Dispersion analysis of a fishnet metamaterial based on the rotated TLM method

A novel three-dimensional LC-based metamaterial topology to model traditional fishnet structure is proposed. Rotated Transmission-Line Matrix (RTLM) unit as one independent half cell from the typical Transmission-Line Matrix (TLM) unit with each incident polarization rotated by 45°, is supposed to save the computation time and decrease the processing data when a structure is analyzed, especially when some specific components of the structure are dealt with. Here a RTLM unit is used to construct a lumped fishnet structure circuit model. The dispersion relation and Bloch impedance are given and compared with the simulation to validate the feasibility of our proposed circuit model.