Examination of Beam Propagation in Misaligned Holographic Gratings and Comparison with the Acousto-optic Transfer Function Model for Profiled Beams

Author(s)

Monish Ranjan Chatterjee, University of DaytonFollow
David D. Reagan, State University of New York at Binghamton

Document Type

Article

Publication Date

7-1999

Publication Source

Optical Engineering

Abstract

A transfer function formalism developed earlier for the propagation of profiled optical beams through acousto-optic Bragg cells is revisited and applied to a thick holographic grating. The results based on the holographic coupled wave model and the acousto-optic multiple scattering model are shown to be compatible, and equivalent parameters such as the Q and grating strength are defined for the two systems. Results for a Gaussian spatial profile are numerically computed and compared. For the holographic grating, a profiled beam may be interpreted as an angular misalignment or Bragg-angle mismatch problem. The case of Bragg-wavelength mismatch is also investigated for the case of a polychromatic READ beam with a uniform and a Gaussian amplitude spectrum. The resulting spatial amplitude distribution of the scattered order at the grating output is plotted as a function of the departure from the correct Bragg direction

Inclusive pages

113-1121

ISBN/ISSN

0091-3286

Document Version

Published Version

Comments

This document is provided for download in compliance with the publisher's policy on self-archiving. Permission documentation is on file.

DOI: http://dx.doi.org/10.1117/1.602160

Copyright

Copyright © 1999, Society of Photo-Optical Instrumentation Engineers. One print or electronic copy may be made for personal use only. Systematic reproduction and distribution, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited.

Publisher

Society of Photo-optical Instrumentation Engineers

Volume

38

Peer Reviewed

yes

Issue

7

eCommons Citation

Chatterjee, Monish Ranjan and Reagan, David D., "Examination of Beam Propagation in Misaligned Holographic Gratings and Comparison with the Acousto-optic Transfer Function Model for Profiled Beams" (1999). Electrical and Computer Engineering Faculty Publications. 329.
https://ecommons.udayton.edu/ece_fac_pub/329