Electro-magnetostatic homogenization of bianisotropic metamaterials
Chris Fietz
TL;DR
This paper develops and compares two methods of asymptotic homogenization to determine the effective electromagnetic properties of bianisotropic metamaterials, validated through examples and an analytical solution.
Contribution
It introduces two implementations of electromagnetic asymptotic homogenization for bianisotropic metamaterials and derives an analytical solution for a specific case.
Findings
Two homogenization methods are validated on different metamaterials.
An analytical solution for 1D bi-isotropic metamaterials is provided.
The methods accurately predict effective constitutive parameters.
Abstract
We apply the method of asymptotic homogenization to metamaterials with microscopically bianisotropic inclusions to calculate a full set of constitutive parameters in the long wavelength limit. Two different implementations of electromagnetic asymptotic homogenization are presented. We test the homogenization procedure on two different metamaterial examples. Finally, the analytical solution for long wavelength homogenization of a one dimensional metamaterial with microscopically bi-isotropic inclusions is derived.
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