ACOUSTIC SPREADING LOSS IN AN INHOMOGENEOUS MEDIUM

Abstract

A set of differential equations is derived for calculating the intensity loss due to geometrical spreading of planar sound rays in an inhomogeneous medium with a continuous index of refraction varying both in depth and horizontally. They are solved numerically for a mathematical model of an ocean with a heat source. Intensity contours are presented for rays in the vicinity of a heat source and a heat sink. The heat sink causes the rays to converge which results in the formation of a caustic. An approximate formula is derived for the point where this caustic originates.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1965
Accession Number
AD0624459

Entities

People

  • Lloyd E. Perkins
  • Peter Ugincius

Organizations

  • Naval Surface Warfare Center Dahlgren Division

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Computational Fluid Dynamics
  • Computational Science
  • Computer Programming
  • Differential Equations
  • Equations
  • Fluid Dynamics
  • Fluid Mechanics
  • Geometry
  • Heat Sinks
  • Mathematics
  • Munitions
  • Oceans
  • Ordnance Laboratories
  • Physics
  • Physics Laboratories
  • Refractive Index

Fields of Study

  • Mathematics
  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Combustion and Flow Dynamics.
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering