The system according to the present invention is used to create an ablation such that the surface of the cornea comprises a central region having a convex central steepening with a first radius of curvature and a surrounding region having a convex shape with a second radius of curvature, wherein the first radius of curvature is smaller than the second radius of curvature for performing a presbyopic correction. The ablation depth in the central region varies between a minimum ablation depth in the center and a maximum ablation depth at the border of the central region. The ablation depth in the surrounding region is the same as the maximum ablation depth at the border of the central region.