COMPUTATION OF THE EFFECTIVE DIELECTRIC-CONSTANT OF 2-COMPONENT, 3-DIMENSIONAL MIXTURES USING A SIMPLE POLE EXPANSION METHOD

Bergman and Milton proved that the effective dielectric constant or co nductivity of a two-component composite material is a function of the ratio of the dielectric constants or conductivities of the components which can be described by a series of simple poles and residues. These poles and residues are determined only by the microgeometry of the co mposite. In this study, we use a simplified three-dimensional Fourier series expansion method to locate the poles and residues for simple cu bic, body-centered, and face-centered lattices in different concentrat ions. Comparison between the simple pole theory and the Fourier series expansion method shows a good agreement. (C) 1997 American institute of Physics.