EFFECTIVE DIELECTRIC-CONSTANT OF ARRAYS OF ELLIPTIC CYLINDERS

We apply the Rayleigh method to derive a formulation yielding the effe ctive dielectric tensor of a periodic composite consisting of an array of elliptical cylinders placed in a matrix of unit dielectric constan t. We consider two types of composites having this structure: dilute n oncritical and dilute critical. For dilute noncritical composites we c omment on our result in relation to the competing forms of the Maxwell -Garnett formula, which have been proposed previously.