Photonic Hall effect for a 1D-dimensional graphene-based photonic crystal with two defects

The presence of two defect layers in a one-dimensional photonic crystal which could be described numerically by the transfer matrix model becomes important when two defects modes might be controlled by the number of the middle layers. In this work, we compute the transmission spectra of a 1D photonic crystal with two graphene-based defect layers in the presence of an applied constant magnetic field. It is observed that an additional defect mode shows up at the lower edge of the photonic bandgap of the optical structure which could to be tuned by the Fermi energy, the intensity of the magnetic field and also the number of the layers between the defects. In addition, we investigated the effect of decreasing the number of middle layers on the transmission spectra of the photonic device. •We proved the existence of two defect modes with different properties.•We demonstrate that left and right handed defect modes exhibit a step-like transmission map.•We show that the middle layers between two defects affect the lower-edge defect modes.