On the errors arising in surface integral equations due to the discretization of the identity operator

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buir.contributor.authorGürel, Levent
buir.contributor.authorErgül, Özgür
dc.contributor.authorErgül, Özgüren_US
dc.contributor.authorGürel, Leventen_US
dc.coverage.spatialCharleston, SC, USAen_US
dc.date.accessioned2016-02-08T12:27:11Z
dc.date.available2016-02-08T12:27:11Z
dc.date.issued2009en_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.departmentComputational Electromagnetics Research Center (BiLCEM)en_US
dc.descriptionDate of Conference: 1-5 June 2009en_US
dc.descriptionConference Name: Antennas and Propagation Society International Symposium, IEEE 2009en_US
dc.description.abstractSurface integral equations (SIEs) are commonly used to formulate scattering and radiation problems involving three-dimensional metallic and homogeneous dielectric objects with arbitrary shapes. For numerical solutions, equivalent electric and/or magnetic currents defined on surfaces are discretized and expanded in a series of basis functions. Then, the boundary conditions are tested on surfaces via a set of testing functions. Solutions of the resulting dense matrix equations provide the expansion coefficients of the equivalent currents, which can be used to compute the scattered or radiated electromagnetic fields. This study consists of two parts. In the first part, the authors show that the identity operator is truly a major error source in normal and mixed formulations that are discretized with low-order functions, e.g., Rao-Wilton-Glisson (RWG) functions. In the second part, the authors investigate the incompatibility of SIE formulations in the context of iterative solutions. The authors show that a compatibility test can be used to determine the breakpoint, where the accuracy of the solution is saturated and cannot be enhanced any more.en_US
dc.description.provenanceMade available in DSpace on 2016-02-08T12:27:11Z (GMT). No. of bitstreams: 1 bilkent-research-paper.pdf: 70227 bytes, checksum: 26e812c6f5156f83f0e77b261a471b5a (MD5) Previous issue date: 2009en
dc.identifier.doi10.1109/APS.2009.5172076en_US
dc.identifier.issn1522-3965en_US
dc.identifier.urihttp://hdl.handle.net/11693/28686
dc.language.isoEnglishen_US
dc.publisherIEEEen_US
dc.relation.isversionofhttp://dx.doi.org/10.1109/APS.2009.5172076en_US
dc.source.titleProceedings of the Antennas and Propagation Society International Symposium, IEEE 2009en_US
dc.subjectIntegral equationsen_US
dc.subjectDielectricsen_US
dc.subjectElectromagnetic scatteringen_US
dc.subjectBoundary conditionsen_US
dc.subjectSaturation magnetizationen_US
dc.subjectElectromagnetic radiationen_US
dc.subjectElectromagnetic fieldsen_US
dc.subjectTransmission line matrix methodsen_US
dc.titleOn the errors arising in surface integral equations due to the discretization of the identity operatoren_US
dc.typeConference Paperen_US

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