Abstract
The role played by fluid-dynamic nonlinearity during the evolution of the acoustic grating in stimulated Brillouin scattering is investigated by means of a forced Kuznetsov equation that is valid for simple dielectric fluids. In the nonlinear amplitude regime, the fluid-dynamic nonlinearity provides a bounding mechanism for the grating amplitude, replacing viscosity as the loss mechanism. After sufficiently long applications of the electrostrictive force, the grating takes the form of a traveling wave with a stationary profile. If the incident optical wave is intense enough, the stationary density profile displays a region of large gradient that may be identified as a shock wave. In this regime the amplitude of the grating ceases to be proportional to the incident optical field. The threshold for the onset of significant nonlinear behavior is formulated in terms of a simple inequality.
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