## 英国补考|电动力学代写electromagnetism代考|PHYS3040

2022年7月15日

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## 英国补考|电动力学代写electromagnetism代考|Triple-layer plating

An increase in FSS bandwidth may be achieved by adding an additional level of plating. In Figure 3.15, identical triple-layer FSS plating is studied through using the WCIP method. The unitary FSS cell etched on the triplelayer plating FSS is shown in Figure 3.15(a). Figure 3.15(b) shows a section of the resulting FSS. Its characterization by the WCIP method is based upon the extension of the FSS double-layer plating approach to that of the triple-layer plating approach, by resorting to inter-level adjacent transition operator specified in [3.17].

Five poles can be noted within the increased bandwidth as Figure $3.15$ shows, when characterizing an FSS with identical rectangular slits etched on three levels of plating. Two poles occur due to the resonances of the dielectric thickness, which separates the metal screens. The other poles result from both the resonances of the metal screen and the symmetry displayed by the structure.

## 英国补考|电动力学代写electromagnetism代考|WCIP method adapted to thick FSS devices

Figure $3.16$ shows an FSS with dielectric slits based upon a metal screen placed upon a dielectric substrate, and fed by a plane wave with a normal incidence. The virtual dotted lines in Figure $3.2$ represent periodic walls, restricting the FSS unitary cell. A section of the FSS unitary cell FSS under consideration is shown in Figure 3.17. It consists of three so-called regions which are formulated as region I, region II and region III.

The dielectric layer made up of air and substrate in Figure $3.17$ is converted into a single WCIP layer. This is done by reducing the admittances of the TE and TM modes of the air layer to the interface separating region III from region II passing through the substrate thickness layer $h$ [TIT 7a]. The resulting model shown in Figure $3.18$ is the WCIP problem containing three FSS thick slit resonant media.

Regions I and III are restricted by periodic walls. In these two regions, the conventional WCIP method, adapted to the FSS, is used as explained in detail in [TIT 07a, TIT 07b]. The wave diffracted in region I (or region III) is equal to the part of the wave diffracted from the metallic domain plus the wave coming from region III (or region I) through the rectangular-shaped metallic waveguide. This may be expressed as the equation:
$$\left{\begin{array}{l} \vec{B}{1}=-h{m} \vec{A}{1}+\vec{B}{1_{m l–}} \ \vec{B}{2}=-h{m} \vec{A}{2}+\vec{B}{2_{l-1 n}} \end{array}\right.$$
where $h_{m}$ is the indicator function of the metal domain. $\vec{B}{1{m-l}}$ and $\vec{B}{2{l-\mu u l}}$ are respectively waves coming from region III and arriving in region I and waves leaving region I to reach region III through region II. Region II is modeled by a rectangular metallic waveguide with a length $t$ being the thickness of the perforated metallic screen. $\vec{B}{1{m l-l}}$ and $\vec{B}{2{i-\lrcorner u l}}$ are expressed as:
$$\left|\begin{array}{l} \vec{B}{1 ! I I-1} \ \vec{B}{2 I-I I I} \end{array}\right|=\left[\hat{S_{T}}\right]\left|\begin{array}{l} h_{i} \vec{A}{1} \ h{i} \vec{A}{2} \end{array}\right|$$ with $h{i}$ being the indicator function of the dielectric domain filling the metal waveguide, possessing a rectangular shape which models the thickness of the perforated metallic sheet.

# 电动力学代考

## 有限元方法代写

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## MATLAB代写

MATLAB 是一种用于技术计算的高性能语言。它将计算、可视化和编程集成在一个易于使用的环境中，其中问题和解决方案以熟悉的数学符号表示。典型用途包括：数学和计算算法开发建模、仿真和原型制作数据分析、探索和可视化科学和工程图形应用程序开发，包括图形用户界面构建MATLAB 是一个交互式系统，其基本数据元素是一个不需要维度的数组。这使您可以解决许多技术计算问题，尤其是那些具有矩阵和向量公式的问题，而只需用 C 或 Fortran 等标量非交互式语言编写程序所需的时间的一小部分。MATLAB 名称代表矩阵实验室。MATLAB 最初的编写目的是提供对由 LINPACK 和 EISPACK 项目开发的矩阵软件的轻松访问，这两个项目共同代表了矩阵计算软件的最新技术。MATLAB 经过多年的发展，得到了许多用户的投入。在大学环境中，它是数学、工程和科学入门和高级课程的标准教学工具。在工业领域，MATLAB 是高效研究、开发和分析的首选工具。MATLAB 具有一系列称为工具箱的特定于应用程序的解决方案。对于大多数 MATLAB 用户来说非常重要，工具箱允许您学习应用专业技术。工具箱是 MATLAB 函数（M 文件）的综合集合，可扩展 MATLAB 环境以解决特定类别的问题。可用工具箱的领域包括信号处理、控制系统、神经网络、模糊逻辑、小波、仿真等。