Accession Number : AD0719926

Title :   Boundary Problems at a Plane Interface Between Vacuum and Vlasov Plasma.

Descriptive Note : Technical rept.,

Corporate Author : NEW YORK UNIV BRONX DEPT OF ELECTRICAL ENGINEERING

Personal Author(s) : Sakuda,Kyohei

Report Date : JAN 1971

Pagination or Media Count : 72

Abstract : In the report, the boundary problem at the interface between vacuum and plasma is studied. The plasma is one component and homogeneous, but, anisotropic due to an external static magnetic field. The plasma is described by the linearized Vlasov equation. According to the author's best knowledge this is the first time that a kinetically described anisotropic boundary value problem is treated. In order to obtain the field quantities, i.e., first order electric and magnetic field, and the velocity distribution function, the dyadic Green's function is obtained, then by applying the completeness relationship, the complete set of eigenvectors are derived. Using superposition, all first order quantities are obtained in terms of the complete set of eigenvectors once the expansion coefficients are determined. The expansion coefficients are determined by the speculum assumption, the causality condition, and outgoing wave condition. (Author)

Descriptors :   (*PLASMA MEDIUM, BOUNDARY VALUE PROBLEMS), STABILITY, VACUUM, INTERFACES, ANISOTROPY, PARTIAL DIFFERENTIAL EQUATIONS, GREEN'S FUNCTION, WAVE FUNCTIONS, INTEGRAL EQUATIONS, POLARIZATION, DISPERSION RELATIONS, DISTRIBUTION FUNCTIONS, MAGNETIC FIELDS, DAMPING

Subject Categories : Plasma Physics and Magnetohydrodynamics

Distribution Statement : APPROVED FOR PUBLIC RELEASE