Goos-Hanchen shift at the interface of nonlinear left-handed metamaterials

The propagation characteristics of the electromagnetic wave incident from a linear conventional medium (RHM) into a nonlinear left-handed medium (LHM) and the Goos-Hdnchen shift of total reflection at the interface are derived in this paper. The dependence of the lateral shift on the incident angle and incident field intensity is analyzed. It is found that the incident field intensity plays an important role in the propagation of the electromagnetic wave. If the incident field intensity is larger than the critical field intensity, total reflection condition is not satisfied and the incident beam penetrates into the nonlinear materials partly. Proposed nonlinear dielectric waveguide is of great value because it can not only regulate the lateral shift but also implement control over the incident field intensity.