Comparative focusing of Maxwell and Dirac fields by negative-refraction half-space
P.N. Lebedev Physical Institute, Russian Academy of Sciences - 53 Leninskij Prospekt, Moscow 119991, Russia
2 Laboratoire de Physique des Lasers, UMR 7538 du CNRS, Institut Galilée, Université Paris 13, 99 Avenue J-B. Clément, F-93430 Villetaneuse, France, EU
Accepted: 16 March 2011
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.
PACS: 03.75.-b – Matter waves / 42.25.-p – Wave optics / 72.80.Vp – Electronic transport in graphene
© EPLA, 2011