Two-dimensional inside-out Eaton lens: Design technique and TM-polarized wave properties

In this paper we perform a theoretical and numerical study of two-dimensional inside-out Eaton lenses under transversemagnetic-polarized excitation. We present one example design and test its performance by utilizing full-wave Maxwell solvers. With the help of the WKB approximation, we further investigate the finite-wavelength effect analytically and demonstrate one necessary condition for perfect imaging at the level of wave optics, i.e. imaging with unlimited resolution, by the lens.