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

Abstract:

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.