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 nonconvex 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.
© 2008 Optical Society of America
Original Manuscript: April 22, 2008
Manuscript Accepted: May 26, 2008
Published: July 11, 2008
André Nicolet, Frédéric Zolla, and Sébastien Guenneau, "Electromagnetic analysis of cylindrical cloaks of an arbitrary cross section," Opt. Lett. 33, 1584-1586 (2008)