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Article: Use of Huygens' equivalence principle for solving the volume integral equation of scattering

TitleUse of Huygens' equivalence principle for solving the volume integral equation of scattering
Authors
Issue Date1993
Citation
Ieee Transactions On Antennas And Propagation, 1993, v. 41 n. 7, p. 897-904 How to Cite?
AbstractA new algorithm is introduced to solve the volume integral equation of scattering. A volume scatterer is first divided into N subscatterers. Then the subscatterers are divided into four groups, and the groups are in turn divided into four subgroups and so on. By using the idea found in many fast algorithms, a smaller problem can hence be nested within a larger problem. Moreover, by way of Huygens' equivalence principle, the scattering properties of a group of subscatterers in a volume can be replaced by a group of subscatterers distributed on a surface enclosing the volume. Based on this idea, we present an algorithm which solves the scattering problem by several stages, where at each stage the interaction matrix algorithm is first used to find the scattering solution of each subgroup of subscatterers. Subscatterers are then replaced by equivalent surface subscatterers which are used in the next stage. Consequently, this results in a reduction in the number of subscatterers at every stage. This algorithm can be shown to have a CPU time asymptotically proportional to N1.5 for N subscatterers.
Persistent Identifierhttp://hdl.handle.net/10722/182533
ISSN
2015 Impact Factor: 2.053
2015 SCImago Journal Rankings: 2.130
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorChew, Weng Choen_US
dc.contributor.authorLu, CaiChengen_US
dc.date.accessioned2013-05-02T05:15:46Z-
dc.date.available2013-05-02T05:15:46Z-
dc.date.issued1993en_US
dc.identifier.citationIeee Transactions On Antennas And Propagation, 1993, v. 41 n. 7, p. 897-904en_US
dc.identifier.issn0018-926Xen_US
dc.identifier.urihttp://hdl.handle.net/10722/182533-
dc.description.abstractA new algorithm is introduced to solve the volume integral equation of scattering. A volume scatterer is first divided into N subscatterers. Then the subscatterers are divided into four groups, and the groups are in turn divided into four subgroups and so on. By using the idea found in many fast algorithms, a smaller problem can hence be nested within a larger problem. Moreover, by way of Huygens' equivalence principle, the scattering properties of a group of subscatterers in a volume can be replaced by a group of subscatterers distributed on a surface enclosing the volume. Based on this idea, we present an algorithm which solves the scattering problem by several stages, where at each stage the interaction matrix algorithm is first used to find the scattering solution of each subgroup of subscatterers. Subscatterers are then replaced by equivalent surface subscatterers which are used in the next stage. Consequently, this results in a reduction in the number of subscatterers at every stage. This algorithm can be shown to have a CPU time asymptotically proportional to N1.5 for N subscatterers.en_US
dc.languageengen_US
dc.relation.ispartofIEEE Transactions on Antennas and Propagationen_US
dc.titleUse of Huygens' equivalence principle for solving the volume integral equation of scatteringen_US
dc.typeArticleen_US
dc.identifier.emailChew, Weng Cho: wcchew@hku.hken_US
dc.identifier.authorityChew, Weng Cho=rp00656en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1109/8.237620en_US
dc.identifier.scopuseid_2-s2.0-0027635244en_US
dc.identifier.volume41en_US
dc.identifier.issue7en_US
dc.identifier.spage897en_US
dc.identifier.epage904en_US
dc.identifier.isiWOS:A1993LY04800008-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridChew, Weng Cho=36014436300en_US
dc.identifier.scopusauthoridLu, CaiCheng=7404804587en_US

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