Transformation optics design of a planar near field magnifier for sub-diffraction imaging.It is well established that, under certain conditions, imaging systems with either isotropic negative index, or hyperbolic (indefinite) media can achieve super-resolution. 
Transformation optics
In this article, we design, simulate, and evaluate the performance of planar 2D near-field magnifying lenses, based on the transformation-optic design principle. 
the transformation-optic design principle
This computational intensive result was achieved using cylindrical harmonic decomposition and the 2.5D electromagnetic simulation technique. 
cylindrical harmonic decomposition