Extensions of the Parabolic Equation Model for High-Angle Bottom-Interacting Paths,

Abstract

Hence the specific problem of interest is the propagation of high angles over large distances where the energy is refracted in the ocean-bottom sediments (rather than reflected from a hard interface). The principal difficulty with PE in such geometries is that a steep angle effectively propagates with the period of a shallower angle since the horizontal component of its phase velocity is less than it should be. Hence the ray period, or cycle distance, is too large. For water-borne paths this problem was largely removed by CMOD. The relaxation of the CMOD convergence-zone constraint permits certain liberties to be taken with the sound-speed profile in the bottom which could not be considered in the water column.

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Document Details

Document Type
Technical Report
Publication Date
Dec 31, 1977
Accession Number
ADA052890

Entities

People

  • C. W. Spofford
  • L. B. Dozier

Tags

Communities of Interest

  • Materials and Manufacturing Processes
  • Weapons Technologies

DTIC Thesaurus Topics

  • Acoustic Frequencies
  • Algorithms
  • Atmospheric Sciences
  • Convergence
  • Convergence Zones (Sonar)
  • Equations
  • Errors
  • Frequency
  • Geometry
  • Grazing Angles
  • High Angles
  • Military Research
  • New York
  • Phase Velocity
  • Seabed
  • Universities
  • Wave Equations

Readers

  • Acoustical Oceanography.
  • Mathematics or Statistics
  • Wave Propagation and Nonlinear Chaotic Dynamics.