Abstract
The resonance parametric interaction of magnetoacoustic modes in a plane plasma waveguide with an inhomogeneous transverse electron-density profile is analyzed. Shortened equations are obtained in an MHD approximation by solution of a nonlinear boundary value problem for the complex amplitudes of the MHD-wave triplet for an arbitrary plasma-parameter profile. A formula for the increment of decomposition instability is derived for the particular case of a parabolic dependence of plasma density.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Literature Cited
V. P. Dvoryakovskii, S. M. Petrukhin, and S. M. Fainshtein, Izv. Akad. Nauk SSSR, FAO,14, No. 1, 21 (1976); Fiz. Plazmy,5, No. 1, 79 (1979).
V. P. Dvoryakovskii and S. M. Fainshtein, Izv. Vyssh. Uchebn. Zaved., Radiofiz.,24, No. 5, 533 (1981).
A. V. Gul'el'mi, MHD Waves in Near-Earth Plasma [in Russian], Nauka, Moscow (1979).
M. Admas, An Introduction to the Theory of Optical Waveguides [Russian translation], Mir, Moscow (1984).
E. R. Priest, Solar Magnetohydrodynamics [Russian translation], Mir, Moscow (1985).
L. T. Tepley and R. K. Lanshoff, J. Geophys. Res.,71, 1499 (1966).
Additional information
Scientific-Research Radio-Physics Institute. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 37, No. 4, pp. 435–443, April, 1994.
Rights and permissions
About this article
Cite this article
Nakaryakov, V.M., Tamoikin, V.V. & Fainshtein, S.M. Resonance interaction of magnetoacoustic waves in refracting plasma waveguide. Radiophys Quantum Electron 37, 268–273 (1994). https://doi.org/10.1007/BF01046027
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01046027