A novel implementation of discrete complex image method for layered medium Green's function

Yongpin P. Chen; Weng Cho Chew; Lijun Jiang

doi:10.1109/LAWP.2011.2152358

A novel implementation of discrete complex image method for layered medium Green's function

Yongpin P. Chen, Weng Cho Chew, Lijun Jiang

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

Abstract

A novel implementation of discrete complex image method (DCIM) based on the Sommmerfeld branch cut is proposed to accurately capture the far-field behavior of the layered medium Green's function as a complement to the traditional DCIM. By contour deformation, the Green's function can be naturally decomposed into branch-cut integration (radiation modes) and pole contributions (guided modes). For branch-cut integration, matrix pencil method is applied, and the alternative Sommerfeld identity in terms of k_z integration is utilized to get a closed-form solution. The guided modes are accounted for with a pole-searching algorithm. Both one-branch-cut and two-branch-cut cases are studied. Several numerical results are presented to validate this method.

Original language	English (US)
Article number	5765649
Pages (from-to)	419-422
Number of pages	4
Journal	IEEE Antennas and Wireless Propagation Letters
Volume	10
DOIs	https://doi.org/10.1109/LAWP.2011.2152358
State	Published - 2011
Externally published	Yes

Keywords

Branch cut
Green's function
discrete complex image method (DCIM)
layered medium
pole

ASJC Scopus subject areas

Electrical and Electronic Engineering

Online availability

10.1109/LAWP.2011.2152358

Library availability

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title = "A novel implementation of discrete complex image method for layered medium Green's function",

abstract = "A novel implementation of discrete complex image method (DCIM) based on the Sommmerfeld branch cut is proposed to accurately capture the far-field behavior of the layered medium Green's function as a complement to the traditional DCIM. By contour deformation, the Green's function can be naturally decomposed into branch-cut integration (radiation modes) and pole contributions (guided modes). For branch-cut integration, matrix pencil method is applied, and the alternative Sommerfeld identity in terms of kz integration is utilized to get a closed-form solution. The guided modes are accounted for with a pole-searching algorithm. Both one-branch-cut and two-branch-cut cases are studied. Several numerical results are presented to validate this method.",

keywords = "Branch cut, Green's function, discrete complex image method (DCIM), layered medium, pole",

author = "Chen, {Yongpin P.} and Chew, {Weng Cho} and Lijun Jiang",

note = "Funding Information: Manuscript received March 09, 2011; revised April 17, 2011; accepted April 19, 2011. Date of publication May 12, 2011; date of current version May 23, 2011. This work was supported by the Hong Kong GRF under Grants 711508 and 711609.",

year = "2011",

doi = "10.1109/LAWP.2011.2152358",

language = "English (US)",

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journal = "IEEE Antennas and Wireless Propagation Letters",

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publisher = "Institute of Electrical and Electronics Engineers Inc.",

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T1 - A novel implementation of discrete complex image method for layered medium Green's function

AU - Chen, Yongpin P.

AU - Chew, Weng Cho

AU - Jiang, Lijun

N1 - Funding Information: Manuscript received March 09, 2011; revised April 17, 2011; accepted April 19, 2011. Date of publication May 12, 2011; date of current version May 23, 2011. This work was supported by the Hong Kong GRF under Grants 711508 and 711609.

PY - 2011

Y1 - 2011

N2 - A novel implementation of discrete complex image method (DCIM) based on the Sommmerfeld branch cut is proposed to accurately capture the far-field behavior of the layered medium Green's function as a complement to the traditional DCIM. By contour deformation, the Green's function can be naturally decomposed into branch-cut integration (radiation modes) and pole contributions (guided modes). For branch-cut integration, matrix pencil method is applied, and the alternative Sommerfeld identity in terms of kz integration is utilized to get a closed-form solution. The guided modes are accounted for with a pole-searching algorithm. Both one-branch-cut and two-branch-cut cases are studied. Several numerical results are presented to validate this method.

AB - A novel implementation of discrete complex image method (DCIM) based on the Sommmerfeld branch cut is proposed to accurately capture the far-field behavior of the layered medium Green's function as a complement to the traditional DCIM. By contour deformation, the Green's function can be naturally decomposed into branch-cut integration (radiation modes) and pole contributions (guided modes). For branch-cut integration, matrix pencil method is applied, and the alternative Sommerfeld identity in terms of kz integration is utilized to get a closed-form solution. The guided modes are accounted for with a pole-searching algorithm. Both one-branch-cut and two-branch-cut cases are studied. Several numerical results are presented to validate this method.

KW - Branch cut

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KW - discrete complex image method (DCIM)

KW - layered medium

KW - pole

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A novel implementation of discrete complex image method for layered medium Green's function

Abstract

Keywords

ASJC Scopus subject areas

Online availability

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