A General Susceptibility‐Based Approach for Uniform Metasurface Scattering

Abstract

The general approach in metasurface design is to find the unit‐cell properties required to achieve a given functionality. This is usually done by modeling the metasurface as a combination of surface electric and magnetic polarization densities, whose parameters are determined by solving the generalized sheet transition conditions. This is a time‐consuming task, as the so‐called boundary conditions needs to be solved on a case‐by‐case basis, depending on the source polarization, angle of incidence, and intended functionality. Evermore, the task complexity increases as factors such as different media around the metasurface and more than one illumination scenario are taken into account. In this work, a general solution is provided for a uniform metasurface homogenized in terms of susceptibilities. With this model, it is possible to obtain analytical expressions for the specular scattering produced by a metasurface illuminated with arbitrary polarization and angle of incidence. It is expected that the proposed model can ease the analysis and design of metasurfaces, by providing straight‐forward expressions which can be simplified by exploiting unit‐cell geometric symmetries.