Abstract A modification of the Lichtenecker–Rother model is proposed for the dielectric permittivity of polymer composites that takes into account aggregation of filler particles into clusters. The governing equations for the real and imaginary parts of the complex permittivity of a composite involve three adjustable parameters with transparent physical meaning. These quantities are determined by fitting experimental data on a number of polymers reinforced with ceramic, magnetic and carbon particles. Good agreement is demonstrated between the results of simulation and observations on the dielectric constant and dielectric loss at microwave frequencies. It is shown that the model can be applied to extract dielectric parameters of filler from observations on polymer composites.

中文翻译：

---

聚合物复合材料在微波频率下的介电常数建模

摘要 针对聚合物复合材料的介电常数提出了对 Lichtenecker-Rother 模型的修正，该模型考虑了填料颗粒聚集成簇的情况。复合材料复介电常数实部和虚部的控制方程涉及三个具有透明物理意义的可调参数。这些量是通过对用陶瓷、磁性和碳颗粒增强的许多聚合物的实验数据拟合来确定的。模拟结果与微波频率下介电常数和介电损耗的观察结果之间显示出良好的一致性。结果表明，该模型可用于从对聚合物复合材料的观察中提取填料的介电参数。