Abstract

The development of metamaterials has led to the search and selection of effective methods for radio wave nondestructive testing of their electrophysical parameters. The existing approaches to testing, based on the recovery of the effective electrophysical parameters of metamaterials from the reflection and transmission coefficients of an electromagnetic wave, have low reliability and do not provide the local inspection of the parameters. In this paper, we propose for the first time a radio-wave method for local inspection of complex dielectric and magnetic permeabilities, as well as the thickness of flat-layered samples of metamaterials on a metal substrate using surface electromagnetic waves of the microwave range. The method is based on solving the inverse problem of determining the effective electrophysical parameters of a metamaterial from the frequency dependence of the complex attenuation coefficient of the field of a surface electromagnetic wave excited in the sample under study. In this case, the electrophysical parameters of the metamaterial are represented in the form of parametric frequency functions in accordance with the Drude–Lorentz dispersion models, and the solution of the inverse problem is reduced to minimizing the objective function constructed from the discrepancy between the experimental and calculated theoretical values of the attenuation coefficients of the surface electromagnetic wave field on a grid of discrete frequencies. The structure of the measuring complex that implements the proposed inspection method is presented. A sample of a flat-layered metamaterial based on SRR elements with a region of negative refraction in the frequency range of 10.06–10.64 GHz was investigated for the numerical and experimental verification of the method. Experimental verification has shown that the local values of the effective electrophysical parameters of the studied metamaterial differ from the calculated ones by no more than 10%.

中文翻译：

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用表面电磁波法测试超材料的电物理参数

摘要

超材料的发展催生了对其电物理参数进行无线电波无损检测的有效方法的探索和选择。现有的测试方法基于从电磁波的反射和透射系数中恢复超材料的有效电物理参数，可靠性低，并且不提供参数的局部检查。在本文中，我们首次提出了一种无线电波方法，用于局部检测复杂的介电和磁导率，以及使用微波范围的表面电磁波检测金属基板上超材料平面样品的厚度。该方法基于解决从所研究样品中激发的表面电磁波场的复衰减系数的频率依赖性确定超材料的有效电物理参数的逆问题。在这种情况下，超材料的电物理参数根据 Drude-Lorentz 色散模型以参数频率函数的形式表示，并简化了逆问题的解决方案，以最小化由实验之间的差异构建的目标函数并计算了离散频率网格上表面电磁波场衰减系数的理论值。介绍了实施所提出的检查方法的测量复合体的结构。研究了基于 SRR 元件且在 10.06-10.64 GHz 频率范围内具有负折射区域的平层超材料样品，以对该方法进行数值和实验验证。实验验证表明，所研究的超材料的有效电物理参数的局部值与计算值的差异不超过 10%。