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Article: Dyadic formulation of morphology-dependent resonances. I. Completeness relation

TitleDyadic formulation of morphology-dependent resonances. I. Completeness relation
Authors
Issue Date1999
PublisherOptical Society of America. The Journal's web site is located at http://josab.osa.org/journal/josab/about.cfm
Citation
Journal Of The Optical Society Of America B: Optical Physics, 1999, v. 16 n. 9, p. 1409-1417 How to Cite?
AbstractThe magnetic (or electric) fields of morphology-dependent resonances of a dielectric sphere are shown to form an orthogonal complete set for expanding divergence-free vectorial functions inside the dielectric sphere, provided that there is a spatial discontinuity in its refractive index, say, at the edge of the sphere. A transverse projection dyad that picks up the divergence-free part (or its generalization) of a vector is defined and shown to be expandable in terms of the magnetic (or electric) fields of these morphology-dependent resonances. More-over, the transverse dyadic Green's function in these dielectric spheres is in turn expressed as a sum of tensor products of relevant morphology-dependent resonance fields. Each term in the sum manifests itself as a resonant response to external perturbations. Thus the morphology-dependent resonance expansion provides a powerful tool to analyze various optical phenomena in dielectric spheres. © 1999 Optical Society of America.
Persistent Identifierhttp://hdl.handle.net/10722/132511
ISSN
2015 Impact Factor: 1.731
2015 SCImago Journal Rankings: 1.139
References

 

DC FieldValueLanguage
dc.contributor.authorLee, KMen_HK
dc.contributor.authorLeung, PTen_HK
dc.contributor.authorPang, KMen_HK
dc.date.accessioned2011-03-28T09:25:43Z-
dc.date.available2011-03-28T09:25:43Z-
dc.date.issued1999en_HK
dc.identifier.citationJournal Of The Optical Society Of America B: Optical Physics, 1999, v. 16 n. 9, p. 1409-1417en_HK
dc.identifier.issn0740-3224en_HK
dc.identifier.urihttp://hdl.handle.net/10722/132511-
dc.description.abstractThe magnetic (or electric) fields of morphology-dependent resonances of a dielectric sphere are shown to form an orthogonal complete set for expanding divergence-free vectorial functions inside the dielectric sphere, provided that there is a spatial discontinuity in its refractive index, say, at the edge of the sphere. A transverse projection dyad that picks up the divergence-free part (or its generalization) of a vector is defined and shown to be expandable in terms of the magnetic (or electric) fields of these morphology-dependent resonances. More-over, the transverse dyadic Green's function in these dielectric spheres is in turn expressed as a sum of tensor products of relevant morphology-dependent resonance fields. Each term in the sum manifests itself as a resonant response to external perturbations. Thus the morphology-dependent resonance expansion provides a powerful tool to analyze various optical phenomena in dielectric spheres. © 1999 Optical Society of America.en_HK
dc.languageengen_US
dc.publisherOptical Society of America. The Journal's web site is located at http://josab.osa.org/journal/josab/about.cfmen_HK
dc.relation.ispartofJournal of the Optical Society of America B: Optical Physicsen_HK
dc.titleDyadic formulation of morphology-dependent resonances. I. Completeness relationen_HK
dc.typeArticleen_HK
dc.identifier.emailLee, KM: kmlee1@hkucc.hku.hken_HK
dc.identifier.authorityLee, KM=rp01471en_HK
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.scopuseid_2-s2.0-0033420434en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0033420434&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume16en_HK
dc.identifier.issue9en_HK
dc.identifier.spage1409en_HK
dc.identifier.epage1417en_HK
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridLee, KM=26659913500en_HK
dc.identifier.scopusauthoridLeung, PT=7401747830en_HK
dc.identifier.scopusauthoridPang, KM=7101856052en_HK

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