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The temperature error caused by the essential loss and the additional loss of Stokes light and anti-Stokes light widely exist in the distributed optical fiber temperature sensor (DTS). According to the temperature demodulation principle of the DTS, a method of fitting the attenuation difference between Stokes light and anti-Stokes light is proposed, which can realize the temperature self-compensation to reduce the temperature measurement error. Two parts at the different positions of the sensing fiber are regarded as the reference section and the temperature measuring section, respectively. The optical signal of the reference section is used as a parameter when demodulating the temperature and fitting the attenuation difference, and the attenuation difference between the Stokes light and the anti-Stokes light is multi-order fitted by the optical signal of the temperature measuring section, then the multi-order fitting results are used to demodulate the temperature for reducing the temperature error caused by the essential loss and additional loss of the Stokes light and anti-Stokes light, in order to implement the preliminary correction of the temperature. Three groups of the different measuring temperature values at the same position of the optical fiber as well as their corresponding signal values are taken in calculation for eliminating the Rayleigh noise, and the relationship of Rayleigh noise with fiber length and temperature are analyzed, and thus further calculating the Rayleigh noise based on the fitting attenuation difference. The influence of the multi-order attenuation difference on the error in temperature measurement and that on the elimination of the Rayleigh noise are compared with each other, and the Rayleigh noise error caused by the essential loss and additional loss of the Stokes light and anti-Stokes light are reduced, then the temperature is corrected again by eliminating the Rayleigh noise. The effect of the multi-order attenuation difference fitting result on the temperature measurement error and on the elimination of Rayleigh noise are analyzed and compared with each other, then the optimal fitting order is obtained. After fitting the additional error at the temperature measurement section that is caused by the additional loss at the reference section, the temperature compensation is carried out by the fitting result, then the final temperature correction is completed. The experimental results show that the temperature correction effect is best by using the first-order linear fitting results in a temperature range of 30-90 ℃, and the temperature measurement error is reduced from 10.50 ℃ to 0.90 ℃ after being corrected three times.
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Keywords:
- temperature /
- distributed fiber /
- attenuation difference /
- self-compensation
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图 3 实验结果 (a) 20 ℃时光纤中的散射光信号; (b) 温度变化时的散射光信号; (c) Δα ≈ 0时的温度解调结果; (d)衰减差拟合结果
Figure 3. Experimental results: (a) Scattered light signal in fiber at 20 ℃; (b) scattered light signal when temperature changes; (c) temperature demodulation results of Δα
≈ 0; (d) fitting results of attenuation difference. 图 5 温度最终修正后的测量结果 (a) 40 ℃和60 ℃时光纤中的瑞利噪声; (b)不同温度下的瑞利噪声; (c)引入Δα前后消除瑞利噪声的测量结果; (d)引入Δα前后消除瑞利噪声的温度误差
Figure 5. Temperature corrected final measurement results: (a) Rayleigh noise in fiber at 40 ℃ and 60 ℃; (b) rayleigh noise at different temperatures; (c) measurement results without Rayleigh noise before and after the introduction of Δα; (d) temperature error without Rayleigh noise before and after the introduction of Δα.
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[1] Geng J S, Sun Q, Zhang Y C, Gong W Y, Du S 2018 J. Loss Prevent. Proc. 55 144
Google Scholar
[2] O'Keefe J M K, Neace E R, Hammond M L, Hower J C, Engle M A, East J, Geboy N J, Olea R A, Henke K R, Copley G C, Lemley E, Nally R S H, Hansen A E, Richardson A R, Satterwhite A B, Stracher G B, Radke L F, Smeltzer C, Romanek C, Blake D R, Schroeder P A, Emsbo-Mattingly S D, Stout S A 2018 Int. J. Coal Geol. 195 304
Google Scholar
[3] Dunnington L, Nakagawa M 2017 Environ. Pollut. 229 139
Google Scholar
[4] Mohalik N K, Lester E, Lowndes I S, Singh V K 2016 Carbon Manag. 7 317
Google Scholar
[5] Yan W J, Hu M, Liang J R, Wang D F, Wei Y L, Qin Y X 2016 Chin. Phys. B 25 040702
Google Scholar
[6] Wang Z L, Zhang S S, Chang J, Lü G P, Wang W J, Jiang S, Liu X Z, Liu X H, Luo S, Liu Y N 2014 Optik 125 1821
Google Scholar
[7] 刘铁根, 于哲, 江俊峰, 刘琨, 张学智, 丁振扬, 王双, 胡浩丰, 韩群, 张红霞, 李志宏 2017 物理学报 66 070705
Google Scholar
Liu T G, Yu Z, Jiang J F, Liu K, Zhang X Z, Ding Z Y, Wang S, Hu H F, Han Q, Zhang H X, Li Z H 2017 Acta Phys. Sin. 66 070705
Google Scholar
[8] 孙琪真, 刘德明, 王健 2007 物理学报 56 5903
Google Scholar
Sun Q Z, Liu D M, Wang J 2007 Acta Phys. Sin. 56 5903
Google Scholar
[9] 饶云江 2017 物理学报 66 074207
Google Scholar
Rao Y J 2017 Acta Phys. Sin. 66 074207
Google Scholar
[10] Wen S Z, Xiong W C, Huang L P, Wang Z R, Zhang X B, He Z H 2018 Chin. Phys. B 27 090701
Google Scholar
[11] Bolognini G, Hartog A 2013 Opt. Fiber Technol. 19 678
Google Scholar
[12] 王剑锋, 刘红林, 张淑琴, 余向东, 孙忠周, 金尚忠, 张在宣 2013 光谱学与光谱分析 33 865
Google Scholar
Wang J F, Liu H L, Zhang S Q, Yu X D, Sun Z Z, Jin S Z, Zhang Z X 2013 Spectrosc. Spect. Anal. 33 865
Google Scholar
[13] 余向东, 张在宣, 祝海忠, 金尚忠, 刘红林, 王剑锋 2011 光子学报 40 1870
Google Scholar
Yu X D, Zhang Z X, Zhu H Z, Jin S Z, Liu H L, Wang J F 2011 Acta. Photon. Sin. 40 1870
Google Scholar
[14] He H L, Dyck M F, Horton R, Li M, Jin H J, Si B C 2018 Adv. Agron. 148 173
Google Scholar
[15] Chai Q, Luo Y, Ren J, Zhang J Z, Yang J, Yuan L B, Peng G D 2019 Opt. Eng. 58 072007
[16] 孙苗, 汤玉泉, 杨爽, 李俊, Culshaw B, 董凤忠 2015 光电子·激光 26 2070
Sun M, Tang Y Q, Yang S, Li J, Culshaw B, Dong F Z 2015 J. Optoelectron. Laser 26 2070
[17] Cao Y L, Yang F, Xu D, Ye Q, Cai H W, Fang Z J 2016 Chin. Phys. Lett. 33 050701
Google Scholar
[18] Yang C, Wang M, Tang M, Wu H, Zhao C, Liu T Q, Fu S N, Tong W J 2018 Appl. Opt. 57 6923
Google Scholar
[19] Shang C, Wu C Q, Li Z Y, Yang S S 2011 Chin. Phys. Lett. 28 094212
Google Scholar
[20] Liu Y P, Ma L, Yang C, Tong W J, He Z Y 2018 Opt. Express 26 20562
Google Scholar
[21] Hwang D, Yoon D J, Kwon I B, Seo D C, Chung Y J 2010 Opt. Express 18 9747
Google Scholar
[22] Suh K, Lee C 2008 Opt. Lett. 33 1845
Google Scholar
[23] Wang Z L, Zhang S S, Chang J, Lü P G, Wang W J, Jiang S, Liu X Z, Liu X H, Luo S, Sun B N, Liu Y N 2013 Opt. Quant. Electron. 45 1087
Google Scholar
[24] van de Giesen N, Steele-Dunne S C, Jansen J, Hoes O, Hausner M B, Tyler S, Selker J 2012 Sensors 12 5471
Google Scholar
[25] 汤玉泉, 孙苗, 李俊, 杨爽, Culshaw B, 董凤忠 2015 光子学报 44 0506006
Google Scholar
Tang Y Q, Sun M, Li J, Yang S, Culshaw B, Dong F Z 2015 Acta. Photon. Sin. 44 0506006
Google Scholar
[26] Sun B N, Chang J, Lian J, Wang Z L, Lü G P, Liu X Z, Wang W J, Zhou S, Wei W, Jiang S, Liu Y N, Luo S, Liu X H, Liu Z, ZhangS S 2013 Opt. Commun. 306 117
Google Scholar
[27] Yin Y X, Wu Z F, Sun S W, Tian L, Wang X B, Wu Y D, Zhang D M 2019 Chin. Phys. B 28 074202
Google Scholar
[28] 汤玉泉, 孙苗, 李俊, 杨爽, Culshaw B, 董凤忠 2015 光电子·激光 26 847
Tang Y Q, Sun M, Li J, Yang S, Culshaw B, Dong F Z 2015 J. Optoelectron. Laser 26 847
[29] Wang Z L, Chang J, Zhang S S, Luo S, Jia C W, Jiang S, Sun B N, Liu Y N, Wei W, Liu X H, Lü G P 2015 Optik 126 270
Google Scholar
[30] 柴敬 2003 博士学位论文 (西安: 西安科技大学)
Chai J 2003 Ph. D. Dissertation (Xi’an: Xi’an University of Science and Technology) (in Chinese)
[31] Lin Q, Yaman F, Agrawal G P 2007 Phys. Rev. A 75 023803
Google Scholar
[32] Wang Z L, Chang J, Zhang S S, Sun B N, Jiang S, Luo S, Jia C W, Liu Y N, Liu X H, Lü G P, Liu X Z 2014 Opt. Quant. Electron. 46 821
Google Scholar
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