Electromagnetic scattering by a metamaterial hemispherical boss on an infinite ground plane

An analytic solution is presented to the problem of scattering of a plane electromagnetic wave from a metamaterial hemispherical boss on an infinite ground plane. The formulation is based on an image technique, where the original problem is replaced by that of scattering of two plane waves by the corresponding sphere in the absence of the infinite plane. The solution is obtained by expanding all the fields associated with the problem using vector spherical wave functions and imposing the relevant boundary conditions. Numerical results are presented as normalized backscattering cross sections for hemispherical bosses of different types, for transverse electric polarization of the incident wave.