The Initial Value Problem in a Class of Non-Uniform Plasmas,

Abstract

The response of a plasma with a spatially non-uniform equilibrium state has usually been discussed in the framework of WKBJ approximations to the governing integral equations, or of multiple-slab models, or by computer studies. Using approximate integral equations derived from the fully non-uniform orbit-integral equation for self-consistent electrostatic fields, closed-form expressions for the plasma response under arbitrary initial conditions are derived by perturbation-iteration techniques. The method is applied to the time-asymptotic evaluation of the response in a non-uniform plasma supporting a negative-energy mode and to the effect of non-uniform perturbations on a Landau-dampted electron plasma wave. (Author)

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1973
Accession Number
AD0771577

Entities

People

  • Robert Joel Rahn

Organizations

  • Massachusetts Institute of Technology

Tags

DTIC Thesaurus Topics

  • Computers
  • Electrons
  • Electrostatic Fields
  • Equations
  • Integral Equations
  • Integrals
  • Iterations
  • Mathematical Analysis
  • Mathematics
  • Perturbations
  • Plasma Waves
  • Test And Evaluation

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Plasma Physics / Magnetohydrodynamics

Technology Areas

  • Microelectronics
  • Space
  • Space - Hall-Effect Thruster