Comparisons of Normal Mode Theory, Ray Theory, and Modified Ray Theory for Arbitrary Sound Velocity Profiles Resulting in Convergence Zones

Abstract

Normal mode theory, ray theory, and modified ray theory are compared for several arbitrary velocity profiles. The normal mode theory program uses a finite difference approach to solve for the spectrum of discrete modes once an arbitrary sound velocity profile and a constant velocity fluid bottom are specified. A ray tracing program is used to find the coherent sum of rays at points of interest. Modified ray theory leading to an Airy function solution is used to correct ray theory at caustics and in adjacent shadow zones.

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Document Details

Document Type
Technical Report
Publication Date
Aug 29, 1974
Accession Number
AD0787629

Entities

People

  • Ira M. Blatstein

Organizations

  • Naval Ordnance Laboratory

Tags

Communities of Interest

  • Advanced Electronics
  • Energy and Power Technologies
  • Weapons Technologies

DTIC Thesaurus Topics

  • Computational Fluid Dynamics
  • Computational Science
  • Deep Oceans
  • Deep Water
  • Differential Equations
  • Diffraction
  • Explosions
  • Group Velocity
  • Intensity
  • Munitions
  • Ordnance Laboratories
  • Plastic Explosives
  • Ray Tracing
  • Refraction
  • Shock Waves
  • Underwater Explosions
  • Wave Equations

Fields of Study

  • Physics

Readers

  • Acoustical Oceanography.
  • Fluid Dynamics.