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Implementation of parallelized Finite Difference Time Domain (FDTD) algorithm and its application to the modeling of metamaterials.

机译：并行有限差分时域（FDTD）算法的实现及其在超材料建模中的应用。

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摘要

Finite Difference Time Domain (FDTD) method is a widely used full-wave numerical technique for solving electromagnetic problems in a wide range of applications. It has significant advantages over other numerical techniques, namely that it is easy to understand, simple to implement, and is well suited for solving general type of problems involving complex structures and arbitrarily inhomogeneous materials that require wideband solutions. In recent years, the development in parallel computation has led to a parallelized version of the FDTD solver, which has become one of the most desirable tools for treating extremely large and complex problems in a time-efficient manner.;In this dissertation we focus our attention primarily on two aspects, namely the implementation of a parallelized 3-D FDTD algorithm and its application to the modeling of metamaterials. First, we begin by proposing an efficient, parallel implementation of the Periodic Boundary Condition (PBC) in FDTD, which is based on the split-field method. The parallel scheme is based on a one-cell overlapping approach that is employed in the conventional FDTD method, which is extended in this work to include the PBC to model problems with periodic geometries. Next, a new, stable implementation of the Convolutional Perfectly Matched Layer (CPML) is implemented in the PBC/FDTD algorithm to truncate the computational domain with open boundaries.;Second, we propose a scheme to excite a desired incident field distribution in the computational domain to solve scattering problems that involve infinite structures. This scheme is based on modifying the conventional Total-Field/Scattered-Field (TF/SF) technique, which, in its original form, applies only to finite structures. The performance of the proposed scheme is studied by launching two different incident field distributions, namely a Gaussian beam and a plane wave.;Third, we carry out an extensive study of the electromagnetic (EM) response of a Double-Negative (DNG) slab, comprising of a combination of split-rings and wires, by using the parallel FDTD technique. Initially, we perform a preliminary analysis of the scattering characteristics of an infinite DNG slab, by using the proposed PBC/FDTD technique, to retrieve the effective material parameters via the modified inversion approach, which is described in this work. Some problem areas that may be encountered when using effective material parameters in real-world applications are identified, and the importance of carrying out rigorous simulations, which model the original structure, comprising of inclusions in a background medium accurately, is recognized. Finally, the EM response of a finite, artificial-DNG slab, illuminated either by a Gaussian beam or a small dipole is studied by using the parallel FDTD solver.
机译：时域有限差分（FDTD）方法是一种广泛使用的全波数值技术，用于解决广泛应用中的电磁问题。与其他数值技术相比，它具有显着的优势，即它易于理解，易于实现，并且非常适合解决涉及复杂结构和需要宽带解决方案的任意不均匀材料的一般问题。近年来，并行计算的发展导致了FDTD求解器的并行化，该版本已成为以省时的方式处理极大和复杂问题的最理想工具之一。主要关注两个方面，即并行化3-D FDTD算法的实现及其在超材料建模中的应用。首先，我们首先提出基于分割域方法的FDTD中周期边界条件（PBC）的高效，并行实现。并行方案基于常规FDTD方法中采用的单单元重叠方法，该方法在这项工作中得到扩展，包括PBC以对具有周期性几何形状的问题进行建模。接下来，在PBC / FDTD算法中实现了卷积完全匹配层（CPML）的新的，稳定的实现，以截断具有开放边界的计算域;其次，我们提出了一种在计算中激发期望的入射场分布的方案域来解决涉及无限结构的散射问题。该方案基于修改常规的总场/散场（TF / SF）技术，该技术以其原始形式仅适用于有限结构。通过发射两种不同的入射场分布，即高斯光束和平面波，研究了该方案的性能。第三，我们对双负（DNG）平板的电磁（EM）响应进行了广泛的研究。通过使用并行FDTD技术，由开口环和导线的组合组成。最初，我们通过使用提出的PBC / FDTD技术对无限DNG平板的散射特性进行初步分析，以通过改进的反演方法检索有效的材料参数，这在本工作中将进行介绍。确定了在实际应用中使用有效材料参数时可能遇到的一些问题领域，并认识到进行严格模拟的重要性，该模拟可以精确模拟原始结构，包括在背景介质中的夹杂物。最后，通过使用并行FDTD求解器，研究了由高斯光束或小偶极子照射的有限人造DNG平板的EM响应。

著录项

  • 作者

    Ma, Lai-Ching.;

  • 作者单位

    The Pennsylvania State University.;

  • 授予单位 The Pennsylvania State University.;
  • 学科 Engineering Electronics and Electrical.
  • 学位 Ph.D.
  • 年度 2008
  • 页码 262 p.
  • 总页数 262
  • 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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