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首页> 外文学位 >Full vectorial finite element analysis of photonic crystal devices: Application to low-loss modulator.
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Full vectorial finite element analysis of photonic crystal devices: Application to low-loss modulator.

机译：光子晶体器件的全矢量有限元分析：在低损耗调制器中的应用。

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摘要

A full vectorial finite element analysis is presented for the design and analysis of photonic crystal structures. Finite element C++ class libraries are developed based on the vector formulation of the two and three dimensional wave equation. Whitney 1-forms, often called edge elements, are used as basis functions to avoid spurious modes in eigenanalyses. The current finite element codes can solve 2-D and 3-D eigenvalue and scattering problems with boundary conditions: the perfect electric conductor (PEC), the perfect magnetic conductor (PMC) and the Bloch boundary condition. Open boundary problems can also be solved by implementing the perfectly matched layers (PML). Eigenanalyses are performed for various types of photonic crystal structures such as unit cells, infinite waveguides and defect cavities. The transmission spectra of the photonic crystal guiding structures, straight waveguides, waveguide bends and waveguide branches, are derived using scattering formulation. Experimental verification is also presented for a single and five missing line photonic crystal waveguides. Based on the calculated transmission spectra, we conducted simulated annealing optimization of branches and bends to increase the transmission. We applied previous results to a Mach-Zehnder type optical interferometer. The design of waveguide arms is modified to increase the sensitivity. Change of lattice constant gives rise to the shift of the waveguide band. Thus, the operating frequency can be moved to the bandedge which exhibits more dispersive characteristics. We also investigated the coupled-resonator optical waveguide (CROW) structures for the same purpose. By inserting the defect air holes in the waveguide channel, the shape and the frequency range of the band can be engineered. The increase in the sensitivity of the CROW is analyzed by varying the radii of the defect air holes in the waveguide channel. Also group velocities and their dispersion characteristics are investigated and its use on delay lines and dispersion compensators are proposed.
机译：提出了一个完整的矢量有限元分析，用于光子晶体结构的设计和分析。基于二维和三维波动方程的矢量公式，开发了有限元C ++类库。惠特尼1形式（通常称为边缘元素）用作基本函数，以避免特征分析中的虚假模式。当前的有限元代码可以解决带有边界条件的2维和3维特征值和散射问题：理想电导体（PEC），理想磁导体（PMC）和布洛赫边界条件。开放边界问题也可以通过实现完全匹配的层（PML）来解决。对各种类型的光子晶体结构（例如，晶胞，无限波导和缺陷腔）执行本征分析。利用散射公式推导了光子晶体导引结构，直波导，波导弯曲和波导分支的透射光谱。还提供了针对单个和五个缺失线光子晶体波导的实验验证。基于计算的透射光谱，我们对分支和折弯进行了模拟退火优化，以增加透射率。我们将先前的结果应用于Mach-Zehnder型光学干涉仪。修改了波导臂的设计以提高灵敏度。晶格常数的变化引起波导带的偏移。因此，工作频率可以移动到表现出更多色散特性的带边缘。为了相同的目的，我们还研究了耦合谐振器光波导（CROW）结构。通过在波导通道中插入缺陷气孔，可以设计出带的形状和频率范围。通过改变波导通道中缺陷气孔的半径来分析CROW灵敏度的增加。还研究了群速度及其色散特性，并提出了其在延迟线和色散补偿器上的应用。

著录项

  • 作者

    Kim, Woo Jun.;

  • 作者单位

    University of Southern California.;

  • 授予单位 University of Southern California.;
  • 学科 Engineering Electronics and Electrical.; Engineering Materials Science.
  • 学位 Ph.D.
  • 年度 2004
  • 页码 136 p.
  • 总页数 136
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 无线电电子学、电信技术;工程材料学;
  • 关键词

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