Well-conditioned EFIE-TDS surface integral equation

Yi Ru Jeong; Jong Gwan Yook; Ic Pyo Hong; Kyung Won Lee; Sam Yeul Choi

Well-conditioned EFIE-TDS surface integral equation

Yi Ru Jeong, Jong Gwan Yook, Ic Pyo Hong, Kyung Won Lee, Sam Yeul Choi

Department of Electrical and Electronic Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

1 Citation (Scopus)

Abstract

A well-conditioned coupled set of electric field integral equation (EFIE) and thin dielectric sheet (TDS) approximation surface integral equations for analyzing densely discretized composite structures with perfect electric conductor (PEC) and thin dielectric layer is proposed. Whereas TDS operator is well-posed, a EFIE operator is ill-posed when applied to densely discretized surfaces. This makes the coupled EFIE and TDS linear system ill-conditioned, and its iterative solution inefficient or even impossible. The proposed method regularizes the coupled set of EFIE-TDS using a Calderon multiplicative preconditioner (CMP) technique. The resulting linear system enables the efficient analysis of composite structures with PEC and thin dielectric layer. Numerical example validates the efficiency of the proposed method.

Original language	English
Title of host publication	2015 International Symposium on Antennas and Propagation, ISAP 2015
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9784885523038
Publication status	Published - 2016 Apr 4
Event	International Symposium on Antennas and Propagation, ISAP 2015 - Hobart, Australia Duration: 2015 Nov 9 → 2015 Nov 12

Publication series

Name	2015 International Symposium on Antennas and Propagation, ISAP 2015

Other

Other	International Symposium on Antennas and Propagation, ISAP 2015
Country/Territory	Australia
City	Hobart
Period	15/11/9 → 15/11/12

Bibliographical note

Publisher Copyright:
© 2015 The Institute of Electronics, Information and Comm.

All Science Journal Classification (ASJC) codes

Computer Networks and Communications
Radiation
Electrical and Electronic Engineering

Cite this

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title = "Well-conditioned EFIE-TDS surface integral equation",

abstract = "A well-conditioned coupled set of electric field integral equation (EFIE) and thin dielectric sheet (TDS) approximation surface integral equations for analyzing densely discretized composite structures with perfect electric conductor (PEC) and thin dielectric layer is proposed. Whereas TDS operator is well-posed, a EFIE operator is ill-posed when applied to densely discretized surfaces. This makes the coupled EFIE and TDS linear system ill-conditioned, and its iterative solution inefficient or even impossible. The proposed method regularizes the coupled set of EFIE-TDS using a Calderon multiplicative preconditioner (CMP) technique. The resulting linear system enables the efficient analysis of composite structures with PEC and thin dielectric layer. Numerical example validates the efficiency of the proposed method.",

author = "Jeong, {Yi Ru} and Yook, {Jong Gwan} and Hong, {Ic Pyo} and Lee, {Kyung Won} and Choi, {Sam Yeul}",

note = "Publisher Copyright: {\textcopyright} 2015 The Institute of Electronics, Information and Comm.; International Symposium on Antennas and Propagation, ISAP 2015 ; Conference date: 09-11-2015 Through 12-11-2015",

year = "2016",

month = apr,

day = "4",

language = "English",

series = "2015 International Symposium on Antennas and Propagation, ISAP 2015",

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Jeong, YR, Yook, JG, Hong, IP, Lee, KW & Choi, SY 2016, Well-conditioned EFIE-TDS surface integral equation. in 2015 International Symposium on Antennas and Propagation, ISAP 2015., 7447374, 2015 International Symposium on Antennas and Propagation, ISAP 2015, Institute of Electrical and Electronics Engineers Inc., International Symposium on Antennas and Propagation, ISAP 2015, Hobart, Australia, 15/11/9.

Well-conditioned EFIE-TDS surface integral equation. / Jeong, Yi Ru; Yook, Jong Gwan; Hong, Ic Pyo et al.

2015 International Symposium on Antennas and Propagation, ISAP 2015. Institute of Electrical and Electronics Engineers Inc., 2016. 7447374 (2015 International Symposium on Antennas and Propagation, ISAP 2015).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Well-conditioned EFIE-TDS surface integral equation

AU - Jeong, Yi Ru

AU - Yook, Jong Gwan

AU - Hong, Ic Pyo

AU - Lee, Kyung Won

AU - Choi, Sam Yeul

PY - 2016/4/4

Y1 - 2016/4/4

N2 - A well-conditioned coupled set of electric field integral equation (EFIE) and thin dielectric sheet (TDS) approximation surface integral equations for analyzing densely discretized composite structures with perfect electric conductor (PEC) and thin dielectric layer is proposed. Whereas TDS operator is well-posed, a EFIE operator is ill-posed when applied to densely discretized surfaces. This makes the coupled EFIE and TDS linear system ill-conditioned, and its iterative solution inefficient or even impossible. The proposed method regularizes the coupled set of EFIE-TDS using a Calderon multiplicative preconditioner (CMP) technique. The resulting linear system enables the efficient analysis of composite structures with PEC and thin dielectric layer. Numerical example validates the efficiency of the proposed method.

AB - A well-conditioned coupled set of electric field integral equation (EFIE) and thin dielectric sheet (TDS) approximation surface integral equations for analyzing densely discretized composite structures with perfect electric conductor (PEC) and thin dielectric layer is proposed. Whereas TDS operator is well-posed, a EFIE operator is ill-posed when applied to densely discretized surfaces. This makes the coupled EFIE and TDS linear system ill-conditioned, and its iterative solution inefficient or even impossible. The proposed method regularizes the coupled set of EFIE-TDS using a Calderon multiplicative preconditioner (CMP) technique. The resulting linear system enables the efficient analysis of composite structures with PEC and thin dielectric layer. Numerical example validates the efficiency of the proposed method.

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M3 - Conference contribution

AN - SCOPUS:84966769099

T3 - 2015 International Symposium on Antennas and Propagation, ISAP 2015

BT - 2015 International Symposium on Antennas and Propagation, ISAP 2015

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - International Symposium on Antennas and Propagation, ISAP 2015

Y2 - 9 November 2015 through 12 November 2015

ER -

Well-conditioned EFIE-TDS surface integral equation

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