Abstract

This paper presents a comparative analysis of the mixture models used in radio physics to describe the effective properties of composite materials and formulates the limits of their applicability and criteria for checking their correctness. Two of the most general models have been chosen, which take into account the transformation of the composite structure upon changes in its composition. The correspondence of the chosen model to the experimental results is considered. The effect of the composite structure on the frequency of the maximum and the shape of its dielectric absorption line is shown. The analysis shows that the complication of the models in comparison with those already known and an increase in the number of parameters determined from the experiment is inappropriate at the existing level of the composition and material parameters (permittivity and permeability) measuring error and due to a significant contribution of the size and surface effects, which is not taken into account in quasi-static mixture models.

中文翻译：

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二元非均质混合物模型的电学和磁学特性

摘要

本文对无线电物理学中使用的混合模型进行了比较分析，以描述复合材料的有效特性，并制定了其适用性的限制和检查其正确性的标准。选择了两个最通用的模型，它们考虑了复合结构在其组成变化时的转变。考虑了所选模型与实验结果的对应关系。显示了复合结构对最大频率及其介质吸收线形状的影响。