Dynamic homogenization of split-ring metamaterials by Floquet-Bloch decomposition

Hicham Belyamoun (1) , Olivier Dubrunfaut (1) , Saïd Zouhdi (1)

1 LGEP - Laboratoire de génie électrique de Paris

We apply a novel dynamic homogenization technique to determine the frequency-dependent effective permeability of split-rings arrays. The Floquet-Bloch decomposition of Maxwell equations in this metamaterial is applied when the wavelength is much bigger than the material's period. We replace the inclusion with a closed ring, and numerically simulate the model by nodal finite elements and a reasonable number of tetrahedral mesh elements. Our results show a good agreement with an analytical permeability law for 2D structures. This work also proposes an accurate method to model the magnetic field in the unit cell.

Domaines: Sciences de l'ingénieur [physics]

Hicham Belyamoun, Olivier Dubrunfaut, Saïd Zouhdi. Dynamic homogenization of split-ring metamaterials by Floquet-Bloch decomposition. Applied physics. A, Materials science & processing, 2012, 109 (4), pp.1043-1051. ⟨10.1007/s00339-012-7383-7⟩. ⟨hal-00779088⟩