High Frequency Asymptotics and the Transition Matrix Formulation of Scattering,

Abstract

This report deals with the use of high frequency asymptotics to evaluate and possibly facilitate, the convergence of the transition matrix formulation of scattering. For illustrative purposes, elastic and acoustic scattering from spherical and spheroidal cavities is considered in some detail. References are presented for other types of inclusions. Finally, a general method is suggested for integrating high frequency asymptotic solutions into the T-matrix formulation itself with the purpose of improving convergence. The method is implemented for the case of a spherical, and a prolate spheroidal, cavity.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1980
Accession Number
ADA093455

Entities

People

  • Joel M. Garrelick

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Acoustic Scattering
  • Axisymmetric
  • Diffraction
  • Doppler Effect
  • Elastic Scattering
  • Equations
  • Frequency
  • Geometry
  • Inclusions
  • Legendre Functions
  • Scattering
  • Standing Waves
  • Structural Mechanics
  • Three Dimensional
  • Two Dimensional
  • Wave Equations
  • Waves

Readers

  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Systems Analysis and Design