  Based on the non-Euclidean transformation optics, we design a thin
metamaterial lens that can achieve wide-beam radiation by embedding a simple
source (a point source in three-dimensional case or a line current source in
two-dimensional case). The scheme is performed on a layer-by-layer geometry to
convert curved surfaces in virtual space to flat sheets, which pile up and form
the entire lens in physical space. Compared to previous designs, the lens has
no extreme material parameters. Simulation results confirm its functionality.
