Sound Propagation Study.

Abstract

The Fast Field Program (FFP) is a numerical method, recently proposed by H. W. Marsh, of evaluating the exact solution of the hydrodynamical field equations. It is based on the Fast Fourier Transform (FFT) algorithm. Any case in which the exact solution can be expressed in the form of a Fourier type integral, including cases which embrace a layered inhomogeneous medium, yields an FFP solution. The FFP is especially useful in cases where the field is desired as a function of both range and depth. Formulations including two different exact solutions to the wave equation for a layered inhomogeneous medium and a single frequency, point source have been developed during the past year. The first does not require an evaluation of the discrete normal modes (if any exist) and the surface and bottom boundaries are included. Analytical solutions to the one dimensional reduced wave equation in terms of hypergeometric functions were used for examples for a Gulf of Maine profile. The second formulation allows a more general sound velocity profile, but requires the calculation of trapped modes when they exist. A general numerical integration method for solving the one dimensional reduced wave equation is used.

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1968
Accession Number
AD0853975

Entities

Organizations

  • RTX

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Boundaries
  • Differential Equations
  • Equations
  • Fast Fourier Transforms
  • Frequency
  • Hypergeometric Functions
  • Integrals
  • Mathematical Analysis
  • Mathematics
  • Numerical Integration
  • Partial Differential Equations
  • Test And Evaluation
  • Wave Equations

Readers

  • Approximation Theory.
  • Coastal Oceanography
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering