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Article: Nyström method solution of volume integral equations for electromagnetic scattering by 3D penetrable objects
Title | Nyström method solution of volume integral equations for electromagnetic scattering by 3D penetrable objects |
---|---|
Authors | |
Keywords | Electromagnetic Scattering Nyström Method Penetrable Object Volume Integral Equation |
Issue Date | 2010 |
Citation | Ieee Transactions On Antennas And Propagation, 2010, v. 58 n. 5, p. 1645-1652 How to Cite? |
Abstract | The 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 Identifier | http://hdl.handle.net/10722/182769 |
ISSN | 2023 Impact Factor: 4.6 2023 SCImago Journal Rankings: 1.794 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Tong, MS | en_US |
dc.contributor.author | Qian, ZG | en_US |
dc.contributor.author | Chew, WC | en_US |
dc.date.accessioned | 2013-05-02T05:16:46Z | - |
dc.date.available | 2013-05-02T05:16:46Z | - |
dc.date.issued | 2010 | en_US |
dc.identifier.citation | Ieee Transactions On Antennas And Propagation, 2010, v. 58 n. 5, p. 1645-1652 | en_US |
dc.identifier.issn | 0018-926X | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/182769 | - |
dc.description.abstract | The 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.language | eng | en_US |
dc.relation.ispartof | IEEE Transactions on Antennas and Propagation | en_US |
dc.subject | Electromagnetic Scattering | en_US |
dc.subject | Nyström Method | en_US |
dc.subject | Penetrable Object | en_US |
dc.subject | Volume Integral Equation | en_US |
dc.title | Nyström method solution of volume integral equations for electromagnetic scattering by 3D penetrable objects | en_US |
dc.type | Article | en_US |
dc.identifier.email | Chew, WC: wcchew@hku.hk | en_US |
dc.identifier.authority | Chew, WC=rp00656 | en_US |
dc.description.nature | link_to_subscribed_fulltext | en_US |
dc.identifier.doi | 10.1109/TAP.2010.2044350 | en_US |
dc.identifier.scopus | eid_2-s2.0-77951989653 | en_US |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-77951989653&selection=ref&src=s&origin=recordpage | en_US |
dc.identifier.volume | 58 | en_US |
dc.identifier.issue | 5 | en_US |
dc.identifier.spage | 1645 | en_US |
dc.identifier.epage | 1652 | en_US |
dc.identifier.isi | WOS:000277339900023 | - |
dc.publisher.place | United States | en_US |
dc.identifier.scopusauthorid | Tong, MS=11839685700 | en_US |
dc.identifier.scopusauthorid | Qian, ZG=9043842600 | en_US |
dc.identifier.scopusauthorid | Chew, WC=36014436300 | en_US |
dc.identifier.issnl | 0018-926X | - |