Maxwell Garnett formalism for weakly nonlinear, bianisotropic, dilute, particulate composite media

The homogenization of a composite medium formed by randomly dispersing electrically small, weakly nonlinear, bianisotropic, ellipsoidal inclusions in a linear bianisotropic host medium is considered. The effective constitutive properties of the homogenized composite medium (HCM) are estimated using the Maxwell Garnett formalism. The linear and nonlinear properties of the HCM are estimated separately because the nonlinearity of the inclusions is weak and the composite medium is dilute. Whereas previously available results were confined to simple dielectric media and spherical inclusions, the reach of the presented formalism is vast and can be significant for numerous technological applications.