There are no files associated with this item.

Supplementary
• Appears in Collections:

Conference Paper: EFIE and MFIE, why the difference?

Title EFIE and MFIE, why the difference? Chew, WCDavis, CPWarnick, KFNie, ZPHu, JYan, SGürel, L 2008 2008 Ieee International Symposium On Antennas And Propagation And Usnc/Ursi National Radio Science Meeting, Apsursi, 2008 How to Cite? EFIE (electric field integral equation) suffers from internal resonance, and the remedy is to use MFIE (magnetic field integral equation) to come up with a CFIE (combined field integral equation) to remove the internal resonance problem. However, MFIE is fundamentally a very different integral equation from EFIE. Many questions have been raised about the differences. First, it has often been observed that EFIE has better accuracy than MFIE. On the other hand, MFIE has better convergence rate when solved with an iterative solver [1,2], Also, EFIE has low-frequency breakdown, but MFIE does not have an apparent low-frequency problem [3]. We will perform error analysis to explain why EFIE has better accuracy compared to MFIE [4-7]. Mathematical analysis shows that EFIE has a smoothing operator, while MFIE has a non-smoothing operator [8-10]. This difference often gives rise to better accuracy for EFIE compared to MFIE. MFIE is a second kind integral equation while EFIE is a first kind integral equation [10]. Hence, the eigenvalues of the EFIE operator tends to cluster around the origin, while the eigenvalues of the MFIE operator are shifted away from the origin. Consequently, when solved with an iterative solver, the convergence behavior of MFIE is superior to that of EFIE. It is well-known that EFIE suffers from the low-frequency breakdown problem. MFIE does not suffer from apparent low-frequency breakdown, but it suffers from low-frequency inaccuracy [3], All these problems can be taken care of by performing the loop-tree decomposition. The EFIE operator is often known as the ℒ operator and the MFIE operator is often known as the K operator in the literature. The ℒ operator is a symmetric operator while the K operator is an asymmetric operator. In some integral equations such as those involving dielectric interfaces, these two operators appear simultaneously. They also appear concurrently in the invocation of the equivalence principle. Their discretization often gives rise to an ill-conditioned matrix representation. We will discuss the reasons and present some remedies for them. More will be discussed at the conference presentation. © 2008 IEEE. http://hdl.handle.net/10722/183011 References in Scopus

DC FieldValueLanguage
dc.contributor.authorChew, WCen_US
dc.contributor.authorDavis, CPen_US
dc.contributor.authorWarnick, KFen_US
dc.contributor.authorNie, ZPen_US
dc.contributor.authorHu, Jen_US
dc.contributor.authorYan, Sen_US
dc.contributor.authorGürel, Len_US
dc.date.accessioned2013-05-02T05:18:05Z-
dc.date.available2013-05-02T05:18:05Z-
dc.date.issued2008en_US
dc.identifier.citation2008 Ieee International Symposium On Antennas And Propagation And Usnc/Ursi National Radio Science Meeting, Apsursi, 2008en_US
dc.identifier.urihttp://hdl.handle.net/10722/183011-
dc.description.abstractEFIE (electric field integral equation) suffers from internal resonance, and the remedy is to use MFIE (magnetic field integral equation) to come up with a CFIE (combined field integral equation) to remove the internal resonance problem. However, MFIE is fundamentally a very different integral equation from EFIE. Many questions have been raised about the differences. First, it has often been observed that EFIE has better accuracy than MFIE. On the other hand, MFIE has better convergence rate when solved with an iterative solver [1,2], Also, EFIE has low-frequency breakdown, but MFIE does not have an apparent low-frequency problem [3]. We will perform error analysis to explain why EFIE has better accuracy compared to MFIE [4-7]. Mathematical analysis shows that EFIE has a smoothing operator, while MFIE has a non-smoothing operator [8-10]. This difference often gives rise to better accuracy for EFIE compared to MFIE. MFIE is a second kind integral equation while EFIE is a first kind integral equation [10]. Hence, the eigenvalues of the EFIE operator tends to cluster around the origin, while the eigenvalues of the MFIE operator are shifted away from the origin. Consequently, when solved with an iterative solver, the convergence behavior of MFIE is superior to that of EFIE. It is well-known that EFIE suffers from the low-frequency breakdown problem. MFIE does not suffer from apparent low-frequency breakdown, but it suffers from low-frequency inaccuracy [3], All these problems can be taken care of by performing the loop-tree decomposition. The EFIE operator is often known as the ℒ operator and the MFIE operator is often known as the K operator in the literature. The ℒ operator is a symmetric operator while the K operator is an asymmetric operator. In some integral equations such as those involving dielectric interfaces, these two operators appear simultaneously. They also appear concurrently in the invocation of the equivalence principle. Their discretization often gives rise to an ill-conditioned matrix representation. We will discuss the reasons and present some remedies for them. More will be discussed at the conference presentation. © 2008 IEEE.en_US
dc.languageengen_US
dc.relation.ispartof2008 IEEE International Symposium on Antennas and Propagation and USNC/URSI National Radio Science Meeting, APSURSIen_US
dc.titleEFIE and MFIE, why the difference?en_US
dc.typeConference_Paperen_US
dc.identifier.emailChew, WC: wcchew@hku.hken_US
dc.identifier.authorityChew, WC=rp00656en_US
dc.identifier.doi10.1109/APS.2008.4619724en_US
dc.identifier.scopuseid_2-s2.0-55649114911en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-55649114911&selection=ref&src=s&origin=recordpageen_US
dc.identifier.scopusauthoridChew, WC=36014436300en_US
dc.identifier.scopusauthoridDavis, CP=7404361596en_US
dc.identifier.scopusauthoridWarnick, KF=7003381644en_US
dc.identifier.scopusauthoridNie, ZP=7103290485en_US
dc.identifier.scopusauthoridHu, J=36551374800en_US
dc.identifier.scopusauthoridYan, S=23109710800en_US
dc.identifier.scopusauthoridGürel, L=7004393069en_US