METHOD OF MOMENTS EVALUATION OF THE 2-DIMENSIONAL QUASI-CRYSTALLINE APPROXIMATION

The purpose of this paper is to characterize the accuracy of the quasi -crystalline approximation and other associated methods of determining effective permittivity for two-dimensional (2-D) random media. A nume rical method based on the method of moments is used as a gauge for com parison with the theoretical methods, After deriving the 2-D quasi-cry stalline approximation and presenting the numerical method, the behavi or of the effective permittivity is analyzed for a range of particle s izes, volume fractions and dielectric losses. From this analysis, regi ons of validity for the theoretical methods are determined, An investi gation is also given which explores the effect of particle arrangement methods on the pair distribution function which, in turn, is shown to have a significant effect on the imaginary component of the effective permittivity.