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• Statistical Computing 统计计算
• (Generalized) Linear Models 广义线性模型
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• Longitudinal Data Analysis 纵向数据分析
• Foundations of Data Science 数据科学基础

## 物理代写|电动力学代写electromagnetism代考|A multilayer structure without polarizer

A circuit made up of two interfaces was simulated using the Matlab software program. The interfaces were discretized following the procedure described for the FMT and its related inverse. Figure 2.13(a) shows the multilayer structure with the different interfaces with $\varepsilon_{r 1}=\varepsilon_{r 2}=2.2, \varepsilon_{r 3}=1$ and $h_{1}=h_{2}=0.65 \mathrm{~mm}$. On the first interface (Figure 2.13(b)), the microstrip line has a width of $2 \mathrm{~mm}$ and a length of $18 \mathrm{~mm}$. On the second interface (Figure $2.13(\mathrm{c})$ ), the resonator has a width of $4 \mathrm{~mm}$ and a length of $20 \mathrm{~mm}$. Figure $2.13(\mathrm{~d})$ shows the anticipated behavior of the current density at a 5 $\mathrm{GHz}$ resonance frequency.

In this case, a second interface corresponding to the real polarizer was placed between the power supply and the resonator (Figure 2.14(a)). The physical and electric parameters are: $\varepsilon_{r 1}=\varepsilon_{r 2}=\varepsilon_{r 3}=2.2, \varepsilon_{r 4}=1, h_{1}=0.65$ $\mathrm{mm}, h_{2}=0.3 \mathrm{~mm}$ and $h_{3}=0.35 \mathrm{~mm}$.

The polarizer is made up of parallel metal strips in the direction $O y$. These have a width of $2 \mathrm{~mm}$ and a length of $32 \mathrm{~mm}$ spaced at intervals of 2 $\mathrm{mm}$. For this simulation, the three interfaces are discretized with all operations of the FMT and its linked converse. Figure 2.14(b) shows the behavior of current density across the resonator with the resonance frequency of $4.1 \mathrm{GHz}$. This new resonance frequency is due to the increase in capacitance and inductance of the real polarizer. In Figure 2.14(b), the influence of the metallic parallel strips upon the behavior of current density may be seen.

## 物理代写|电动力学代写electromagnetism代考|The simulation results

To set out and evaluate the suggested structure, a number of simulations of the amplifying structure have been completed. Figure $2.19$ shows the multilayer structure with the physical interface $\Omega_{2}$ used for the auxiliary source method.

On the first interface, the microstrip power line has a width of $2 \mathrm{~mm}$ and a length of $18 \mathrm{~mm}$. On the second interface the resonator in $L$ has the dimensions $4 \mathrm{~mm} \times 20 \mathrm{~mm}(l \times L)$. On the third interface the microstrip line has the same dimensions as the first interface. Expressing the polarizers directly within the modal sphere avoids discretization within the spatial domain. Consequently, $30 \%$ of computation time is saved. The dimensions of the wave guide are $32 \mathrm{~mm} \times 32 \mathrm{~mm}$, with $\varepsilon_{r 1}=\varepsilon_{r 2}=\varepsilon_{r 3}=$ $2.2, \varepsilon_{r 4}=1$. The last layer (the upper layer) is free space, and $l_{1}=l_{2}=l_{3}=$ $0.65 \mathrm{~mm}$.

# 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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