Modulational instability in nonlocal Kerr-type media with random parameters
Pattern Formation and Solitons
2009-11-13 v1 Chaotic Dynamics
Abstract
Modulational instability of continuous waves in nonlocal focusing and defocusing Kerr media with stochastically varying diffraction (dispersion) and nonlinearity coefficients is studied both analytically and numerically. It is shown that nonlocality with the sign-definite Fourier images of the medium response functions suppresses considerably the growth rate peak and bandwidth of instability caused by stochasticity. Contrary, nonlocality can enhance modulational instability growth for a response function with negative-sign bands.
Cite
@article{arxiv.0704.1093,
title = {Modulational instability in nonlocal Kerr-type media with random parameters},
author = {E. V. Doktorov and M. A. Molchan},
journal= {arXiv preprint arXiv:0704.1093},
year = {2009}
}
Comments
6 pages, 12 figures, revTeX, to appear in Phys. Rev. A