Lossless Scalar Metasurfaces for Anomalous Reflection Based on Efficient Surface Field Optimization

For polarization-preserving anomalous plane-wave reflections by impenetrable surfaces, an efficient numerical field optimization technique is presented for designing lossless metasurfaces. Auxiliary surface waves copolarized with the incident and reflected plane waves are introduced and optimized such that the scalar surface impedance characterizing the reflecting surface approach a purely reactive profile. The resulting inhomogeneous scalar reactance can be discretized for realization as a periodic metasurface. Full-wave simulation of a physical design that is directly translated from the optimized reactance profile shows near-perfect anomalous reflection.