Transient Radiation Loading of a Spherical Pulsed Sonar Array.

Abstract

The transient pressure on a spherical array arising from the excitation of a simple circular element has been obtained. The cases of a Heaviside step and a continuous wave (CW) pulse were considered. The low frequency, i.e., long time, response was obtained via a classical wave harmonic analysis. High frequency asymptotic expansions and the Watson transformation were used to isolate the short time transient effects into efficient 'creeping wave' series. Dispersion, caused by the spherical curvature, is shown to produce attenuation of the traveling wave and theoretically an exponentially decaying pulse of infinite duration. These creeping wave series are not valid in the immediate vicinity of, and on, the active element. However, in this region the Kirchhoff approximation has been shown to be applicable. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1970
Accession Number
ADA068877

Entities

People

  • J. M. Garrelick
  • M. C. Junger

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Acoustics
  • Arrays
  • Beam Steering
  • Continuous Waves
  • Curvature
  • Differential Equations
  • Equations
  • Frequency
  • Harmonic Analysis
  • Leading Edges
  • New York
  • Partial Differential Equations
  • Pressure Distribution
  • Shock Waves
  • Sonar Arrays
  • Wave Equations
  • Waves

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Structural Dynamics.