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Theoretical study of phase conjugation in stimulated Brillouin scattering

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Abstract

We present a novel theoretical approach to the study of steady-state phase conjugation in backward-stimulated Brillouin scattering. In this approach the standard coupled-wave equations, including diffraction and pump depletion, are recast into a form that permits a perturbative solution. Comparison of these solutions with those obtained from direct integration of the full coupled-wave equations demonstrates that the analytical solutions are highly accurate under conditions of interest. At this level of approximation only four real, ordinary differential equations must be solved, independently of (1) the number of transverse points required to resolve the wave fronts and (2) the dimensionality of the simulation. The pump and Stokes intensities and wave fronts throughout the cell are uniquely determined by these four scalar solutions. Techniques for including first-order corrections are also discussed.

© 1989 Optical Society of America

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