A numerical implementation of a modified form of the electric field integral equation

Robert J. Adams, Nathan J. Champagne

Research output: Contribution to journalArticlepeer-review

59 Scopus citations

Abstract

The details of a Galerkin discretization scheme for a modified form of the electric field integral equation are outlined for smooth, three-dimensional, perfectly conducting scatterers. Limitations of the divergence conforming finite-element bases in preserving the self-stabilizing properties of the electric field integral equation operator are indicated. A numerically efficient alternative is outlined which relies on an operator-based Helmholtz decomposition. The condition number of the resulting matrix equation is demonstrated to be frequency independent for scattering from a perfectly conducting sphere at various frequencies.

Original languageEnglish
Pages (from-to)2262-2266
Number of pages5
JournalIEEE Transactions on Antennas and Propagation
Volume52
Issue number9
DOIs
StatePublished - Sep 2004

Bibliographical note

Funding Information:
Manuscript received January 23, 2003; revised July 25, 2003. This work was performed under the auspices of the U.S. Department of Energy by University of California, Lawrence Livermore National Laboratory under Contract W-7405-Eng-48.

Funding

Manuscript received January 23, 2003; revised July 25, 2003. This work was performed under the auspices of the U.S. Department of Energy by University of California, Lawrence Livermore National Laboratory under Contract W-7405-Eng-48.

FundersFunder number
University of California, Los Angeles
Lawrence Livermore National LaboratoryW-7405-Eng-48

    ASJC Scopus subject areas

    • Electrical and Electronic Engineering

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