Title: Perfect imaging without negative refraction Authors: Ulf Leonhardt
Perfect imaging has been believed to rely on negative refraction, but here we show that an ordinary positively refracting optical medium may form perfect images as well. In particular, we establish a mathematical proof that Maxwell's fish eye in two-dimensional (2D) integrated optics makes a perfect instrument with a resolution not limited by the wavelength of light. We also show how to modify the fish eye such that perfect imaging devices can be made in practice. Our method of perfect focusing may also find applications outside of optics, in acoustics, fluid mechanics or quantum physics, wherever waves obey the 2D Helmholtz equation.
"It is the waviness of light that limits the resolution of lenses. Apparently, nobody had tried to calculate the imaging of light waves in Maxwell's fish-eye. The new research proves that the fish-eye has unlimited resolution in principle, and, as it does not need negative refraction, it may also work in practice. The theory was inspired by ideas for invisibility where light is bent around objects to make them disappear from view. Here the ideas behind invisibility are applied for perfect imaging" - Professor Ulf Leonhardt.