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Photonic Crystals with Alternate Arrays of Rods and Holes in a Low Dielectric-Index Material.

机译：低介电指数材料中具有交替排列的杆和孔阵列的光子晶体。

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摘要

This thesis theoretically deals with the propagation of electromagnetic waves (light beams) in periodically modulated dielectric material structures based on Maxwell's equations. We are interested in novel light propagation characteristics in these man-made dielectric material structures for practical applications, especially on optical communications and computations. Since the wavelength range of light is on the same order of magnitude as the modulation periods of dielectric materials, an analogy of the light propagation in dielectric-constant modulated structures with the electron transport in solid-state crystals is used throughout my thesis by using a term "photonic crystals (PhCs)" referring to these dielectric structures. I started my work on twodimensional (2D) PhCs. A new type of PhCs is proposed which consists of alternate arrays of rods and holes (AARH), embedded in a low dielectric-constant material such as ultraviolet-curable polymer. By modeling them as 2D PhCs, it is discovered that this type of PhCs exhibits overlapped photonic band gaps (PBGs) for both transverse electric (TE) and transverse magnetic (TM) polarized light beams. This discovery is important for many practical applications related to light manipulation. It opens the door to more effective optical computing elements, as well as better wave guides, LEDs and micro-lasers. It is also found that new AARH PhCs possess many interesting near-band-edge properties such as left-hand-material characteristics manifested by perfect reflection, negative refraction, and superlensing. I then extended my work to three dimensional (3D) counterparts of the discovered PhCs, which are called photonic crystal slabs (PCSs). I found that the overlapped TE and TM PBGs persist in these PCSs although they are restricted to a partial k-space. By manipulating certain structure parameters such as the thickness of PCS and its cladding, it is possible to achieve overlapping incomplete PBGs exactly in the frequency range predicted by 2D simulations. Hence, one can use fast and cheap 2D simulation instead of slow and expensive 3D and still engineer complex 3D photonic structures. The AARH PCSs also exhibit negative refraction and near zero effective refractive index. These effects allow for a strong control over the light propagation in PhCs. Additionally, the edge and surface modes of proposed PCSs are observed that effectively enlarge slabs' PBGs.
机译：本文理论上基于麦克斯韦方程，研究电磁波（光束）在周期调制介电材料结构中的传播。我们对这些用于实际应用的人造介电材料结构中的新颖光传播特性感兴趣，特别是在光通信和计算方面。由于光的波长范围与介电材料的调制周期处于相同的数量级，因此在整个论文中，通过以下方法使用了介电常数调制结构中的光传播与固态晶体中的电子传输的类比。术语“光子晶体（PhC）”是指这些介电结构。我开始研究二维（2D）PhC。提出了一种新型的PhC，它由嵌入在低介电常数材料（例如紫外线可固化聚合物）中的杆和孔（AARH）的交替阵列组成。通过将它们建模为2D PhC，发现这种类型的PhC在横向（TE）和横向（TM）极化光束中均显示出重叠的光子带隙（PBG）。该发现对于与光操纵有关的许多实际应用很重要。它为更有效的光学计算元件以及更好的波导，LED和微激光器打开了大门。还发现，新的AARH PhC具有许多有趣的近带边缘特性，例如以完美反射，负折射和超透镜表现出的左手材料特性。然后，我将工作扩展到发现的PhC的三维（3D）对应物，称为光子晶体平板（PCS）。我发现重叠的TE和TM PBG在这些PCS中仍然存在，尽管它们仅限于部分k空间。通过操纵某些结构参数，例如PCS的厚度及其覆层，可以准确地在2D模拟预测的频率范围内实现重叠的不完整PBG。因此，人们可以使用快速且便宜的2D模拟代替缓慢而昂贵的3D，并且仍然可以设计复杂的3D光子结构。 AARH PCS还表现出负折射和接近零的有效折射率。这些效果可有效控制PhC中的光传播。另外，观察到所提议的PCS的边缘和表面模式可以有效地扩大平板的PBG。

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  • 作者

    Dimitrov, Dimitar.;

  • 作者单位

    City University of New York.;

  • 授予单位 City University of New York.;
  • 学科 Nanotechnology.
  • 学位 Ph.D.
  • 年度 2016
  • 页码 149 p.
  • 总页数 149
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

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