A higher-order nyström scheme for electromagnetic scattering by arbitrarily shaped surfaces

Mei Song Tong; Weng Cho Chew

doi:10.1109/LAWP.2005.853000

A higher-order nyström scheme for electromagnetic scattering by arbitrarily shaped surfaces

Mei Song Tong, Weng Cho Chew

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

Abstract

A higher-order Nyström scheme is developed for electromagnetic scattering by arbitrary conducting scatterers. In our implementation, we employ a superparametric geometry mapping for arbitrary curvilinear surfaces to minimize the geometry error. The local correction for singular integral kernels is manipulated efficiently with the Lagrange interpolation of the unknown functions followed by singularity extraction and Duffy's transformation. Since this local correction approach removes the local method of moments (MoM) procedure, the scheme is easier to implement and more efficient in controlling errors compared with other higher-order Nyström schemes. Two numerical examples for scattering by sharp-corner scatterers are conducted to demonstrate the robustness of this method.

Original language	English (US)
Pages (from-to)	277-280
Number of pages	4
Journal	IEEE Antennas and Wireless Propagation Letters
Volume	4
Issue number	1
DOIs	https://doi.org/10.1109/LAWP.2005.853000
State	Published - 2005
Externally published	Yes

Keywords

Electromagnetic scattering
Higher-order nyström method

ASJC Scopus subject areas

Electrical and Electronic Engineering

Online availability

10.1109/LAWP.2005.853000

Library availability

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title = "A higher-order nystr{\"o}m scheme for electromagnetic scattering by arbitrarily shaped surfaces",

abstract = "A higher-order Nystr{\"o}m scheme is developed for electromagnetic scattering by arbitrary conducting scatterers. In our implementation, we employ a superparametric geometry mapping for arbitrary curvilinear surfaces to minimize the geometry error. The local correction for singular integral kernels is manipulated efficiently with the Lagrange interpolation of the unknown functions followed by singularity extraction and Duffy's transformation. Since this local correction approach removes the local method of moments (MoM) procedure, the scheme is easier to implement and more efficient in controlling errors compared with other higher-order Nystr{\"o}m schemes. Two numerical examples for scattering by sharp-corner scatterers are conducted to demonstrate the robustness of this method.",

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author = "Tong, {Mei Song} and Chew, {Weng Cho}",

note = "Funding Information: Manuscript received April 22, 2005; revised June 7, 2005. This work was supported in part by an AFOSR MURI Grant FA9550-04-1-0326. The authors are with the Center for Computational Electromagnetics, Department of Electrical and Computer Engineering, University of Illinois, Urbana-Champaign, IL 61801-2991 USA (e-mail: meisongt@uiuc.edu; w-chew@uiuc.edu). Digital Object Identifier 10.1109/LAWP.2005.853000",

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AU - Tong, Mei Song

AU - Chew, Weng Cho

N1 - Funding Information: Manuscript received April 22, 2005; revised June 7, 2005. This work was supported in part by an AFOSR MURI Grant FA9550-04-1-0326. The authors are with the Center for Computational Electromagnetics, Department of Electrical and Computer Engineering, University of Illinois, Urbana-Champaign, IL 61801-2991 USA (e-mail: meisongt@uiuc.edu; w-chew@uiuc.edu). Digital Object Identifier 10.1109/LAWP.2005.853000

PY - 2005

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N2 - A higher-order Nyström scheme is developed for electromagnetic scattering by arbitrary conducting scatterers. In our implementation, we employ a superparametric geometry mapping for arbitrary curvilinear surfaces to minimize the geometry error. The local correction for singular integral kernels is manipulated efficiently with the Lagrange interpolation of the unknown functions followed by singularity extraction and Duffy's transformation. Since this local correction approach removes the local method of moments (MoM) procedure, the scheme is easier to implement and more efficient in controlling errors compared with other higher-order Nyström schemes. Two numerical examples for scattering by sharp-corner scatterers are conducted to demonstrate the robustness of this method.

AB - A higher-order Nyström scheme is developed for electromagnetic scattering by arbitrary conducting scatterers. In our implementation, we employ a superparametric geometry mapping for arbitrary curvilinear surfaces to minimize the geometry error. The local correction for singular integral kernels is manipulated efficiently with the Lagrange interpolation of the unknown functions followed by singularity extraction and Duffy's transformation. Since this local correction approach removes the local method of moments (MoM) procedure, the scheme is easier to implement and more efficient in controlling errors compared with other higher-order Nyström schemes. Two numerical examples for scattering by sharp-corner scatterers are conducted to demonstrate the robustness of this method.

KW - Electromagnetic scattering

KW - Higher-order nyström method

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A higher-order nyström scheme for electromagnetic scattering by arbitrarily shaped surfaces

Abstract

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