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.