Application of the Finite-Difference Frequency-Domain Method to the Extraction of the Effective Parameters of Metamaterials

Physics – Condensed Matter – Materials Science

Scientific paper

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34 pages, 11 Figs, submitted on July 2009

Scientific paper

Here, we report a numerical implementation of the nonlocal homogenization approach recently proposed in [M. Silveirinha, Phys. Rev. B 75, 115104 (2007)], using the finite difference frequency-domain method to discretize the Maxwell-Equations. We apply the developed formalism to characterize the nonlocal dielectric function of several structured materials formed by dielectric and metallic particles, and in particular, we extract the local permittivity, permeability and magnetoelectric coupling parameters when these are meaningful. It is shown that the finite differences frequency domain implementation of the homogenization method is stable and robust, yielding very accurate results.

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