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Conference Paper: Succinct way to diagonalize the translation matrix in three dimensions

TitleSuccinct way to diagonalize the translation matrix in three dimensions
Authors
Issue Date1997
Citation
Ieee Antennas And Propagation Society, Ap-S International Symposium (Digest), 1997, v. 3, p. 2072-2075 How to Cite?
AbstractThe translation matrix for the three dimensional Helmholtz wave equation was successfully diagonalized using an alternative and succinct method. The method reveals the relationship between the translation matrices and their representation of the translation group. A diagonalization is expected under a plane-wave basis for the representation since a plane-wave basis forms an irreducible representation for the translation group. Hence, the diagonalization of the translation matrices from the spherical harmonic representation can be viewed as a series of similarity transforms. The result can be used in the fast multimode method where multiple scattering involves interaction between multipoles.
Persistent Identifierhttp://hdl.handle.net/10722/182867
ISSN

 

DC FieldValueLanguage
dc.contributor.authorChew, WCen_US
dc.contributor.authorKoc, Sen_US
dc.contributor.authorSong, JMen_US
dc.contributor.authorLu, CCen_US
dc.contributor.authorMichielssen, Een_US
dc.date.accessioned2013-05-02T05:17:25Z-
dc.date.available2013-05-02T05:17:25Z-
dc.date.issued1997en_US
dc.identifier.citationIeee Antennas And Propagation Society, Ap-S International Symposium (Digest), 1997, v. 3, p. 2072-2075en_US
dc.identifier.issn0272-4693en_US
dc.identifier.urihttp://hdl.handle.net/10722/182867-
dc.description.abstractThe translation matrix for the three dimensional Helmholtz wave equation was successfully diagonalized using an alternative and succinct method. The method reveals the relationship between the translation matrices and their representation of the translation group. A diagonalization is expected under a plane-wave basis for the representation since a plane-wave basis forms an irreducible representation for the translation group. Hence, the diagonalization of the translation matrices from the spherical harmonic representation can be viewed as a series of similarity transforms. The result can be used in the fast multimode method where multiple scattering involves interaction between multipoles.en_US
dc.languageengen_US
dc.relation.ispartofIEEE Antennas and Propagation Society, AP-S International Symposium (Digest)en_US
dc.titleSuccinct way to diagonalize the translation matrix in three dimensionsen_US
dc.typeConference_Paperen_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-s2.0-0030675337en_US
dc.identifier.volume3en_US
dc.identifier.spage2072en_US
dc.identifier.epage2075en_US
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridChew, WC=36014436300en_US
dc.identifier.scopusauthoridKoc, S=7003829699en_US
dc.identifier.scopusauthoridSong, JM=7404788341en_US
dc.identifier.scopusauthoridLu, CC=7404804587en_US
dc.identifier.scopusauthoridMichielssen, E=7005196479en_US

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