Scattered Field Solutions of Uniform Metasurfaces using Plane-Wave Decomposition Method for Arbitrary Incident Waves

A semi-analytical method of calculating scattered fields from a uniform metasurface for an arbitrary monochromatic incident field is presented and confirmed with numerical simulations. A known incident field is first decomposed using a Fourier transform into a set of plane waves, and Generalized Sheet Transition Conditions (GTSCs) are next applied to each plane wave component to accurately determine the total scattering fields in the transmission and reflection regions. The proposed semi-analytical method represents a simple benchmarking tool to validate various numerical methods for analyzing metasurfaces.