Bi-anisotropic homogenization of metamaterials

Homogénéisation bi-anisotrope des métamatériaux

Geoffroy Klotz (1, 2) , Nicolas Mallejac (1) , Stefan Enoch (2)

1 CEA Le Ripault - CEA Le Ripault
2 FRESNEL - Institut FRESNEL

Electromagnetic meta-materials composed of a 3-D lattice of small conducting resonators can be convenient to reach interesting permittivity and permeability levels, especially for applications such as invisibility cloaking or superlenses. In this article, we present a fast dipolar expansion of meta-atoms based on the far-field extracted from a simulation or experimentation. Using a dipole approximation of the field scattered by a single inclusion, we develop a homogenization method based on the Clausius-Mossotti relation, taking into account the interactions between meta-atoms. We then establish a generalization of the Clausius-Mossotti relation for bi-anisotropic meta-materials to extend our methodology to a more general class of meta-atoms. Some examples are given based on full-wave simulations of a meta-atom, and a comparison with other approaches allows an evaluation of the relevance of this methodology.

Domaines: Electromagnétisme; Optique / photonique

Geoffroy Klotz, Nicolas Mallejac, Stefan Enoch. Bi-anisotropic homogenization of metamaterials. 2020. ⟨hal-02533037⟩