A method for designing transformation electromagnetics devices using tensorimpedance surfaces (TISs) is presented. The method is first applied toidealized tensor impedance boundary conditions (TIBCs), and later toprinted-circuit tensor impedance surfaces (PCTISs). A PCTIS is a practicalrealization of a TIBC. It consists of a tensor impedance sheet, which models asubwavelength patterned metallic cladding, over a grounded dielectricsubstrate. The method outlined in this paper allows anisotropic TIBCs andPCTISs to be designed that support tangential wave vector distributions andpower flow directions specified by a coordinate transformation. As an example,beamshifting devices are designed, using TIBCs and PCTISs, that allow a surfacewave to be shifted laterally. The designs are verified with a commercialfull-wave electromagnetic solver. This work opens new opportunities for thedesign and implementation of anisotropic and inhomogeneous printed-circuit orgraphene based surfaces that can guide or radiate electromagnetic fields.
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