Finite-Element Analysis of Cylindrical Invisibility Cloaks of Elliptical Cross Section

We present a finite-element analysis of a diffraction problem involving a coated cylinder enabling the electromagnetic cloaking of a finite conducting object with sharp wedges located within its core. The coating consists of a hollow cylinder with a circular cross section made of heterogeneous anisotropic material deduced from a geometric transformation as first proposed by Pendry et al. The shape of the cloak is then generalized to elliptic cross sections. Index Terms—Cloaking, electromagnetic scattering, finite elements, geometric transformation, invisibility. I