Lateral shifts and photon tunneling in a frustrated total internal reflection structure with a negative-zero-positive index metamaterial

Abstract

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.

Large and bistable Goos–Hänchen shifts from the Kretschmann configuration with a nonlinear negative–zero–positive index metamaterial

“…Furthermore, it is indicated that the closer ω is to the DP, the higher the peak of S will be, which confirms that a large GH shift can not only be obtained by adjusting the incident angle and thickness of the metal film, but can also be implemented by the transmission resonances near the DP. Similar results have also been demonstrated in a linear slab structure containing NZPIM [11,15]. Now, we have a look at the novel properties of the large and bistable GH shifts near the DP.…”

“…Subsequently, Wang et al [9] have theoretically found the DP with a double-cone structure for the optical field in the NZPIM and verified that, similarly to electrons in graphene, the light field near the DP possesses the pseudodiffusive property, obeying the 1/L scaling law. Motivated by this, many novel properties of guided modes and photon tunneling near the DP in composite structures containing the NZPIM have been demonstrated [10][11][12][13][14][15]. All these results have revealed that many exotic phenomena 2040-8978/14/045101+06$33.00 in graphene could be simulated by using the relatively simple optical technology.…”

“…Recently, the quantum GH effect in graphene [32,33] has been attracting more attention and the GH shifts have been demonstrated to be strongly dependent on the sublattice degree of freedom in both magnitude and sign. On the other hand, various materials, such as absorbing media [34,35], metallic media [36][37][38], left-handed metamaterials [39], indefinite metamaterials [40], and NZPIMs [11,15], have been introduced into the above configurations. Theoretical results and experimental verifications have shown that large negative and positive GH shifts can be achieved because of the excitation of a surface plasmon [15,39,41,42].…”

“…On the other hand, various materials, such as absorbing media [34,35], metallic media [36][37][38], left-handed metamaterials [39], indefinite metamaterials [40], and NZPIMs [11,15], have been introduced into the above configurations. Theoretical results and experimental verifications have shown that large negative and positive GH shifts can be achieved because of the excitation of a surface plasmon [15,39,41,42]. Meanwhile, research has further been focused on the Kretschmann and Otto configurations [24,25,[37][38][39], where nonlinear surface waves can be excited at the interface of a metal and a Kerr nonlinear medium [43], and the optical bistability has also been studied in detail [37][38][39].…”

Transmission properties in Fibonacci quasi-periodic photonic crystal containing negative-zero-positive index metamaterials

“…The most interesting property of NZPIM is optical DP with a double-cone structure, which was realized for the first time in 2009 [24]. Subsequently, the propagation properties of optics in different structures with NZPIM have been studied, for example, the Zitterbewegung effect [25], thermal emission [26], the transmission and Goos-H änchen shifts [27][28][29], NZPIM waveguide [30][31][32], and nonlinear guide waves [33,34], etc. These results predict that simple NZPIM structures can be created as an alternative to studying exotic phenomena in graphene, where DP with a double-cone structure is formed at which the conduction and valence touch each other [35][36][37].…”