FARADAY ROTATION CONCEPTS IN HOMOGENEOUS ANISOTROPIC MEDIA USING THE ROOTS OF THE BOOKER QUARTIC.

Abstract

A theoretical investigation is made of a possible method for calculating the apparent Faraday rotation of high frequency electromagnetic waves in a generalized ionosphere (anisotropic, including collisions). The method depends on the assumption that the W. K. B. solutions of the wave equations are valid. In the cases where this may not be entirely correct, a refinement in the approach is suggested. This is the addition of reflections at stratified layers which are commonly used to approximate a variable ionosphere that changes in the vertical direction only. The roots of the Booker quartic are used throughout this work in order to produce a generalized scheme for describing apparent Faraday rotation of plane waves in horizontal planes parallel to the assumed stratifications of the ionosphere. This procedure does not yield a direct relationship between electron density and Faraday rotation rate as is commonly used. The assumption is made that closed form equations are not necessary, since computer computation using iterative techniques are readily available. The analytical approach suggested here should lead to a test of accuracy of more simplified methods such as those that assume line of sight propagation and the validity of the longitudinal approximation to the refractive index calculations. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 15, 1969
Accession Number
AD0691338

Entities

People

  • Myung Ki Lee

Organizations

  • Pennsylvania State University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Electron Density
  • Electrons
  • Equations
  • Frequency
  • Ionosphere
  • Line Of Sight
  • Line Of Sight Propagation
  • Plane Waves
  • Refractive Index
  • Rotation
  • Wave Equations
  • Waves

Fields of Study

  • Physics

Readers

  • Approximation Theory.
  • Plasma Physics / Magnetohydrodynamics
  • Theoretical Analysis.

Technology Areas

  • Microelectronics