ANALYSIS OF COMPRESSIBLE PLASMA CONTAINED IN A WAVEGUIDE.

Abstract

The analysis of a compressible plasma which is contained in a waveguide of general cross-section is presented. The plasma is described by the linearized multifluid equations and the source terms are allowed to be quite general. Anistropic effects which are caused by the presence of an externally applied constant axial magnetic field are included. Two distinct approaches are used in the analysis of these equations. The first is classical and the second considers the system of equations as a linear operator and presents a formal spectral representation of this operator. For both approaches the electron fluid model is analyzed in considerable detail and then the analysis is generalized to be applicable to the multifluid model. A general set of boundary conditions is presented and is shown to guarantee that a solution to linearized multifluid equations which satisfy these boundary conditions is unique. The boundary conditions which are used because of physical considerations are shown to belong to this set of mathematically meaningful boundary conditions. (Author)

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1965
Accession Number
AD0622408

Entities

People

  • M. I. Sancer

Organizations

  • Case Western Reserve University

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Electrons
  • Equations
  • Guarantees
  • Magnetic Fields
  • Waveguides

Readers

  • Calculus or Mathematical Analysis
  • Fluid Dynamics.
  • Fluid Mechanics and Fluid Dynamics.

Technology Areas

  • Microelectronics