A matrix-friendly formulation of layered medium green's function

W. C. Chew; J. L. Xiong; M. A. Saville

doi:10.1109/LAWP.2006.886306

A matrix-friendly formulation of layered medium green's function

W. C. Chew, J. L. Xiong, M. A. Saville

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

Abstract

In this letter, we have proposed an alternative and elegant way of deriving the matrix representation of the dyadic Green's operator for layered media in the electric field integral equation. The derivation is based on the pilot vector potential approach where two vector potentials in terms of TE and TM fields are derived. The derivation is more succinct and the resulting Sommerfeld integrals only involve zeroth order Bessel function. It is more suitable for moment method (MOM) implementation. A detailed form of the MOM matrix element is presented and comparison with Michalski-Zheng formulation is given.

Original language	English (US)
Article number	886306
Pages (from-to)	490-494
Number of pages	5
Journal	IEEE Antennas and Wireless Propagation Letters
Volume	5
Issue number	1
DOIs	https://doi.org/10.1109/LAWP.2006.886306
State	Published - 2006
Externally published	Yes

Keywords

Green's function
Layered-medium
Moment method (MOM)

ASJC Scopus subject areas

Electrical and Electronic Engineering

Online availability

10.1109/LAWP.2006.886306

Library availability

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title = "A matrix-friendly formulation of layered medium green's function",

abstract = "In this letter, we have proposed an alternative and elegant way of deriving the matrix representation of the dyadic Green's operator for layered media in the electric field integral equation. The derivation is based on the pilot vector potential approach where two vector potentials in terms of TE and TM fields are derived. The derivation is more succinct and the resulting Sommerfeld integrals only involve zeroth order Bessel function. It is more suitable for moment method (MOM) implementation. A detailed form of the MOM matrix element is presented and comparison with Michalski-Zheng formulation is given.",

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author = "Chew, {W. C.} and Xiong, {J. L.} and Saville, {M. A.}",

note = "Funding Information: Manuscript received May 26, 2006; revised September 19, 2006. This work was supported in part by an AFOSR MURI Grant FA9550-04-1-0326. The authors are with the Center for Computational Electromagntics and Electromagnetic Laboratory, Department of Electrical and Computer Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801 USA (e-mail: [email protected]). This work is dedicated to the memory of Prof. Y. T. Lo. Color version of Fig. 2 available online at httl://ieeexplore.ieee.org. Digital Object Identifier 10.1109/LAWP.2006.886306",

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AU - Chew, W. C.

AU - Xiong, J. L.

AU - Saville, M. A.

N1 - Funding Information: Manuscript received May 26, 2006; revised September 19, 2006. This work was supported in part by an AFOSR MURI Grant FA9550-04-1-0326. The authors are with the Center for Computational Electromagntics and Electromagnetic Laboratory, Department of Electrical and Computer Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801 USA (e-mail: [email protected]). This work is dedicated to the memory of Prof. Y. T. Lo. Color version of Fig. 2 available online at httl://ieeexplore.ieee.org. Digital Object Identifier 10.1109/LAWP.2006.886306

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Y1 - 2006

N2 - In this letter, we have proposed an alternative and elegant way of deriving the matrix representation of the dyadic Green's operator for layered media in the electric field integral equation. The derivation is based on the pilot vector potential approach where two vector potentials in terms of TE and TM fields are derived. The derivation is more succinct and the resulting Sommerfeld integrals only involve zeroth order Bessel function. It is more suitable for moment method (MOM) implementation. A detailed form of the MOM matrix element is presented and comparison with Michalski-Zheng formulation is given.

AB - In this letter, we have proposed an alternative and elegant way of deriving the matrix representation of the dyadic Green's operator for layered media in the electric field integral equation. The derivation is based on the pilot vector potential approach where two vector potentials in terms of TE and TM fields are derived. The derivation is more succinct and the resulting Sommerfeld integrals only involve zeroth order Bessel function. It is more suitable for moment method (MOM) implementation. A detailed form of the MOM matrix element is presented and comparison with Michalski-Zheng formulation is given.

KW - Green's function

KW - Layered-medium

KW - Moment method (MOM)

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A matrix-friendly formulation of layered medium green's function

Abstract

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