REFRACTION AND DIFFRACTION OF PRESSURE PULSES BY GRADIENTS IN THE PROPAGATION VELOCITY,

Abstract

A study is made of the problem of an acoustic pressure pulse propagated thermally stratified water with a vertical gradient in the propagation velocity. A review of the method of obtaining a formal solution of the wave equation inside the shadow zone is given. The transformation of this solution is presented in a form which results in a residue series or branch integral. An asymptotic form developed by Towne and Wilson for one velocity distribution is included to obtain an integral which makes a computer solution possible. Finally, a discussion is given of several other techniques which might allow a more direct solution to problems of this type. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1966
Accession Number
AD0486891

Entities

People

  • Joel Garbarino

Organizations

  • University of California, Berkeley

Tags

DTIC Thesaurus Topics

  • Computers
  • Differential Equations
  • Diffraction
  • Equations
  • Integrals
  • Mathematics
  • Partial Differential Equations
  • Pressure Distribution
  • Refraction
  • Wave Equations
  • Wave Phenomena

Fields of Study

  • Mathematics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Calculus or Mathematical Analysis