Cylindrically-symmetric collimated beam shaping using non-imaging metasurfaces

Non-imaging freeform lenses are a convenient tool for intensity and beam shaping processes due to their highly customizable designs and high efficiency. The surface curvature of these lenses are designed to ensure optimal transport of energy from the light source to a target plane, and require increasingly precise fabrication to attain the desired efficiency in complicated beam shaping cases. Metasurfaces have the ability to impart any phase profile, thus mimicking any surface curvature, without additional fabrication challenges. Here we present a theoretical framework based on the optimal transport formulation from non-imaging optics, for calculating the two dimensional phase profile of a metasurface for applications with normally incident light and cylindrical symmetry.