2004Unpublished venueOpen access

Improving the accuracy of the MFIE with the choice of basis functions

Özgür Ergül, Levent Gürel

Open full text 31 citations

Abstract

In the method-of-moments (MOM) and the fast-multipole-method (FMM) solutions of the electromagnetic scattering problems modeled by arbitrary planar triangulations, the magnetic-field integral equation (MFIE) can be observed to give less accurate results compared to the electric-field integral equation (EFIE), if the current is expanded with the Rao-Wilton-Glisson (RWG) basis functions. The inaccuracy is more evident for problem geometries with sharp edges or tips. This paper shows that the accuracy of the MFIE depends strongly on the quality of the current modeling and that the accuracy can be significantly improved by the choice of the basis functions. Comparisons are performed for four different basis functions.

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What this paper is about

In the method-of-moments (MOM) and the fast-multipole-method (FMM) solutions of the electromagnetic scattering problems modeled by arbitrary planar triangulations, the magnetic-field integral equation (MFIE) can be observed to give less accurate results compared to the electric-field integral equation (EFIE), if the current is expanded with the Rao-Wilton-Glisson (RWG) basis functions. The inaccuracy is more evident for problem geometries with sharp edges or tips. This paper shows that the accuracy of the MFIE depends strongly on the quality of the current modeling and that the accuracy can be significantly improved by the choice of the basis functions. Comparisons are performed for four different basis functions.

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Available abstract

In the method-of-moments (MOM) and the fast-multipole-method (FMM) solutions of the electromagnetic scattering problems modeled by arbitrary planar triangulations, the magnetic-field integral equation (MFIE) can be observed to give less accurate results compared to the electric-field integral equation (EFIE), if the current is expanded with the Rao-Wilton-Glisson (RWG) basis functions. The inaccuracy is more evident for problem geometries with sharp edges or tips. This paper shows that the accuracy of the MFIE depends strongly on the quality of the current modeling and that the accuracy can be significantly improved by the choice of the basis functions. Comparisons are performed for four different basis functions.

Key concepts: Basis function, Method of moments (probability theory), Integral equation, Basis (linear algebra), Electric-field integral equation, Multipole expansion, Computational electromagnetics, Scattering

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