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- Publisher Website: 10.1109/TAP.2009.2024575
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Article: On the near-interaction elements in integral equation solvers for electromagnetic scattering by three-dimensional thin objects
Title | On the near-interaction elements in integral equation solvers for electromagnetic scattering by three-dimensional thin objects |
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Authors | |
Keywords | Electromagnetic Scattering Integral Equations Numerical Analysis |
Issue Date | 2009 |
Citation | Ieee Transactions On Antennas And Propagation, 2009, v. 57 n. 8, p. 2500-2506 How to Cite? |
Abstract | The accuracy of near-interaction (NI) evaluation is investigated for hypersingular and strongly singular kernels in solving electromagnetic (EM) integral equations. We first define the NI between a field point and a source triangular patch using a nearness factor (N F) and show the accuracy of numerical integrations for the NI integrals with hypersingular or strongly singular kernels. It is found that there exists a transition area or turning point before and after which the convergence behaviors of those integrations are greatly different. We define the N F value at the 1% relative error as the turning point N F0 and define N F ≤ N F0 as the NI range. We find that N F0 =1.4 could be a bound of NI range for the triangles with a quality factor q > 0.35 and analytical formulas should be used in evaluating NI elements within the bound. Numerical examples for EM scattering by three-dimensional (3D) thin objects are used to demonstrate the significance of NI treatments for the accurate solutions. © 2009 IEEE. |
Persistent Identifier | http://hdl.handle.net/10722/182762 |
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 | Chew, WC | en_US |
dc.date.accessioned | 2013-05-02T05:16:45Z | - |
dc.date.available | 2013-05-02T05:16:45Z | - |
dc.date.issued | 2009 | en_US |
dc.identifier.citation | Ieee Transactions On Antennas And Propagation, 2009, v. 57 n. 8, p. 2500-2506 | en_US |
dc.identifier.issn | 0018-926X | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/182762 | - |
dc.description.abstract | The accuracy of near-interaction (NI) evaluation is investigated for hypersingular and strongly singular kernels in solving electromagnetic (EM) integral equations. We first define the NI between a field point and a source triangular patch using a nearness factor (N F) and show the accuracy of numerical integrations for the NI integrals with hypersingular or strongly singular kernels. It is found that there exists a transition area or turning point before and after which the convergence behaviors of those integrations are greatly different. We define the N F value at the 1% relative error as the turning point N F0 and define N F ≤ N F0 as the NI range. We find that N F0 =1.4 could be a bound of NI range for the triangles with a quality factor q > 0.35 and analytical formulas should be used in evaluating NI elements within the bound. Numerical examples for EM scattering by three-dimensional (3D) thin objects are used to demonstrate the significance of NI treatments for the accurate solutions. © 2009 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 | Integral Equations | en_US |
dc.subject | Numerical Analysis | en_US |
dc.title | On the near-interaction elements in integral equation solvers for electromagnetic scattering by three-dimensional thin 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.2009.2024575 | en_US |
dc.identifier.scopus | eid_2-s2.0-68949219595 | en_US |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-68949219595&selection=ref&src=s&origin=recordpage | en_US |
dc.identifier.volume | 57 | en_US |
dc.identifier.issue | 8 | en_US |
dc.identifier.spage | 2500 | en_US |
dc.identifier.epage | 2506 | en_US |
dc.identifier.isi | WOS:000268756100034 | - |
dc.publisher.place | United States | en_US |
dc.identifier.scopusauthorid | Tong, MS=11839685700 | en_US |
dc.identifier.scopusauthorid | Chew, WC=36014436300 | en_US |
dc.identifier.issnl | 0018-926X | - |