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Complex k band diagrams of 3D metamaterial/photonic crystals.

dc.contributor.author Fietz, Chris
dc.contributor.author Urzhumov, Yaroslav
dc.contributor.author Shvets, Gennady
dc.coverage.spatial United States
dc.date.accessioned 2012-01-18T14:13:15Z
dc.date.issued 2011-09-26
dc.identifier http://www.ncbi.nlm.nih.gov/pubmed/21996843
dc.identifier 222539
dc.identifier.uri https://hdl.handle.net/10161/5073
dc.description.abstract A finite element method (FEM) for solving a complex valued k(ω) vs. ω dispersion curve of a 3D metamaterial/photonic crystal system is presented. This 3D method is a generalization of a previously reported 2D eigenvalue method [Opt. Express 15, 9681 (2007)]. This method is particularly convenient for analyzing periodic systems containing dispersive (e.g., plasmonic) materials, for computing isofrequency surfaces in the k-space, and for calculating the decay length of the evanescent waves. Two specific examples are considered: a photonic crystal comprised of dielectric spheres and a plasmonic fishnet structure. Hybridization and avoided crossings between Mie resonances and propagating modes are numerically demonstrated. Negative index propagation of four electromagnetic modes distinguished by their symmetry is predicted for the plasmonic fishnets. By calculating the isofrequency contours, we also demonstrate that the fishnet structure is a hyperbolic medium.
dc.language eng
dc.language.iso en_US
dc.publisher The Optical Society
dc.relation.ispartof Opt Express
dc.subject Computer Simulation
dc.subject Crystallization
dc.subject Equipment Design
dc.subject Manufactured Materials
dc.subject Models, Theoretical
dc.subject Optics and Photonics
dc.subject Photons
dc.subject Refractometry
dc.subject Scattering, Radiation
dc.title Complex k band diagrams of 3D metamaterial/photonic crystals.
dc.type Journal article
duke.contributor.id Urzhumov, Yaroslav|0517923
duke.description.issue 20
duke.description.volume 19
pubs.author-url http://www.ncbi.nlm.nih.gov/pubmed/21996843
pubs.begin-page 19027
pubs.end-page 19041
pubs.issue 20
pubs.organisational-group Duke
pubs.organisational-group Electrical and Computer Engineering
pubs.organisational-group Pratt School of Engineering
pubs.publication-status Published
pubs.volume 19
dc.identifier.eissn 1094-4087


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