LAUSR

Modeling of spherical metasurfaces using generalized sheet transition conditions (GSTCs) and vector wave function (VWF) expansion is presented. The fields internal and external to the metasurface are expanded in terms of spherical VWFs and unknown coefficients. The GSTCs are used to obtain linear relationships between the unknown coefficients. An overdetermined system of equations is then solved by point matching. The method is quasi-analytical, and hence there is no need for meshing, which is encountered in conventional computational electromagnetic methods. This results in the method being extremely fast and hence useful for metasurface optimization. The method is validated by two examples. The formulations presented here can be easily extended to multilayered spherical metasurfaces.