Goos-Hänchen shift at interface of nonlinear left/right-handed media

Based on the tangential boundary conditions, the propagation characteristics of the electromagnetic wave incident from a linear conventional medium (RHM) into a nonlinear left-handed medium (LHM) are derived in detail. The nonlinear Goos-Hänchen shift of total reflection at the interface of nonlinear left-handed medium is obtained using the phase-change approach. 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 lower than critical field intensity, the lateral shift can be regulated through the change of the incident field intensity, else if the incident field intensity is larger than critical field intensity, total reflection condition is not satisfied and the incident beam penetrates into the nonlinear materials partly. The proposed nonlinear dielectric waveguide can not only regulate the lateral shift but also control the incident field intensity.