Optical properties of a defective one-dimensional photonic crystal containing graphene nanaolayers

The transmission properties of a defective one-dimensional photonic crystal containing graphene nanolayers have been investigated using the transfer matrix method. It is shown that two kinds of the defect modes can be found in the band gaps of the structure. One kind is the traditional defect mode which is created in the Bragg gaps of the structure and is due to the breaking of the periodicity of the dielectric lattice. The other one is created in the graphene induced band gap. Such a defect mode which we call it the graphene induced defect mode is due to the breaking of the periodicity of the graphene lattice. However, our investigations reveal that only in the case of wide defect layers one can obtain the graphene induced defect modes. The effects of many parameters such as the incident angle, the state of polarization and the chemical potential of the graphene nanolayers on the properties of the graphene induced defect modes are discussed. Moreover, the possibility of external control of the graphene induced defect modes using a gate voltage is shown.