We theoretically investigate the electromagnetic properties of the multilayer graphene-dielectric composite materials based on the effective medium theory. It is found that the structure exhibits hyperbolic isofrequency wavevector disper-sions at THz and far-infrared frequencies, hence thereby realizing the effective graphene-based hyperbolic metamaterials (HMM). The frequncy band of the hyperbolic dispersion can be tuned by changing the Fermi energy of graphene sheet, the thickness of the dielectric layer and the layer number of graphene sheets. Because of the hyperbolic dispersion, graphene-based HMM possesses a negative energy refraction and positive phase refraction for oblique incidence at far below the critical frequency. The highly confined bulk polariton modes are also supported. Based on the attenuated total reflection configuration, the excitation of the bulk polariton mode is studied, in addition, such properties used in the tunable optical reflection modulation are also explored.%基于有效介质理论研究了石墨烯/介质周期结构的电磁性质,研究发现这种复合结构的等频面在太赫兹和远红外波段为双曲线,可用来实现石墨烯基双曲色散特异材料。通过改变石墨烯的费米能级、介质层厚度和单元结构中石墨烯的层数,可很容易地调节双曲色散存在的频段。由于等频面的双曲色散特性,石墨烯基双曲色散特异材料在远低于截止频率的范围内,对斜入射的电磁波具有负的能量折射率和正的相位折射率,并支持局域体等离子体模式。基于衰减全反射结构,研究了体等离子体的激发,探索了体等离子体在可调的光学反射调制器中的应用。
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