Hostname: page-component-848d4c4894-75dct Total loading time: 0 Render date: 2024-05-22T08:38:59.153Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Bel'kov, S. A. & Tsytovich, V. N. 1979 Soviet Phys. JETP 49, 656.Google Scholar
Gailitis, A. K. 1965 Izv. Latv. Ak. Nauk 4, 13 (in Russian).Google Scholar
Goldman, M. V. 1984 Rev. Mod. Phys. 56, 709.Google Scholar
Kono, M., Skoric, M. M. & Ter, Harr D. 1980 Phys. Lett. 78A, 240.Google Scholar
Luther, G. G. & McKinstrie, C. J. 1990 J. Opt. Soc. Am. B7, 1125.Google Scholar
Mckinstrie, C. J. & Bingham, R. 1989 Phys. Fluids B1, 230.Google Scholar
McKinstrie, C. J. & Luther, G. G. 1990 Physica Scripta T30, 31.CrossRefGoogle Scholar
Rudakov, L. I. & Tsytovich, V. N. 1978 Phys. Rep. 40, 1.Google Scholar
Shapiro, V. D. & Shevchenko, V. I. 1984 Basic Plasma Physics, vol. 2 (ed. Rosenbiuth, M. N. & Sagdeev, R. Z.). North Holland, p. 123.Google Scholar
Thornhill, S. G. & Ter, Harr D. 1978 Phys. Rep. 43, 45.Google Scholar
Vedenov, A. A. & Rudakov, L. I. 1965 Soviet Phys. Dokl. 9, 1073.Google Scholar
Vladimirov, S. V. & Tsytovich, V. N. 1990 Soviet Phys. JETP 71, 715.Google Scholar
Vladimirov, S. V. & Tsytovich, V. N. 1991 Proceedings of the 20th International Conference on Phenomena in Ionized Gases, Pisa, vol. 3 (ed. Palleschi, V., Vaselli, M.). IFAM-CNR., p. 637.Google Scholar