These years, with the development of material fabrication technology, some new synthetic materials that have unique electromagnetic properties have come out, one of which, the gradient meta-surface constructed into a special topological structure, gains rising popularity among experts. This paper establishes a refractive index gradient meta-surface and discusses its physical mechanism in optics. Normal reflection, anomalous reflection, and transformation from plane wave to medium wave can be realized by using this meta-surface. If the refractive index is larger than some threshold, the sine value of the reflection angle will vary linearly with that of the incidence angle, implying that parallel incident waves will become parallel emergent waves. If refraction index gradient is larger than some threshold, the plane wave at any incidence angle will give out a total reflection inside the medium, in other words, it is bound within the medium. Therefore the control of direction and intensity of beams can be achieved by adjusting parameters, providing a new engineering implementation method of artificial controllable full-medium gradient meta-surface.