  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 is expanded in terms of
spherical VWFs and unknown coefficients. GSTCs are used to obtain linear
relationships between the unknown coefficients. An overdetermined system of
equations are 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.
