Electromagnetic Wave Interactions with a Metamaterial Cloak

Abstract

We establish analytically the interactions of electromagnetic wave with a general class of spherical cloaks based on a full wave Mie scattering model. We show that for an ideal cloak the total scattering cross section is absolutely zero, but for a cloak with a specific type of loss, only the backscattering is exactly zero, which indicates the cloak can still be rendered invisible with a monostatic (transmitter and receiver in the same location) detection. Furthermore, we show that for a cloak with imperfect parameters the bistatic (transmitter and receiver in different locations) scattering performance is more sensitive to ${\eta }_t=\sqrt{{\mu }_t/{ϵ}_t}$ than $n_t=\sqrt{{\mu }_t{ϵ}_t}$.