Abstract. Numerical simulations based on solving the Maxwell equations provide a robust and efficient approach to obtaining optical properties of plasmonic metal nanoparticles (NPs), but they have high computational costs when considering the real conditions of incorporated NPs such as random distribution and nonuniform size. Therefore, an effective medium theory, taking into account light scattering on the surface of NPs and light concentration by localized surface plasmon resonance, has been employed to obtain optical properties of randomly embedded spherical NPs with nonuniform radii into GaAs. The results are input into an optoelectrical model of graphene/GaAs Schottky barrier solar cells (SCs), calibrated by the experimental data, to compare the performance of plasmonic graphene/GaAs SCs with the incorporation of different metal NPs of Au, Ag, Al, and Cu. Furthermore, the effects of the number of graphene layers, the radius of NPs, and the amount of size dispersion on the photovoltaic parameters of plasmonic graphene/GaAs SCs have been investigated. It is demonstrated that increasing the radius and size dispersion of NPs, by inducing an inhomogeneous broadening and an increase of plasmon band amplitude, enhances the efficiency of plasmonic graphene/GaAs SCs.

中文翻译：

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具有非均匀尺寸纳米颗粒随机分布的等离子体石墨烯/砷化镓太阳能电池的分析建模

摘要。基于求解麦克斯韦方程的数值模拟为获得等离子体金属纳米粒子 (NPs) 的光学特性提供了一种稳健而有效的方法，但在考虑纳入 NPs 的真实条件（如随机分布和非均匀尺寸）时，它们具有很高的计算成本。因此，考虑到 NPs 表面的光散射和局域表面等离子体共振引起的光集中，一种有效介质理论已被用于获得具有不均匀半径的随机嵌入 GaAs 的球形 NPs 的光学特性。结果被输入到石墨烯/GaAs 肖特基势垒太阳能电池 (SCs) 的光电模型中，由实验数据校准，以比较等离子体石墨烯/GaAs SCs 的性能与不同金属 NP 的 Au、Ag、铝和铜。此外，还研究了石墨烯层数、纳米颗粒的半径和尺寸分散量对等离子体石墨烯/GaAs SCs 光伏参数的影响。结果表明，通过诱导不均匀的加宽和等离子体带振幅的增加，增加 NPs 的半径和尺寸分散，提高了等离子体石墨烯 / GaAs SCs 的效率。