摘要
随着密集波分复用(DWDM)技术的发展,对多波长滤波器提出了更高的要求。为了给基于一维光子晶体的多波长滤波器提供支撑技术,本文先对一维四组元周期性结构光子晶体的传输矩阵进行简要的推导。接着,从该光子晶体的结构出发,基于传输矩阵法绘制了一维四组元周期性结构光子晶体的归一化透射率曲线,并与普通的一维两组元周期性结构光子晶体的归一化透射率曲线进行对比研究,分析了一维四组元周期性结构光子晶体在一个禁带周期内光子禁带数增加的原因。进而,从一维光子晶体的光子带隙机理出发,深入研究了不同折射率比、不同周期数对一维四组元周期性结构光子晶体带隙的影响。研究表明,一维四组元周期性结构光子晶体的禁带宽度由四层材料各相邻层的折射率差共同确定,具体宽度表现为各禁带的均值,但带隙特性更加完美。
A demand for a kind of better multi-wavelength filter is put forward with the development of Dense Wavelength Division Multiplexing(DWDM).In order to open a promising way to fabricate the multi-wavelength filters,the theory of one dimensional optical transfer matrix for one-dimensional(1-D)quaternary periodic structure photonic crystals is in a brief derivation.Based on the structure of photonic crystals,the curve graph of normalized transmissivity are given and studied compared with those of 1-D photonic crystals.The reason for the increase of photonic band gap in 1-D quaternary periodic structure photonic crystals is analyzed.Then,the relationship between band gap and cladding structure parameters are explored based on the one dimension photonic band gap guiding mechanism.The result shows that the band gap width of 1-D quaternary periodic structure photonic crystals is determined by the refractive index difference of each adjacent layer of the four layers and specifically represented by the average of the forbidden bands,while the band gap characteristics are more perfect.
作者
蔡培君
廖同庆
方鸣
CAI Peijun;LIAO Tongqing;FANG Ming(Department of Science and Technology,Jianghuai College of Anhuiy University,Hefei 230039,China;School of Electronics and Information Engineering,Anhui University,Hefei 230601,China)
出处
《安庆师范大学学报（自然科学版）》
2019年第1期24-29,共6页
Journal of Anqing Normal University(Natural Science Edition)
基金
安徽省高等学校自然科学研究重点项目(KJ2017A790)
关键词
光子晶体
一维四组元周期性结构
传输矩阵
透射率
禁带
photonic crystals
1-D quaternary periodic structure
transfer-matrix
transmittance
band gap
