Electromagnetic analysis of cylindrical cloaks of an arbitrary cross section.
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.
Nicolet
André
A
Institut Fresnel, UMR CNRS 6133, University of Aix-Marseille, Case 162, F13397 Marseille Cedex 20, France.
Zolla
Frédéric
F
Guenneau
Sébastien
S