# 物理代写|电动力学代写electromagnetism代考|PHYC20014

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## 物理代写|电动力学代写electromagnetism代考|Dielectric short-circuited FSS rings

The insertion of two short-circuits and four short-circuits in variable angular positions offers more flexibility in the adjustment of the FSS resonance frequency with circular dielectric rings shown in Figure 3.5. Circular rings are printed on a thickness substrate of $0.51 \mathrm{~mm}$ and a dielectric constant of 3.4. The internal radius and the external radius of the dielectric rings are respectively $3.8 \mathrm{~mm}$ and $4.5 \mathrm{~mm}$. The dimensions of the unitary cell are $a=11.43 \mathrm{~mm}$ and $b=10.13 \mathrm{~mm}$.

Figure $3.6$ shows the reflection coefficient of the FSS in Figure $3.5$ when it is fed with a normally incident plane wave in both the $x$ and the $y$ polarizations, respectively. The interface is described as having a grid of $120 \times 120$ pixels and the iterative procedure is halted after 1,600 iterations.

For increased flexibility within the resonance frequency, two other shortcircuits are added in specific angular positions as in Figure 3.5(b). Figure $3.7$ shows the reflection coefficient according to the frequency for $\varphi=20^{\circ}, 40^{\circ}$, $30^{\circ}$ and $60^{\circ}$, when the FSS is illuminated by a normally incident plane wave in the $y$ polarization.

## 物理代写|电动力学代写electromagnetism代考|FSSs charged by lumped elements and active FSSs

Using FSSs charged with passive elements and active elements is another altcrnative way to achicve the FSS concept, with a morc variable sclcctivity. To check that the WCIP iterative method supports charged FSSs, it is applied to a circular FSS dielectric ring, which is charged by capacitors, inductances or PIN diodes.

Figure $3.8$ shows the reflection coefficient of this FSS, with a thickness substrate of $0.102 \mathrm{~mm}$ and a dielectric constant of 2.4. It has a resonance of nearly $13.9 \mathrm{GHz}$.

The circular FSS rings are now charged by capacitors and inductances, and corresponding reflection coefficients are shown in Figures 3.9(b) and (c), respectively.

The increase in capacitance decreases the resonance frequency in relation to an uncharged FSS. On the other hand, the increase in inductance also increases the resonance frequency of the FSS, charged with inductances, as Figure $3.9$ shows. Hence, a large frequency range, centered upon the resonance frequency of an uncharged FSS, may be detected.

# 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。

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