Backscattering Behavior of a Plane Wave Incident on a Partially Graphene-Coated Lüneburg Lens

We consider the plane wave backward and total scattering characteristics of a layered cylindrical Luneburg lens equipped with a conformal strip of graphene, in the Hpolarization case. The strip has an arbitrary location, and its surface impedance is characterized using the quantum-physics Kubo formalism. We develop a mathematically accurate algorithm that utilizes the method of analytical regularization (MAR), based on the explicit inversion of the static part of the problem. This guarantees the convergence of the resulting numerical algorithm. We calculate the backscattering crosssection and total scattering cross-section as a function of frequency and rotation angle.