Instabilities of waves in nonlinear disordered media

Physics – Condensed Matter – Disordered Systems and Neural Networks

Scientific paper

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6 pages, 2 PostScript figures, accepted to Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.85.736

We develop a self-consistent theory of temporal fluctuations of a speckle pattern resulting from the multiple scattering of a coherent wave in a weakly nonlinear disordered medium. The speckle pattern is shown to become unstable if the nonlinearity exceeds a threshold value. The instability is due to a feedback provided by the multiple scattering and manifests itself in spontaneous fluctuations of the scattered intensity. The development of instability is independent of the sign of nonlinearity.

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