Anisotropic composite materials with intensity-dependent permittivity tensor: The bruggeman approach

The Bruggeman approach is implemented to homogenize a collection of identical, similarly oriented, electrically small, ellipsoidal particles with intensity-dependent refractive index that are dispersed randomly and homogeneously in an isotropic, linear, dielectric host material. The homogenized composite medium is assumed to be cubically nonlinear and anisotropic, in the simplest approximation. The anisotropy of nonlinearity may be considerably different from the anisotropy of the linearity. The possible enhancement of nonlinearity is also anisotropic, with the most desirable performance along the shortest principal axis of the ellipsoidal particles.