Low-frequency scaling of the standard and mixed magnetic field and Müller integral equations
dc.contributor.author | Bogaert, Ignace | |
dc.contributor.author | Cools, Kristof | |
dc.contributor.author | Andriulli, Francesco P. | |
dc.contributor.author | Bagci, Hakan | |
dc.date.accessioned | 2015-08-03T11:47:00Z | |
dc.date.available | 2015-08-03T11:47:00Z | |
dc.date.issued | 2014-02 | |
dc.identifier.citation | Bogaert, I., Cools, K., Andriulli, F. P., & Bagci, H. (2014). Low-Frequency Scaling of the Standard and Mixed Magnetic Field and Müller Integral Equations. IEEE Transactions on Antennas and Propagation, 62(2), 822–831. doi:10.1109/tap.2013.2293783 | |
dc.identifier.issn | 0018926X | |
dc.identifier.doi | 10.1109/TAP.2013.2293783 | |
dc.identifier.uri | http://hdl.handle.net/10754/563375 | |
dc.description.abstract | The standard and mixed discretizations for the magnetic field integral equation (MFIE) and the Müller integral equation (MUIE) are investigated in the context of low-frequency (LF) scattering problems involving simply connected scatterers. It is proved that, at low frequencies, the frequency scaling of the nonsolenoidal part of the solution current can be incorrect for the standard discretization. In addition, it is proved that the frequency scaling obtained with the mixed discretization is correct. The reason for this problem in the standard discretization scheme is the absence of exact solenoidal currents in the rotated RWG finite element space. The adoption of the mixed discretization scheme eliminates this problem and leads to a well-conditioned system of linear equations that remains accurate at low frequencies. Numerical results confirm these theoretical predictions and also show that, when the frequency is lowered, a finer and finer mesh is required to keep the accuracy constant with the standard discretization. © 1963-2012 IEEE. | |
dc.description.sponsorship | The work of I. Bogaert was supported by a postdoctoral grant from the Fund for Scientific Research Flanders (FWO-Vlaanderen). | |
dc.publisher | Institute of Electrical and Electronics Engineers (IEEE) | |
dc.subject | Accuracy | |
dc.subject | Low-frequency stability | |
dc.subject | Magnetic field integral equation | |
dc.subject | Mixed discretization | |
dc.subject | Müller integral equation | |
dc.title | Low-frequency scaling of the standard and mixed magnetic field and Müller integral equations | |
dc.type | Article | |
dc.contributor.department | Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division | |
dc.contributor.department | Electrical Engineering Program | |
dc.contributor.department | Computational Electromagnetics Laboratory | |
dc.identifier.journal | IEEE Transactions on Antennas and Propagation | |
dc.contributor.institution | Department of Information Technology, Ghent University, Sint-Pietersnieuwstraat 41, B-9000 Gent, Belgium | |
dc.contributor.institution | Electrical Systems and Optics Research Division, University of Nottingham, Nottingham NG7 2RD, United Kingdom | |
dc.contributor.institution | Microwave Department, Telecom Bretagne-Institut Mines-Telecom, Brest, France | |
kaust.person | Bagci, Hakan |
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