S-CONTINUED FRACTION METHOD FOR THE INVESTIGATION OF A COMPLEX DIELECTRIC-CONSTANT OF 2-COMPONENTS COMPOSITE

The aim of this contribution is to examine the S-continued fraction me thod of obtaining bounds on the effective dielectric constant epsilon( e) of a two-phase composite for the case where the dielectric coeffici ents epsilon(1) and epsilon(2) of both components are either complex o r real. The starting point for our study is a power expansion of epsil on(e)(z) at z = 0, z = epsilon(2)/epsilon(1) - 1. The obtained S-conti nued fraction bounds have an interesting mathematical structure conven ient for theoretical and numerical investigations of epsilon(e). They also agree with the earlier estimations reported by Bergman and Milton . Specific examples of calculation of bounds on epsilon(e) by the S-co ntinued fraction method are also provided.