  An implementation of the strong-permittivity-fluctuation theory (SPFT) is
presented in order to estimate the constitutive parameters of a homogenized
composite material (HCM) which is both cubically nonlinear and anisotropic.
Unlike conventional approaches to homogenization, the particles which comprise
the component material phases are herein assumed to be small but not
vanishingly small. The influence of particle size on the estimates of the HCM
constitutive parameters is illustrated by means of a representative numerical
example. It is observed that, by taking the nonzero particle size into
consideration, attenuation is predicted and nonlinearity enhancement is
somewhat diminished. In these respects, the effect of particle size is similar
to that of correlation length within the bilocally-approximated SPFT.
