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Modulational instability of electromagnetic waves in media with varying nonlinearity

F. Kh. AbdullaevTheoretical Division of the Physical–Technical Institute, Uzbek Academy of Sciences, G. Mavlyanova Street 2B, 700084 Tashkent-84, UzbekistanS. A. DarmanyanTheoretical Division of the Physical–Technical Institute, Uzbek Academy of Sciences, G. Mavlyanova Street 2B, 700084 Tashkent-84, UzbekistanS. BischoffInstitute of Mathematical Modelling, The Technical University of Denmark, DK-2800 Lyngby, DenmarkMads Peter SørensenInstitute of Mathematical Modelling, The Technical University of Denmark, DK-2800 Lyngby, Denmark
ABI

Annotatsiya

The process of modulational instability of nonlinear plane waves is investigated in media with periodically and randomly varying nonlinearity. The wave behavior is analyzed in the parametric instability region under the joint action of periodic modulation and the self-steepening effect, and a recurrence phenomena is observed for the nonlinear wave in the parametric resonance region. Stochastic parametric resonance is predicted in the case of a random media. The increment value of stochastic parametric resonance obtained numerically is in good agreement with the theoretical estimate.

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