Designs for electromagnetic cloaking a three-dimensional arbitrary shaped star-domain

The design of electromagnetic cloaks based on the coordinate transformation requires a suitable geometrical definition of both the internal and the external surfaces of the cloak itself. We describe a straightforward method to design the electromagnetic cloak of a 3d-generic star domain whose surface is defined just by a set of points distributed over it. We also present numerical simulation for the ray tracing of a light beam inside the material calculated for an asymmetric three-dimensional example.