Random Rays, Geometric Acoustics, and the Parabolic Wave Equation

Abstract

A theory of random rays, based on the stochastic mechanical interpretation of the parabolic wave equation, is proposed. The relation of these rays to those of geometric acoustics is discussed. The Feynman-Kac formula is used to represent the acoustic wave field as a Wiener integral, and it is shown that this representation agrees with the Markov approximation in a simple case.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1984
Accession Number
ADA141398

Entities

People

  • T. Dankel Jr.

Organizations

  • University of North Carolina at Chapel Hill

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Acoustics
  • Boltzmann Equation
  • Brownian Motion
  • Differential Equations
  • Equations
  • Fokker Planck Equations
  • Integrals
  • North Carolina
  • Partial Differential Equations
  • Path Integrals
  • Probability
  • Quantum Mechanics
  • Random Variables
  • Refraction
  • Schrodinger Equation
  • Wave Equations
  • Wave Propagation

Fields of Study

  • Physics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Plasma Physics / Magnetohydrodynamics