Stieltjes representation of the 3D Bruggeman effective medium and Padé approximation (Q531619)

This paper is mainly concerned with a derivation of an analytic Stieltjes integral representation for the 3D Bruggeman effective medium model with continuous spectral density function. By using the constrained rational Padé algorithm, the authors construct a low order discrete approximation of the continuous spectral density function. It is also investigated the efficiency of the the constrained Padé approximation method for inverse homogenization for the case of Bruggeman composite model with continuous spectral density. Several numerical results are provided in the final part of this paper.