Dyadic Hertzian Vector Potential Green's Function for Dipole-Excited Homogenized Metasurface

In this paper, dyadic magnetic vector potential Green's function of an electric dipole exciting a homogenized metasurface composed of a periodic planar array of scatterers is presented. The vector potentials calculated using generalized sheet transition condition (GSTC) on the plane of the metasurface which is replaced by a thin sheet with equivalent surface susceptibility density. Also the scalar electric potential corresponding to the structure is calculated. These potentials can be used in the MPIE formulation in the method of moment (MoM) in an electromagnetic problem.