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

Fietz, Chris

Urzhumov, Yaroslav

Shvets, Gennady

United States

2012-01-18T14:13:15Z

2011-09-26

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.

http://www.ncbi.nlm.nih.gov/pubmed/21996843

222539

1094-4087

https://hdl.handle.net/10161/5073

eng

en_US

The Optical Society

Opt Express

Computer Simulation

Crystallization

Equipment Design

Manufactured Materials

Models, Theoretical

Optics and Photonics

Photons

Refractometry

Scattering, Radiation

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

Journal article

20

19

http://www.ncbi.nlm.nih.gov/pubmed/21996843

19027

19041

20

Duke

Electrical and Computer Engineering

Pratt School of Engineering

Published

19