Dyadic Green’s Function of a Cylindrical Isotropic Metasurface

In this paper, dyadic Green's functions (DGFs) for a point source in the presence of a cylindrical isotropic metasurface with a circular cross-section are presented in closed form. The DGFs are constructed from cylindrical vector wave functions, and scattering coefficients are derived using the method of scattering superposition (SSP). It is assumed that the metasurface is electromagnetically thin. Therefore, the metasurface is suitably modeled using the generalized sheet transition conditions (GSTCs) method. By using the DGFs of this structure, the electric field due to an infinitesimal electric dipole oriented in the direction of cylindrical metasurface in the near- and far-field regions is obtained. Numerical results are compared with the results of a commercial software. The results are in good agreement with each other.