Electromagnetic Absorption Property In Quasi Periodically Patterned Graphene Metasuface

Graphene is a two-dimensional (2D) carbon material with tremendous applications,its superior properties in visible and taraherze frequency band attracted a great deal of research interest, and yielded abundant accomplishment. One important aspect of research in graphene-based plasmonic metasurface is the absorption. In this paper, we adopt a recently developed method of Rigorous Coupled-Wave Analysis (RCWA) to research the electromagnetic (EM) absorption properties of 1D and 2D quasi-periodically patterned graphene metasurfaces, in which higher-dimensional symmetry is used.Both 1D Fibonacci sequence and 2D Penrose Tiling quasi crystalline structures can be constructed by exploiting the cut-and-projection method, hence their spectra bear obvious symmetry. This character of quasicrystalline structure make RCWA an efficient method due to its inherited priority of solving Maxwell’s equations and wave-matter interactions in Fourier space. By using higher dimensional Floquet’s theorem, RCWA is highly efficient and reliable.The simulation results of 1D quasi-periodic graphene nano-ribbon arrayed metasur-face show that compared with its periodic counterpart, the structure has more absorption peaks in the same frequency band. The position and intensity of absorption peaks are closely connected with the Localized Surface Plasmonic Resonance (LSPR). The incident-angle dependence of the structure’s absorption is weak, and the frequency where peak absorption is can be tuned by changing the chemical potential of graphene.Results of 2D quasi-periodic graphene nano-disk arrayed metasurface show that the absorption is also connected with LSPR generated. At different peak absorption frequen-cies, the distribution of LSPR present five-fold and ten-fold symmetries. The incident-angle dependence of the structure’s absorption is also weak, which makes it a candidate for wide angle absorber.