AN INTEGRAL REPRESENTATION FOR MAXWELL'S EQUATIONS WITH ARBITRARY TIME DEPENDENCE.

Abstract

Integral expressions are presented for the fields interior to a source-free homogeneous volume in terms of the tangential electric and magnetic fields on the surface of the volume. Although this integral representation is available by straightforward methods, to the best of the author's knowledge, it has not appeared before, and it is much simpler than some. The representation also constitutes a statement of Huygen's principle for electromagnetic waves in the sense that the contribution from each surface element is itself a solution of Maxwell's Equations. The relationships are also pointed out between the present representation and previous ones. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 15, 1965
Accession Number
AD0466181

Entities

People

  • David C. Stickler

Organizations

  • Ohio State University

Tags

DTIC Thesaurus Topics

  • Electromagnetic Fields
  • Electromagnetic Radiation
  • Electromagnetic Scattering
  • Equations
  • Integrals
  • Magnetic Fields
  • Radiation
  • Scattering
  • Time Dependence

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Plasma Physics / Magnetohydrodynamics