Graphene-assisted resonant transmission and enhanced Goos-Hänchen shift in a frustrated total internal reflection configuration

TL;DR

Graphene-assisted resonant transmission and enhanced Goos-Hänchen shift are investigated in a two-prism frustrated total internal reflection configuration and may lead to some potential applications in graphene-based electro-optic devices.

Abstract

Graphene-assisted resonant transmission and enhanced Goos-Hänchen shift are investigated in a two-prism frustrated-total-internal-reflection configuration. Due to the excitation of surface plasmons induced by graphene in low terahertz frequency range, there exist the resonant transmission and anomalous Goos-Hänchen shifts in such optical tunneling configuration. As compared to the case of quantum well, graphene sheet with unique optical properties can enhance the resonant transmission with relatively low loss, and modulate the large negative and positive Goos-Hänchen shifts by adjusting chemical potential or electron relaxation time. These intriguing phenomena may lead to some potential applications in graphene-based electro-optic devices.

Figures (5)

• Figure 1: (Color online) Schematic diagram of GH shift in transmission in FITR configuration by coating graphene sheets, where $\theta_0$ is the central angle of incidence, $a$ is the air gap thickness and shallow parts denote the graphene sheet.
• Figure 2: (Color online) Transmittivity (a) and GH shift (b) versus the incidence angle $\theta_{0}$ in FTIR configuration coating with graphene (solid red) and metal quantum well (dotted-dash green) in the THz frequency region. The ordinary FTIR configuration (dashed blue) is also compared. Parameters: $n$ = 1.605, $n_{0}$ = 1, $a = 2.5\times10^{-4}$ m, $\lambda = 3\times10^{-4}$ m, $d$ = 5 nm, $\mu$ = 0.7 eV, $\sigma = 0.021i$ S/m (graphene), and $\epsilon_{m} = -3.62\times10^{-5} + 2.05\times10^{-5}i$ (bulk silver).
• Figure 3: (Color online) GH shift (a) and transmittivity (b) versus the incidence angle $\theta_0$, where $\mu$ = 0.6 eV (solid red), $\mu$ = 0.5 eV (dot-dashed green) and $\mu$ = 0.4 eV (dotted blue). Other parameters are the same as those in Fig. \ref{['figure.2']}.
• Figure 4: (Color online) GH shift (a) and transmittivity (b) versus the incidence angle $\theta_{0}$ where $\tau = 6\times10^{-12}$ s (solid red), $\tau = 5\times10^{-12}$ s (dot-dashed green) and $\tau = 4\times10^{-12}$ s (dotted blue). The chemical potential $\mu$ = 0.6 eV and other parameters are the same as those in Fig. \ref{['figure.2']}.
• Figure 5: (Color online) Transmittivity (a) and GH shift (b) versus the incidence angle $\theta_{0}$ in FITR configuration coating with graphene (solid red) and metal quantum well (dotted-dash green) in the visible region. The ordinary FTIR configuration (dashed blue) is also compared. Parameters: $a = 4\times10^{-7}$ m, $\lambda$ = 500 nm, $d$ = 25 nm, and $\epsilon_{m} = -2.97\times10^{-10} + 2.52\times10^{-11}i$ (bulk silver). Other parameters are the same as those in Fig. \ref{['figure.2']}.