石墨烯涂层材料平板反射特性理论
Theory of reflectivity properties of graphene-coated material plates
摘要：
在狄拉克模型的框架下，对石墨烯覆盖的介质、金属和半导体平板的反射特性进行了理论描述。石墨烯由极化张量描述，允许解析延拓到实频率轴。板材料由频率依赖的介电常数描述。推导了石墨烯涂层平板的反射系数和反射率的一般公式，以及它们在高频和低频下的渐近表达式。将所开发的理论应用于石墨烯涂覆的电介质（熔融石英）、金属（Au和Ni）和半导体（具有各种载流子浓度的Si）板。在所有这些情况下，在宽频率范围内计算石墨烯涂层对板反射率特性的影响。所得结果可用于利用石墨烯涂层的许多应用中，例如光学探测器、透明导体、抗反射表面等。
英文摘要：
The theoretical description for the reflectivity properties of dielectric, metal and semiconductor plates coated with graphene is developed in the framework of the Dirac model. Graphene is described by the polarization tensor allowing the analytic continuation to the real frequency axis. The plate materials are described by the frequency-dependent dielectric permittivities. The general formulas for the reflection coefficients and reflectivities of the graphene-coated plates, as well as their asymptotic expressions at high and low frequencies, are derived. The developed theory is applied to the graphene-coated dielectric (fused silica), metal (Au and Ni), and semiconductor (Si with various charge carrier concentrations) plates. In all these cases the impact of graphene coating on the plate reflectivity properties is calculated over the wide frequency ranges. The obtained results can be used in many applications exploiting the graphene coatings, such as the optical detectors, transparent conductors, anti-reflection surfaces etc.
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