
Calculation of effective permittivity, permeability, and surface impedance of negative-refraction photonic crystals
Author(s) -
Zhigang Lu,
Dennis W. Prather
Publication year - 2007
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.15.008340
Subject(s) - permittivity , photonic crystal , negative refraction , optics , materials science , finite difference time domain method , permeability (electromagnetism) , electrical impedance , relative permeability , refractive index , physics , optoelectronics , dielectric , quantum mechanics , membrane , biology , porosity , composite material , genetics
We consider the eigen-fields of a two-dimensional negative-refraction photonic crystal and obtain negative effective permittivity and negative effective permeability. Effective permittivity, permeability, and surface impedance are calculated by averaging the eigen-fields. The value of the surface impedance is shown to be location-dependent and is validated by finite-difference time-domain simulations. The unique power propagation mechanism in the photonic crystal is demonstrated through time-evolution of eigen-fields.