Applications and Time-Domain Solution of Higher-Order Parabolic Equations in Underwater Acoustics

Abstract

A higher-order time-domain parabolic equation (TDPE) is derived from a Pade series solved numerically, and applied to underwater acoustics problems. The higher-order TDPE solution is accurate for problems involving very wide propagation angles and large variations in sound speed. Its applications include propagation over a hard ocean bottom. The higher-order TDPE is valid in both shallow and deep water. The accuracy of the model is demonstrated with benchmark calculations. The model is applied to illustrate mode cutoff in a range-dependent ocean. Keywords: Reprints, Transients, Distributed sensors, Coherence, Detection, Classification.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1989
Accession Number
ADA226637

Entities

People

  • Michael D. Collins

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Attenuation
  • Deep Water
  • Diffraction
  • Equations
  • Frequency
  • Frequency Domain
  • Losses
  • Plane Waves
  • Refraction
  • Seabed
  • Shallow Water
  • Time Domain
  • Transmission Loss
  • Underwater Acoustics
  • Water
  • Wave Equations
  • Wide Angles

Readers

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