Exact solution of the Bragg-diffraction problem in sillenites

B.I. Sturman, David J. Webb, R. Kowarschik, E. Shamonina, K.H. Ringhofer

Research output: Contribution to journalArticlepeer-review


A method for the exact solution of the Bragg-difrraction problem for a photorefractive grating in sillenite crystals based on Pauli matrices is proposed. For the two main optical configurations explicit analytical expressions are found for the diffraction efficiency and the polarization of the scattered wave. The exact solution is applied to a detailed analysis of a number of particular cases. For the known limiting cases there is agreement with the published results.
Original languageEnglish
Pages (from-to)1813-1819
Number of pages7
JournalJournal of the Optical Society of America B
Issue number9
Publication statusPublished - 1 Sept 1994

Bibliographical note

This paper was published in Journal of the Optical Society of America B - Optical Physics and is made available as an electronic reprint with the permission of OSA. The paper can be found at the following URL on the OSA website: http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-11-9-1813. Systematic or multiple reproduction or distribution to multiple locations via electronic or other means is prohibited and is subject to penalties under law. © 1994 Optical Society of America.


  • Bragg-difrraction problem
  • photorefractive grating
  • sillenite crystals
  • Pauli matrices
  • optical configurations
  • analytical expressions
  • diffraction efficiency
  • polarization
  • scattered wave


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