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Proceedings Paper

Mean field theory of metallo-dielectric photonic crystals with magnetic components: the long-wavelength limit
Author(s): E. Reyes-Ayona; P. Halevi
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Paper Abstract

Recently there has been developed a homogenization theory of photonic crystals, based on the averaging of the Maxwell Equations within the unitary cell. It leads to the bianisotropic response with the electric displacement D and the magnetic induction B vectors both depending linearly on the electric E and magnetic H fields. Despite the generality of this theory, the case of naturally magnetic ingredients has not been considered. For this reason, in this work we extend the aforementioned theory in this sense. In this way the ingredients of the unitary cell are characterized by a permeability, in addition to a generalized complex conductivity. These parameters are assumed to be given for every position in the unitary cell of the photonic crystal. We conclude that in the presence of naturally magnetic ingredients the medium response is still bianisotropic, but now the material dyadics depend on both the permeability and complex conductivity. Numerical results are given for the case of a one-dimensional photonic crystal with ferrite layers.

Paper Details

Date Published: 28 September 2007
PDF: 7 pages
Proc. SPIE 6638, Photonic Metamaterials, 66380G (28 September 2007); doi: 10.1117/12.735063
Show Author Affiliations
E. Reyes-Ayona, Instituto Nacional de Astrofísica, Óptica y Electrónica (Mexico)
P. Halevi, Instituto Nacional de Astrofísica, Óptica y Electrónica (Mexico)

Published in SPIE Proceedings Vol. 6638:
Photonic Metamaterials
Mikhail A. Noginov; Nikolay I. Zheludev; Allan D. Boardman; Nader Engheta, Editor(s)

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