无序纳米复合材料随机阻抗网络模型中等离子体共振的随机矩阵方法
Random matrix approach to plasmon resonances in the random impedance network model of disordered nanocomposites
摘要：
随机阻抗网络被广泛地用作描述无序金属-电介质和其它双组分纳米复合材料中的等离子体共振的模型。本文在随机矩阵理论的框架内研究了随机网络中共振态的谱特性。我们已经表明，所考虑的问题的随机矩阵的适当的合奏是雅可比合奏（MANOVA合奏）。在宽的金属填充分数$0<p<1$范围内，所得到的这种谐振网络的态密度的解析表达式与数值模拟的结果显示出良好的一致性。与有效介质近似的对应关系。
英文摘要：
Random impedance networks are widely used as a model to describe plasmon resonances in disordered metal-dielectric and other two-component nanocomposites. In the present work, the spectral properties of resonances in random networks are studied within the framework of the random matrix theory. We have shown that the appropriate ensemble of random matrices for the considered problem is the Jacobi ensemble (the MANOVA ensemble). The obtained analytical expressions for the density of states in such resonant networks show a good agreement with the results of numerical simulations in a wide range of metal filling fractions $0<p<1$. A correspondence with the effective medium approximation is observed.
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