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Updated: Jun 23, 2025

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Published on: February 6, 2014
Impact of Cyclic Error on Absolute Distance Measurement Based on Optical Frequency Combs
Runmin Li1, Haochen Tian2,3, Junkai Shi1
1Optoelectronic Technology Center, Institute of Microelectronics of the Chinese Academy of Sciences, Beijing 100029, China.
Cyclic error impacts absolute distance measurements using optical frequency combs (OFCs). Selecting a suitable reference path length minimizes this error in interferometry, enhancing measurement linearity.
Area of Science:
- Metrology
- Optical Engineering
- Precision Measurement
Background:
- Optical frequency combs (OFCs) enable high-precision absolute distance measurements with large non-ambiguity range (NAR) and high update rates.
- Cyclic error is a significant challenge in OFC-based measurements, compromising linearity and accuracy.
Purpose of the Study:
- To quantitatively investigate the impact of cyclic error on absolute distance measurements using OFCs.
- To explore strategies for mitigating cyclic error in synthetic wavelength interferometry and single-wavelength interferometry.
Main Methods:
- Numerical calculations were performed to analyze cyclic error effects.
- Two interferometric techniques were combined: synthetic wavelength interferometry and single-wavelength interferometry.
- The influence of reference path length and synthetic wavelength selection was evaluated.
Main Results:
- A suitable reference path length was identified as a key factor in minimizing cyclic error when combining interferometric methods.
- Recommendations for selecting synthetic wavelengths were provided to balance NAR and error mitigation.
- The study quantifies the impact of cyclic error, offering insights into its reduction.
Conclusions:
- Optimizing reference path length and synthetic wavelength selection is crucial for accurate OFC-based absolute distance measurements.
- The findings are applicable to various OFC applications, including surface profiling and vibration analysis.
- This research provides practical guidance for improving the linearity and reliability of distance measurements.
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