Abstract
We derive exact analytical solutions for the focusing of Maxwell photons and massless Dirac particles by half-space with negative refraction. These novel paradoxical solutions show that half-space with negative refraction cannot be simply considered as a superlens. Instead of a 2D focus spot it results in the creation of a sink of complicated spatial structure. Our analytical solutions also show substantial differences in the focusing of Maxwell and Dirac field within this geometry. We find a new manifestation of the Klein paradox which is the creation of sinks in the negative-refraction area. Possible applications and generalizations of our approach are discussed.