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A Six-Degree-of-Freedom (6-DOF) Simultaneous Measurement Method Using Dual-Wavelength Laser Sources for Compensation
Fei Long1, Xing Xia1, Bin Zhang1
1Key Lab of Luminescence and Optical Information, School of Physical Science and Engineering, Beijing Jiaotong University, Beijing 100044, China.
Sensors (Basel, Switzerland)
|December 11, 2025
Summary
This study introduces a novel method for precisely measuring six-dimensional (6-DOF) motion errors in linear guides. The technique enhances measurement stability and accuracy, especially over long distances, by compensating for air turbulence.
Area of Science:
- Metrology and Precision Engineering
- Optical Measurement Techniques
- Mechanical Systems Analysis
Background:
- Geometric errors in linear guides significantly impact precision equipment accuracy.
- Accurate measurement of six degrees of freedom (6-DOF) motion errors is crucial for high-end machinery.
- Air turbulence degrades measurement accuracy in long-distance straightness assessments.
Purpose of the Study:
- To develop an efficient and accurate 6-DOF simultaneous measurement method for linear guides.
- To mitigate the effects of air turbulence on straightness measurement accuracy.
- To validate the proposed method's performance against traditional techniques.
Main Methods:
- Integration of heterodyne interferometry, collimation/autocollimation, and polarization principles for 6-DOF measurement.
- Implementation of a dual-wavelength laser-based compensation method to suppress turbulence-induced beam deviation.
- Establishment of a turbulence compensation model based on a dual-wavelength proportional cancellation principle.
Main Results:
- The proposed method significantly improves straightness measurement stability by over 56% compared to the simple moving-average (SMA) filter.
- Achieved high repeatabilities for 6-DOF motion errors: 6.4 μm (positioning), 6.4/5.5 μm (straightness), 1.7″/2.1″ (yaw/pitch), and 4.3″ (roll) over a 3200 mm range.
- Effectiveness verified through COMSOL simulations and experimental studies.
Conclusions:
- The developed simultaneous 6-DOF measurement method offers high accuracy and robustness for linear guides.
- The dual-wavelength compensation effectively suppresses air turbulence, enhancing measurement reliability.
- This technique is well-suited for precise motion error assessment of long linear guides in demanding applications.

