EIGENVECTOR APPROACH FOR SOLVING NONISOTROPIC MIXING FORMULAS

This paper deals with mixtures of nonisotropic media. The mixing formu las to describe the effective material parameters of the mixture are c omplicated expressions where the different parameter dyadics are coupl ed. Using six-vector notation, the different mixing rules become more manageable. However, for certain effective theories the matrix equatio ns have been tractable only through numerical approach. Here we presen t a way to solve the effective material parameters in closed form, usi ng an approach where the eigenvectors of the material six matrix are e xploited. As a numerical example, the effective parameters of a mixtur e are calculated where the inclusion material is a mirror image of the background medium.