Three dimensional axiolitic cloak based on coordinate transformation

Arbitrary three dimensional axiolitic cloaks are proposed and designed based on the coordinate transformation theory. First, the general expressions of constitutive tensors of the three dimensional axiolitic cloaks are derived, then there are some full-wave simulations of the cloaks that are composed of inhomogeneous and anisotropic metamaterials, which will bend incoming electromagnetic waves and guide them to propagate around inner region, such electromagnetic waves will return to their original propagation directions without distorting the waves outside the axiolitic cloak. The results of full-wave simulations validate the general expressions of constitutive tensors of the three dimensional axiolitic cloaks we derived.