Accession Number : AD0265536

Title :   NON-LINEARIZED THEORY OF TRANSVERSE PLASMA OSCILLATIONS

Corporate Author : GENERAL ELECTRIC CO SYRACUSE N Y

Personal Author(s) : ENOCH,JACOB

Report Date : SEP 1961

Pagination or Media Count : 1

Abstract : Exact, non-linearized solutions of the Vlasov equation for a homogeneous, neutral plasma with infinitely heavy ions in the presence of transverse electromagnetic waves are found. The dispersion relation is developed both for stationary waves and for the general initial value problem. For stationary waves the result is analogous to that obtained by Van Kampen in his linearized treatment of the longitudinal plasma oscillations. The initably insignificant in the transverse case. It is proved that no growing wave solutions exist. A distribution function which is consistent with a single wave packet solution of the wave equation, and which propagates subject to an arbitrary root of the dispersion relation, is constructed. The intimate relationship between the initial electron distribution function and the dispersion relations al value problem approach yields results similar to those of Landau but the damping term is probably insignificant in the transverse case. It is proved that no growing wave solutions exist. A distribution function which is consistent with a single wave packet solution of the wave equation, and which propagates subject to an arbitrary root of the dispersion relation, is constructed. The intimate relationship between the initial electron distribution function and the dispersion relations is discussed. (Author)

Descriptors :   *ELECTROMAGNETIC RADIATION, *NONLINEAR SYSTEMS, *PLASMAS(PHYSICS), DIFFERENCE EQUATIONS, DISTRIBUTION THEORY, ELECTRIC FIELDS, INTEGRAL TRANSFORMS, NUMERICAL INTEGRATION, OSCILLATION, THEORY

Distribution Statement : APPROVED FOR PUBLIC RELEASE