The Effects of Anisotropy in a Three-Dimensional Array of Conducting Disks

This microwave delay lens medium is shown to have both magnetic and electric anisotropy, which necessitates an analysis describing its refractive properties for obliquely incident waves. A simple linear transformation is applied to the field equations such that the transformed system is magnetically isotropic, Classical solutions from studies in optics provide the ray velocity surfaces in that system. An inverse transformation yields the ray velocity surfaces in the original medium. Huyghens construction is employed, for two particular arrays, to determine the refracted wave direction after oblique incidence.