Integral Equations for Inhomogeneous Magnetoplasma Waves

Abstract

The problem of wave dispersion and stability for a class of hot, inhomogeneous, collisionless magnetoplasmas is reduced to the solution of an integral equation with well-behaved kernel. Admissible configurations include those for which the externally applied and internal ambipolar fields form a generalized harmonic oscillator. The full set of Maxwell's equations is used to arrive at self-consistent perturbation fields in terms of the equilibrium particle distributions. An illustrative example treats a magnetoplasma column with Gaussian radial profile and Maxwellian velocity distribution in a state of quasi-equilibrium.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1967
Accession Number
AD0820432

Entities

People

  • Paul Diament

Organizations

  • Stanford University

Tags

Communities of Interest

  • Advanced Electronics
  • Air Platforms

DTIC Thesaurus Topics

  • Abstracts
  • Bessel Functions
  • Differential Equations
  • Dispersion Relations
  • Distribution Functions
  • Eigenvalues
  • Electric Fields
  • Electromagnetic Fields
  • Equations
  • Frequency
  • Integral Equations
  • Integrals
  • Magnetic Fields
  • Numerical Analysis
  • Oscillators
  • Standards
  • United States

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Plasma Physics / Magnetohydrodynamics