title: Graphene-based one-dimensional  photonic crystal.
abstract: A novel type of one-dimensional (1D) photonic crystal formed by an 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 a structure is solved in the framework of the Kronig-Penney model. The frequency band structure of the 1D graphene-based photonic crystal is obtained analytically as a function of the filling factor and the thickness of the dielectric between the graphene stripes. The photonic frequency corresponding to the electromagnetic wave localized by a defect of the photonic crystal formed by an extra dielectric placed in the position of one stack of alternating graphene and dielectric stripes is obtained.
authors.affiliation: Physics Department, New York City College of Technology, The City University of New York, Brooklyn, NY 11201, USA.
authors.forename: Oleg L
authors.initials: OL
authors.lastname: Berman
authors.forename: Roman Ya
authors.initials: RY
authors.lastname: Kezerashvili