Low-Frequency Sound Propagation in a Fluctuating Infinite Ocean

Abstract

An approximation is described permitting a relatively simple analytic expression for various statistical averages of the sound-pressure field far from a source in a weakly fluctuating medium. In the low-frequency regime this approximation will permit valid calculations to larger distances than the conventional eikonal, or geometrical optics on straight paths, or perturbation- theory formulae, provided that (kL)(Sup 2)(C/delta c)(Sup 4/3) <1, where delta c/c and L are the fractional sound-speed fluctuations and correlation length respectively, and 2 pi/k is the sound wavelength. The source-to-receiver range over which the method is valid is R = L(1/kL)(Sup 2)(c/delta c)(sup 2). The method is used to estimate mean square fluctuations of the sound pressure and coherence lengths in an isotropic infinite ocean, and it is pointed out that its use in the more realistic situation of cylindrical symmetry is not appreciably more difficult.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1974
Accession Number
AD0787041

Entities

People

  • C. G. Callan
  • F. Zachariasen

Organizations

  • SRI International

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • California
  • Classification
  • Deep Oceans
  • Equations
  • Frequency
  • Integrals
  • Oceans
  • Particles
  • Perturbation Theory
  • Perturbations
  • Quantum Field Theory
  • Security
  • Sound Pressure
  • Symmetry
  • Wave Equations
  • Wave Propagation
  • Waves

Fields of Study

  • Physics

Readers

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