分形光子晶体频谱的自相似特性及应用

上海大学学报(自然科学版)

分形光子晶体频谱的自相似特性及应用

肖中银，王子华，胡红虹，徐贺明

上海大学通信与信息工程学院，上海 200072

收稿日期:2007-03-14 修回日期:1900-01-01 出版日期:2007-08-20 发布日期:2007-08-20
通讯作者: 肖中银

Self-Similarity and Application of the Frequency Spectra of Fractal Cantor Photonic Crystals

XIAO Zhong-yin，WANG Zi-hua，HU Hong-hong，XU He-ming

School of Communication and Information Engineering, Shanghai University, Shanghai 200072, China

Received:2007-03-14 Revised:1900-01-01 Online:2007-08-20 Published:2007-08-20
Contact: XIAO Zhong-yin

摘要/Abstract

摘要： 研究了分形康托结构光子晶体频谱的自相似特性，用光传输矩阵方法计算光的传输和反射系数.结果表明，分形康托多层结构频谱具有明显的自相似特性，这种频谱的自相似特性是由于结构的自相似性引起的.和普通光子晶体不同的是分形光子晶体同时具有阻带和缺陷的功能，即在阻带的中间产生了缺陷模.并研究了影响阻带特性的因素及这种结构的应用.

关键词: 传输矩阵, 反射和透射系数
, 分形康托结构, 自相似特性

Abstract: Self-similarity of the frequency spectra of fractal photonic crystals is studied. The optical transmission matrix method is used to calculate transmittance and reflectance. The result shows that there is obvious self-similarity in Cantor multilayer, resulted from the structural selfsimilarity. Being different from general PBG, this structure has stopbands and is also of defect modes. Factors affecting the stopband characteristic and applications of the structure are also studied.

Key words: fractal Cantor structure, reflectance
, transmission matrix, transmittance, self-similarity

中图分类号:

O437

肖中银;王子华;胡红虹;徐贺明. 分形光子晶体频谱的自相似特性及应用[J]. 上海大学学报(自然科学版).

XIAO Zhong-yin;WANG Zi-hua;HU Hong-hong;XU He-ming. Self-Similarity and Application of the Frequency Spectra of Fractal Cantor Photonic Crystals [J]. Journal of Shanghai University（Natural Science Edition）.