Backward nonlinear surface Tamm states in left-handed metamaterials

We addressed the existence of the nonlinear electromagnetic surface waves, the so-called Tamm states, that form at an interface separating a nonlinear uniform left-handed metamaterial and a conventional one-dimensional photonic crystal. We found two types of nonlinear surface waves, one with a hump at the interface and the other one with two humps. It was demonstrated that the nonlinear metamaterial can support the both type Tamm states with a backward energy flow and allows for a flexible control of the dispersion properties of surface states. We also, described the intensity-dependent properties of surface Tamm states for a nonlinear self-focusing medium.