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2011-03-31
Effective Permittivity Tensor for a Metal-Dielectric Superlattice
By
Progress In Electromagnetics Research Letters, Vol. 22, 165-174, 2011
Abstract
We have derived simple analytical expressions for the frequency-dependent effective permittivity tensor of a one-dimensional metal-dielectric photonic crystal in the long wavelength limit. Our results describe the transition between the regime described by Rytov's formulas and that predicted by Xu et al [5], where the effective plasma frequency is independent of the metallic-layer parameters. The derived expressions can be useful for determining the frequency intervals where such an anisotropic system can exhibit metamaterial behavior.
Citation
Benito Zenteno-Mateo Veronica Cerdan-Ramirez Benito Flores-Desirena Mercedes Portillo Sampedro Estela Juarez-Ruiz Felipe Perez-Rodriguez , "Effective Permittivity Tensor for a Metal-Dielectric Superlattice," Progress In Electromagnetics Research Letters, Vol. 22, 165-174, 2011.
doi:10.2528/PIERL11021302
http://www.jpier.org/PIERL/pier.php?paper=11021302
References

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8. Manzanarez-Martinez, J., "Analytic expression for the effective plasma frequency in one-dimensional metallic-dielectric photonic crystal," Progress In Electromagnetics Research M, Vol. 13, 189-202, 2010.
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9. Cerdan-Ramirez, V., B. Zenteno-Mateo, M. P. Sampedro, M. A. Palomino-Ovando, B. Flores-Desirena, and F. Perez-Rodriguez, "Anisotropy effects in homogenized magnetodielectric photonic crystals," J. Appl. Phys., Vol. 106, 103520, 1-8, 2009.

10., "An explicit expression for T=-1 (G) has been derived in Ref. [9] (see Eqs. (33){(37) therein),".

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