SpyLOG Sergey Vladimirov: Paper "On Modulational Instability..."

On Modulational Instability of Two Coupled Waves


S.V. Vladimirov and V.N. Tsytovich


Physics Letters A, Vol. 171, No. 5&6, Pp. 360-366 (1992)


Abstract

The modulational instability of two waves propagating in a cubically nonlinear medium is considered. It is shown that the correct theory in the case of comparatively small instability rates operates with "renormalized" equations as for a linear dielectric function, so for an effective third-order medium response. This renormalization is due to so-called interference terms. The appearance of the intereference terms is a specific feature of the two-mode modulational instability in comparison with the well-known instability of a single mode. The instability of two pump Langmuir waves is investigated.



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