angular deviations from the Bragg angle over entire curved crystal surfaces is derived using a toroidally curvilinear coordinate system and applied on the nine conventional crystal geometries. Although the derived formula confirms Wittry’s results for the first five cases, it shows considerable differences for the more important cases, such as 45 ° point focusing, general point focusing, and Berreman geometries. The effective scattering areas for the mentioned cases have been derived, plotted, and interpreted. A point-to-point focusing crystal geometry is introduced, and it is shown that it approaches Wittry’s and spherical plane–spherical Johansson geometries as θ B 90 ° and θ B 0 ° , respectively.

© 2012 Optical Society of America

OCIS Codes
(050.1960) Diffraction and gratings : Diffraction theory
(260.1180) Physical optics : Crystal optics
(300.6560) Spectroscopy : Spectroscopy, x-ray
(340.0340) X-ray optics : X-ray optics

ToC Category:
X-ray Optics

History
Original Manuscript: August 9, 2011
Revised Manuscript: October 15, 2011
Manuscript Accepted: October 20, 2011
Published: December 7, 2011

Citation
Pestehe Sayyed Jalal and Askari Germi Golamreza, "Design of a general point focusing crystal geometry for x-ray spectroscopy," J. Opt. Soc. Am. A 29, 68-77 (2012)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-29-1-68

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