Signal Variation in a Random Medium.

Abstract

An acoustic ray-wave synthesis is developed by combining the wave theory methods of Kirchoff and Helmholtz with the ray theory methods of Sommerfeld and Runge. The result is a generalization of the Kirchoff-Helmholtz integral formulation of the wave equation in which the kernels are ray theory expressions and in which an additional term appears. The ray theory kernels represent the gross properties of the fields while the extra term represents scattering by the medium and is the additional field required for an exact solution. The acoustic ray-wave synthesis is applied to the problem of signal variation in a random medium. The problem is found to separate naturally into three regions which are designated near field, intermediate field and far field.

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1975
Accession Number
ADA013207

Entities

People

  • O. D. Grace

Organizations

  • Naval Undersea Warfare Center

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Electromagnetic Scattering
  • Equations
  • Far Field
  • Integrals
  • Mathematics
  • Near Field
  • Partial Differential Equations
  • Scattering
  • Wave Equations
  • Wave Phenomena

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Wave Propagation and Nonlinear Chaotic Dynamics.