Canonical Eigenvalues. Part 2. Application to One-Layer, Bounded, Underwater Acoustic Ducts

Abstract

This report applies the general theory of canonical eigenvalues, as developed by the authors, to underwater sound propagation in one-layer bounded duct. For this type of duct, the eigenvalues apply to an entire class of single- layer profiles (slopes may be either negative or positive). Three classes are considered with different upper and lower boundary conditions. They are free- rigid, free-free, and rigid-rigid boundary pairs. Numerical results are given for phase velocity, group velocity, and eigenfunction normalization coefficient, all plotted as functions of frequency. (Author) (kr)

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1990
Accession Number
ADA227451

Entities

People

  • David F. Gordon
  • Fell Hosmer
  • Melvin A. Pedersen

Tags

Communities of Interest

  • C4I
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Acoustics
  • Boundaries
  • Coefficients
  • Eigenvalues
  • Eigenvectors
  • Equations
  • Frequency
  • Group Velocity
  • Intermediate Frequencies
  • Mathematical Analysis
  • Phase Velocity
  • Plastic Explosives
  • Standing Waves
  • Underwater Acoustics

Fields of Study

  • Mathematics

Readers

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