Analysis of Curved Metasurfaces with Spatially-Varying Impedance Distribution

Metasurfaces have garnered significant attention in recent years as devices that direct waves, manipulate the polarization of transmitted or reflected waves, or influence spectral properties of those waves. Until now, most of the attention was focused on the development of planar metasurface structures. However, many demanding electromagnetic applications require the implementation of curved structures. In this paper, we propose an analysis approach for curved metasurfaces that are not homogeneous, i.e. metasurfaces that have spatially-varying distribution of surface sheet impedance. The considered formulation also covers metasurfaces that do not encompass the entire canonical curved surface. The results are verified against several experimentally characterized cylindrical metasurface examples.