Transformation optics for the full dielectric electromagnetic cloak and metal–dielectric planar hyperlens

Full dielectric electromagnetic cloaks are studied in this paper for considering the possibility of achieving effective permeability gradients by taking advantage of a magnetic Mie resonance in high-κ ceramics. Extreme performance sensitivity to the dispersion of the complex effective parameters, which could be problematic for practical realization, is pointed out. In a second stage, we apply transformation optics for achieving magnification and high-resolution focusing in highly anisotropic metal–dielectric flat lenses.