STUDY OF THE INTERACTION OF ELECTROMAGNETIC RADIATION AND HYDROMAGNETIC WAVES AND SHOCKS IN AN IONIZED MEDIUM

Abstract

A review of the classical Bailey-Martyn theory of cross modulation (Luxembourg effect) is given. A theory is developed for electromagnetic waves in a plasma leading to a dispersion relation that depends explicitly on the velocity-distribution function f(q,t) of the electrons. The complex index of refraction is determined by the isotropic part, of, f, and a formula for the time independent part of f is derived. The time dependent part of the function is reduced to a problem of determining the solution of a pair of simultaneous second order differential equations. Next follows a detailed discussion of the coupled pair of (quasi hypergeometric) differential equations. The magnetohydrodynamic interaction of a partially ionized gas with electromagnetic waves is considered and the resulting dispersion relation illustrates the coupling between mechanical and electromagnetic waves. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 14, 1961
Accession Number
AD0263530

Entities

People

  • Carl A. Accardo
  • Donald H. Menzel

Tags

DTIC Thesaurus Topics

  • Cross Modulation
  • Differential Equations
  • Dispersion Relations
  • Dispersions
  • Distribution Functions
  • Electromagnetic Radiation
  • Equations
  • Ionized Gases
  • Modulation
  • Radiation
  • Refraction
  • Refractive Index

Fields of Study

  • Mathematics
  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Plasma Physics / Magnetohydrodynamics

Technology Areas

  • Microelectronics