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Article: Nyström method with edge condition for electromagnetic scattering by 2D open structures

TitleNyström method with edge condition for electromagnetic scattering by 2D open structures
Authors
Issue Date2006
PublisherElectromagnetics Academy. The Journal's web site is located at http://www.jpier.org/PIER/
Citation
Progress In Electromagnetics Research, 2006, v. 62, p. 49-68 How to Cite?
AbstractA Nyström method with edge condition (EC) is developed for electromagnetic scattering by two-dimensional (2D) open structures. Since EC correctly describes the edge behavior of currents on the scatterers, the use of it in Nyström method can dramatically coarsen the discretization near the edges. In the implementation of the scheme, we derive the closed-form expressions for the singular or near-singular integrations of Hankel functions multiplied by the polynomials with or without EC. This allows us to control the numerical errors efficiently by approximating the Hankel functions with more series terms and selecting higher-order polynomials to represent the currents in the local correction. The numerical results illustrate that the solutions with the use of EC converge much faster than without the use of EC. Also, EC is more essential in TM polarization than in TE polarization due to the singular behavior of current near edges.
Persistent Identifierhttp://hdl.handle.net/10722/182731
ISSN
2015 SCImago Journal Rankings: 0.682
References

 

DC FieldValueLanguage
dc.contributor.authorTong, MSen_US
dc.contributor.authorChew, WCen_US
dc.date.accessioned2013-05-02T05:16:38Z-
dc.date.available2013-05-02T05:16:38Z-
dc.date.issued2006en_US
dc.identifier.citationProgress In Electromagnetics Research, 2006, v. 62, p. 49-68en_US
dc.identifier.issn1070-4698en_US
dc.identifier.urihttp://hdl.handle.net/10722/182731-
dc.description.abstractA Nyström method with edge condition (EC) is developed for electromagnetic scattering by two-dimensional (2D) open structures. Since EC correctly describes the edge behavior of currents on the scatterers, the use of it in Nyström method can dramatically coarsen the discretization near the edges. In the implementation of the scheme, we derive the closed-form expressions for the singular or near-singular integrations of Hankel functions multiplied by the polynomials with or without EC. This allows us to control the numerical errors efficiently by approximating the Hankel functions with more series terms and selecting higher-order polynomials to represent the currents in the local correction. The numerical results illustrate that the solutions with the use of EC converge much faster than without the use of EC. Also, EC is more essential in TM polarization than in TE polarization due to the singular behavior of current near edges.en_US
dc.languageengen_US
dc.publisherElectromagnetics Academy. The Journal's web site is located at http://www.jpier.org/PIER/en_US
dc.relation.ispartofProgress in Electromagnetics Researchen_US
dc.titleNyström method with edge condition for electromagnetic scattering by 2D open structuresen_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.scopuseid_2-s2.0-33947104548en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-33947104548&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume62en_US
dc.identifier.spage49en_US
dc.identifier.epage68en_US
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridTong, MS=11839685700en_US
dc.identifier.scopusauthoridChew, WC=36014436300en_US

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