Analytic Ray Tracing Using Ermakov Invariants

Abstract

A method for the rapid generation of raypaths and ionograms in model ionospheres is presented. The ionosphere is first cast into the form of a soluble potential well with range dependent parameters. An analytic calculation of raypaths may then be carried out in the paraxial approximation using the theory of Ermakov invariants. The correspondence of rays to full wave coherent states and the possibility of ionospheric convergence zones is discussed. Keywords: Raytracing, Ionosphere, Potential well, Ducted propagation, High frequency, Paraxial approximation, Parabolic approximation, Scalar wave equation.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1989
Accession Number
ADA226219

Entities

People

  • Stanford P. Yukon

Organizations

  • Rome Laboratory

Tags

Communities of Interest

  • Energy and Power Technologies
  • Space

DTIC Thesaurus Topics

  • Acoustic Waves
  • Acoustics
  • Computer Programming
  • Computer Programs
  • Computers
  • Convergence Zones (Sonar)
  • Differential Equations
  • Equations
  • Equations Of Motion
  • Frequency
  • Ionosphere
  • Mainframe Computers
  • Morse Potential
  • Ray Tracing
  • Underwater Sound
  • Wave Equations
  • Wave Functions

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Space/Atmospheric Physics.