Signal processing method for displacement measurement interferometry using vortex beams

Hao-jie XIA; Rong-rui GU; Cheng-liang PAN; Hui-ning ZHAO

doi:10.37188/OPE.20202809.1905

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Signal processing method for displacement measurement interferometry using vortex beams

Modern Applied Optics | 更新时间：2020-09-28

- Signal processing method for displacement measurement interferometry using vortex beams
- Optics and Precision Engineering Vol. 28, Issue 9, Pages: 1905-1912(2020)
- 作者机构：
  
  合肥工业大学仪器科学与光电工程学院, 安徽合肥 230009
- 作者简介：
- 基金信息：
- DOI：10.37188/OPE.20202809.1905
  CLC： TH711;TN249
- Received：16 June 2020，
  
  Revised：24 June 2020，
  
  Accepted：24 June 2020，
  
  Published：25 September 2020
- 稿件说明：
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Hao-jie XIA, Rong-rui GU, Cheng-liang PAN, et al. Signal processing method for displacement measurement interferometry using vortex beams[J]. Optics and precision engineering, 2020, 28(9): 1905-1912.
DOI：

Hao-jie XIA, Rong-rui GU, Cheng-liang PAN, et al. Signal processing method for displacement measurement interferometry using vortex beams[J]. Optics and precision engineering, 2020, 28(9): 1905-1912. DOI： 10.37188/OPE.20202809.1905.

摘要

激光干涉测量技术作为超精密测量的重要手段，为实现亚纳米级测量分辨力，通常对干涉周期信号进行数百倍甚至上千倍的插值细分，引入分辨力有效性问题。本文基于涡旋光束的螺旋相位特性，搭建高精度共轭涡旋光干涉位移测量结构，将被测直线位移量与干涉图案绕中心旋转角度建立线性传感关系。信号采集与处理中基于干涉信号特点，结合高速光电探测器进行干涉图案周期计数与相机进行低速干涉图案图像细分，对干涉图案自身进行空间等角度细分，有效降低后继周期信号的细分倍数并提高测量分辨力可靠性，以保证涡旋光干涉信号实时处理系统的亚纳米量级测量精度。搭建涡旋光束拓扑荷数为4的干涉测量实验测试系统，理论上干涉图案旋转1°对应的被测位移量为0.88 nm，设计基于LabVIEW的信号实时采集和处理系统并进行测量分辨力测试与误差分析，在实验室条件下分辨力优于0.5 nm。

Abstract

Interferometry is an important method to realize high-precision measurements. The key requirement for achieving sub-nanometer resolutions is the interpolation and subdivision of periodic interference signals for hundreds or even thousands of times

through which the problem of resolution effectiveness is introduced. Based on the spiral phase property of the Laguerre-Gauss beam

modified high-precision interferometry was conducted using conjugate vortex beams. The measured linear displacement was linearly converted to the rotation of uniformly arranged petal-like interferograms. Regarding signal processing

to improve the measurement reliability

the multiple of the subsequent signal subdivision is effectively reduced via the subdivision of the spatial angles in interferograms. A high-speed photoelectric detection circuit and low-speed image processing were combined and separately used to count the number of integer cycles and image subdivisions to measure the rotation angle. The experimental test system was constructed using conjugate vortex beams with a topological charge value of 4

and 1°rotation of the interferogram corresponded to a theoretically measured displacement of 0.88 nm. The results of the experiment

which employed a real-time signal acquisition and processing system based on LabVIEW and error analysis

demonstrates that the resolution is better than 0.5 nm under normal laboratory conditions.

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references

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