Abstract
We discuss a simple first-principles homogenization theory for describing, in the long-wavelength limit, the effective bianisotropic response of a periodic metamaterial composite without intrinsic chiral and magnetic inclusions. In the case where the dielectric contrast is low, we obtain a full analytical description which can be considered the extension of Landau-Lifshitz-Looyenga effective-medium formulation in the context of periodic metamaterials.
Highlights
IntroductionTailoring the desired electromagnetic response of a composite structure is one of the main challenges of modern photonics and metamaterial science is the natural platform to achieve this goal
Tailoring the desired electromagnetic response of a composite structure is one of the main challenges of modern photonics and metamaterial science is the natural platform to achieve this goal.Metamaterials are composite materials artificially manufactured by repeating individual subwavelength elements designed to mimic, at a mesoscopic scale, the electromagnetic response of atoms and molecules
In the case where the dielectric contrast is low, we develop a simple full analytical theory which can be considered the extension of Landau-Lifshitz-Looyenga (LLL) effective-medium approach in the context of periodic metamaterials
Summary
Tailoring the desired electromagnetic response of a composite structure is one of the main challenges of modern photonics and metamaterial science is the natural platform to achieve this goal. Exploiting the fact that a metamaterial is Photonics 2015, 2 characterized by a subwavelength inhomogeneity scale, one generally assumes that its electromagnetic response coincides with that of a homogeneous medium and suitable phenomenological material parameters (such as effective permittivity and/or permeability) can be introduced for describing the effective medium response. Following the theory developed in Reference [12], we discuss a multiscale approach describing the electromagnetic (chiral) bianisotropic response, in the long wavelength regime, of a dielectric periodic medium whose underlying constituents are achiral and non-magnetic. In the case where the dielectric contrast is low, we develop a simple full analytical theory which can be considered the extension of Landau-Lifshitz-Looyenga (LLL) effective-medium approach in the context of periodic metamaterials.
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