MAGNETOPLASMA WAVE PROPERTIES

Abstract

A method is presented for unifying the analysis of various wave properties of a plasma in a magnetic field. An expression is derived for any microscopic perturbation quantity as an integral of an expectation value with respect to the equilibrium distribution. This yields permittivity and conductivity tensors, and hence the dispersion relation, or spatial and temporal decay or growth rates, for any specified velocity distribution. In the plane wave case, the averaging is eliminated and the calculation significantly simplified by transformation to 'inverse velocity space,' so that singular integrals do not appear and phenomena such as Landau damping become evident. Quasistatic and exact dispersion relations are derived for cold, Maxwellian, resonance, and drifting distributions. Collisions are accounted for as a viscous drag force along the orbits. Generalizations to other external force fields are discussed.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1967
Accession Number
AD0810513

Entities

People

  • Paul Diament

Organizations

  • Stanford University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boltzmann Equation
  • Collisions
  • Conductivity
  • Dispersion Relations
  • Dispersions
  • Distribution Functions
  • Doppler Effect
  • Electric Fields
  • Equations
  • Frequency
  • Integrals
  • Magnetic Fields
  • Perturbations
  • Plane Waves
  • Resonance
  • Transverse Waves
  • Waves

Fields of Study

  • Physics

Readers

  • Plasma Physics / Magnetohydrodynamics
  • Theoretical Analysis.

Technology Areas

  • Space
  • Space - Hall-Effect Thruster
  • Space - Orbital Debris