Closed-form expressions for effective constitutive parameters and electro/magneto-strictive tensors for bi-anisotropic metamaterials and their use in optical force density calculations

摘要

Using a multiple scattering technique, we derived closed-form expressions foreffective constitutive parameters and electro/magneto-strictive tensorcomponents for 2D bi-anisotropic metamaterials. Using the principle of virtualwork, we obtained the electromagnetic stress tensor that can be used tocalculate the optical force density inside such media. The analytic expressionsare tested against full wave numerical simulations. Our effective medium theoryis essential for providing a complete macroscopic description of the opticaland opto-mechanical properties of bi-anisotropic composites.