Ricerc@Sapienza

In this article, we study a homogenization model for cloaking applications. In the given model, we consider an isotropic inner layer, which iscoated with a multilayer anisotropic circular cylinder. We describe the electrostatic response of a polarly radially anisotropic (PRA) multilayercircular cylinder. It consists of different components of permittivity in radial and tangential directions for each layer. We have shown themathematical derivation of the polarizability and effective permittivity of a PRA multilayer circular cylinder.

We studied a Spherically Radially Anisotropic (SRA) multilayer sphere with an arbitrary number of layers. Within each layer permittivity components are different from each other in radial and tangential directions. Under the quasi-static approximation, we developed a more generalized mathematical model that can be used to calculate polarizability of the SRA multilayer sphere with any arbitrary number of layers. Moreover, the functionality of the SRA multilayer sphere as a cloak has been investigated.

Cloaking and magnifying using radial anisotropy in non-integer dimensional space