ACOUSTIC RAYS IN AN ARBITRARY MOVING INHOMOGENEOUS MEDIUM

Abstract

Two different formulations are presented in terms of ordinary second- order vector differential equations for acoustic rays in a three-dimensional medium moving with an arbitrary velocity (either subsonic or supersonic), and having an arbitrary index of refraction. The first formulation has the arc length of the ray as independent variable, while the second one is given in terms of a canonical variable and is equivalent to Keller's Hamiltonian formulation.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1970
Accession Number
AD0711319

Entities

People

  • Bernd Zondek
  • Peter Ugincius

Organizations

  • Naval Surface Warfare Center Dahlgren Division

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Acoustic Properties
  • Cartesian Coordinates
  • Cauchy Problem
  • Computational Science
  • Differential Equations
  • Digital Computers
  • Equations
  • Equations Of Motion
  • Flow
  • Geometry
  • Molecular Mechanics Methods
  • Numerical Integration
  • Partial Differential Equations
  • Refraction
  • Refractive Index
  • Supersonic Flow
  • Three Dimensional

Fields of Study

  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Wave Propagation and Nonlinear Chaotic Dynamics.

Technology Areas

  • Hypersonics
  • Hypersonics - Hypersonic Flow