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Article: Nyström method solution of volume integral equations for electromagnetic scattering by 3D penetrable objects

TitleNyström method solution of volume integral equations for electromagnetic scattering by 3D penetrable objects
Authors
KeywordsElectromagnetic Scattering
Nyström Method
Penetrable Object
Volume Integral Equation
Issue Date2010
Citation
Ieee Transactions On Antennas And Propagation, 2010, v. 58 n. 5, p. 1645-1652 How to Cite?
AbstractThe volume integral equations (VIEs) for electromagnetic (EM) scattering by three-dimensional (3D) penetrable objects are solved by Nystrm method. The VIEs are essential and cannot be replaced by surface integral equations (SIEs) for inhomogeneous problems, but they are usually solved by the method of moments (MoM). The Nystrm method as an alternative for the MoM has shown much promise and has been widely used to solve the SIEs, but it is less frequently applied to the VIEs, especially for 3D EM problems. In this work, we implement the Nystrm method for 3D VIEs by developing an efficient local correction scheme for singular and near singular integrals over tetrahedral elements. The scheme first interpolates the unknown functions within the tetrahedral elements and then derives analytical solutions for the resultant singular or near singular integrals after singularity subtraction. The scheme is simpler and more efficient in implementation compared with those based on the redesign of quadrature rules for the singular or near singular integrands. Numerical examples are presented to demonstrate the effectiveness of the proposed scheme and its convergence feature is also studied. © 2006 IEEE.
Persistent Identifierhttp://hdl.handle.net/10722/182769
ISSN
2015 Impact Factor: 2.053
2015 SCImago Journal Rankings: 2.130
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorTong, MSen_US
dc.contributor.authorQian, ZGen_US
dc.contributor.authorChew, WCen_US
dc.date.accessioned2013-05-02T05:16:46Z-
dc.date.available2013-05-02T05:16:46Z-
dc.date.issued2010en_US
dc.identifier.citationIeee Transactions On Antennas And Propagation, 2010, v. 58 n. 5, p. 1645-1652en_US
dc.identifier.issn0018-926Xen_US
dc.identifier.urihttp://hdl.handle.net/10722/182769-
dc.description.abstractThe volume integral equations (VIEs) for electromagnetic (EM) scattering by three-dimensional (3D) penetrable objects are solved by Nystrm method. The VIEs are essential and cannot be replaced by surface integral equations (SIEs) for inhomogeneous problems, but they are usually solved by the method of moments (MoM). The Nystrm method as an alternative for the MoM has shown much promise and has been widely used to solve the SIEs, but it is less frequently applied to the VIEs, especially for 3D EM problems. In this work, we implement the Nystrm method for 3D VIEs by developing an efficient local correction scheme for singular and near singular integrals over tetrahedral elements. The scheme first interpolates the unknown functions within the tetrahedral elements and then derives analytical solutions for the resultant singular or near singular integrals after singularity subtraction. The scheme is simpler and more efficient in implementation compared with those based on the redesign of quadrature rules for the singular or near singular integrands. Numerical examples are presented to demonstrate the effectiveness of the proposed scheme and its convergence feature is also studied. © 2006 IEEE.en_US
dc.languageengen_US
dc.relation.ispartofIEEE Transactions on Antennas and Propagationen_US
dc.subjectElectromagnetic Scatteringen_US
dc.subjectNyström Methoden_US
dc.subjectPenetrable Objecten_US
dc.subjectVolume Integral Equationen_US
dc.titleNyström method solution of volume integral equations for electromagnetic scattering by 3D penetrable objectsen_US
dc.typeArticleen_US
dc.identifier.emailChew, WC: wcchew@hku.hken_US
dc.identifier.authorityChew, WC=rp00656en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1109/TAP.2010.2044350en_US
dc.identifier.scopuseid_2-s2.0-77951989653en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-77951989653&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume58en_US
dc.identifier.issue5en_US
dc.identifier.spage1645en_US
dc.identifier.epage1652en_US
dc.identifier.isiWOS:000277339900023-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridTong, MS=11839685700en_US
dc.identifier.scopusauthoridQian, ZG=9043842600en_US
dc.identifier.scopusauthoridChew, WC=36014436300en_US

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