Cloaking of dielectric and metallic elliptical cylinders with a nanostructured graphene metasurface

In this paper, we present a graphene-based mantle cloak structure for both dielectric and conducting elliptical cylinders. The mantle cloak design is realized by means of a patterned metasurface formed by periodic sub-wavelength graphene nanopatches. Although the scattering behavior of an ellipse is dependent on the angle of incidence, it is shown that the cloak design is robust for any incident angle. The scattering behavior of the cloaked objects is analyzed by expressing the incident and scattered fields in terms of radial and angular Mathieu functions.