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Article: New formulation and iterative solution for low-frequency volume integral equation
Title | New formulation and iterative solution for low-frequency volume integral equation |
---|---|
Authors | |
Issue Date | 2005 |
Publisher | Taylor & 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? |
Abstract | An 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 Identifier | http://hdl.handle.net/10722/182704 |
ISSN | 2023 Impact Factor: 1.2 2023 SCImago Journal Rankings: 0.376 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Chiang, IT | en_US |
dc.contributor.author | Chew, WC | en_US |
dc.date.accessioned | 2013-05-02T05:16:31Z | - |
dc.date.available | 2013-05-02T05:16:31Z | - |
dc.date.issued | 2005 | en_US |
dc.identifier.citation | Journal Of Electromagnetic Waves And Applications, 2005, v. 19 n. 3, p. 289-306 | en_US |
dc.identifier.issn | 0920-5071 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/182704 | - |
dc.description.abstract | An 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.language | eng | en_US |
dc.publisher | Taylor & Francis Ltd. The Journal's web site is located at http://www.tandfonline.com/toc/tewa20/current | en_US |
dc.relation.ispartof | Journal of Electromagnetic Waves and Applications | en_US |
dc.title | New formulation and iterative solution for low-frequency volume integral equation | 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 | 10.1163/1569393054139633 | en_US |
dc.identifier.scopus | eid_2-s2.0-15744376978 | en_US |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-15744376978&selection=ref&src=s&origin=recordpage | en_US |
dc.identifier.volume | 19 | en_US |
dc.identifier.issue | 3 | en_US |
dc.identifier.spage | 289 | en_US |
dc.identifier.epage | 306 | en_US |
dc.identifier.isi | WOS:000228023500001 | - |
dc.publisher.place | Netherlands | en_US |
dc.identifier.scopusauthorid | Chiang, IT=7006017692 | en_US |
dc.identifier.scopusauthorid | Chew, WC=36014436300 | en_US |
dc.identifier.issnl | 0920-5071 | - |