Eigenfunction Analysis of Cylindrical Metasurfaces with Complete Tensorial Surface Susceptibilities

A rigorous semi-analytical method to compute the scattered fields off a zero-thickness cylindrical metasurface (MS) is presented, which is described using complete tensorial surface susceptibilities, including both tangential and normal components. Exploiting the angular periodicities of the susceptibilities and the scattered fields in the Generalized Sheet Transition Conditions (GSTC), the scattered fields can be efficiently computed. Two examples of a purely reflective cylinder and a finite-sized arc are shown to demonstrate the proposed method.