Double-scale homogenized impedance models for periodically modulated metasurfaces

IF 1.5 Q4 MATERIALS SCIENCE, MULTIDISCIPLINARY
E. Martini, F. Caminita, S. Maci
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引用次数: 6

Abstract

This paper investigates the accuracy of homogenized impedance models for the description of periodically modulated metasurfaces (MTSs) realized by printing subwavelength patches on a grounded dielectric slab. The problem is relevant to surface-wave based MTS antennas. The homogenized models are based on the local impedance synthesis of the subwavelength patch elements on the basis of a micro-periodicity assumption (that is, with a subwavelength period); the homogenized impedance is successively used in a macro-periodically modulated problem; that is, a periodic homogenized problem with a period which includes several micro-periods. Two different homogenized impedance models are compared. A first model is based on an anisotropic “impenetrable” impedance, defined by boundary conditions (BCs) at the MTS-air interface, while the second one uses a “penetrable” impedance sheet describing the homogenized BCs imposed by the metallic cladding on the grounded metallic slab. Although the presence of the grounded slab is considered in both models, they provide different results when the homogenized impedance is used to describe the macro-modulation. It is shown, through comparison with a full-wave analysis, that both the homogenized models can provide consistent results, but the penetrable impedance model is more accurate in the prediction of both the complex propagation constant and the current distribution. This is due to its capability to correctly account for the spatial dispersivity of the MTS.
周期调制超表面的双尺度均质阻抗模型
本文研究了均匀化阻抗模型用于描述在接地介质板上印刷亚波长贴片实现的周期调制超表面(mts)的准确性。这个问题与基于表面波的MTS天线有关。均匀化模型是基于基于微周期性假设(即具有亚波长周期)的亚波长贴片单元的局部阻抗合成;均匀化阻抗依次用于宏观周期调制问题;这是一个周期均质化问题,其周期包含若干微周期。比较了两种不同的均质阻抗模型。第一个模型基于各向异性的“不可穿透”阻抗,由MTS-air界面的边界条件(BCs)定义,而第二个模型使用“可穿透”阻抗片,描述由接地金属板上的金属包层施加的均匀BCs。尽管两种模型都考虑了接地板的存在,但当采用均质阻抗来描述宏观调制时,它们给出了不同的结果。通过与全波分析的比较表明,两种均质化模型都能提供一致的结果,但穿透阻抗模型在复杂传播常数和电流分布的预测上更为准确。这是由于它能够正确地解释MTS的空间色散。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
EPJ Applied Metamaterials
EPJ Applied Metamaterials MATERIALS SCIENCE, MULTIDISCIPLINARY-
CiteScore
3.10
自引率
6.20%
发文量
16
审稿时长
8 weeks
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