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Band structure of magneto‐metallo‐dielectric photonic crystals with hybrid one‐ and two‐dimensional periodicity
Author(s) -
ReyesAyona E.,
Halevi P.
Publication year - 2012
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.201100547
Subject(s) - permittivity , condensed matter physics , materials science , dielectric , photonic crystal , drude model , ferrite (magnet) , dielectric permittivity , permeability (electromagnetism) , optics , dispersion relation , refractive index , eigenvalues and eigenvectors , physics , optoelectronics , composite material , chemistry , quantum mechanics , biochemistry , membrane
We calculate the band structure of a magneto‐metallo‐dielectric photonic crystal (PC) with hybrid one‐ and two‐dimensional periodicity. Namely, the permittivity (permeability) is periodic in a plane (single direction). The metallic and magnetic properties are described, respectively, by means of the Drude model and a specific permeability model for Barium‐M ferrite. Because of the dispersion of both the permeability and the permittivity, we obtain a non‐standard eigenvalue problem which is possible to solve by means of a linearization technique. We found that the first band of this PC is very sensitive to the filling fraction of the magnetic component: by changing this fraction from 0.20 to 0.16 the slope – and effective index of refraction – changes from positive to negative.