用遗传算法搜索一维光子晶体带隙  

Genetic algorithm searching of one-dimensional photonic crystal with broad band gap based on pixel-filled-in method*

作　　者：陈秋灵[1] 徐江峰[2] 

机构地区：[1]上海理工大学光学与电子信息工程学院,上海200093 [2]中国计量学院信息工程学院,浙江杭州310018

出　　处：《中国计量学院学报》2007年第1期70-74,共5页Journal of China Jiliang University

基　　金：浙江省自然科学基金资助项目(No.M603033)

摘　　要：利用遗传算法和传输矩阵法计算一维光子晶体能带结构,将一维光子晶体用像素填充法进行二进制编码模拟,结果找到全方位相对禁带宽度达42.54%的4层结构和43.75%的2层结构;给出了一维光子晶体4层最佳结构的能带图、20个原胞的反射率透射率频谱图.发现一维2层光子晶体的全方位禁带宽度对每层厚度的变化是不敏感的,但是随着两种介质折射率差的增大而增大.A genetic algorithm （GA） approach and an eigen matrix method are used to search a one-dimensional （1D） photonic crystal of linear lattice with a maximal absolute band gap. The unit cell is derided equally into many thin films, and each filling pattern of films with two dielectric materials corresponds to a binary number. As a numerical example, the GA gives a 1D 4-thick-film structure with a relative width of the absolute band gap of about 42.54%, and 1D 2-thick-film structure about 43. 75%. This paper gives the diagram of energy band, spectrograms of reflectivity and transmissivity in 20 cells. It is discovered that the absolute relative band gap of 2-thick-film cells is not sensitive to the thickness of each thick film, but that increases with the increase of the difference of two dielectric materials with different refractions.

关 键 词：光子晶体 光子能带 遗传算法 传输矩阵法 像素填充法 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程] O484[自动化与计算机技术—控制科学与工程]