基于Fibonacci序列准周期结构的小角度低通空间滤波器  

Low-pass Spatial Filters with Small Angle-domain Bandwidth Based on Fibonacci Quasi-periodic Structures

作　　者：陈敏[1] 周宏敏[1] 罗朝明[1] 万婷[1] 高明盛 CHEN Min ZHOU Hong-min LUO Zhao-ming WAN Ting GAO Ming-sheng(College of Information and Communication Engineering, Hunan Institute of Science and Technology, Yueyang, Hunan 414006, China)

机构地区：[1]湖南理工学院信息与通信工程学院,湖南岳阳414000

出　　处：《光子学报》2017年第2期189-196,共8页Acta Photonica Sinica

基　　金：国家自然科学基金(No.61205126);湖南省教育厅科学研究优秀青年项目(2017);湖南省科技计划项目(No.2016TP1021);湖南省大学生实验项目(湘教通[2016]283号)资助~~

摘　　要：利用常规材料构造了Fibonacci序列准周期结构,运用传输矩阵法研究了该结构的空间传输特性,并基于该结构优良的空间传输特性设计了小角度低通空间滤波器.数值模拟结果表明,该小角度空间滤波器的角域带宽可通过改变序列的结构类型和序列数来调谐,其调谐规律为:随着Fibonacci序列F(m,1)中m值的增加,对应空间滤波器的角域带宽减小;随着序列数的增大,对应角域带宽也减小.在调谐的基础上,还可通过改变构成准周期结构的介质折射率参量来精确调节其角域带宽.相比于基于超材料的小角度空间滤波器而言,基于Fibonacci序列的小角度空间滤波器制备更简单,且有望应用于新一代的高功率激光系统中.The quasi-periodic structures of Fibonacci sequence composed of conventional materials were proposed, and their spatial transmittance properties were investigated by using the transfer matrix method. The corresponding low-pass spatial filters with a small angle-domain bandwidth were designed based on these good spatial transmittance properties. The numerical simulation results show that, the angle-domain bandwidth can be tuned by changing the structure types and sequence numbers, and the angle-domain bandwidth of the filters becomes smaller and smaller with the increase of the sequence number or m value of Fibonacci sequence F（m, 1）. On the basis of the above regulation, the accurate adjustment can be made by changing the refractive-index parameter of the quasi-periodic structures. Compared to the former Metamaterial spatial filters with a small angle-domain bandwidth, the spatial filters based on Fibonacci quasi-periodic structures are more simple to be made and more likely to be applied to a new generation of high-power laser system.

关 键 词：信息光学 空间滤波器 传输矩阵法 FIBONACCI序列 准周期结构 小角域带宽 透射谱 

分 类 号：O431[机械工程—光学工程] O436[理学—光学]