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

Abstract : 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.
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Submitted on : Monday, January 21, 2013 - 4:51:20 PM
Last modification on : Friday, December 7, 2018 - 1:29:23 AM

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

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