Langevin description of speckle dynamics in nonlinear disordered media

Details Langevin description of speckle dynamics in nonlinear disordered media Langevin description of speckle dynamics in nonlinear disordered media

2002-06-25

arxiv.org/abs/cond-mat/0206475v2

Phys. Rev. E 67, 016601 (2003)

Physics

Condensed Matter

Disordered Systems and Neural Networks

6 pages, 3 figures

Scientific paper

10.1103/PhysRevE.67.016601

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 $\Omega_{\mathrm{max}}$, 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 $1/\Omega_\mathrm {max}$.

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