Analysis of uniaxial multilayer cylinders used for invisible cloak realization

Recently, an uniaxial multilayer cylinder cloak which does not scatter electromagnetic wave was proposed. However, the metamaterial realization only reduces the scattered field and is suitable only for excitation by a TM-polarized wave. Furthermore, it works only in a narrow frequency band. The purpose of this paper is to analyze such a cloak and to characterize the achieved "invisibility" in mathematical terms by calculating the scattered field and equivalent blockage width - the structure width that is actually "perceived" by EM waves. Therefore mathematical analysis for TM-excitation is provided and the simulations are performed using the G1DMULT algorithm. The results show that analyzed metamaterial structure is inferior to already known realizations of invisibility, e.g. by hard surfaces that can work for arbitrary polarization.