基于波片的邦加球上任意偏振态的转换方法  

Conversion Between Arbitrary Polarization States on Poincaré Sphere based on Waveplates

作　　者：万婷[1] 罗朝明[1] 陈敏[1] 刘靖[1] WAN Ting LUO Zhaoming CHEN Min LIU Jing(College of Information and Communication Engineering, Hunan Institute of Science and Technology, Yueyang 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414006

出　　处：《湖南理工学院学报（自然科学版）》2017年第3期20-26,70,共8页Journal of Hunan Institute of Science and Technology(Natural Sciences)

基　　金：湖南省教育厅科学研究优秀青年项目(17B114);湖南省自然科学基金(2017JJ3098);湖南省科技计划项目(2016TP1021)

摘　　要：为了实现邦加球上任意偏振态之间的转换,在研究波片对偏振态影响规律的基础上,提出了一种基于波片的邦加球上任意偏振态的转换方法.通过琼斯矩阵理论研究得到了波片在邦加球上偏振态的转换规律,λ/2波片能实现邦加球同一纬度值不同半球任意两点对应偏振态的转换,从而实现邦加球上经度的调节;λ/4波片不仅能够实现邦加球上任意一点到赤道对应偏振态,还能实现赤道到0°经线上任意一点对应偏振态的转换,因而可实现纬度的调节.基于上述规律,提出了利用两个λ/2波片和两个λ/4波片实现邦加球上任意两点偏振态之间的转换方法,并给出了具体的转换思路,同时以邦加球上偏振态ζ_A(π/3,π/4)到ζ_E(π/3,π/4)的转换为例,仿真验证了这种方法的有效性.In order to implement the conversion between arbitrary polarization states on the Poincaré sphere, a conversion approach based on waveplates is proposed in view of the influence of waveplates on polarization state. The conversion laws of polarization states on the Poincaré sphere can be obtained with Jones matrix theory. It is shown that the half-wave plate can realize the conversion of arbitrary longitude on a certain fixed latitude of the two different hemispheres, thus the longitude of the Poincaré sphere can be adjusted. In addition, the quarter-wave plate can not only convert from any arbitrary point on the sphere to the equator, but convert from any point on the equator to the 0° longitude, therefore the latitude can also be adjusted. On the basis of the above laws, the conversion between arbitrary polarization states can be realized by using two half-wave plates and two quarter-wave plates. The detailed conversion procedure is given, and the conversion from the polarization state ζA（π/3,π/4） to ζE（π/3,π/4） pconfirms the validity of the conversion approach.

关 键 词：偏振态 转换方法 琼斯矩阵理论 波片 邦加球 

分 类 号：O436.3[机械工程—光学工程]