Physical and analytical properties of a stabilized electric field integral equation

Robert J. Adams

doi:10.1109/TAP.2004.823957

Physical and analytical properties of a stabilized electric field integral equation

Robert J. Adams

Research output: Contribution to journal › Article › peer-review

135 Scopus citations

Abstract

The physical and analytical properties of a stabilized form of the electric field integral equation are discussed for closed and open perfectly conducting geometries. It is demonstrated that the modified equation provides a well-conditioned formulation for smooth geometries in both the high- and low-frequency limits; an instability remains near the edges of open geometries, requiring future consideration. The surface Helmholtz decomposition is used to illustrate the mechanism of the stabilization procedure, and the relevance of this mechanism to the numerical discretization of the equation is outlined.

Original language	English
Pages (from-to)	362-372
Number of pages	11
Journal	IEEE Transactions on Antennas and Propagation
Volume	52
Issue number	2
DOIs	https://doi.org/10.1109/TAP.2004.823957
State	Published - Feb 2004

Bibliographical note

Funding Information:
Manuscript received February 19, 2001; revised January 21, 2003. This work was supported in part by the Bradley Postdoctoral Fellowship Program at Virginia Polytechnic Institute and State University, Blacksburg, VA, and in part by the Air Force Office of Scientific Research, Air Force Materials Command, under Grant F49620-96-1-0039.

Keywords

Electric field integral equation (EFIE)
Integral equations

ASJC Scopus subject areas

Electrical and Electronic Engineering

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10.1109/TAP.2004.823957

Cite this

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abstract = "The physical and analytical properties of a stabilized form of the electric field integral equation are discussed for closed and open perfectly conducting geometries. It is demonstrated that the modified equation provides a well-conditioned formulation for smooth geometries in both the high- and low-frequency limits; an instability remains near the edges of open geometries, requiring future consideration. The surface Helmholtz decomposition is used to illustrate the mechanism of the stabilization procedure, and the relevance of this mechanism to the numerical discretization of the equation is outlined.",

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author = "Adams, {Robert J.}",

note = "Funding Information: Manuscript received February 19, 2001; revised January 21, 2003. This work was supported in part by the Bradley Postdoctoral Fellowship Program at Virginia Polytechnic Institute and State University, Blacksburg, VA, and in part by the Air Force Office of Scientific Research, Air Force Materials Command, under Grant F49620-96-1-0039.",

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N2 - The physical and analytical properties of a stabilized form of the electric field integral equation are discussed for closed and open perfectly conducting geometries. It is demonstrated that the modified equation provides a well-conditioned formulation for smooth geometries in both the high- and low-frequency limits; an instability remains near the edges of open geometries, requiring future consideration. The surface Helmholtz decomposition is used to illustrate the mechanism of the stabilization procedure, and the relevance of this mechanism to the numerical discretization of the equation is outlined.

AB - The physical and analytical properties of a stabilized form of the electric field integral equation are discussed for closed and open perfectly conducting geometries. It is demonstrated that the modified equation provides a well-conditioned formulation for smooth geometries in both the high- and low-frequency limits; an instability remains near the edges of open geometries, requiring future consideration. The surface Helmholtz decomposition is used to illustrate the mechanism of the stabilization procedure, and the relevance of this mechanism to the numerical discretization of the equation is outlined.

KW - Electric field integral equation (EFIE)

KW - Integral equations

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JO - IEEE Transactions on Antennas and Propagation

JF - IEEE Transactions on Antennas and Propagation

IS - 2

ER -

Physical and analytical properties of a stabilized electric field integral equation

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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