光纤F-P腔干涉纳米级位移高分辨率测量  

Fiber optic F-P cavity interferometric nanoscale displacement high resolution measurement

作　　者：史国军[1] 华震 赵忖[3] SHI Guo-jun;HUA Zhen;ZHAO Cun(School of Information&Electrical Engineering,Heilongjiang Bayi Agricultural University,Daqing 163319,China;State Grid Harbin Power Supply Company Information and Communication Branch(Data Center),Haerbin 150000,China;Department of Electrical Information Engineering,Northeast Petroleum University Qinhuangdao Campus,Qinhuangdao 066004,China)

机构地区：[1]黑龙江八一农垦大学信息与电气工程学院,黑龙江大庆163319 [2]国网哈尔滨供电公司信息通信分公司(数据中心),黑龙江哈尔滨150000 [3]东北石油大学秦皇岛校区,河北秦皇岛066004

出　　处：《激光与红外》2022年第9期1390-1394,共5页Laser & Infrared

基　　金：黑龙江省省属本科高校引导性创新基金项目(No.2019QNQ-01)资助。

摘　　要：激光抗干扰性好、复用能力强,光纤F-P腔干涉仪结构简单、灵敏度高,适于纳米级位移测量。为了进一步提高分辨率,扩展测量范围,本文对光纤F-P腔干涉信号的相位和功率进行分析。首先给出了二倍次方功率和分辨率的关系,找出了提高分辨率的途径。然后给出了二倍次方功率和干涉条纹变化的关系,确定了测量条件。最后根据光纤波在F-P腔内干涉形成的滞后相位,通过多次希尔伯特变换,实现了待测物体位移重构。数值模拟和实验证明了该方法能够实现高分辨率纳米级位移测量,误差小。Good laser anti-interference and multiplexing capability, simple structure and high sensitivity of fiber optic F-P cavity interferometer, suitable for nano-scale displacement measurement.In order to further improve the resolution and extend the measurement range, the phase and power of fiber optic F-P cavity interferometric signals are analyzed in this paper.Firstly, the relationship between the power of the quadratic power and the resolution is given, and ways to improve the resolution are identified.Then the relationship between the power of the quadratic power and the variation of the interference fringe is given, and the measurement conditions are determined.Moreover, based on the hysteresis phase formed by the interference of the fiber optic wave in the F-P cavity, a multiple Hilbert transform is used to reconstruct the displacement of the object to be measured.Finally, the displacement of the object to be measured is reconstructed by multiple Hilbert transformations based on the hysteresis phase formed by the interference of the fiber optic wave in the F-P cavity.Numerical simulations and experimental results demonstrate that the method can achieve high-resolution nanoscale displacement measurements with small errors.

关 键 词：光纤F-P干涉 纳米位移测量 二倍次方 多重希尔伯特变换 

分 类 号：TN247[电子电信—物理电子学]