title: Electromagnetic analysis of cylindrical cloaks of an arbitrary cross section.
abstract: We extend the design of radially symmetric invisibility cloaks through transformation optics as proposed by Pendry et al. [Science 312, 1780 (2006)] to coated cylinders of an arbitrary cross section. The validity of our Fourier-based approach is confirmed by both analytical and numerical results for a cloak displaying a non-convex cross section of varying thickness. In the former case, we evaluate the Green's function of a line source in the transformed coordinates. In the latter case, we implement a full-wave finite-element model for a cylindrical antenna radiating a p-polarized electric field in the presence of a F-shaped lossy object surrounded by the cloak.
authors.affiliation: Institut Fresnel, UMR CNRS 6133, University of Aix-Marseille, Case 162, F13397 Marseille Cedex 20, France.
authors.forename: André
authors.initials: A
authors.lastname: Nicolet
authors.forename: Frédéric
authors.initials: F
authors.lastname: Zolla
authors.forename: Sébastien
authors.initials: S
authors.lastname: Guenneau