Higher-Order and Elastic Parabolic Equations for Wave Propagation in the Ocean

Abstract

A higher-order parabolic equation (PE) based on a Pade series and an elastic PE are applied to wave propagation in the ocean. In contrast to the standard PE models of underwater acoustics, the higher-order PE provides accurate solutions for problems involving arbitrarily long ranges, propagation nearly normal to the preferred direction, and large variations in sound speed. The most important applications of the higher-order PE are for problems involving elastic ocean bottoms. A new numerical approach based on centered differences is applied to handle interface conditions. The accuracy of the elastic PE is demonstrated with benchmark calculations. The elastic PE is applied to a range-dependent propagation problem. Reprints. (jhd)

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1990
Accession Number
ADA224712

Entities

People

  • Michael D. Collins

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Acoustic Propagation
  • Acoustic Waves
  • Acoustics
  • Attenuation
  • Elastic Waves
  • Equations
  • Fluids
  • Frequency
  • Molecular Dynamics
  • New York
  • Seabed
  • Square Roots
  • Transmission Loss
  • Wave Equations
  • Wave Propagation
  • Waves
  • Wide Angles

Readers

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