THE DEPENDENCE OF LONGITUDINAL PLASMA WAVE DAMPING AND GROWTH ON THE SHAPE OF THE VELOCITY DISTRIBUTION FUNCTION.

Abstract

This paper uses the transform and perturbation theory approach for the problem of longitudinal plasma oscillations. The plasma dispersion relation is shown to be a natural consequence of both the initial value problem and the problem of forced oscillations. Distribution functions of the form F sub O(v) = A sub n 1/(V-U) to the 2n power + sigma to the 2n power where n = integer are investigated for both the single and double hump case. For the forced oscillations problem wave growth is obtained in space when the driving frequency is less than the plasma frequency. Wave growth is also described for the double hump distribution. (Author)

Document Details

Document Type
Technical Report
Publication Date
Nov 15, 1965
Accession Number
AD0621913

Entities

People

  • Daniel P. Mioduszewski

Organizations

  • Pennsylvania State University

Tags

DTIC Thesaurus Topics

  • Dispersion Relations
  • Dispersions
  • Distribution Functions
  • Frequency
  • Motion
  • Oscillation
  • Perturbation Theory
  • Perturbations
  • Plasma Oscillation
  • Plasma Waves

Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics
  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Linear Algebra

Technology Areas

  • Space
  • Space - Hall-Effect Thruster