A Formal Solution to Maxwell's Equations for General Linear Media

Abstract

Maxwell's equations for linear media are reformulated through linear operator and generalized transform techniques into an equivalent matric integral equation. An explicit formal solution to the equation is obtained recursively, provid ing a sequence of operations to be applied to the electrical parameters of the medium to yield the characteristic existence conditions, the set of normal modes, and the electromagnetic fields in response to given sources. The results are applicable to time-invariant, linear media which may be inhomogeneous, anisotropic, nonuniform, dissipative, dispersive, with any source distribution.

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Document Details

Document Type
Technical Report
Publication Date
May 15, 1963
Accession Number
AD0410527

Entities

People

  • Paul Diament

Organizations

  • Columbia University

Tags

Communities of Interest

  • Advanced Electronics
  • Energy and Power Technologies
  • Space

DTIC Thesaurus Topics

  • Abstracts
  • Air Force
  • Contracts
  • Coordinate Systems
  • Differential Equations
  • Dispersion Relations
  • Electromagnetic Fields
  • Electromagnetism
  • Equations
  • Formulas (Mathematics)
  • Integral Equations
  • Integrals
  • Magnetic Fields
  • New York
  • Partial Differential Equations
  • Sequences
  • Wave Equations

Fields of Study

  • Mathematics

Readers

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