  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.
