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Article: A Novel Eigenvalue Algorithm for the Complex Band Structure and Eigenmodes of Plasmonic Crystals
Title | A Novel Eigenvalue Algorithm for the Complex Band Structure and Eigenmodes of Plasmonic Crystals |
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Authors | |
Keywords | Bandgap Complex Band Structure Plasmonic Crystals |
Issue Date | 2016 |
Publisher | Institute of Electrical and Electronics Engineers: Open Access Journals. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=4563994 |
Citation | IEEE Photonics Journal, 2016, v. 8 n. 2, article no. 4801510 How to Cite? |
Abstract | The 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 Identifier | http://hdl.handle.net/10722/234578 |
ISSN | 2023 Impact Factor: 2.1 2023 SCImago Journal Rankings: 0.558 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Wang, H | - |
dc.contributor.author | Sha, W | - |
dc.contributor.author | Huang, ZX | - |
dc.contributor.author | Wu, XL | - |
dc.date.accessioned | 2016-10-14T13:47:49Z | - |
dc.date.available | 2016-10-14T13:47:49Z | - |
dc.date.issued | 2016 | - |
dc.identifier.citation | IEEE Photonics Journal, 2016, v. 8 n. 2, article no. 4801510 | - |
dc.identifier.issn | 1943-0655 | - |
dc.identifier.uri | http://hdl.handle.net/10722/234578 | - |
dc.description.abstract | The 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.language | eng | - |
dc.publisher | Institute of Electrical and Electronics Engineers: Open Access Journals. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=4563994 | - |
dc.relation.ispartof | IEEE 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.subject | Bandgap | - |
dc.subject | Complex Band Structure | - |
dc.subject | Plasmonic Crystals | - |
dc.title | A Novel Eigenvalue Algorithm for the Complex Band Structure and Eigenmodes of Plasmonic Crystals | - |
dc.type | Article | - |
dc.identifier.email | Wang, H: wangh327@hku.hk | - |
dc.identifier.email | Sha, W: shawei@hku.hk | - |
dc.identifier.authority | Sha, W=rp01605 | - |
dc.description.nature | published_or_final_version | - |
dc.identifier.doi | 10.1109/JPHOT.2016.2536939 | - |
dc.identifier.scopus | eid_2-s2.0-84963957296 | - |
dc.identifier.hkuros | 269505 | - |
dc.identifier.volume | 8 | - |
dc.identifier.issue | 2 | - |
dc.identifier.spage | article no. 4801510 | - |
dc.identifier.epage | article no. 4801510 | - |
dc.identifier.isi | WOS:000388089100018 | - |
dc.publisher.place | United States | - |
dc.identifier.issnl | 1943-0647 | - |