Bruggeman formalism for two models of uniaxial composite media: Dielectric properties

The Bruggeman formalism is rigorously implemented on two models for homogenizing a composite medium - wherein identical, parallel, isotropic dielectric, cylindrical inclusions of electrically small cross-section are randomly dispersed in a homogeneous, isotropic dielectric host medium. The inclusion medium is supposed to be dispersed in the homogenized composite medium (HCM) as cylindrical particles in both models. However, the host medium is dispersed as cylindrical particles in the first model and as spherical particles in the second. Numerical results show that the Wiener bounds are complied with by both models, although they yield different estimates of the anisotropic dielectric properties of the HCM. Both models also exhibit percolation. Benchmarking against careful experiments appears to be necessary to evaluate the adequacy of either model. The described models may eventually find use for on-line inspection and control of manufacturing processes for aligned fibrous composite media.