Invisibility of a metamaterial cloak illuminated by spherical electromagnetic wave

In this paper, the invisibility of a metamaterial cloak illuminated by spherical electromagnetic wave is analytically investigated based on the full wave Mie scattering model. It is shown that for a cloak with ideal parameters the scattered field intensity is zero, but for a cloak with a loss, only the backscattering is exactly zero. Moreover, in the loss case, the scattered field intensity increases as the loss increases, which is very different from that in the conventional stealth case, where the scattered field intensity decreases as the loss of coated material increases. In addition, it is shown that scattering cross-section of the cloak with perturbed parameters decreases as the thickness of the cloak decreases, which means that thinner cloak can exhibit more stable invisibility.