Mean field theory of metallo-dielectric photonic crystals with magnetic components: the long-wavelength limit

E. Reyes-Ayona; P. Halevi

doi:10.1117/12.735063

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28 September 2007 Mean field theory of metallo-dielectric photonic crystals with magnetic components: the long-wavelength limit

E. Reyes-Ayona, P. Halevi

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Proceedings Volume 6638, Photonic Metamaterials; 66380G (2007) https://doi.org/10.1117/12.735063
Event: NanoScience + Engineering, 2007, San Diego, California, United States

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.

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E. Reyes-Ayona and P. Halevi "Mean field theory of metallo-dielectric photonic crystals with magnetic components: the long-wavelength limit", Proc. SPIE 6638, Photonic Metamaterials, 66380G (28 September 2007); https://doi.org/10.1117/12.735063

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