NON-LOCAL ELECTRODYNAMICAL MODEL FOR EXTREMELY LOW FREQUENCY PROPAGATION IN THE UPPER IONOSPHERE

Abstract

A linear non-local electrodynamical model for low frequency electromagnetic propagation in the upper ionosphere is presented. Particle kinetics are treated by means of a Boltzmannlike equation for the velocity distributions. Close collisions of charged particles with neutral molecules in the slightly ionized atmospher are treated by means of Fokker-Planck operators with separate collision frequencies and diffusion coefficients for each species of the plasma. The particle kinetics are eliminated from the coupled Maxwell-Boltzmann equations (including a constant magnetic field) and the resulting electrodynamical equations are studied by transform methods. Dispersion relations for small amplitude plane-wave solutions in the infinite homogeneous equilibrium system are analyzed for the VLF and ELF frequency ranges in the ionosphere. Excitation problems for localized impulse sources are treated in various temperature ranges and for special magnetic field conditions. The general analytic properties of the non-local dielectric functions are studied at finite temperatures by a general spectral form method. (Author)

Document Details

Document Type
Technical Report
Publication Date
Mar 14, 1961
Accession Number
AD0260064

Entities

People

  • Arnold Cantor
  • Julian Keilson
  • Stanley Schneider

Organizations

  • Sylvania Electric Products

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boltzmann Equation
  • Charged Particles
  • Coefficients
  • Collisions
  • Diffusion Coefficient
  • Dispersion Relations
  • Equations
  • Extremely Low Frequency
  • Field Conditions
  • Frequency
  • Ionosphere
  • Kinetics
  • Magnetic Fields
  • Particles
  • Plane Waves

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Plasma Physics / Magnetohydrodynamics