Optical lenses are pervasive in various areas of sciences and technologies. It is well-known that the resolving power of a lens and thus optical systems is limited by the diffraction of light. Recently, various plasmonics and metamaterials based supe
rlenses have been emerging to achieve super resolution. Here, we show that the phase compensated negative refraction lenses perform as Janus Lenses, i.e. either converging lenses or diverging lenses depending on the illumination directions. Extraordinary imaging equations and properties that are different from those of all the existing optical lenses are also presented. These new imaging properties, along with the super resolving power, significantly expand the horizon of imaging optics and optical system design.
