Low Frequency Iterative Solution of Integral Equations in Electromagnetic Scattering Theory.

Abstract

This report investigates the scattering of electromagnetic waves by a perfectly conducting object. The incident field is assumed to be time harmonic and the scatterer a closed bounded Lyapunov surface with no holes. A boundary integral equation for the total field (incident plus scattered) is derived using an integral representation of the total field analogous to Green's formula. The proof that this boundary integral equation can be solved by iteration rests on showing that the spectral radius of the resulting integral operator is less than one for small perturbations of the corresponding potential operator. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1978
Accession Number
ADA059170

Entities

People

  • George A. Gray

Organizations

  • University of Delaware

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Electromagnetic Scattering
  • Equations
  • Frequency
  • Integral Equations
  • Integrals
  • Iterations
  • Mathematical Analysis
  • Mathematics
  • Scattering

Fields of Study

  • Mathematics

Readers

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