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

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

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

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文档介绍:Vincent Laude Vol. 20, No. 12/December 2003/J. Opt. Soc. Am. A 2307
General solution of the coupled-wave equations of
acousto-optics
Vincent Laude
Laboratoire de Physique et Me´trologie des Oscillateurs, Centre National de la Recherche Scientifique,
Unite´ Propre de Recherche 3203, Associe´ a` l’Universite´ de te´, 32 avenue de l’Observatoire,
F-25044 Besanc¸on Cedex, France
Received April 15, 2003; revised manuscript received July 24, 2003; accepted July 31, 2003
The basic problem of the diffraction of an optical plane wave by an acoustic plane wave in an anisotropic ho-
mogeneous 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 in-
termediate situations in the same formulation. The method of solution is both exact putationally
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 paratellu