Propagation properties of Gaussian beam through a asymmetric negative index slab system by transfer matrix

Propagation properties of Gaussian beam through a asymmetric negative index slab system are investigated by transfer matrix. Firstly, transfer matrix related to negative index slab is derived; then the electric field distribution of each region in the system is obtained by ABCD law and the beam focusing both inside and outside the negative index slab is researched. On the paraxial approximation, the propagation properties of Gauss beam through a asymmetric negative index slab system are clearly revealed. When the positive index materials on both sides of the slab are the same, our conclusion can be evolved into the conclusion of a special case, the evolution of conclusion is the same as that of a symmetric negative index slab system.