  A method for designing transformation electromagnetics devices using tensor
impedance surfaces (TISs) is presented. The method is first applied to
idealized tensor impedance boundary conditions (TIBCs), and later to
printed-circuit tensor impedance surfaces (PCTISs). A PCTIS is a practical
realization of a TIBC. It consists of a tensor impedance sheet, which models a
subwavelength patterned metallic cladding, over a grounded dielectric
substrate. The method outlined in this paper allows anisotropic TIBCs and
PCTISs to be designed that support tangential wave vector distributions and
power flow directions specified by a coordinate transformation. As an example,
beamshifting devices are designed, using TIBCs and PCTISs, that allow a surface
wave to be shifted laterally. The designs are verified with a commercial
full-wave electromagnetic solver. This work opens new opportunities for the
design and implementation of anisotropic and inhomogeneous printed-circuit or
graphene based surfaces that can guide or radiate electromagnetic fields.
