▎ 摘　　要

The band structures of the one-dimensional Thue-Morse quasi-periodic graphene photonic crystal is studied with transfer matrix method. A new type of omnidirectional gaps named graphene induced photonic band gap (GIBPG) is found. In contrast to the Bragg gaps, GIBPG is insensitive to the polarization and the incident angles, and is invariant on the change of the ratio of the thicknesses of two media. An advantage of the suggested structure is that the graphene conductivity could be tuned by varying the chemical potential of the graphene sheets via a gate voltage, which may provide a flexible method to tune omnidirectional gaps. It is found that GIBPG exists in all the Thue-Morse squence, and it is rather stable and independence of the structure sequence.