Airy Functions and the Recursive Ray Acoustics Algorithm.

Abstract

Two main problems are analyzed and discussed in this thesis. First, a detailed derivation of the exact solution for the inhomogeneous Helmholtz equation for a free-space propagation problem when the square of the index of refraction is a linear function of depth and the input is an omnidirectional point source is performed and discussed. The exact solution is in terms of Airy and Bairy functions. Second, the accuracy of the Recursive Ray Acoustics (RRA) Algorithm was tested by generating test cases using a sound-speed profile with the square of the index of refraction a linear function of depth. The acoustic pressure (amplitude and phase) calculations obtained from the RRA Algorithm were then compared to the exact Airy functional solution. Computer simulation results indicate that both solutions are in good agreement.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1994
Accession Number
ADA290182

Entities

People

  • Robert S. House

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Accuracy
  • Acoustics
  • Algorithms
  • Amplitude
  • Computational Science
  • Computer Programs
  • Computers
  • Differential Equations
  • Engineering
  • Equations
  • Helmholtz Equations
  • Numerical Analysis
  • Partial Differential Equations
  • Refraction
  • Refractive Index
  • Three Dimensional
  • Transfer Functions

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Wave Propagation and Nonlinear Chaotic Dynamics.

Technology Areas

  • Space
  • Space - Spacecraft Maneuvers