Speed of light in a 2D photonic crystal in the low-frequency limit

We consider an arbitrary 2D periodic structure in the low-frequency limit and demonstrate that it exhibits birefringence for propagation in the plane of periodicity. For polarization parallel to the cylinder axis the effective dielectric constant, ε eff is just the average of the constituents, as kn...

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Bibliographic Details
Published in:Physica A 1997-07, Vol.241 (1), p.52-57
Main Authors: Krokhin, A.A., Arriaga, J., Halevi, P.
Format: Article
Language:English
Subjects:
Birefringence
Dielectric function
Periodic dielectric structures
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Summary:We consider an arbitrary 2D periodic structure in the low-frequency limit and demonstrate that it exhibits birefringence for propagation in the plane of periodicity. For polarization parallel to the cylinder axis the effective dielectric constant, ε eff is just the average of the constituents, as known. On the other hand, for in-plane polarization, ε eff is a function of the propagation direction. Numerical calculations have been performed for triangular cylinders forming a square lattice. This leads to an anisotropy as large as 20%, much in excess of anisotropy observed in natural crystals.
ISSN:0378-4371
1873-2119
DOI:10.1016/S0378-4371(97)00058-7