Yasumoto Kiyotoshi, Jandieri Vakhtang, Liu Yunfei
College of Information Science and Technology, Nanjing Forestry University, Nanjing 210037, China.
J Opt Soc Am A Opt Image Sci Vis. 2013 Jan 1;30(1):96-101. doi: 10.1364/JOSAA.30.000096.
A self-contained coupled-mode formulation for coupled two-dimensional photonic-crystal waveguides (PCWs) is discussed. Using a perturbation theory, the first-order coupled-mode equations are systematically derived, which govern the evolution of the modal amplitude of individual PCWs in isolation. The coupled-mode equations are used to analyze the coupled symmetric PCWs consisting of a square lattice of circular dielectric rods or air holes. It is shown that the results are in good agreement with those obtained by the rigorous direct analysis of the coupled waveguide system.
讨论了一种用于耦合二维光子晶体波导(PCW)的自洽耦合模公式。利用微扰理论,系统地推导了一阶耦合模方程,该方程单独控制各个PCW的模式振幅的演化。耦合模方程用于分析由圆形介质棒或气孔的方形晶格组成的耦合对称PCW。结果表明,这些结果与通过对耦合波导系统进行严格直接分析所得到的结果非常吻合。