A Frequency Dependent Ray Theory

Abstract

Practical computational procedures for obtaining ray theoretical solutions to the inhomogeneous Helmholtz equation resort to a well known approximation. The computational method presented here enables one to trace rays without resort to the ray theory approximation provided a solution to the Helmholtz equation is available by independent means. In other words, given a solution to the Helmholtz equation, the exact rays for that case can be computed. The new ray theory therefore serves, not as computational method, but as a new method of displaying solutions to the Helmholtz equation. Keywords: Ray theory; Acoustic propagation.

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Document Details

Document Type
Technical Report
Publication Date
Mar 28, 1988
Accession Number
ADA201380

Entities

People

  • Terry L. Foreman

Organizations

  • University of Texas at Austin

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Acoustic Propagation
  • Acoustic Waves
  • Acoustics
  • Asymptotic Series
  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Diffraction
  • Equations
  • Helmholtz Equations
  • Mechanics
  • Partial Differential Equations
  • Physics
  • Physics Laboratories
  • Underwater Acoustics
  • Wave Equations
  • Wave Propagation

Fields of Study

  • Mathematics

Readers

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