一维光子晶体光学传输特性及带隙变化规律的理论研究.doc

山东理工大学 毕业设计（论文） 一维光子晶体传输特性的理论研究 学 院：理学院 专 业：物理学 学生姓名：张国辉 指导教师：高金霞 毕业设计（论文）时间：二О一一 年 3月 21日～ 6 月 18 日 共 12 周摘要 本论文的主要内容如下： 简单阐述了光子晶体的概念，主要特征、应用、发展状况、及制作方法。从麦克斯韦方程组出发，推导了光在光子晶体中传播的基本微分方程和一维光学传输矩阵理论。根据传输矩阵法，计算了一维光子晶体的带隙结构及传输特性。利用此种方法进行了模拟计算，得到如下结论：当光子晶体周期数达到一定数值时出现光子禁带。随着周期数的进一步增加，带隙宽度会有较为明显的增加，达到某一峰值增加幅度逐渐减小。而带隙中心波长位置基本不变。在相同的周期数情况下，一维光子晶体高低折射率比大者其带隙宽度较大。无论对于TM波还是TE波，光子禁带都随入射角度的增大向短波长方向移动。但TE波入射，光子禁带宽度随入射角度的增加而增大。而TM波入射，光子禁带宽度随入射角度的增加而减小。还发现缺陷模的厚度对透射峰值具有明显的调节作用，透射峰值会随着厚度的增加而增大，当达到峰值后透射率便随厚度逐渐降低。并且随着缺陷层折射率的增加，缺陷模的中心波长位置也向低频方向移动，同时透射峰值逐渐增大。 关键词：一维光子晶体；带隙宽度；传输矩阵法 Abstract The summary of the dissertation is as follows: We set forth the conception、primary characteristic、applications、 development and the general manufacture method of photonic crystal in brief. We derived the basic differential equation of light spreading in photonic crystal and the theory of one-dimensional optical transfer matrix from the Maxwell`s equation. According to the transfer matrix method, we calculating the one-dimensional photonic crystal band structure and transmission characteristics . Using this method to simulate calculation, Get a conclusion that: There will be a photonic band gap, when the photonic crystal cycle number reaches a certain value. With further increase in the number of periods, there will be more obvious increases reaching to a peak. Then the rate of increase gradually decreased . And the band gap center wavelength position remains unchanged .With the same cycle number, one-dimensional photonic crystal whose scale of high-low index is larger. Regardless of the TM wave or TE wave, photonic band gap move to the short wavelength direction with the increasing incident angle .When the TE wave incident photonic crystals, photonic band gap will be wider with incident angle increasing. When the TM wave incident photonic crystals, photonic forbidden band will be wider with the incident angle increasing. Found that the thickness of the transmission defect mode peak has