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

Abstract

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.

Artificial Metaphotonics Born Naturally in Two Dimensions

“…236,237 The behaviors of Dirac points in monolayer graphene can be mimicked with nonlinear negativezero-positive index metamaterials to obtain tunable bandgaps via self-focusing and self-defocusing of nonlinear surface waves 238,239 and large bistable Goos−Hanchen shifts. 240 In 2D TMDs such as MoS 2 , 241,242 MoSe 2 , 243 WSe 2 , 157,244 and WS 2 , 245 inversion symmetry is broken and can support SHG. Their second-harmonic susceptibilities can be as large as approximately nm/V, which is substantially larger than those of traditional nonlinear photonic crystals (PCs).…”

“…Associated third-harmonic phenomena can be easily tuned by applying a gate voltage or varying the input field intensity to change the refractive index of graphene, which creates possibilities for tunable metadevices. For example, nonlinear graphene–dielectric layered metamaterials can be exploited to reshape the light pulse and achieve ultralow-power all-optical active manipulation of metamaterial induced transparency regardless of the polarization, , to demonstrate all-optical switching of optical bistability or multistability and other effects. , The behaviors of Dirac points in monolayer graphene can be mimicked with nonlinear negative-zero-positive index metamaterials to obtain tunable bandgaps via self-focusing and self-defocusing of nonlinear surface waves , and large bistable Goos–Hanchen shifts …”

Influence of surface termination on inverse Goos–Hänchen shift of negatively refractive photonic crystals

“…Most recently, our group [4] experimentally observed the inverse Doppler Effect in negatively refractive PhC (NRPhC) at optical frequency; this study was an important breakthrough in the study of PhC and provided a basis for further exploration of exceptional phenomena in 2D-NRPhC [5]. Another exceptional phenomenon regarding NRPhC is the inverse Goos-Hä nchen effect [6,7] occurring at the interface between normal material (e.g., air) and NRPhC. As is well known, when a bounded wave beam is incident from an optically denser medium to a medium less optical dense at critical angle, the centre of reflected beam undergoes a sizable lateral shift from the position predicted by geometrical optics: This is the Goos-Hä nchen (GH) shift [8].…”

Metamaterials: Myth Or Reality? "Reverse" Refractive Index. Part 3

“…Имеется ряд публикаций [67][68][69][70][71][72][73][74], в которых авторы рассуждают об отрицательном GH-сдвиге. Большинство этих работ -теоретические, т. е. авторы моделируют отрицательный GH-сдвиг в различных средах (поглощающие среды, Me поверхности) и под различными углами падения.…”

“…There are a number of publications [67][68][69][70][71][72][73][74] where the authors argue on negative GH shift. The majority of these works is theoretical, i. e. authors model negative GH shift in different mediums (absorbing mediums, Me surfaces) and under different incidence angles.…”