Inverse Scattering Homogenization method for conformal metamaterial structures

The composite nature of metamaterial structures, made up of metallic and dielectric parts, repeated and modulated in a certain order in the space, increases the numerical complexity of electromagnetic analysis: homogenizing such structures with a continuous dielectric model that achieves the same global electromagnetic response could be challenging, but it could give more information about the physical mechanism of wave propagation through it. The idea developed in this paper is to associate an equivalent permittivity to a novel metamaterial architecture (i.e. the microstrip-line-based metamaterial), solving an Inverse Scattering Problem (ISP). The expected global electromagnetic response involves the cloaking effect, artificially created by the radiation of surface waves propagating around the periodic structure. In the proposed Inverse Scattering Homogenization method (ISHM), the equivalent permittivity results exhibit values between zero and one, further tested in a Forward Scattering Problem (FSP), in order to establish a one-to-one correspondance between heterogeneous (physical) and homogeneous (mathematical) model.