Electro-magnetostatic homogenization of bianisotropic metamaterials

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.

References in corpus (2)

• First-Principle Homogenization Theory for Periodic Metamaterials
• Non-local effective medium of metamaterial

Cited by in corpus (2)

• Closed-form expressions for effective constitutive parameters and electro/magneto-strictive tensors for bi-anisotropic metamaterials and their use in optical force density calculations
• On Fresnel-Airy Equations, Fabry-Perot Resonances and Surface Electromagnetic Waves in Arbitrary Bianisotropic Metamaterials, including with Multi-Hyperbolic Fresnel Wave Surfaces