2D electron and electromagnetic waves in graphene metamaterials. Graphene solid-state electron optics

The new concept of metatronics is merging with graphene metamaterials. Our approach to “graphene metamaterials” includes “metamaterial treatment” of beams of electrons (BE) (see also electron density lenses) with a wide range of control of wave characteristics; means of influencing the BE characteristics in dielectric-graphene (DG) and carbon nano-tube-graphene-dielectric structures through the electron waves; and, finally, using advantages of effectively controllable BE as such, for creation of “solid-state graphene metamaterial electron optics (GMEO)”. GMEO can involve applications of such elements as “positive-negative phase” waveguides, lenses, diffraction gratings etc. and such electron devices as spin filters, electron collimators, modulators, beam splitters etc.