Guided Waves in a Photonic Bandgap Structure with a Line Defect
Guided Waves in a Photonic Bandgap Structure with a Line Defect
复制标题
具有线缺陷的光子带隙结构中的导波
DOI：
--
复制
发表时间：
2004
影响因子：
1.9
通讯作者：
H. Ammari
中科院分区：
文献类型：
--
作者：
F. Santosa;H. Ammari
数值模拟表明，在光子带隙结构中引入缺陷线时，波可以沿着缺陷线被引导。据推测，导致这种引导现象的机制是缺陷在带隙中引入了一个谱。这项工作的目的是为理解这一现象提供一个数学框架。我们证明了标量波动方程的解存在于类似导模的线缺陷附近。此外，这些解可以用一个连续的频谱来参数化，这个频谱可以覆盖部分原始带隙。导模的频率取决于波数参数，可以解释为色散关系。我们用一个数值例子来说明研究的主要发现。
Numerical simulations have shown that when a line of defects is introduced into a photonic bandgap structure, waves can be guided along the line. It has been conjectured that the mechanism responsible for the guidance phenomenon is the introduction of a spectrum in the bandgap by the defect. The purpose of this work is to give a mathematical framework for understanding this phenomenon. We show that there exist solutions of the scalar wave equation that is localized near the line defects that behave like guided modes. Moreover, these solutions can be parameterized by a frequency spectrum that is continuous and can cover parts of the original bandgap. The frequency of the guided modes depends on a wave number parameter and can be interpreted as a dispersion relation. We illustrate the main findings of the investigation in a numerical example.