Two dimensional irregular polygonal cloaks

Arbitrary two dimensional irregular polygonal cloaks are proposed and designed basing on the coordinate transformation theory. First, the general expressions of constitutive tensors of the 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 polygonal cloak. The results of full-wave simulations validate the general expressions of constitutive tensors of the two dimensional irregular polygonal cloaks we derived, and it is believed that the cloak will be helpful for the shielding of electromagnetic waves.