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中国物理学会期刊

基于等效介质原理的宽角超材料吸波体的理论分析

CSTR: 32037.14.aps.69.20191732

Theoretical analysis of wide-angle metamaterial absorbers based on equivalent medium theory

CSTR: 32037.14.aps.69.20191732
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  • 目前, 很少有文章就如何实现宽角度吸波材料进行详细的理论分析和设计指导, 设计宽角度吸波材料仍然是一件很困难的事情. 本文基于等效介质理论对带有反射地板的单层介质超材料吸波体进行较为详细的理论分析. 从基础电磁理论出发, 推导TE波(横电波, 电场方向与入射面垂直的平面电磁波)和TM波(横磁波, 磁场方向与入射面垂直的平面电磁波)照射下吸波体的反射系数, 分析实现宽角度吸波效果所需的等效电磁参数, 为宽角度超材料吸波体的设计提供了理论基础. 此外, 论文还理论分析了实现宽带宽角吸波等效电磁参数所要满足的条件, 并做了计算检验. 结果表明, 当介质等效电磁参数按照特殊曲线随频率发生变化时, 理论上能实现宽带宽角的吸波效果.

     

    In the past decade, most of researchers have been devoted to broadening the bandwidth of absorber. There are few researches on how to achieve wide-angle absorbing materials by detailed theoretical analysis and design guidance. It is still difficult to design wide-angle absorbers. In this paper, based on the equivalent medium theory, the reflectivity of the metamaterial absorber with a single-layered medium backed with metal reflector is analyzed in detail. Starting from the basic electromagnetic theory, the reflection coefficient of the absorber under transverse electric(TE) plane wave and transverse magnetic (TM) plan wave irradiation are derived. And the equivalent electromagnetic parameters of realizing the wide-angle absorbing effect are analyzed, which provide a theoretical basis for designing the wide-angle metamaterial absorber. The theoretical analysis results show that the equivalent electromagnetic parameters required for the medium to achieve low-profile and wide-angle absorbing effect are mainly related to the equivalent permeability and have little relationship with the equivalent permittivity. Moreover, the equivalent electromagnetic parameter value for achieving ultra-wide-angle absorber under TE wave and that under TM wave irradiation are different from each other. In other words, the anisotropic metamaterial with appropriate equivalent permeability has the potential to be used to design the ultra-wide-angle absorbers which are not sensitive to TE waves nor TM waves. In addition, in order to find the theoretically achievable widest absorbing angle value under TE wave and TM wave irradiation, the reflection coefficients at all angles must be less than or equal to –10 dB to obtain the relationship among the equivalent electromagnetic parameters, thickness and angle. The results show that the theoretically achievable widest absorbing angle value is 86.56° under TE wave and TM wave irradiation. The designer can choose the corresponding thickness and permeability from the data obtained from the analysis according to the design requirements. The narrow-band absorbers have limited applications. Therefore, in this paper we also theoretically analyze the values of the equivalent electromagnetic parameters for ahcieving wide-band and wide-angle absorbing materials, and make theoretical verification. The results show that the wide-band and wide-angle absorber can be achieved theoretically, while the equivalent electromagnetic parameters of the medium vary with frequency as some special curves indicate. Although this method is based on the equivalent medium theory and has no direct relationship with the actual structure, it does provide theoretical guidance for designing the wide-angle absorbers.

     

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