OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 20, Iss. 12 — Dec. 1, 2003
  • pp: 2307–2314

General solution of the coupled-wave equations of acousto-optics

Vincent Laude  »View Author Affiliations

JOSA A, Vol. 20, Issue 12, pp. 2307-2314 (2003)

View Full Text Article

Enhanced HTML    Acrobat PDF (191 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



The basic problem of the diffraction of an optical plane wave by an acoustic plane wave in an anisotropic homogeneous medium is considered. The acousto-optical interaction is considered indifferently of the isotropic or of the birefringent type. Coupled-wave equations are obtained rigorously and cast into an eigenvalue value problem. A general solution is obtained for the diffraction efficiency of diffracted orders, for any interaction length and diffraction regime. The theory includes the Bragg regime, the Raman–Nath regime, and all intermediate situations in the same formulation. The method of solution is both exact and computationally efficient. It is similar in character to the rigorous coupled-wave analysis of Moharam and Gaylord but differs by the choice of basis functions adapted to propagating rather than static gratings. Examples are given for acousto-optical interaction in paratellurite, TeO2.

© 2003 Optical Society of America

OCIS Codes
(160.1190) Materials : Anisotropic optical materials
(230.1040) Optical devices : Acousto-optical devices
(260.1960) Physical optics : Diffraction theory

Original Manuscript: April 15, 2003
Revised Manuscript: July 24, 2003
Manuscript Accepted: July 31, 2003
Published: December 1, 2003

Vincent Laude, "General solution of the coupled-wave equations of acousto-optics," J. Opt. Soc. Am. A 20, 2307-2314 (2003)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. W. R. Klein, B. D. Cook, “Unified approach to ultrasonic light diffraction,” IEEE Trans. Sonics Ultrason. SU-14, 123–134 (1967). [CrossRef]
  2. T. C. Poon, A. Korpel, “Feynman diagram approach to acousto-optic scattering in the near-Bragg region,” J. Opt. Soc. Am. 71, 1202–1208 (1981). [CrossRef]
  3. J. Xu, R. Stroud, Acousto-Optic Devices: Principles, Design, and Applications (Wiley, New York, 1992).
  4. R. W. Dixon, “Acoustic diffraction of light in anisotropic media,” IEEE J. Quantum Electron. QE-3, 85–93 (1967). [CrossRef]
  5. A. Korpel, Acousto-Optics (Marcel Dekker, New York, 1988).
  6. M. G. Moharam, T. K. Gaylord, “Rigorous coupled-wave analysis of planar-grating diffraction,” J. Opt. Soc. Am. 71, 811–818 (1981). [CrossRef]
  7. M. G. Moharam, T. K. Gaylord, “Three-dimensional vec-tor coupled-wave analysis of planar-grating diffraction,” J. Opt. Soc. Am. 73, 1105–1112 (1983). [CrossRef]
  8. R. A. Mertens, W. Hereman, J.-P. Ottoy, “The Raman–Nath equations revisited. II. Oblique incidence of the light—Bragg reflection,” in Proceedings of Ultrasonics International (Elsevier, New York, 1987), pp. 84–89.
  9. I. C. Chang, “Acoustooptic devices and applications,” IEEE Trans. Sonics Ultrason. SU-23, 2–22 (1976). [CrossRef]
  10. V. Voloshinov, “Close to collinear acousto-optical interaction in paratellurite,” Opt. Eng. 31, 2089–2094 (1992). [CrossRef]
  11. F. Verluise, V. Laude, Z. Cheng, Ch. Spielmann, P. Tournois, “Arbitrary control of phase and amplitude of ultrashort pulses with an acousto-optic programmable dispersive filter: application to pulse compression and pulse shaping,” Opt. Lett. 25, 575–577 (2000). [CrossRef]
  12. N. Uchida, A. Ohmachi, “Elastic and photoelastic properties of TeO2 single crystal,” J. Appl. Phys. 40, 4692–4695 (1969). [CrossRef]
  13. D. L. Hecht, “Multifrequency acoustooptic diffraction,” IEEE Trans. Sonics Ultrason. SU-24, 7–18 (1977). [CrossRef]
  14. Y. Tao, J. Xu, “Feynman diagram analysis of intermodulation products in Bragg cells,” J. Opt. Soc. Am. A 9, 2223–2230 (1992). [CrossRef]
  15. F. Verluise, V. Laude, J.-P. Huignard, P. Tournois, A. Migus, “Arbitrary dispersion control of ultrashort optical pulses using acoustic waves,” J. Opt. Soc. Am. B 17, 138–145 (2000). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


Fig. 1 Fig. 2 Fig. 3
Fig. 4 Fig. 5

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited