Tamm States of a Nonlinear Slab Sandwiched Between a Uniform Medium and a One-Dimensional Photonic Crystal

Abstract

Abstract-In this paper, the surface states (so called Tamm states) of a nonlinear self-focusing slab sandwiched between a uniform medium and a one-dimensional photonic crystal is investigated based on the first integral of the nonlinear Helmholtz wave equation. The considered slab can be a left-handed or a conventional material. It is shown that the structure can support the Tamm states with two different transverse electric structures. In one structure, the surface waves have one hump, and in the other one they have two humps at the surface of photonic crystal. We show that in the case of the self-focusing lefthanded metamaterial slab, there is a possibility to change the direction of the total energy flow of the surface waves by adjusting the intensity of exciting electromagnetic field.