Langevin description of speckle dynamics in nonlinear disordered media

Abstract

We formulate a Langevin description of dynamics of a speckle pattern resulting from the multiple scattering of a coherent wave in a nonlinear disordered medium. The speckle pattern exhibits instability with respect to periodic excitations at frequencies $\Omega$ below some ${\Omega }_{\max }$, provided that the nonlinearity exceeds some $\Omega$-dependent threshold. A transition of the speckle pattern from a stationary state to the chaotic evolution is predicted upon increasing nonlinearity. The shortest typical time scale of chaotic intensity fluctuations is of the order of $1/{\Omega }_{\max }$.

6 pages, 3 figures

References in corpus (1)

• Temporal fluctuations of waves in weakly nonlinear disordered media

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