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Article: A Novel Eigenvalue Algorithm for the Complex Band Structure and Eigenmodes of Plasmonic Crystals

TitleA Novel Eigenvalue Algorithm for the Complex Band Structure and Eigenmodes of Plasmonic Crystals
Authors
KeywordsBandgap
Complex Band Structure
Plasmonic Crystals
Issue Date2016
PublisherInstitute of Electrical and Electronics Engineers (IEEE): OAJ. The Journal's web site is located at http://www.photonicsjournal.org
Citation
IEEE Photonics Journal, 2016, v. 8 n. 2, article no. 4801510 How to Cite?
AbstractThe influence of ohmic (metallic) loss on the complex band structure (BS) and eigenmodes of 2-D plasmonic crystals is investigated. With the help of wave equations and periodic boundary conditions, a finite-difference-based eigenvalue algorithm is proposed to model the plasmonic crystals with arbitrarily lossy and dispersive materials. Given a frequency of interests, the algorithm solves one complex Bloch wavenumber as the eigenvalue via fixing another. Most importantly, the developed eigenvalue analysis could expand the bulk excitation solution with eigenmodes, which satisfies the generalized phase (momentum) matching condition. For a TE polarization with H z field, the ohmic loss strongly affects the BS and eigenmodes at plasmonic resonance frequencies. Both the fast oscillation of a dispersion curve and strong field confinement of eigenmodes are damped due to the high ohmic loss. For a TM polarization with E z field, the introduction of ohmic loss twists the vertical dispersion curve at the bandgap and breaks the symmetry of the eigenmodes. For both polarizations, the high ohmic loss lowers the quality factor of the eigenmodes. This paper offers a fundamental and important eigenvalue analysis for designing lossy and dispersive plasmonic crystals.
Persistent Identifierhttp://hdl.handle.net/10722/234578
ISSN
2017 Impact Factor: 2.627
2015 SCImago Journal Rankings: 1.233
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorWang, H-
dc.contributor.authorSha, W-
dc.contributor.authorHuang, ZX-
dc.contributor.authorWu, XL-
dc.date.accessioned2016-10-14T13:47:49Z-
dc.date.available2016-10-14T13:47:49Z-
dc.date.issued2016-
dc.identifier.citationIEEE Photonics Journal, 2016, v. 8 n. 2, article no. 4801510-
dc.identifier.issn1943-0655-
dc.identifier.urihttp://hdl.handle.net/10722/234578-
dc.description.abstractThe influence of ohmic (metallic) loss on the complex band structure (BS) and eigenmodes of 2-D plasmonic crystals is investigated. With the help of wave equations and periodic boundary conditions, a finite-difference-based eigenvalue algorithm is proposed to model the plasmonic crystals with arbitrarily lossy and dispersive materials. Given a frequency of interests, the algorithm solves one complex Bloch wavenumber as the eigenvalue via fixing another. Most importantly, the developed eigenvalue analysis could expand the bulk excitation solution with eigenmodes, which satisfies the generalized phase (momentum) matching condition. For a TE polarization with H z field, the ohmic loss strongly affects the BS and eigenmodes at plasmonic resonance frequencies. Both the fast oscillation of a dispersion curve and strong field confinement of eigenmodes are damped due to the high ohmic loss. For a TM polarization with E z field, the introduction of ohmic loss twists the vertical dispersion curve at the bandgap and breaks the symmetry of the eigenmodes. For both polarizations, the high ohmic loss lowers the quality factor of the eigenmodes. This paper offers a fundamental and important eigenvalue analysis for designing lossy and dispersive plasmonic crystals.-
dc.languageeng-
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE): OAJ. The Journal's web site is located at http://www.photonicsjournal.org-
dc.relation.ispartofIEEE Photonics Journal-
dc.rights© 2016 IEEE. Translations and content mining are permitted for academic research only. Personal use is also permitted, but republication/redistribution requires IEEE permission. See http://www.ieee.org/publications_standards/publications/rights/index.html for more information.-
dc.subjectBandgap-
dc.subjectComplex Band Structure-
dc.subjectPlasmonic Crystals-
dc.titleA Novel Eigenvalue Algorithm for the Complex Band Structure and Eigenmodes of Plasmonic Crystals-
dc.typeArticle-
dc.identifier.emailWang, H: wangh327@hku.hk-
dc.identifier.emailSha, W: shawei@hku.hk-
dc.identifier.authoritySha, W=rp01605-
dc.description.naturepublished_or_final_version-
dc.identifier.doi10.1109/JPHOT.2016.2536939-
dc.identifier.scopuseid_2-s2.0-84963957296-
dc.identifier.hkuros269505-
dc.identifier.volume8-
dc.identifier.issue2-
dc.identifier.spagearticle no. 4801510-
dc.identifier.epagearticle no. 4801510-
dc.identifier.isiWOS:000388089100018-
dc.publisher.placeUnited States-

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