Analytical modeling of tensor metasurfaces

In this paper, the sheet impedance tensors of patterned metallic claddings used in metasurfaces are found analytically. In the homogeneous (metamaterial) limit, simple expressions are derived under normal and oblique incidence for the sheet impedances of two separate topologies: skewed and three-branch unit cells. Variations of these geometries are also examined. The analysis allows the tensorial electrical surface properties to be directly related to realizable geometries. The analytical results are compared to those of full-wave simulations, and close agreement is observed. The present work will expedite the design of tensor metasurfaces. (C) 2016 Optical Society of America