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Article: Diagonalizations of vector and tensor addition theorems
Title | Diagonalizations of vector and tensor addition theorems |
---|---|
Authors | |
Keywords | Addition Theorem Fast Algorithm Tensor Field Vector Field |
Issue Date | 2008 |
Publisher | Global 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? |
Abstract | Based 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 Identifier | http://hdl.handle.net/10722/182755 |
ISSN | 2023 Impact Factor: 2.6 2023 SCImago Journal Rankings: 1.176 |
References |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | He, B | en_US |
dc.contributor.author | Chew, WC | en_US |
dc.date.accessioned | 2013-05-02T05:16:43Z | - |
dc.date.available | 2013-05-02T05:16:43Z | - |
dc.date.issued | 2008 | en_US |
dc.identifier.citation | Communications In Computational Physics, 2008, v. 4 n. 4, p. 797-819 | en_US |
dc.identifier.issn | 1815-2406 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/182755 | - |
dc.description.abstract | Based 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.language | eng | en_US |
dc.publisher | Global Science Press. The Journal's web site is located at http://www.global-sci.com/ | en_US |
dc.relation.ispartof | Communications in Computational Physics | en_US |
dc.subject | Addition Theorem | en_US |
dc.subject | Fast Algorithm | en_US |
dc.subject | Tensor Field | en_US |
dc.subject | Vector Field | en_US |
dc.title | Diagonalizations of vector and tensor addition theorems | 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.scopus | eid_2-s2.0-54449090169 | en_US |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-54449090169&selection=ref&src=s&origin=recordpage | en_US |
dc.identifier.volume | 4 | en_US |
dc.identifier.issue | 4 | en_US |
dc.identifier.spage | 797 | en_US |
dc.identifier.epage | 819 | en_US |
dc.publisher.place | Hong Kong | en_US |
dc.identifier.scopusauthorid | He, B=55456315000 | en_US |
dc.identifier.scopusauthorid | Chew, WC=36014436300 | en_US |
dc.identifier.issnl | 1815-2406 | - |