Eigenvector Approach for Solving Bi-Anisotropic Mixing Formulas

摘要

This paper deals with mixtures of bi-anisotropic media. The mixing formulas todescribe the effective material parameters of the mixture are complicated expressions where the different parameter dyadics are coupled. Using six-vector notation, the different mixing rules become more manageable. However, for certain effective theories, the matrix equations have been tractable only through numerical approach. Here the authors present a way to solve the effective material parameters in closed form, using an approach where the eigenvectors of the material six-matrix are exploited. As a numerical example, the effective parameters of a mixture are calculated where the inclusion material is a mirror image of the background medium.