Modulational instability in nonlocal Kerr-type media with random parameters

Details Modulational instability in nonlocal Kerr-type media with random parameters Modulational instability in nonlocal Kerr-type media with random parameters

2007-04-09

arxiv.org/abs/0704.1093v1

Phys. Rev. A 75, 053819 (2007)

Nonlinear Sciences

Pattern Formation and Solitons

6 pages, 12 figures, revTeX, to appear in Phys. Rev. A

Scientific paper

10.1103/PhysRevA.75.053819

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.

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