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Motivated by the realization of the Dirac point (DP) with a double-cone structure for optical field in the negative-zero-positive index metamaterial (NZPIM), the lateral shift and tunneling time of photon tunneling through a frustrated total internal reflection structure containing a NZPIM barrier are investigated by employing Artman's stationary phase method. Near the DP, the lateral shift can vary from positive to negative and the photon tunneling displays a superluminal dynamic. Because of the Hartman effect, both lateral shift and tunneling time tend to a saturation value when the barrier thickness increases. These results may lead to potential applications in integral optics and optical-based devices and also suggest analogous phenomena of valance electron in single-layered carbon graphene.

Motivated by the realization of the Dirac point (DP) with a double-cone structure for the optical field in a negative-zero-positive index metamaterial (NZPIM), we perform a theoretical investigation on the reflected light beam from the Kretschmann configuration containing an NZPIM with Kerr-type nonlinearity. Near the DP and the optimal thickness, it is found that the peak values of the Goos-Hänchen (GH) shifts can vary from negative to positive. The peak value and position are strongly dependent on the incident angle, frequency, and the thickness of the metal film. It is also found that the peak values can be greatly enhanced near the optimal thickness and the DP. We further demonstrate that there exist large and bistable shifts, which are more sensitive to variations of the incident angle and the thickness of the metal film. These results may lead to potential applications in integrated optics and optical-based devices, and also suggest analogous optical phenomena of valence electrons in graphene.

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