Continuation of: Applications of Gauge Theories to Enhance Numerical Solutions of Mixed Potential Integral Equations.

Abstract

The intention of this research has been to investigate techniques for solving Maxwell's equations under scattering, radiation and propagation conditions by adapting methods recently developed in mathematical physics. During the first few months of this contract we continued the work begun during the previous three years concerning the possibility of substituting the Coulomb gauge for the standard Lorentz gauge in mixed potential integral equation formulations. In this report in Chapter 2 and 3 we present our investigations concerning conduction current invariance under gauge transformation and the implementation of the Coulomb gauge in time domain integral equation analysis. Although it is widely known that the electromagnetic field is invariant under a gauge transformation, to the authors' knowledge no previous proof existed showing current invariance.

Document Details

Document Type
Technical Report
Publication Date
Mar 12, 1993
Accession Number
ADA263763

Entities

People

  • Chenhong Huang
  • Robert D. Nevels
  • Zuoguo Wo

Organizations

  • Texas A&M University

Tags

DTIC Thesaurus Topics

  • Contracts
  • Electromagnetic Fields
  • Equations
  • Integral Equations
  • Integrals
  • Invariance
  • Mathematics
  • Radiation
  • Scattering
  • Standards
  • Time Domain

Readers

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