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Theory of modulational interaction of two coupled waves. Part 1. General formulae for a nonlinear medium

Published online by Cambridge University Press:  13 March 2009

Sergey V. Vladimirov  and
Vadim N. Tsytovich
Sergey V. Vladimirov
Affiliation:
Theoretical Department, General Physics Institute, Vavilova 38, 117942 Moscow, Russia
Vadim N. Tsytovich
Affiliation:
Theoretical Department, General Physics Institute, Vavilova 38, 117942 Moscow, Russia
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Abstract

The modulational interaction of two waves propagating in a cubically nonlinear medium is considered. It is shown that the correct theory operates with ‘renormalized’ equations for the linear dielectric function and for an effective third-order medium response. This renormalization is due to so-called interference terms. The appearance of interference terms is a specific feature of the two-mode modulational instability in comparison with the well-known instability of a single mode.

Type
Research Article
Information
Journal of Plasma Physics , Volume 49 , Issue 2 , April 1993 , pp. 197 - 205
Copyright
Copyright © Cambridge University Press 1993

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References

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