Homogenization of tensor TL metamaterials

We present a method for homogenizing tensor transmission-line (TL) metamaterials. These are metamaterials consisting of loaded transmission-line networks, that can possess magnetically anisotropic (tensor) effective material parameters. The homogenization employs a local field averaging procedure to compute the effective material parameters. These effective material parameters can be dispersive or non-dispersive. For the tensor metamaterials possessing dispersive effective material parameters, the homogenization method takes advantage of the circuit topology of tensor transmission-line metamaterials to predict material parameters over a frequency range.

► A method for homogenizing tensor transmission-line metamaterials is presented. ► The method employs field averaging to find the effective material parameters of such metamaterials. ► The material parameters can be either dispersive or non-dispersive. The circuit topology of dispersive tensor transmission-line metamaterials is used to predict their frequency dispersion. ► Simulation results verifying the outlined homogenization procedure are reported.