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

TL;DR

This paper derives closed-form formulas for effective parameters and tensors of 2D bi-anisotropic metamaterials, enabling accurate optical force density calculations and advancing the understanding of their macroscopic electromagnetic and mechanical behavior.

Contribution

The paper introduces new analytical expressions for effective constitutive and electro/magneto-strictive tensors in bi-anisotropic metamaterials, validated against numerical simulations.

Findings

Closed-form expressions match numerical results

Effective medium theory describes optical and mechanical properties

Enables precise optical force density calculations

Abstract

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