Scattering by a left-handed particle on a left-handed slab or surface

A small left-handed particle situated upon a slab of arbitrary electromagnetic parameter values is modelled as a superposition of electric and magnetic dipoles. The full-wave solution to the radiation problem is obtained for each of these dipoles and the far-field asymptotic forms are used to calculate the far-field scattering characteristics of the particle upon the slab. Novel scattering properties are observed in both the right- and left-handed cases, with the scattering patterns displaying enhanced transmission along with hitherto unobserved structure and directionality, offering a potential wealth of applications. The effect of the slab being left-handed is to cause a reversal in the scattering pattern below a semi-infinite slab, but to leave that of a finite slab unchanged. This reversal occurs about the plane perpendicular to both the plane of incidence and the interface.