Generalized Richmond-Mie Theory for the Scattering of Metallic and Dielectric Cylinders Wrapped by Surface Impedance Multilayers

A generalization of the recursive method developed in 1965 by Richmond for dielectric cylindrical multilayer structures is proposed in this paper.Inspired by the mantle cloaking technique, developed in 2009, we extend the Richmond formulation to include multiple boundary conditions with impedance metasurfaces.This method is computationally very efficient and it allows reduced time cost optimizations.All the results presented in the paper have been numerically validated through independent full-wave simulations.