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

Abstract

A higher-order parabolic equation and the corresponding high-order time-domain parabolic equation are derived from a Pade series and solved numerically. These models provide accurate solutions for problems involving very-wide-angle propagation (e.g., propagation in the nearfield or over a hard ocean bottom); propagation in domains in which sound-speed variations are large (e.g., propagation in deep water, deep within the ocean bottom, in high-speed ocean bottoms, and possible of different wave types); and propagation out to very long ranges. The possibility of modeling elastic wave propagation with a similar approach is considered. Keywords: Reprints, Transients, Distributed sensors, Coherence, Detection, Classification.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1989
Accession Number
ADA226636

Entities

People

  • Michael D. Collins

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • Energy and Power Technologies
  • Sensors

DTIC Thesaurus Topics

  • Acoustic Propagation
  • Acoustic Waves
  • Acoustics
  • Attenuation
  • Boundaries
  • Deep Water
  • Differential Equations
  • Elastic Waves
  • Equations
  • Seabed
  • Shallow Water
  • Time Domain
  • Underwater Acoustics
  • Wave Equations
  • Wave Propagation
  • Waves
  • Wide Angles

Readers

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