周期混合材料等效电参数无频散特性研究

频散性质是混合材料电学参数的重要特征，一直以来都受到众多学者关注，而关于周期混合材料无频散性质却较少被研究. 本文基于描述周期混合材料等效电参数的经验公式，推导得到周期混合材料等效电参数无频散时各组分应满足的条件，并采用有限元方法提取周期混合材料的等效介电常数和电导率. 经对比, 我们发现数值仿真结果与推导结果高度吻合，这表明本文提出的周期混合材料无频散理论是有效的. 在等效电参数满足无频散条件的前提下，我们分析了混合材料等效电参数随各组分体积比和电参数比的变化规律，以及内含物形状和空间分布对混合材料等效电参数无频散特征的影响. 本文基于晶胞结构提出了微观尺度上的周期混合材料无频散理论，可为无频散元器件的设计、各频段下等效电参数测量设备的样本制备以及测量结果校准提供理论依据.

Research on non-dispersion effective electrical parameters of periodic mixed materials

Dispersion properties are an important feature of electrical parameters of mixed materials, and have always attracted the attention of many scholars, but there are few researches on dispersion-free properties of periodic mixed materials. Based on the empirical formulas describing the equivalent electrical parameters of periodic mixed materials, this paper deduces the conditions that each component should satisfy when the equivalent electrical parameters of periodic mixed materials have no dispersion. The finite element method is used to extract the effective permittivity and electrical conductivity of the periodic mixed materials. It is found that the numerical simulation results are highly consistent with the deduced results, which shows the effectiveness of the dispersion-free theory for periodic mixed materials proposed in this paper. On the premise that the effective electrical parameters meet the dispersion-free condition, the variations of the effective electrical parameters of the mixed materials with the volume ratio and the electrical parameter ratio of each component, and the influence of the shape and spatial distribution of the inclusions on the dispersion-free effective electrical parameters of the mixed materials are analyzed. Based on the crystal cell structure, a dispersion-free theory of periodic mixed materials is proposed in this paper, which can provide a theoretical basis for the design of dispersion-free components and sample preparation and measurement result calibration of effective electrical parameter measurement equipment at various frequency bands.