Accession Number : AD0605562

Title :   PLASMAS OSCILLATIONS AND DISPERSION IN THE PRESENCE OF A MAGNETIC FIELD,

Corporate Author : TRW SPACE TECHNOLOGY LABS LOS ANGELES CALIF

Personal Author(s) : Kantor,Myron

Report Date : 26 NOV 1958

Pagination or Media Count : 1

Abstract : A study is made of harmonic oscillations which may exist in a fully ionized, collision-free, homogeneous plasma subjected to a steady magnetic field. The plasma consists of a binary mixture of electrons and ions for which electrical neutrality is preserved. The system is described by writing the Maxwell second-order electrodynamic wave equation and the linearized equations of macroscopic motion of the particles. By transforming the vector equations to a homogeneous set of scalar algebraic equations and equating the determinant of the system to zero, one obtains for the characteristic equation of the plasma a quartic in the square of the propagation vector. This fourth degree polynomial implies, in general, the existence of four distinct modes of plasma wave propagation. It is shown that the various kinds of hydromagnetic waves, including positive-ion oscillations and Alfven waves, all belong to the fundamental or lowest of the four modes of propagation. In general, the group and phase velocities are frequency dependent (the medium is dispersive) and are complicated functions of the angle between the steady magnetic field and the propagation vector or wave normal. (Author)

Descriptors :   (*OSCILLATION, EQUATIONS), MAGNETOHYDRODYNAMICS, PROPAGATION, PLASMA MEDIUM, ELECTRONS, IONS, MAGNETIC FIELDS, VECTOR ANALYSIS, POLYNOMIALS, (U)POLYNOMIALS

Distribution Statement : APPROVED FOR PUBLIC RELEASE