Acoustic Ray Wave Synthesis.

Abstract

An acoustic ray-wave synthesis is developed by combining the wave theory methods of Kirchoff with the ray theory methods of Sommerfeld and Runge. The result is a generalization of the Kirchoff 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. This extra term is approximately evaluated for the case of back-scattering by weak random sound speed variations. This evaluation shows that while the source of the scattering lies with the first and second derivatives of the index of refraction, it is the second derivative that is the dominant source of scattering. Further, a back-scattering cross section is derived that agrees with a previously derived results. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1974
Accession Number
AD0783056

Entities

People

  • O. D. Grace

Organizations

  • Naval Undersea Warfare Center

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Equations
  • Integrals
  • Mathematics
  • Partial Differential Equations
  • Physical Properties
  • Refraction
  • Refractive Index
  • Scattering
  • Scattering Cross Sections
  • Test And Evaluation
  • Wave Equations

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Wave Propagation and Nonlinear Chaotic Dynamics.