▎ 摘　　要

The Goos-Hanchen (GH) shift for the reflection of the elegant Hermite-Gauss beams (EHGBs) impinging on single-layer graphene-coated surfaces is theoretically studied. The factors influencing the GH shift, including the incident angle, the refractive index and the orders m and n of Hmn EHGBs are analyzed, respectively. It is shown that with the increase of the order m, the variations of the GH shift of different EHGBs are greatly enhanced. Thus, the GH shift of the EHGBs can be manipulated by choosing the order m.