In this work, we present a new type of the one dimensional photonic crystals that contain graphene based nanocomposite and dielectric layers. Here, the nanocomposite layer is designed form graphene nanoparticles into a dielectric host material. By using transfers matrix method, Maxwell–Garnett formula, and Kubo formula, the properties of photonic band gap within visible and infrared regions are discussed. Our results reflect the significant effect of graphene on the optical characteristics of the nanocomposite layer and the transmittance properties as well. Thus, the tunability of the photonic band gaps could be expected. Meanwhile, we demonstrate the effect of the volume fraction of graphene's nanoparticles, the constituent materials thicknesses, the chemical potential and the permittivities of the host dielectric material on the transmittance properties of the proposed design. This design could be of potential interest in many fields of applications such as stop band filters and switches with high reflectivity.

中文翻译：

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基于石墨烯纳米复合材料的光子晶体在可见光和红外波长范围内的光学特性

在这项工作中，我们提出了一种新型的一维光子晶体，其中包含基于石墨烯的纳米复合材料和介电层。在这里，纳米复合材料层被设计为将石墨烯纳米颗粒转化为介电主体材料。利用传递矩阵法、Maxwell-Garnett公式和Kubo公式，讨论了可见光和红外光子带隙的性质。我们的结果反映了石墨烯对纳米复合材料层的光学特性和透射性能的显着影响。因此，可以预期光子带隙的可调性。同时，我们展示了石墨烯纳米粒子的体积分数、组成材料厚度、主体介电材料的化学势和介电常数对拟议设计的透射率特性的影响。这种设计可能对许多应用领域具有潜在意义，例如具有高反射率的阻带滤波器和开关。