Computation of Acoustic Normal Modes in the Ocean Using Asymptotic Expansion Methods

Abstract

In this thesis, the use of the Wentzel-Kramers-Brillouin (WKB) Theory to obtain the solution to the Helmholtz Equation governing the acoustic normal modes is examined. Specifically, uniformly valid WKB solutions for four classes of acoustic normal modes in the ocean are derived and the accuracy of the WKB approximation is tested against some exact solutions. It is found that this inherently high frequency technique has an appreciable accuracy even at a frequency of 1 Hz. A product of this thesis is a computer program that solves for the WKB modes for an arbitrary sound speed profile.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1991
Accession Number
ADA246556

Entities

People

  • Fernando M. Pimentel

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Advanced Electronics
  • Air Platforms
  • C4I

DTIC Thesaurus Topics

  • Abstracts
  • Accuracy
  • Asymptotic Series
  • Bessel Functions
  • Computations
  • Computer Programs
  • Computers
  • Differential Equations
  • Eigenvalues
  • Eigenvectors
  • Equations
  • Error Analysis
  • Frequency
  • Helmholtz Equations
  • Numerical Analysis
  • Plane Waves
  • Wave Equations

Fields of Study

  • Mathematics
  • Physics

Readers

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