Radiation of an Antenna on a Planar Metamaterial Coated PEC by Using Reciprocity Theorem

Radiation of a current moment in the presence of an infinite planar material with PEC ground plane is presented in terms of rays by using the reciprocity theorem. The material can be double positive/double negative (DPS/DNG) materials. All the dominant radiation/scattering mechanisms of a current moment are identified and analytically quantified in terms of rays in the edge fixed plane coordinate system. The Fresnel reflection and transmission coefficients are obtained when the source is obliquely incident. Some examples are given, when the source is mounted on or in an infinite planar material with PEC backing.