THE EXTERIOR PROBLEM FOR THE VECTOR WAVE EQUATION IN AN INHOMOGENEOUS ANISOPTROPIC MEDIUM

Abstract

The vector wave equation for an electromagnetic field outside a perfectly conducting sphere situated in an inhomogeneous an isotropic medium is reduced, by means of a dyadic Stratton-Chu formula, to an equivalent vector integral equation. The anisotropy is presumed to arise from a magnetic dipole at the center of the sphere, so that the kernel of the integral equation consists of the inner product of the appropriate conductivity tensor and the Green's dyadic (in a form due to C. T. Tai) for a sphere in free space. The spherical vector wave functions involved are discussed, and various transformations are applied to render the vector integral equation more tractable. Finally, the vector system is reduced to a single scalar integral equation apparently more suited to numerical solution through proper redefinition of the domain of integration.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1962
Accession Number
AD0296196

Entities

People

  • William C. Hoffman

Organizations

  • Boeing

Tags

Communities of Interest

  • Advanced Electronics
  • Air Platforms

DTIC Thesaurus Topics

  • Bessel Functions
  • Charged Particles
  • Coefficients
  • Differential Equations
  • Eigenvalues
  • Electromagnetic Fields
  • Electrons
  • Equations
  • Frequency
  • Government Procurement
  • Integral Equations
  • Integrals
  • Magnetic Fields
  • Spherical Waves
  • Time Dependence
  • Wave Equations
  • Wave Functions

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering

Technology Areas

  • Space