1. School of Automation,Beijing Information Science and Technology University,Beijing 100192,China
2. School of Information and Electronics,Beijing Institute of Technology,Beijing 100081,China
Abstract The mathematical model of the fringe pattern obtained by Michelson interferometric measurement of wavelength is established, its linear frequency modulation signal (chirp signal) characteristics are revealed, and Michelsonss interferometric fringe processing based on the fractional Fourier transform signal processing method is proposed to realize the laser wavelength measurement. The experimental results show that the proposed wavelength measurement method is feasible. The average relative error of wavelength measurement is about 0.39% for lasers in the wavelength range of 400nm to 635nm. The average relative error in wavelength measurement is still less than 1% when the interferogram is contaminated by Gaussian white noise.
JIANG Sheng,WU Jin-min,LU Ming-feng, et al. Wavelength Measurement by Michelson Interferometry Based on Fractional Fourier Transform Signal Processing[J]. Acta Metrologica Sinica, 2023, 44(11): 1652-1658.
Gu Q T, Wang X Y, An B L, et al. Influence of Sample Temperature Field of Double Infrared Laser Temperature Calibration Source on Measurement Results ［J］. Acta Metrologica Sinica, 2023, 44 (5): 722-728.
［5］
Stern B, Kim K, Gariah H, et al. Athermal silicon photonic wavemeter for broadband and high-accuracy wavelength measurements ［J］. Optics Express, 2021, 29 (19): 29946-29959.
［20］
Ikram M, Hussain G. Michelson interferometer for precision angle measurement ［J］. Applied Optics, 1999, 38 (1): 113-120.
Huang C, Zhang S Z, Wang J, et al. Review of Laser Frequency Stabilization Technology in Atmospheric Detection Lidar ［J］. Acta Metrologica Sinica, 2023, 44 (2): 186-194.
lvarez-Tamayo R I, Prieto-Corts P, Durn-Snchez M, et al. Laser Wavelength Estimation Method Based on a High-Birefringence Fiber Loop Mirror ［J］. Photonic Sensors, 2019, 9: 89-96.
［10］
Thattey S S, Dongare A S, Dasgupta K, et al. A wavemeter for measuring changes in wavelength of pulsed dye lasers ［J］. Review of Scientific Instruments, 1994, 65 (8): 2470-2474.
Zhou P, Sun W, Liang S, et al. Digital long-term laser frequency stabilization with an optical frequency comb ［J］. Applied Optics, 2021, 60 (21): 6097-6102.
Gray D F, Smith K A, Dunning F B. Simple compact Fizeau wavemeter ［J］. Applied Optics, 1986, 25 (8): 1339-1343.
Ma Z Y, Chen L, Zheng D H, et al. System error calibration for 300mm vertical Fizeau interferometer based on liquid reference ［J］. Infrared and Laser Engineering, 2022, 51 (2): 448-457.
Sun Q Y, Chen L, Zheng D H, et al. Dynamic Fizeau interferometer using low-coherence light source ［J］. Infrared and Laser Engineering, 2018, 47 (2): 211-217.
［16］
Yan L, Chen B, Yang W, et al. A novel laser wavelength meter based on the measurement of synthetic wavelength ［J］. Review of Scientific Instruments, 2010, 81 (11): 115104.
Braun M, Maier J, Liening H. A high precision compact Michelson-Sagnac wavemeter ［J］. Journal of Physics E: Scientific Instruments, 1987, 20 (10): 1247-1249.
Hu Y, Li T F, Hao Q, et al. Vertex radius of curvature fabrication error measurement of aspheric surface in partial compensation interferometry ［J］. Acta Metrologica Sinica, 2020, 41 (8): 903-908.
Shen F H, Xu J Y, Fan A D, et al. Based on the double Fabry-Perot interferometer ［J］. Infrared and Laser Engineering, 2003, 52 (7): 189-198.
［22］
Castell R, Demtrder W, Fischer A, et al. The accuracy of laser wavelength meters ［J］. Applied Physics B, 1985, 38: 1-10.
［7］
Kai L, Cheng M, Sun J. Minute Wavelength shift detection of actively mode-locked fiber laser based on stimulated Brillouin scattering Effect ［J］. Journal of Lightwave Technology, 2021, 39 (13): 4447-4452.
［9］
Mohagheghian M, Sabouri S G. Laser wavelength measurement based on a digital micromirror device ［J］. IEEE Photonics Technology Letters, 2018, 30 (13): 1186-1189.
Wu J L, Fang B, Li J M, et al. Research on precision measurement technology of terahertz wavelength based on interferometry ［J］. Acta Metrologica Sinica, 2022, 43 (9): 1147-1153.
Cui F P, Jiang Y F, Pei S X. Design and implementation of wavelength meter based on michelson interferometer ［J］. Experiment Science and Technology, 2022, 20 (1): 22-27.
Ren D M, Zhu Z Y, Duan X Y, et al. A Displacement Measurement Method Based on Fabry-Perot Interferometry ［J］. Metrology & Measurement Technology, 2018, 38 (4): 26-29.
［17］
Ikram M, Hussain G. Michelson interferometer for precision angle measurement ［J］. Applied Optics, 1999, 38 (1): 113-120.
Wang D, Cui J J, Zhang F M, et al. Review of Michelson Laser Interferometer for Micro Displacement Measurement［J］. Acta Metrologica Sinica, 2021, 42(1): 1-8.
［23］
Bennett S J, Gill P. A digital interferometer for wavelength measurement ［J］. Journal of Physics E: Scientific Instruments, 1980, 13 (2): 174-177.
［24］
Lu M F, Zhang F, Tao R, et al. Parameter estimation of optical fringes with quadratic phase using the fractional Fourier transform ［J］. Optics and Lasers in Engineering, 2015, 74: 1-16.
2023, Vol. 44 
