Numerical Analysis of a Singular Integral Equation Arising from Electromagnetic Interior Scattering

Abstract

Solving interior scattering problems of electromagnetic waves in biological media using a volume integral equation approach gives rise naturally to an integral equation with unbounded coefficients and with strongly singular kernel. The numerical solution of an analogous 1-D integral equation of the second kind is studied and a convergence proof for the numerical solution is given.

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Document Details

Document Type
Technical Report
Publication Date
Jun 15, 2001
Accession Number
ADA394884

Entities

People

  • Sherwood Samn

Organizations

  • Air Force Research Laboratory

Tags

Communities of Interest

  • Biomedical

DTIC Thesaurus Topics

  • Air Force
  • Air Force Research Laboratories
  • Banach Space
  • Convergence
  • Directed Energy Weapons
  • Electric Fields
  • Equations
  • Frequency Domain
  • Governments
  • Integral Equations
  • Integrals
  • Intervals
  • Military Research
  • Numerical Analysis
  • Procurement
  • Scattering

Fields of Study

  • Mathematics

Readers

  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Graph Algorithms and Convex Optimization.