▎ 摘　　要

We have theoretically studied the magneto-optical and thermo-optical modulations of Goos-Ha?nchen (GH) effect in a one-dimensional photonic crystal with graphene-vanadium dioxide (VO2) periodic structure. Due to the characteristics of graphene and VO2 in the terahertz region, this structure can be used for magnetic field and temperature modulation. Magneto-Optical effect of graphene in the terahertz region and the first-order metal?insulator transition (MIT) of VO2 near 68 degreesC will have a significant effect on the GH shift modulation. We obtain their relationship between the amplified GH shift with the VO2 temperature under the magnetic field environment, and the relationship between the magnetic field and VO2 is in the insulation (298 K) and the metallic state (358 K), respectively. In the case of a constant magnetic field, the increase of temperature will decrease the GH shift before and after amplification, and the increase of magnetic field will significantly enhance the GH shift, including VO2 in a fully insulated state and a metallic state, respectively. This provides a new idea and method for the design of terahertz equipment which modulates by temperature and magnetic.