Mathematical Foundations for Normal Mode Modelling in Waveguides

Abstract

This paper presents the mathematical foundation for wave theory modelling of acoustic propagation in leaky waveguides. In particular, the development of the normal mode solution for the field in a fluid layer overlying a fluid half-space is summarized in order to provide the basis for advanced modelling work. The three types of propagation supported by a leaky duct--trapped modes, leaky modes and interface waves--are developed along with several approximation techniques. Finally, the concepts are illustrated by means of a practical problem in shallow water acoustic transmission. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1982
Accession Number
ADA111941

Entities

People

  • Thomas B. Gabrielson

Organizations

  • Naval Air Warfare Center Warminster

Tags

Communities of Interest

  • Air Platforms
  • C4I
  • Sensors

DTIC Thesaurus Topics

  • Acoustic Propagation
  • Boundary Value Problems
  • Crystal Structure
  • Differential Equations
  • Eigenvalues
  • Equations
  • Geometry
  • Plane Waves
  • Plastic Explosives
  • Reflection
  • Shallow Water
  • Spherical Waves
  • Two Dimensional
  • Wave Equations
  • Wave Functions
  • Wave Propagation
  • Waves

Fields of Study

  • Mathematics

Readers

  • Electromagnetic Wave Scattering and Antenna Radiation Engineering

Technology Areas

  • Space