ON THE SCATTERING OF PLANE COMPRESSIONAL WAVES BY A SPHERICAL OBSTACLE

Abstract

The scattering of plane compressional waves by a spherical obstacle in an elastic solid, which was investigated by Ying and Truell, is examined further. For a rigid inclusion, the boundary conditions are redefined to take into considera the motion of the inclusion inside the solid. By a proper limiting process, it is shown that the solutions for a rigid insert, a fluid sphere, a cavity, or an obstacle in a fluid, are all derivable from the general results of an elastic inclusion. In each case, the rates of energy scattering due to a small obstacle are found to be inversely proportional to the fourth power of wave length.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1962
Accession Number
AD0410226

Entities

People

  • C. C. Mow
  • Yih-hsing Pao

Organizations

  • MITRE Corporation

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Bessel Functions
  • Boundaries
  • Corporations
  • Elastic Waves
  • Engineering
  • Equations
  • Governments
  • Materials
  • Mechanical Engineering
  • Mechanics
  • New York
  • Physics
  • Rayleigh Scattering
  • Scattering
  • Scattering Cross Sections
  • Secondary Waves
  • Standing Waves

Fields of Study

  • Mathematics

Readers

  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Fluid Dynamics.