Pseudosymmetric Eigenmode Expansion for the Magnetic Field Integral Equation and SEM Consequences.

Abstract

An eigenmode expansion for the magnetic field integral equation (MFIE) is derived which eliminates the requirement that an adjoint solution be explicitly sought. Instead, an orthogonality relation is derived which only involves the eigenmodes of the original MFIE operator. To promote confidence in the validity of the resulting expansion, two analyses based on this expansion are presented which lead to known results. First, the expansion is applied to the problem of determining the surface current density induced on a perfectly conducting sphere by a plane wave and the known solution for this problem is duplicated by the expansion. The second analysis shows that for a general perfectly conducting body, the eigenmode expansion coefficient numerator evaluated at the purely imaginary frequency corresponding to an interior resonance is zero. This result is necessary in order to relate the eigenmode expansion to SEM.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1979
Accession Number
ADA071429

Entities

People

  • A. D. Varvatsis
  • Maurice I. Sancer
  • Scott Siegel

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Analytic Functions
  • Complex Variables
  • Current Density
  • Eigenvalues
  • Eigenvectors
  • Electric Fields
  • Electromagnetic Scattering
  • Equations
  • Frequency
  • Governments
  • Integral Equations
  • Integrals
  • Magnetic Fields
  • Meromorphic Functions
  • Orthogonality
  • United States

Fields of Study

  • Physics

Readers

  • Electromagnetic Wave Scattering and Antenna Radiation Engineering