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

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)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1971
Accession Number
AD0719926

Entities

People

  • Kyohei Sakuda

Organizations

  • New York University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Coefficients
  • Differential Equations
  • Distribution Functions
  • Eigenvectors
  • Equations
  • Magnetic Fields
  • Mathematical Analysis
  • Mathematics
  • Real Variables

Readers

  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Linear Algebra
  • Plasma Physics / Magnetohydrodynamics