Abstract Enhancing and engineering the Goos–Hanchen (GH) shift of two dimensional layered materials provides a powerful way to realize the novel optoelectric devices. Here we report an enhanced and controlled GH shift in the hybrid structure consisting of monolayer graphene and multilayer photonic crystals grating structure by using the rigorous coupled-wave analysis and stationary phase method, whose value can reach up to more than two thousand times of incident wavelength. Such an enhanced GH shift can be ascribed to the excitation of the guide mode resonances in the multilayer photonic crystal grating structure. In addition, the various geometrical parameters of the hybrid structure allow for the control of the GH shift in monolayer graphene based multilayer photonic crystal grating structure. Our work highlights the possibility of improving the performance of the GH shift of monolayer graphene by well designing the structures, which is essential for the optoelectronic sensors and dectors.

中文翻译：

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单层石墨烯覆盖的多层光子晶体光栅中的大且受控的 Goos-Hänchen 位移

摘要 增强和设计二维层状材料的 Goos-Hanchen (GH) 位移为实现新型光电器件提供了一种强有力的方法。在这里，我们通过使用严格的耦合波分析和固定相方法报告了由单层石墨烯和多层光子晶体光栅结构组成的混合结构中增强和受控的 GH 位移，其值可以达到入射波长的两千多倍. 这种增强的GH位移可归因于多层光子晶体光栅结构中导模共振的激发。此外，混合结构的各种几何参数允许控制基于单层石墨烯的多层光子晶体光栅结构中的 GH 位移。