Multiple Surface Scattering from the Ice Covered Arctic Ocean.

Abstract

The range dependent boundary condition imposed by a rough ice surface serves to couple the normal-modes of an underwater acoustic field. Beginning with the parabolic wave equation, the solution is expanded in terms of normal-mode depth functions modulated by random amplitudes. A system of master equations for the quantities < an (r) an * (r) > is derived, where the a sub n (r) are the normal mode amplitudes, and the brackets indicate an ensemble average. The master equations determine the mean power in each mode as a function of range, describing the transfer of energy between modes. Explicit relations for the coupling coefficients are obtained in terms of the spectrum of the rough surface. Transmission loss, intensity redistribution and the approach to equipartition of energy as functions of range and depth are obtained numerically. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1979
Accession Number
ADA069843

Entities

People

  • A. Beilis
  • F. D. Tappert
  • H. W. Kutschale

Organizations

  • Lamont–Doherty Earth Observatory

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Acoustics
  • Arctic Ocean
  • Coefficients
  • Computer Programs
  • Computers
  • Couplings
  • Eigenvalues
  • Eigenvectors
  • Equations
  • Frequency
  • Laser Diodes
  • Military Research
  • New York
  • Scattering
  • Surface Roughness
  • Transmission Loss
  • Wave Equations

Fields of Study

  • Physics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Calculus or Mathematical Analysis
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering