NDLI: Low frequency scaling of the mixed MFIE for scatterers with a non-simply connected surface

Content Provider	IEEE Xplore Digital Library
Author	Bogaert, I. Cools, K. Andriulli, F.P. De Zutter, D.
Copyright Year	2011
Description	Author affiliation: École nationale suprieure des télécommunications de Bretagne, Microwave Department, France (Andriulli, F.P.) \|\| Department of Information Technology (INTEC), Ghent University, Belgium (Bogaert, I.; Cools, K.; De Zutter, D.)
Abstract	The Magnetic Field Integral Equation (MFIE) is a widely used integral equation for the solution of electromagnetic scattering problems involving perfectly conducting objects. It is usually discretized by means of RWG functions as both basis and test functions. This discretization of the MFIE is well-known for its good condition number. However, it is equally well-known for the inferior accuracy of its solution when compared to the Electric Field Integral Equation (EFIE). What is less-known is that this accuracy problem becomes even more serious when the frequency is lowered. Recently it has been proved that the so-called mixed discretization of the MFIE, also called 'mixed MFIE', eliminates this low-frequency accuracy problem on simply connected scatterers. The mixed MFIE utilizes the so-called Buffa-Christiansen or Chen-Wilton functions for testing. In this contribution, the low frequency behavior of the mixed MFIE is investigated for scatterers with a non-simply connected surface. An analysis shows the presence of an approximate nullspace in the mixed MFIE at low frequencies. This nullspace becomes exact when the frequency is zero. This behavior matches known results for the continuous MFIE. Numerical results are presented that confirm this analysis. Despite the approximate nullspace at low frequencies, numerical results indicate that the mixed MFIE still delivers accurate results for toroidal scatterers.
Starting Page	951
Ending Page	954
File Size	638966
Page Count	4
File Format	PDF
ISBN	9781612849768
e-ISBN	9781612849782
DOI	10.1109/ICEAA.2011.6046467
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2011-09-12
Publisher Place	Italy
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Accuracy Integral equations Electromagnetic scattering Medical services Approximation methods Antennas
Content Type	Text
Resource Type	Article

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