Synthesis of Tensor Impedance Surfaces to Control Phase and Power Flow of Guided Waves

A synthesis method for printed-circuit tensor impedance surfaces (PCTISs) is presented that allows arbitrary control of phase progression and power flow of guided waves. PCTISs consist of a subwavelength-patterned metallic cladding atop a grounded dielectric substrate. The cladding is modeled by an anisotropic tensor sheet admittance. The synthesis method employs field analysis to determine the required tensor sheet admittance values for a prescribed phase progression and power-flow direction. An inhomogeneous distribution of PCTIS unit cells can be used to design a 2-D metasurface capable of spatial control of surface waves. A collimator is designed to verify the proposed synthesis procedure and demonstrate its utility.