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Article: Diagonalizations of vector and tensor addition theorems

TitleDiagonalizations of vector and tensor addition theorems
Authors
KeywordsAddition Theorem
Fast Algorithm
Tensor Field
Vector Field
Issue Date2008
PublisherGlobal Science Press. The Journal's web site is located at http://www.global-sci.com/
Citation
Communications In Computational Physics, 2008, v. 4 n. 4, p. 797-819 How to Cite?
AbstractBased on the generalizations of the Funk-Hecke formula and the Rayleigh plan-wave expansion formula, an alternative and succinct derivation of the addition theorem for general tensor field is obtained. This new derivation facilitates the diagonalization of the tensor addition theorem. In order to complete this derivation, we have carried out the evaluation of the generalization of the Gaunt coefficient for tensor fields. Since vector fields (special case of tensor fields) are very useful in practice, we discuss vector multipole fields and vector addition theorem in details. The work is important in multiple scattering and fast algorithms in wave physics. © 2008 Global-Science Press.
Persistent Identifierhttp://hdl.handle.net/10722/182755
ISSN
2015 Impact Factor: 1.778
2015 SCImago Journal Rankings: 1.198
References

 

DC FieldValueLanguage
dc.contributor.authorHe, Ben_US
dc.contributor.authorChew, WCen_US
dc.date.accessioned2013-05-02T05:16:43Z-
dc.date.available2013-05-02T05:16:43Z-
dc.date.issued2008en_US
dc.identifier.citationCommunications In Computational Physics, 2008, v. 4 n. 4, p. 797-819en_US
dc.identifier.issn1815-2406en_US
dc.identifier.urihttp://hdl.handle.net/10722/182755-
dc.description.abstractBased on the generalizations of the Funk-Hecke formula and the Rayleigh plan-wave expansion formula, an alternative and succinct derivation of the addition theorem for general tensor field is obtained. This new derivation facilitates the diagonalization of the tensor addition theorem. In order to complete this derivation, we have carried out the evaluation of the generalization of the Gaunt coefficient for tensor fields. Since vector fields (special case of tensor fields) are very useful in practice, we discuss vector multipole fields and vector addition theorem in details. The work is important in multiple scattering and fast algorithms in wave physics. © 2008 Global-Science Press.en_US
dc.languageengen_US
dc.publisherGlobal Science Press. The Journal's web site is located at http://www.global-sci.com/en_US
dc.relation.ispartofCommunications in Computational Physicsen_US
dc.subjectAddition Theoremen_US
dc.subjectFast Algorithmen_US
dc.subjectTensor Fielden_US
dc.subjectVector Fielden_US
dc.titleDiagonalizations of vector and tensor addition theoremsen_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-s2.0-54449090169en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-54449090169&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume4en_US
dc.identifier.issue4en_US
dc.identifier.spage797en_US
dc.identifier.epage819en_US
dc.publisher.placeHong Kongen_US
dc.identifier.scopusauthoridHe, B=55456315000en_US
dc.identifier.scopusauthoridChew, WC=36014436300en_US

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