Improved Analysis and Simulation of a Time-Domain Carpet Cloak Model

In this paper, we first give a quick review of the current status of the invisibility cloak with meta-materials. Then we focus on the carpet cloak model and establish an elegant stability different from our previous work. A similar discrete stability is also proved for a new FETD scheme. Then we prove the optimal convergence for this new scheme. Finally, we implement a new discontinuous Galerkin method and demonstrate its effectiveness in simulating the carpet cloaking phenomena.