General dual-band coordinate transformation media with full-tensor anisotropic dispersion controls

Abstract

We propose general dual-band coordinate transformation media realizing two arbitrary coordinate transformations at two target frequencies and their universal implementation method by LC-based circuit metamaterials with full-tensor anisotropic dispersion controls. The circuit topologies to fully manipulate the material parameters to be realized are discussed. The general quantitative relations of the equivalent material parameters in two arbitrary coordinate transformations are classified into six cases, and the five fundamental branch unit constituents to cover all the six cases are presented. As an example, a dual-band illusion device with peculiar dispersions mimicking a bump and a pothole at each frequency is designed based on the presented implementation method. The illusion operations of the designed medium for 0 and ${45}^{\ensuremath{\circ}}$ incidences are numerically demonstrated by circuit simulations, and the validities of the proposed concept and the implementation method are confirmed.