Maxwell garnett approach for nonlinear dilute particulate composites with bi-isotropic host media

Homogenization theories foster understanding of the electromagnetic properties of composite materials formed by dispersing electrically small inclusions made of various types of homogeneous media in a homogeneous host medium. In this paper, the Maxwell Garnett approach is applied to homogenize a broad class of nonlinear composites. While the host is a linear bi-isotropic medium, the inclusions are made of a nonlinear anisotropic dielectric medium. Bloembergen's formalism, originally developed for nonlinear isotropic dielectric inclusions dispersed in a linear isotropic dielectric host medium, is employed for the estimation of local fields; and its applicabillity for this considerably more general problem is critically examined and contextualized. The homogenized composite displays a rich behaviour due to the chirality of the host medium, and novel optical applications are therefore anticipated.