NDLI: Exact Relationship Between the Locally Corrected Nyström Scheme and RWG Moment Method for the Mixed-Potential Integral Equation

Content Provider	IEEE Xplore Digital Library
Author	Shafieipour, M. Aronsson, J. Jeffrey, I. Okhmatovski, V.I.
Copyright Year	1963
Abstract	The exact relationship between the Rao-Wilton-Glisson (RWG) method of moments (MoM) and the locally corrected Nyström (LCN) method for the mixed-potential (MP) electric field integral equation (EFIE) is presented as an extension to our work where we established analogous exact relationship for solving the EFIE in its vector-potential (VP) form. It is shown that in order to achieve one such relationship for the MP EFIE, the first- and zeroth-order LCN methods must be, respectively, used for the discretization of the VP and scalar-potential terms of the MP EFIE. The resulting numerical scheme is a point-based RWG MoM discretization of the MP EFIE via the Nyström method. Due to the MP formulation of the EFIE, the proposed method establishes notably higher accuracy compared to either RWG MoM or LCN discretizations of the EFIE in the VP form. The increased accuracy is attributed to the analytical cancellation of the line charge contributions in the MP formulation as opposed to numerical cancellation inherent in the VP formulation of the EFIE. The detailed study and explanations of the above cancellations is presented along with their impact on the accuracy of the respective schemes for both canonical and realistic scattering targets at different frequencies.
Sponsorship	IEEE Antennas and Propagation Society
Starting Page	4932
Ending Page	4943
Page Count	12
File Size	1253078
File Format	PDF
ISSN	0018926X
Volume Number	63
Issue Number	11
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2015-01-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Method of moments Kernel Matrix converters Antennas Accuracy Impedance Integral equations Electromagnetic scattering Point-based RWG method-of-moments (MoM) Locally corrected Nystrom (LCN) method Mixed-potential electricfiled integral equation (MPIE) point-based Rao–Wilton–Glisson (RWG) method of moments (MoM) locally corrected Nystrom (LCN) method mixed-potential electric field integral equation (MPIE)
Content Type	Text
Resource Type	Article
Subject	Condensed Matter Physics Electrical and Electronic Engineering

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