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Skipetrov SE. Temporal fluctuations of waves in weakly nonlinear disordered media. Phys Rev E Stat Nonlin Soft Matter Phys. 2001;63(5):056614doi: 10.1103/PhysRevE.63.056614.
Skipetrov, S. E. (2001). Temporal fluctuations of waves in weakly nonlinear disordered media. Physical review. E, Statistical, nonlinear, and soft matter physics, 63(5), 056614. https://doi.org/10.1103/PhysRevE.63.056614
Skipetrov, S E. "Temporal fluctuations of waves in weakly nonlinear disordered media." Physical review. E, Statistical, nonlinear, and soft matter physics vol. 63,5 (2001): 056614. doi: https://doi.org/10.1103/PhysRevE.63.056614
Skipetrov SE. Temporal fluctuations of waves in weakly nonlinear disordered media. Phys Rev E Stat Nonlin Soft Matter Phys. 2001 May;63(5):056614. doi: 10.1103/PhysRevE.63.056614. Epub 2001 Apr 25. PMID: 11415038.
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Phys Rev E Stat Nonlin Soft Matter Phys. 2001 May;63(5):056614. doi: 10.1103/PhysRevE.63.056614. Epub 2001 Apr 25.

Temporal fluctuations of waves in weakly nonlinear disordered media.

Physical review. E, Statistical, nonlinear, and soft matter physics

S E Skipetrov

Affiliations

  1. Laboratoire de Physique et Modélisation des Milieux Condensés, Université Joseph Fourier, Maison des Magistères-CNRS, Bôite Postale 166, 38042 Grenoble 9, France.

PMID: 11415038 DOI: 10.1103/PhysRevE.63.056614

Abstract

We consider the multiple scattering of a scalar wave in a disordered medium with a weak nonlinearity of Kerr type. The perturbation theory, developed to calculate the temporal autocorrelation function of scattered wave, fails at short correlation times. A self-consistent calculation shows that for nonlinearities exceeding a certain threshold value, the multiple-scattering speckle pattern becomes unstable and exhibits spontaneous fluctuations even in the absence of scatterer motion. The instability is due to a distributed feedback in the system "coherent wave + nonlinear disordered medium." The feedback is provided by the multiple scattering. The development of instability is independent of the sign of nonlinearity.

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