Fast Field Program for Multilayered Media

Abstract

The Fast Field Program (FFP) is a technique for applying Fast Fourier Transform methods to Field theory. Interim results are presented for the FFP as it would be applied to a multilayered ocean. Earlier work on this subject has demonstrated the accuracy of the approach, but a reduction in computing time was needed to attain 'real time,' in situ propagation estimations. A step in this direction has been made possible by the assumption that the water column is subdivided into strata within which the velocity of sound is allowed to vary exponentially with depth. The kernel of the integral expression for the pressure field is then given in terms of products of cylindrical functions, which can be calculated rapidly through the utilization of recurrence relations. Comparisons of the results of the FFP and normal mode theory are provided for both a shallow and a deep water example at low acoustic frequencies. In the latter case, consideration is given to the influence of the subbottom structure upon propagation predictions. The technique described is not the ultimate solution for real time calculations; however, it does represent the fastest possible version of generating FFP predictions known to the author at this time.

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Document Details

Document Type
Technical Report
Publication Date
Aug 26, 1971
Accession Number
AD0731041

Entities

People

  • Frederick R. Dinapoli

Organizations

  • Naval Underwater Systems Center

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Accuracy
  • Bottom Loss
  • Classification
  • Deep Water
  • Differential Equations
  • Equations
  • Fast Fourier Transforms
  • Frequency
  • Integrals
  • Liquids
  • Losses
  • Measurement
  • Numbers
  • Reflection
  • Rhode Island
  • Simulations
  • Water

Readers

  • Oceanography.
  • Systems Analysis and Design
  • Wave Propagation and Nonlinear Chaotic Dynamics.