Open AccessNovel approach to photonic bands with frequency-dependent dielectric constants
Author(s) -
Kazuaki Sakoda,
Jun Kawamata
Publication year - 1998
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.3.000012
Subject(s) - dielectric , optics , physics , photonic crystal , plane wave expansion method , plane wave , square lattice , dispersion relation , dispersion (optics) , dipole , computational physics , condensed matter physics , quantum mechanics , ising model
We formulated a novel method to calculate the dispersion relations of arbitrary photonic crystals with frequency-dependent dielectric constants based on the numerical simulation of dipole radiation. As an example, we applied this method to a two-dimensional square lattice of metallic cylinders and obtained a good agreement with the previous result by means of the plane-wave expansion method by Kuzmiak et al. [Phys. Rev. B 50, 16 835 (1994)]. In addition to the dispersion relations, we could obtain the symmetries and the wave functions of the eigenmodes.