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Numerical analysis of periodic structures for microwave and infrared applications with the finite-difference time domain (FDTD) method.

机译：用时域有限差分法（FDTD）对微波和红外应用的周期性结构进行数值分析。

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摘要

The primary emphasis of this dissertation is to develop efficient time domain numerical algorithms to investigate the scattering and transmission behaviors of artificial periodic structures. The discussion focuses on several difficulties in the numerical analysis of periodic structure and includes three main topics: (1) modeling of the periodic structure in the nano-scale, (2) modeling of periodic structure due to oblique plane wave incidence, and (3) modeling of periodic structure due to a non-periodic, finite-source excitation. With regard to these subjects, several novel techniques have been proposed and applied to the finite-difference time-domain (FDTD) method.; To analyze the nano-scale periodic structure for infrared (IR) applications, a Lorentz-Drude model is incorporated into the FDTD method to characterize metal film frequency-dependent electrical behavior at the IR wavelength using a Z-transform technique. The predicted results are compared with measured data, and good agreement is reported.; A novel FDTD algorithm with a simple periodic boundary condition (PBC) is developed to analyze the electromagnetic transmission/reflection for general periodic structures with arbitrary incident angles. The basic idea is to use a constant horizontal wave number in each FDTD simulation. The implementation procedure is introduced, and its validity is shown through several numerical examples.; Two novel time domain methods, which are based on spectral domain source transformation in conjunction with the finite-difference time-domain (FDTD) method, are developed. They are used to investigate the propagation and scattering behaviors of artificial periodic arrays due to arbitrarily shaped electromagnetic source illumination. Using these methods, only a single periodic cell must be modeled in finite difference time-domain computation. The error and convergence analyses are discussed in detail. Several periodic structures are analyzed using the proposed method to verify their computational efficiency in terms of computer memory and computing time.
机译：本文的主要重点是开发有效的时域数值算法，以研究人工周期结构的散射和传输行为。讨论的重点是周期性结构数值分析中的几个困难，包括三个主要主题：（1）在纳米尺度上对周期性结构进行建模；（2）由于斜面波入射而引起的周期性结构建模；以及（3） ）由于非周期性的有限源激励而对周期性结构进行建模。关于这些主题，已经提出了几种新颖的技术并将其应用于有限差分时域（FDTD）方法。为了分析用于红外（IR）应用的纳米级周期性结构，将Lorentz-Drude模型并入FDTD方法中，以使用Z变换技术在IR波长处表征金属膜频率相关的电行为。将预测结果与实测数据进行比较，并报告良好的一致性。提出了一种具有简单周期边界条件（PBC）的新颖FDTD算法，以分析具有任意入射角的一般周期结构的电磁透射/反射。基本思想是在每个FDTD仿真中使用恒定的水平波数。介绍了实现过程，并通过几个数值例子说明了其有效性。开发了两种新颖的时域方法，它们是基于频谱域源变换结合有限差分时域（FDTD）方法的。它们用于研究由于任意形状的电磁源照明而导致的人工周期阵列的传播和散射行为。使用这些方法，必须在有限差分时域计算中对单个周期单元进行建模。详细讨论了误差和收敛性分析。使用所提出的方法分析了几种周期性结构，以验证它们在计算机内存和计算时间方面的计算效率。

著录项

  • 作者

    Qiang, Rui.;

  • 作者单位

    University of Houston.;

  • 授予单位 University of Houston.;
  • 学科 Engineering Electronics and Electrical.
  • 学位 Ph.D.
  • 年度 2007
  • 页码 174 p.
  • 总页数 174
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 无线电电子学、电信技术;
  • 关键词

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