The Time-Domain Solution of the Wide-Angle Parabolic Equation Including the Effects of Sediment Dispersion

Abstract

Time-domain approaches are useful for modeling broadband acoustic propagation. The wide-angle time-domain parabolic equation (TDPE), which is the inverse Fourier transform of the wide-angle parabolic equation (PE), is derived. A numerical solution for the model is described and a benchmark calculation is presented. The narrow-angle TDPE is also considered and its error is analyzed and compared with the error of the narrow-angle PE. The TDPE is compared with the progressive wave equation, which is shown to be restricted to narrow-angle propagation for practical purposes. In the Sediment, attenuation is assumed to depend linearly on frequency and the corresponding casual dispersion law is assumed. The model is used to show that the effect of sediment dispersion on pulse propagation in the ocean can be significant. Keywords: Sound transmissions; Time domain parabolic equations; Wide angles; Error analysis; Acoustic attenuation; Ocean bottom sediments; Boundary value problems; Underwater acoustics. Reprints.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1988
Accession Number
ADA205563

Entities

People

  • Michael D. Collins

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Acoustic Propagation
  • Acoustics
  • Attenuation
  • Boundaries
  • Boundary Value Problems
  • Classification
  • Differential Equations
  • Equations
  • Errors
  • Frequency
  • Frequency Bands
  • Losses
  • Seabed
  • Time Domain
  • Two Dimensional
  • Wave Equations
  • Wide Angles

Readers

  • Approximation Theory.
  • Calculus or Mathematical Analysis
  • Ocean-Atmosphere Mesoscale Modeling, Data Assimilation, and Flux Boundary Layers