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

The Bruggeman approach is implemented to homogenize a collection of identic al, similarly oriented, electrically small, ellipsoidal particles with inte nsity-dependent refractive index that are dispersed randomly and homogeneou sly in an isotropic, linear, dielectric host material. The homogenized comp osite medium is assumed to be cubically nonlinear and anisotropic, in the s implest approximation. The anisotropy of nonlinearity may be considerably d ifferent 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.