Synthesis of passive lossless metasurfaces for perfect anomalous reflection

In this paper, practical implementation of metasurfaces providing perfect anomalous reflection (i.e. reflection to a non specular direction with no higher order modes excited) is discussed with reference to metasurfaces consisting of a metallic cladding over a grounded dielectric slab. The metallic cladding is modeled through a continuous penetrable impedance sheet, while the grounded slab is accounted for through the Green's function. It is shown that an exact solution without polarization transformation only exists for the case of retroreflection, while a solution with polarization conversion can be found for arbitrary incidence and reflection angles. The derived solutions are implemented through a distribution of patches and full wave simulations are performed to confirm their effectiveness.