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Article: New formulation and iterative solution for low-frequency volume integral equation

TitleNew formulation and iterative solution for low-frequency volume integral equation
Authors
Issue Date2005
PublisherTaylor & Francis Ltd. The Journal's web site is located at http://www.tandfonline.com/toc/tewa20/current
Citation
Journal Of Electromagnetic Waves And Applications, 2005, v. 19 n. 3, p. 289-306 How to Cite?
AbstractAn alternative E-field volume integral equation (VIE) is given for low-frequency applications. This low-frequency VIE is first solved at electrostatics using the method of moments (MoM) and then corrected by adding the contribution of the vector potential term. The reason why E-field VIE does not break down at low frequencies and even at statics is also explained. The issue of low-frequency inaccuracy is discussed as well. In addition, it can be proven by the extinction theorem that solving static VIE is equivalent to solving Poisson's equation. This low-frequency VIE can be solved more efficiently than directly solving the original VIE because the volume integral is replaced by a surface integral so that unknown count in the matrix equation can be reduced. Numerical results by this new low-frequency VIE agree well with those by Mie series. The applicable frequency range of this method is also discussed by investigating the behavior of eigenvalues. Last, low-frequency inaccuracy is also observed for the scattering of a dielectric sphere under the illumination of an axis-symmetric wave.
Persistent Identifierhttp://hdl.handle.net/10722/182704
ISSN
2015 Impact Factor: 0.772
2015 SCImago Journal Rankings: 0.394
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorChiang, ITen_US
dc.contributor.authorChew, WCen_US
dc.date.accessioned2013-05-02T05:16:31Z-
dc.date.available2013-05-02T05:16:31Z-
dc.date.issued2005en_US
dc.identifier.citationJournal Of Electromagnetic Waves And Applications, 2005, v. 19 n. 3, p. 289-306en_US
dc.identifier.issn0920-5071en_US
dc.identifier.urihttp://hdl.handle.net/10722/182704-
dc.description.abstractAn alternative E-field volume integral equation (VIE) is given for low-frequency applications. This low-frequency VIE is first solved at electrostatics using the method of moments (MoM) and then corrected by adding the contribution of the vector potential term. The reason why E-field VIE does not break down at low frequencies and even at statics is also explained. The issue of low-frequency inaccuracy is discussed as well. In addition, it can be proven by the extinction theorem that solving static VIE is equivalent to solving Poisson's equation. This low-frequency VIE can be solved more efficiently than directly solving the original VIE because the volume integral is replaced by a surface integral so that unknown count in the matrix equation can be reduced. Numerical results by this new low-frequency VIE agree well with those by Mie series. The applicable frequency range of this method is also discussed by investigating the behavior of eigenvalues. Last, low-frequency inaccuracy is also observed for the scattering of a dielectric sphere under the illumination of an axis-symmetric wave.en_US
dc.languageengen_US
dc.publisherTaylor & Francis Ltd. The Journal's web site is located at http://www.tandfonline.com/toc/tewa20/currenten_US
dc.relation.ispartofJournal of Electromagnetic Waves and Applicationsen_US
dc.titleNew formulation and iterative solution for low-frequency volume integral equationen_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.doi10.1163/1569393054139633en_US
dc.identifier.scopuseid_2-s2.0-15744376978en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-15744376978&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume19en_US
dc.identifier.issue3en_US
dc.identifier.spage289en_US
dc.identifier.epage306en_US
dc.identifier.isiWOS:000228023500001-
dc.publisher.placeNetherlandsen_US
dc.identifier.scopusauthoridChiang, IT=7006017692en_US
dc.identifier.scopusauthoridChew, WC=36014436300en_US

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