Nonlinear quasioptics of electromagnetic waves in a plasma in a constant magnetic field

Journal Article · Tue May 01 04:00:00 EDT 1979 · Sov. J. Plasma Phys. (Engl. Transl.); (United States)

OSTI ID:5565109

Litvak, A G; Shakhova, N A

A general analysis is presented of the propagation of quasi-optical beams of electromagnetic waves in a magnetized plasma. A nonlinear parabolic equation is derived for the complex amplitude of a steady-state wave beam. This equation is applicable for the propagation of the beam at an arbitrary angle from the magnetic field (except for certain singular directions). Equations incorporating transport effects are written for low-frequency perturbations of the density and magnetic field which are caused by the ponderomotive force. These equations are used to analyze the self-effects of wave beams in the particular cases in which the wave packets are propagating longitudinally and transversely with respect to the magnetic field. The self-effects are also analyzed for beams of whistlers propagating at an arbitrary angle from H/sub O/ and for beams of electromagnetic waves in a strongly magnetized plasma. The critical self-focusing power, the characteristic dimensions for the most rapidly growing perturbations, and the corresponding growth rates of these perturbations against the background of a plane nonlinear wave are all found. Furthermore, modulation processes are studied for the example of one-dimensional waves of envelope whistlers. Conditions for the existence of solitons of envelope whistlers are found.

• Research Organization: Institute of Applied Physics, Academy of Sciences of the USSR, Gor'kii
• OSTI ID: 5565109
• Journal Information: Sov. J. Plasma Phys. (Engl. Transl.); (United States), Journal Name: Sov. J. Plasma Phys. (Engl. Transl.); (United States) Vol. 5:3; ISSN SJPPD
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700107* -- Fusion Energy-- Plasma Research-- Instabilities
700108 -- Fusion Energy-- Plasma Research-- Wave Phenomena
DIFFERENTIAL EQUATIONS
ELECTROMAGNETIC RADIATION
EQUATIONS
INSTABILITY
MAGNETIC FIELDS
NOISE
NONLINEAR PROBLEMS
PARAMETRIC INSTABILITIES
PLASMA
PLASMA INSTABILITY
PLASMA MACROINSTABILITIES
QUASI PARTICLES
RADIATIONS
RADIO NOISE
RADIOWAVE RADIATION
SCHROEDINGER EQUATION
SOLITONS
WAVE EQUATIONS
WHISTLERS