Well-conditioned EFIE-TDS surface integral equation

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

Research output: Chapter in Book/Report/Conference proceedingConference 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 languageEnglish
Title of host publication2015 International Symposium on Antennas and Propagation, ISAP 2015
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9784885523038
Publication statusPublished - 2016 Apr 4
EventInternational Symposium on Antennas and Propagation, ISAP 2015 - Hobart, Australia
Duration: 2015 Nov 92015 Nov 12

Publication series

Name2015 International Symposium on Antennas and Propagation, ISAP 2015

Other

OtherInternational Symposium on Antennas and Propagation, ISAP 2015
CountryAustralia
CityHobart
Period15/11/915/11/12

Fingerprint

Integral equations
integral equations
Electric fields
electric fields
Electric conductors
electric conductors
composite structures
linear systems
Composite structures
Linear systems
Mathematical operators
operators
iterative solution
approximation

All Science Journal Classification (ASJC) codes

  • Computer Networks and Communications
  • Radiation
  • Electrical and Electronic Engineering

Cite this

Jeong, Y. R., Yook, J. G., Hong, I. P., Lee, K. W., & Choi, S. Y. (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..
Jeong, Yi Ru ; Yook, Jong Gwan ; Hong, Ic Pyo ; Lee, Kyung Won ; Choi, Sam Yeul. / Well-conditioned EFIE-TDS surface integral equation. 2015 International Symposium on Antennas and Propagation, ISAP 2015. Institute of Electrical and Electronics Engineers Inc., 2016. (2015 International Symposium on Antennas and Propagation, ISAP 2015).
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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.",
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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; Lee, Kyung Won; Choi, Sam Yeul.

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 proceedingConference contribution

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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

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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

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Jeong YR, Yook JG, Hong IP, Lee KW, Choi SY. Well-conditioned EFIE-TDS surface integral equation. In 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).