FDTD Study of Half Cloak in Bipolar Cylindrical Shape With Compressed Geometry and Complementary Media

Full-wave finite-difference time-domain (FDTD) analysis of an invisibility cloak with the cloaking shell, not necessarily enclosing the cloaking region completely, is presented for bipolar cylindrical geometry. The permittivity and the permeability tensors for the cloaking shell are obtained from an effective medium approach in general relativity. The cloak contains the complementary region adjacent to the cloaking shell. The role of the complementary medium is to cancel the phase vectors of the illuminated electromagnetic waves across the boundaries of the line segment. By intelligent design of a cloaking shell and a complementary medium, it is shown that the same cloaking performance as the conventional cloak can be achieved by using only the half of the cloaking shell required for the conventional invisibility cloak.