利用转移矩阵法和频域块迭代法分析点缺陷二维光子晶体  

Analyzing Point Defect Two-dimensional Photonic Crystals with Transfer Matrix and Block-iterativeFrequency-domain Method

作　　者：林芳蕾[1] 仇高新[1] 李永平[1,2] 李永平 

机构地区：[1]中国科学技术大学物理系,合肥230026 [2]中国科学技术大学结构分析开放实验室,合肥230026

出　　处：《量子电子学报》2003年第1期35-41,共7页Chinese Journal of Quantum Electronics

摘　　要：本文介绍了广泛用于分析光子晶体的两种方法:转移矩阵法和频域块迭代法。运用这两种方法,我们研究了一个5行5列在空气中呈正方排列的二维介质柱晶体,改变中心介质柱的半径和介电常数,分别得到各自对应不同的透射和色散关系曲线。对于同一参数结构的光子晶体,不同算法得到的带隙和缺陷态频率是一致的。同时根据透射和色散曲线所体现出来的晶体特性,我们分析了将光子晶体用作激光谐振腔以提高Q值的机理。The basis of two algorithms-transfer matrix method and block-iterative frequency-domain method are introduced to calculate two-dimensional (2D) photonic crystal. The computational domain is a 2D structure of square lattice that contains 5×5 dielectric rods in air. By changing the size of the radius of the central rod, we get their transmission and dispersion relationship. To the point-defect 2D photonic crystals, the two kinds of curves consist of the same photonic band gaps and defect states and embody the characteristics of photonic crystal from different aspects. Because of the difference of the central rod radius, different band gap range and different defect state frequencies are acquired. In our article, according to the transmission and dispersion curves of the different parameters, we analyze the practicability of using point-defect photonic crystal as laser resonant cavity. It is found the defect structure has the function of canceling the lowest-order mode by changing central dielectric rod size and dielectric constant, independent of the other modes. A large fraction of radiated power is concentrated in the lowest-order mode, canceling the lowest-order mode can reduce energy radiation and lead to improve quality factor.

关 键 词：点缺陷 光子晶体 光子带隙 转移矩阵 频域块迭代 色散 透射 

分 类 号：O771[理学—晶体学] TN256[电子电信—物理电子学]