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To explore a new generation of ranging method suitable for industrial applications, in this paper, a spectral interferometry ranging method based on electro-optic (EO) comb is proposed. The mathematical model of EO comb and the principle of spectral expansion are analyzed in detail. Besides, the factors affecting the non-ambiguous range and resolution of the spectral interferometry method are also discussed. According to the theoretical analysis, the resolution of spectral interference ranging is mainly affected by the spectrum width of the optical frequency comb, and the non-ambiguous range is affected by the resolution of the optical spectrum analyzer (equal to the highest sampling rate of the optical spectrum analyzer). In the experiment, triple cascaded EO phase modulator is used to modulate a single frequency laser to generate more than 40 high-power sidebands. Then, the laser spectrum output from the EO modulator is expanded by single mode fiber and high nonlinearity fiber. Owing to the use of erbium doped fiber amplifier between the dispersion compensation fiber (single mode fiber) and the highly nonlinearity fiber, the polarization disturbance does not affect the spectrum width of the optical frequency comb significantly. However, the width of spectrum will be still affected by the phases of light, and the phases of light can be adjusted by the phase shifters in the front of the electro-optic modulators. Finally, the EO comb with a repetition frequency of 10 GHz and spectrum width of 30 nm is obtained. The EO comb can be used as the source of spectral interferometry scheme. Since the repetition frequency of the EO comb is high enough, which can meet the distortion-free sampling of optical spectrum analyzer. Hence, there is no “dead zone” in the measurement range. Besides, the equal frequency interval resampling algorithm and quadratic equation fitting algorithm are used in the data processing. Through the use of these algorithms, we can eliminate the measurement errors caused by non-equal frequency interval sampling of the optical spectrum analyzer and improve the ranging accuracy. The experimental results show that within the range of 1 m, the absolute ranging accuracy of 15 μm can be achieved at arbitrary position.
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Keywords:
- optical frequency comb /
- electro-optic modulation /
- spectral interferometry /
- absolute distance measurement
[1] Minoshima K, Matsumoto H 2000 Appl. Opt. 39 5512
Google Scholar
[2] Sudatham W, Matsumoto H, Takahashi S, Takamasu K 2016 Measurement 78 381
Google Scholar
[3] Kayes M I, Rochette M 2019 IEEE Photonics Technol. Lett. 31 775
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Google Scholar
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Google Scholar
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图 1 电光调制光频梳生成示意图 (PS: 移相器)
Figure 1. Schematic setup of the electro-optic (EO) comb generation (PS, phase shifter).
图 2 光谱干涉测距非模糊范围理论示意图
Figure 2. Schematic diagram of the non-ambiguous range of spectral interference ranging.
图 3 等频率间隔重采样处理示意图 (a)光谱仪等波长间隔采样得到的信号; (b)对横坐标进行波长-频率变换后的信号; (c)对横坐标进行线性坐标转换后的信号; (d)对转换后的信号进行等频率间隔重采样的结果
Figure 3. Schematic diagram of equal frequency interval resampling: (a) Signal obtained by spectrometer with equal wavelength interval sampling; (b) the signal after wavelength-frequency transformed; (c) the signal after linear coordinate transformation on the abscissa; (d) the signal after equal frequency interval resampling.
图 4 电光调制光频梳光谱干涉测距结构图(BS, 分光棱镜; EDFA, 掺铒光纤放大器)
Figure 4. Experimental setup of EO comb dispersion interferometry (BS, beam splitter; EDFA, erbium doped fiber amplifier).
图 5 电光调制光频梳光谱图 (a)电光调制器输出的光频梳光谱; (b)经过扩谱后的光频梳光谱; (c)经过带阻滤波后的光频梳光谱
Figure 5. The spectrum of EO comb: (a) The spectrum of EO comb generated by cascaded EO modulators; (b) the EO comb spectrum after spectrum expansion; (c) the EO comb spectrum after band elimination filter.
图 6 参考臂与测量臂在不同相对位置下的光谱干涉图 (a)相对位置0.3 mm; (b)相对位置0.6 mm; (c)相对位置1 mm; (d)相对位置2 mm
Figure 6. Spectral interferogram of reference arm and measuring arm at a relative position of (a) 0.3 mm, (b) 0.5 mm, (c) 1 mm, (d) 2 mm.
图 7 等频率间隔重采样数据处理过程图 (a)寻峰算法处理后的光谱干涉图; (b)横坐标转化成频率后的光谱干涉图; (c)对图(a)做傅里叶变换后的结果; (d)对图(b)做傅里叶变换后的结果
Figure 7. Data processing of equal frequency interval resampling. (a) Spectral interferogram processed by peak seeking algorithm; (b) spectrum interferogram after the abscissa is converted into frequency; (c) Fourier transform of panel (a); (d) Fourier transform of panel (b).
图 8 脉冲峰值数据二次方程拟合过程图(插图是对脉冲及拟合曲线的放大)
Figure 8. Peak position fitting according to quadratic equation. The inset is an enlargement of the pulse and the fitted curve.
图 9 一个非模糊范围内光谱干涉绝对测距实验结果
Figure 9. Experimental results of spectral interferometry in a non-ambiguous range.
图 10 跨非模糊范围光谱干涉绝对测距实验结果
Figure 10. Experimental results of spectral interferometry beyond serial non-ambiguous ranges.
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[1] Minoshima K, Matsumoto H 2000 Appl. Opt. 39 5512
Google Scholar
[2] Sudatham W, Matsumoto H, Takahashi S, Takamasu K 2016 Measurement 78 381
Google Scholar
[3] Kayes M I, Rochette M 2019 IEEE Photonics Technol. Lett. 31 775
Google Scholar
[4] Liu Y, Yang L, Guo Y, Lin J, Cui P, Zhu J 2018 Opt. Lasers Eng. 101 35
Google Scholar
[5] Coddington I, Swann W C, Nenadovic L, Newbury N R 2009 Nat. Photonics 3 351
Google Scholar
[6] Suh M G, Vahala K J 2018 Science 359 884
Google Scholar
[7] 邢书剑, 张福民, 曹士英, 王高文, 曲兴华 2013 62 170603
Google Scholar
Xing S J, Zhang F M, Cao S Y, Wang G W, Qu X H 2013 Acta Phys. Sin. 62 170603
Google Scholar
[8] Zhu Z, Xu G, Ni K, Zhou Q, Wu G 2018 Opt. Express 26 5747
Google Scholar
[9] Yang R, Pollinger F, Meiners H K, Krystek M, Tan J, Bosse H 2015 Meas. Sci. Technol. 26 084001
Google Scholar
[10] Zhao X, Qu X, Zhang F, Zhao Y, Tang G 2018 Opt. Lett. 43 807
Google Scholar
[11] 刘亭洋, 张福民, 吴翰钟, 李建双, 石永强, 曲兴华 2016 65 020601
Google Scholar
Liu T Y, Zhang F M, Wu H Z, Li J S, Shi Y Q, Qu X H 2016 Acta Phys. Sin. 65 020601
Google Scholar
[12] Joo K N, Kim S W 2006 Opt. Express 14 5954
Google Scholar
[13] van den Berg S A, van Eldik S, Bhattacharya N 2015 Sci. Rep. 5 14661
Google Scholar
[14] 崔成君, 劳达宝, 高书苑, 郝春艳, 周维虎 2016 光学精密工程 24 2561
Google Scholar
Cui C J, Lao D B, Gao S Y, Hao C Y, Zhou W H 2016 Opt. Precision Eng. 24 2561
Google Scholar
[15] 胡坤, 黎尧, 纪荣祎, 周维虎, 刘德明 2015 仪表技术与传感器 6 28
Google Scholar
Hu K, Li Y, Ji R, Zhou W, Liu D 2015 Intstrument Technique and Sensor 6 28
Google Scholar
[16] Lesundak A, Voigt D, Cip O, Van B S 2017 Opt. Express 25 32570
Google Scholar
[17] Kourogi M, Nakagawa K, Ohtsu M 1993 IEEE J. Quantum Electron. 29 2693
Google Scholar
[18] He C, Pan S, Guo R, Zhao Y, Pan M 2012 Opt. Lett. 37 3834
Google Scholar
[19] Morohashi I, Sakamoto T, Sekine N, Kasamatsu A, Hosako I 2016 Nano Commun. Netw. 10 79
Google Scholar
[20] Chen C, Zhang F, Pan S 2013 IEEE Photonics Technol. Lett. 25 2164
Google Scholar
[21] Nakajima Y, Inaba H, Hosaka K, Minoshima K, Onae A, Yasuda M, Kohno T, Kawato S, Kobayashi T, Katsuyama T, Hong F L 2010 Opt. Express 18 1667
Google Scholar
[22] Yan J, Zhang S, Xia Z, Bai M, Zheng Z 2015 Opt. Laser Technol. 72 74
Google Scholar
[23] Wu R, Supradeepa V R, Long C M, Leaird D E, Weiner A M 2010 Opt. Lett. 35 3234
Google Scholar
[24] Wu R, Torres C V, Leaird D E, Weiner A M 2013 Opt. Express 21 6045
Google Scholar
[25] Yang R, Pollinger F, Meiners H K, Tan J, Bosse H 2014 Opt. Lett. 39 5834
Google Scholar
[26] 陈嘉伟, 王金栋, 曲兴华, 张福民 2019 68 190602
Google Scholar
Chen J, Wang J, Qu X, Zhang F 2019 Acta Phys. Sin. 68 190602
Google Scholar
[27] Bonsch G, Potulski E 1998 Metrologia 35 133
Google Scholar
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