EFFECT OF A BOUNDARY ON THE BEAM PLASMA INSTABILITY

Abstract

In recent years there has been considerable interest in the spatial- temporal growth of instabilities arising when a beam is injected into a plasma. There does not appear, however, to be any theoretical treatment of the modification of the growth of an initial perturbation due to the presence of a spatial boundary. This modification will be illustrated for the case of a monoenergetic electron beam injected into a cold plasma with an infinitely massive ion background. The treatment is based on the linearized hydrodynamic equations and Maxwell's equations for the normalized densities, the drift velocities, and the electric field.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1969
Accession Number
AD0690128

Entities

People

  • E. A. Jackson
  • Kenneth Evans Jr.

Organizations

  • University of Illinois Urbana–Champaign

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Air Force
  • Boundaries
  • Collisions
  • Dispersion Relations
  • Electric Fields
  • Electron Beams
  • Electronics
  • Equations
  • Frequency
  • Illinois
  • Instability
  • Ionized Gases
  • Plane Waves
  • Plasma Instabilities
  • United States
  • United States Government
  • Universities

Fields of Study

  • Mathematics
  • Physics

Readers

  • Plasma Physics / Magnetohydrodynamics

Technology Areas

  • Directed Energy
  • Microelectronics