A CLASS OF POLARIZATION-INVARIANT DIREC- TIONAL CLOAKS BY CONCATENATION VIA TRANS- FORMATION OPTICS

Abstract—This article is devoted to the construction and investi-gation of a class of polarization-invariant directional cloaks by con-catenation of cloaking medium components via transformation optics. It improves the construction of the first polarization-invariant direc-tional cloak, introduced by Agarwal et al. [1]. The main ingredient is to construct a capsuloid transformed metamaterial consisting of an lp-cylindrical transformation map and two half lp-spherical transfor-mation maps. Numerical investigation is carried out to test the per-formances of the cloaks under different polarized incoming waves. A salient feature of our cloaks is compact-sizedness, namely the geometri-cal size is no longer dependent on the regularization parameter ρ under the non-uniform map. In particular, we study the cloaking effect with respect to the regularization parameter ρ and the incident direction. 1