illusion properties in perfect cylindrical devices

In this paper, illusion properties in a class of perfect cylindrical devices that contain a singular radial mapping have been reported. in these media, illusion can be implemented using alternating structure of only two kinds of metamaterial: zero index metamaterials and perfect electric conductors. full-wave simulations in two dimensions have been performed to verify its functionality and its illusionary effects for tm polarization incident wave. the duality principle can be applied for te polarization.