Temporal fluctuations of waves in weakly nonlinear disordered media
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.
Keywords
Cite
@article{arxiv.cond-mat/0101059,
title = {Temporal fluctuations of waves in weakly nonlinear disordered media},
author = {S. E. Skipetrov},
journal= {arXiv preprint arXiv:cond-mat/0101059},
year = {2016}
}
Comments
RevTeX, 15 pages (including 5 figures), accepted for publication in Phys. Rev. E