Research on the equivalence of honeycomb structures based on the improved S-parameter inversion method
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摘要: 基于改进的S参数反演法，对具有色散特性和各向异性的蜂窝结构复合材料进行了等效化研究。利用三维电磁仿真软件CST与自由空间测试系统，完成对蜂窝结构及其等效平板的建模、仿真和实物测试。通过改变平面波的入射角度，分别获取垂直入射和斜入射条件下的蜂窝模型散射参数。利用反演程序依次推导出各入射条件对应的等效电磁参数，并将其应用于等效的匀质平板中，从而实现对蜂窝结构的等效化处理。通过对比蜂窝结构等效前后散射参数的仿真和实测结果，验证了该方法的准确性和可行性。Abstract:
Background Against the backdrop of the rapid development of electromagnetic stealth technology, the design and optimization of structural absorbing materials with both wave-absorbing and load-bearing functionalities has emerged as a significant research trend in this field. However, this type of material has diverse components and complex structures, making it difficult to characterize its electromagnetic parameters. Moreover, in electromagnetic modeling, it encounters problems such as a large number of mesh divisions and significant multi-scale effects, which results in low computational efficiency and difficult solution.Purpose This study aims to perform an equivalent processing for honeycomb composite materials with dispersion characteristics and anisotropy by introducing an improved S-parameter inversion method. The objective is to efficiently establish an accurate equivalent electromagnetic model while ensuring that the macroscopic scattering characteristics remain unchanged.Methods Using three-dimensional electromagnetic simulation software CST and a free-space measurement system, the modeling, simulation, and practical testing of the honeycomb structure and its equivalent flat plate were successfully accomplished. By varying the incident angle of the plane wave, the scattering parameters of the honeycomb model were obtained under both normal and oblique incidence conditions. Through an inversion procedure, the equivalent electromagnetic parameters corresponding to each incident condition were sequentially derived and subsequently applied to the equivalent homogeneous flat plate, thereby achieving the equivalency treatment of the honeycomb structure.Results The simulated and measured scattering parameters of the honeycomb structure, both before and after equivalence, were compared and revealed a high degree of agreement. This result strongly validates the accuracy and feasibility of the proposed equivalent method.Conclusions This paper adopts the improved S-parameter inversion method, and for the honeycomb absorbing structure under different plane wave incidence angles, completes the extraction of its equivalent electromagnetic parameters and the construction of the equivalent model. The consistency of the equivalent results validates the accuracy and feasibility of the method and provides a reliable solution for the efficient electromagnetic modeling of honeycomb absorbing structures. -
图 1 平面波斜入射介质平板的示意图
Figure 1. Diagram of a plane wave oblique incident on a dielectric slab
图 4 不同入射角下等效电磁参数反演结果
Figure 4. Inversion results of equivalent electromagnetic parameters at different incidence angles
图 5 0°入射时等效前后模型的S参数对比图
Figure 5. Comparison of S-parameters of the model before and after the equivalent model at 0° incident
图 6 30°入射时等效前后模型的S参数对比图
Figure 6. Comparison of S-parameters of the model before and after the equivalent model at 30° incident
图 7 60°入射时等效前后模型的S参数对比图
Figure 7. Comparison of S-parameters of the model before and after the equivalent model at 60° incident
图 9 垂直入射条件下蜂窝等效前后散射参数对比
Figure 9. Comparison of honeycomb equivalent back-and-forth scattering parameters under vertical incidence conditions
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