The Highest and Lowest Photonic Bandwidths, Absorption Coefficients and Field Localizations among Common 1D Quasiperiodic Structures Containing Graphene and Silicon Dioxide

By employing the transfer matrix method, we report the terahertz spectral properties of graphene induced photonic band gap in four types of common one-dimensional quasiperiodic structures based on double-period, Fibonacci, Thue-Morse and Cantor sequences with approximately the same number of layers. In this paper, a graphene monolayer is sandwiched between two adjacent dielectric slabs. It is found that due to the presence of graphene in each structure, an additional gap (GPBG) is emerged. The upper band edge of GPBG moves to the higher frequencies and gets enlarged, as the chemical potential and incident angle increase. The biggest and the smallest bandwidths belong to the Cantor and double-period sequences. Also, the height of the absorption peak at the GPBG edge goes up as the temperature, graphene thickness and damping factor increase. Moreover, the highest and lowest field localizations exist in the Cantor and Fibonacci structures, respectively. Some other features are presented in the results section.