Graphene-coated resonators with frequency-selective super-scattering and super-cloaking

Comb-like behavior of the multilayered graphene wrapped nanotubes in multiple scattering channels is investigated and utilized to design a structure for simultaneous super-scattering and super-cloaking. The underlying physics of the proposed structure is studied quantitatively by geometric interpretation through the associated planar structure based on the Bohr model and Foster's theorem. We observed that due to the presence of multiple dispersion bands in the planar counterpart, each cylindrical scattering Mie coefficient fulfills the resonance and invisibility conditions multiple times, depending on the selected number of layers. By refining the material and geometric parameters for the specified number of layers, resonances and zeros of the first two scattering terms are coincided simultaneously to observe super-scattering and super-cloaking, respectively. The proposed structure has lots of degrees of freedom to control the response in the operating frequency.