It is shown that the surface wave can be produced for bothpolarizations for the present negative refractive index material using the rigorous electromagnetic wave theory, The wave number of the surface wave propagating on the interface between the negative refractive index material and positive refractive index material and its excitation condition are concluded. For electromagnetic plane wave propagating in nonlinear left-handed material, the properties of nonlinear TE surface waves localized at the interface of a left-handed material (an int...