title: 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.
authors: Dept. of Physics, The University of Texas at Austin, Austin, Texas 78712, USA.
authors: Chris
authors: C
authors: Fietz
authors: Yaroslav
authors: Y
authors: Urzhumov
authors: Gennady
authors: G
authors: Shvets
mesh_terms: D003198:Computer Simulation; D003460:Crystallization / Q000295:instrumentation*; D004867:Equipment Design; D008420:Manufactured Materials; D008962:Models, Theoretical; D055095:Optics and Photonics; D017785:Photons; D012031:Refractometry / Q000295:instrumentation*; D012542:Scattering, Radiation