Horizontal electric dipole above a metamaterial half-space: analytical solution and numerical simulation

Only the complete diffraction picture in contrast to [1,2] provides access to the correct description of all relevant effects of loss in media, distance from the boarder etc. Though the theory has been developed for a simple model of a point electric dipole, due to its general character, it may also provide a qualitative insight into the peculiarities of other types of emitters over the boundary between ordinary medium and metamaterial [6]. We do not need to use the concept of negative refraction - the refractive index is pointless in such a problem because simple geometric optical models, based on Snell´s law, are no longer appropriate.