The Goos-Hänchen (GH) shift of a Gaussian beam reflected from surfaces coated with a cross-anisotropic metasurface (CM) is theoretically investigated. It is revealed that, the CM coating has influence on the spatial GH shift as well as the angular one, only at the total internal reflection condition, where the incident angle $\theta$ is above critical angle ${\theta }_c$. Moreover, near ${\theta }_c$, a positive or negative larger peak spatial GH shift occurs while a pair of positive and negative peaks angular GH shifts appear, compared to the case of no coating, which are induced by the CM coating. Therefore, our results may provide a feasible method to obtain a larger GH shift, and open new possibilities for applications of the CMs.

理论上研究了高斯光束从涂有各向异性各向异性超表面（CM）的表面反射的Goos-Hänchen（GH）位移。结果表明，CM涂层仅在全内反射条件下，即入射角对空间GH位移和角度GH位移有影响。$\theta$ 超过临界角 ${\theta }_C$。而且，附近${\theta }_C$与没有涂层的情况相比，由CM涂层引起的正或负更大的峰空间GH位移出现，同时出现一对正和负峰角GH位移。因此，我们的结果可能为获得更大的GH位移提供一种可行的方法，并为CM的应用开辟了新的可能性。