Study of mixed-order basis functions for the locally corrected Nyström method

Stephen D. Gedney; Aiming Zhu; Cai Cheng Lu

doi:10.1109/TAP.2004.835122

Study of mixed-order basis functions for the locally corrected Nyström method

Stephen D. Gedney, Aiming Zhu, Cai Cheng Lu

Electrical and Computer Engineering

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

37 Scopus citations

Abstract

A high-order locally corrected Nyström (LCN) method employing the mixed-order basis functions proposed by Çaltşkan and Peterson is presented for the electromagnetic scattering by targets composed of both dielectric and conducting bodies. An integral operator based on a combined field formulation for conducting surfaces and a Müller formulation for dielectric surfaces is used. It is found that for general scattering objects, mixed-order basis functions accelerate the convergence of the LCN solution, can eliminate spurious charges, and can significantly reduce the condition number of the impedance matrix.

Original language	English
Pages (from-to)	2996-3004
Number of pages	9
Journal	IEEE Transactions on Antennas and Propagation
Volume	52
Issue number	11
DOIs	https://doi.org/10.1109/TAP.2004.835122
State	Published - Nov 2004

Bibliographical note

Funding Information:
Manuscript received October 27, 2003; revised January 28, 2004. This work was supported in part by the Defense Advanced Research Projects Agency (DARPA) under Grant MDA972-01-1-0022 and in part by the Army Research Office (ARO) under contract DAAD-19-99-1-0093.

Keywords

Electromagnetic scattering
Integral equation methods
Locally corrected Nyström (LCN) method
Numerical analysis

ASJC Scopus subject areas

Electrical and Electronic Engineering

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10.1109/TAP.2004.835122

Cite this

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title = "Study of mixed-order basis functions for the locally corrected Nystr{\"o}m method",

abstract = "A high-order locally corrected Nystr{\"o}m (LCN) method employing the mixed-order basis functions proposed by {\c C}alt{\c s}kan and Peterson is presented for the electromagnetic scattering by targets composed of both dielectric and conducting bodies. An integral operator based on a combined field formulation for conducting surfaces and a M{\"u}ller formulation for dielectric surfaces is used. It is found that for general scattering objects, mixed-order basis functions accelerate the convergence of the LCN solution, can eliminate spurious charges, and can significantly reduce the condition number of the impedance matrix.",

keywords = "Electromagnetic scattering, Integral equation methods, Locally corrected Nystr{\"o}m (LCN) method, Numerical analysis",

author = "Gedney, {Stephen D.} and Aiming Zhu and Lu, {Cai Cheng}",

note = "Funding Information: Manuscript received October 27, 2003; revised January 28, 2004. This work was supported in part by the Defense Advanced Research Projects Agency (DARPA) under Grant MDA972-01-1-0022 and in part by the Army Research Office (ARO) under contract DAAD-19-99-1-0093.",

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T1 - Study of mixed-order basis functions for the locally corrected Nyström method

AU - Gedney, Stephen D.

AU - Zhu, Aiming

AU - Lu, Cai Cheng

N1 - Funding Information: Manuscript received October 27, 2003; revised January 28, 2004. This work was supported in part by the Defense Advanced Research Projects Agency (DARPA) under Grant MDA972-01-1-0022 and in part by the Army Research Office (ARO) under contract DAAD-19-99-1-0093.

PY - 2004/11

Y1 - 2004/11

N2 - A high-order locally corrected Nyström (LCN) method employing the mixed-order basis functions proposed by Çaltşkan and Peterson is presented for the electromagnetic scattering by targets composed of both dielectric and conducting bodies. An integral operator based on a combined field formulation for conducting surfaces and a Müller formulation for dielectric surfaces is used. It is found that for general scattering objects, mixed-order basis functions accelerate the convergence of the LCN solution, can eliminate spurious charges, and can significantly reduce the condition number of the impedance matrix.

AB - A high-order locally corrected Nyström (LCN) method employing the mixed-order basis functions proposed by Çaltşkan and Peterson is presented for the electromagnetic scattering by targets composed of both dielectric and conducting bodies. An integral operator based on a combined field formulation for conducting surfaces and a Müller formulation for dielectric surfaces is used. It is found that for general scattering objects, mixed-order basis functions accelerate the convergence of the LCN solution, can eliminate spurious charges, and can significantly reduce the condition number of the impedance matrix.

KW - Electromagnetic scattering

KW - Integral equation methods

KW - Locally corrected Nyström (LCN) method

KW - Numerical analysis

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JO - IEEE Transactions on Antennas and Propagation

JF - IEEE Transactions on Antennas and Propagation

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Study of mixed-order basis functions for the locally corrected Nyström method

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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