{"title":"Investigation of Problems of Electromagnetic Wave Scattering by Conductive Strip Gratings Using Integral Equation Method","authors":"George Koshovy, Andrew Koshovy, Oksana Ahapova","doi":"10.3103/s0735272723080022","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>A detailed study of the problem of scattering of a plane-polarized electromagnetic wave by systems of conductive strips with impedance forming a plane grating is carried out. Two correct general mathematical models of scattering by conductive gratings were developed in a system of singular integral equations. The first modification of the method of integral equations is related to the simpler case of scattering of an <i>E</i>-polarized wave by a conducting strip grating. A simple and correct mathematical model of scattering in the form of a system of singular integral equations was obtained. The diagonal kernel functions of this system have a logarithmic feature, which is considered weak. The second modification is developed for the more complicated case of <i>H</i>-polarized wave scattering by a conducting strip grating. A more complex mathematical model of scattering in the form of a system of integral equations was obtained. The diagonal kernel functions of this system have a strong or Cauchy-type singularity. In this polarization case, two sets of additional conditions arise to ensure the correctness of the mathematical model. In order to check the correctness of the solution of electromagnetic wave scattering problems, it is important to obtain it in an explicit analytical form, even under certain assumptions that narrow the frequency range of the application of mathematical models. The asymptotic models of wave scattering by a single narrow strip with impedance and a weakly filled grating were developed. To show the asymptotic model effectiveness, the algorithms for calculating the directional characteristics are developed and simulations were performed.</p>","PeriodicalId":52470,"journal":{"name":"Radioelectronics and Communications Systems","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Radioelectronics and Communications Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3103/s0735272723080022","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Engineering","Score":null,"Total":0}
引用次数: 0
Abstract
A detailed study of the problem of scattering of a plane-polarized electromagnetic wave by systems of conductive strips with impedance forming a plane grating is carried out. Two correct general mathematical models of scattering by conductive gratings were developed in a system of singular integral equations. The first modification of the method of integral equations is related to the simpler case of scattering of an E-polarized wave by a conducting strip grating. A simple and correct mathematical model of scattering in the form of a system of singular integral equations was obtained. The diagonal kernel functions of this system have a logarithmic feature, which is considered weak. The second modification is developed for the more complicated case of H-polarized wave scattering by a conducting strip grating. A more complex mathematical model of scattering in the form of a system of integral equations was obtained. The diagonal kernel functions of this system have a strong or Cauchy-type singularity. In this polarization case, two sets of additional conditions arise to ensure the correctness of the mathematical model. In order to check the correctness of the solution of electromagnetic wave scattering problems, it is important to obtain it in an explicit analytical form, even under certain assumptions that narrow the frequency range of the application of mathematical models. The asymptotic models of wave scattering by a single narrow strip with impedance and a weakly filled grating were developed. To show the asymptotic model effectiveness, the algorithms for calculating the directional characteristics are developed and simulations were performed.
摘要 详细研究了平面极化电磁波在具有阻抗的导电条组成的平面光栅系统中的散射问题。在奇异积分方程系统中建立了两种正确的导电光栅散射一般数学模型。积分方程方法的第一个修正涉及导电条光栅对 E 极化波散射的较简单情况。以奇异积分方程组的形式获得了一个简单而正确的散射数学模型。该系统的对角核函数具有对数特征，被认为是弱的。第二种修改是针对 H 偏振波由导电条形光栅散射这一更复杂的情况而开发的。我们得到了一个积分方程组形式的更复杂的散射数学模型。该系统的对角线核函数具有强奇异性或考奇型奇异性。在这种偏振情况下，需要两组附加条件来确保数学模型的正确性。为了检查电磁波散射问题解的正确性，即使在某些假设条件下，数学模型的应用频率范围缩小了，也必须以明确的分析形式获得解。我们建立了具有阻抗的单个窄带和弱填充光栅对波的散射的渐近模型。为了证明渐近模型的有效性，还开发了计算方向特性的算法并进行了模拟。
期刊介绍：
Radioelectronics and Communications Systems covers urgent theoretical problems of radio-engineering; results of research efforts, leading experience, which determines directions and development of scientific research in radio engineering and radio electronics; publishes materials of scientific conferences and meetings; information on scientific work in higher educational institutions; newsreel and bibliographic materials. Journal publishes articles in the following sections:Antenna-feeding and microwave devices;Vacuum and gas-discharge devices;Solid-state electronics and integral circuit engineering;Optical radar, communication and information processing systems;Use of computers for research and design of radio-electronic devices and systems;Quantum electronic devices;Design of radio-electronic devices;Radar and radio navigation;Radio engineering devices and systems;Radio engineering theory;Medical radioelectronics.
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