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Article: Super-hyper singularity treatment for solving 3D electric field integral equations

TitleSuper-hyper singularity treatment for solving 3D electric field integral equations
Authors
KeywordsCauchy Principal Value
Electric Field Integral Equation
Singularity Treatment
Issue Date2007
PublisherJohn Wiley & Sons, Inc. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/37176
Citation
Microwave And Optical Technology Letters, 2007, v. 49 n. 6, p. 1383-1388 How to Cite?
AbstractThe super-hyper singularity treatment is developed for solving three-dimensional (3D) electric field integral equations (EFIE). EFIE usually takes two forms: one of which includes a super-hyper singular kernel generated by the double gradient of the Green's function. So far, there is no way to evaluate these super-hyper singular integrals needed for constructing the pertinent matrix equation. We apply the series expansion of the Green's function to the super-hyper singular kernel and derive closed-form expressions for their evaluations in the Cauchy principal-value sense. The derivation is based on the constant current approximation over a flat triangle patch, but it can be extended easily to higher-order approximations of the current. The scheme can be used to accurately calculate the near and self interaction terms in the impedance matrix for the method of moments (MoM), Nyström method or boundary element method (BEM). © 2007 Wiley Periodicals, Inc.
Persistent Identifierhttp://hdl.handle.net/10722/182733
ISSN
2015 Impact Factor: 0.545
2015 SCImago Journal Rankings: 0.372
ISI Accession Number ID
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.issued2007en_US
dc.identifier.citationMicrowave And Optical Technology Letters, 2007, v. 49 n. 6, p. 1383-1388en_US
dc.identifier.issn0895-2477en_US
dc.identifier.urihttp://hdl.handle.net/10722/182733-
dc.description.abstractThe super-hyper singularity treatment is developed for solving three-dimensional (3D) electric field integral equations (EFIE). EFIE usually takes two forms: one of which includes a super-hyper singular kernel generated by the double gradient of the Green's function. So far, there is no way to evaluate these super-hyper singular integrals needed for constructing the pertinent matrix equation. We apply the series expansion of the Green's function to the super-hyper singular kernel and derive closed-form expressions for their evaluations in the Cauchy principal-value sense. The derivation is based on the constant current approximation over a flat triangle patch, but it can be extended easily to higher-order approximations of the current. The scheme can be used to accurately calculate the near and self interaction terms in the impedance matrix for the method of moments (MoM), Nyström method or boundary element method (BEM). © 2007 Wiley Periodicals, Inc.en_US
dc.languageengen_US
dc.publisherJohn Wiley & Sons, Inc. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/37176en_US
dc.relation.ispartofMicrowave and Optical Technology Lettersen_US
dc.subjectCauchy Principal Valueen_US
dc.subjectElectric Field Integral Equationen_US
dc.subjectSingularity Treatmenten_US
dc.titleSuper-hyper singularity treatment for solving 3D electric field integral equationsen_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.doi10.1002/mop.22443en_US
dc.identifier.scopuseid_2-s2.0-34248194370en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-34248194370&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume49en_US
dc.identifier.issue6en_US
dc.identifier.spage1383en_US
dc.identifier.epage1388en_US
dc.identifier.isiWOS:000245815300043-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridTong, MS=11839685700en_US
dc.identifier.scopusauthoridChew, WC=36014436300en_US

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