Homogenizing a broadband diamagnetic metamaterial with low intrinsic impedance

In this work, it is proposed a new frequency independent anisotropic metamaterial which consists of an array of separated conductor thin plane slabs inserted in a vacuum medium. Then, by means of an analysis based on the transmission line theory, it was obtained a model which homogenizes such metamaterial and explains the effect of filling the volume contained between two plane laminates that perform a TEM transmission line with such metamaterial. As a result, such metamaterial showed a minor intrinsic impedance than the vaccum one, a velocity of propagation equal to the vacuum one and besides it presented a diamagentic behavior. Unlike most of metamaterials reported in the references, the main parameters of the proposed metamaterial resulted to be frequency independent. A good agreement was found between results which were obtained from the proposed model and from the FDTD (Finite Diference Time Domain) simulation.