Complex k band diagrams of 3D metamaterial/photonic crystals.
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.
Type
Journal articleSubject
Computer SimulationCrystallization
Equipment Design
Manufactured Materials
Models, Theoretical
Optics and Photonics
Photons
Refractometry
Scattering, Radiation
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Yaroslav A. Urzhumov
Adjunct Assistant Professor in the Department of Electrical and Computer Engineering
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<![endif]-->Dr. Urzhumov is Adjunct Assistant Professor of ECE at Duke University,
and also a Technologist at the Metamaterials Commercialization Center of Intellectual
Ventures. Previously a research faculty at Duke, he works on applied and theoretical
aspects of metama

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