Graphene-based one-dimensional photonic crystal
  A novel type of one-dimensional (1D) photonic crystal formed by the array of periodically located stacks of alternating graphene and dielectric stripes embedded into a background dielectric medium is proposed. The wave equation for the electromagnetic wave propagating in such structure solved in the framework of the Kronig-Penney model. The frequency band structure of 1D graphene-based photonic crystal is obtained analytically as a function of the filling factor and the thickness of the dielectric between graphene stripes. The photonic frequency corresponding to the electromagnetic wave localized by the defect of photonic crystal formed by the extra dielectric placed on the place of the stack of alternating graphene and dielectric stripes is obtained. 
Oleg L. Berman and Roman Ya. Kezerashvili
cond-mat.mes-hall cond-mat.mtrl-sci cond-mat.other