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本文提出了一种应用于光纤延时系统中实现光纤延时精密测量的新方法, 用以提高光纤延时测量的精度和准确性. 该方法以1064 nm激光调制信号作为光源, 通过测量回波信号的幅值和相位信息得到被测通道的频率响应, 采用快速傅里叶逆变换得到被测目标的延时信息, 实现光纤延时测量. 本文通过理论分析和延时测量实验对频域反射法与传统的时域测量方法进行对比, 使用频域反射法在调制频率范围10—200 MHz, 采样频率间隔0.5 MHz的实验条件下, 实现了3.3 ps延时测量分辨率, 并证明了该方法具有比时域方法更高的测量精度, 测量结果的准确性更好.Optical fiber time delay system has been widely used in optical-controlled phased array antenna, radar distributed network, interferometric optical fiber hydrophone and high-speed photoelectric chip. These applications require high-accuracy and high-stability time delay generated by the system. Time delay measurement directly determines the precision and resolution of the system. Therefore, high-precision time delay measurement method is of great significance in developing the optical fiber delay system. In this paper, progress and problems of optical fiber time delay measurements are discussed. A new method of precisely measuring the time delay in optical fiber is proposed. We use the frequency domain reflectometry (FDR) to avoid the discrepancy between measuring range and measuring precision, which exists in both time-of-flight (TOF) method and phase discrimination approach. An intensity modulated 1064 nm laser signal is used as a light source. The modulation frequency is tuned from 10 MHz to 200 MHz in steps of 0.5 MHz. The spectrum of echo signal is obtained by measuring the amplitudes and phases of echo signals at different frequency points. The delay information is obtained via the inverse fast Fourier transform (IFFT). The precision of delay measurement in our method is determined by step size of frequency variation, and a higher-precision measurement is realized by using interpolation zero algorithm. Since our method is not to modulate the optical frequency, but to control the frequency of the modulation signal loaded on the electro-optic modulator, it is easy to achieve the high-precision and high-linearity frequency modulation. In this paper, theoretical analysis and time delay measurement are used to compare the FDR method with conventional TOF measurement method. The accurate measurement of 33–200 ps is realized, and measurement error is lower than 7 ps. We also design an incremental measurement experiment to study the resolution of the FDR method, which achieves a delay resolution of 3.3 ps. The influence of temperature jitter is analyzed to prove the reliability of experimental results. It proves that the FDR method has a higher measuring accuracy than the TOF method. The time delay measurement precision can be further improved by expanding the modulation bandwidth. Our method is to be applied to an optical fiber delay system to improve the precision and resolution of system delay.
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Keywords:
- frequency domain reflectometry /
- optical delay /
- spectral analysis /
- precision measurement
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图 1 频域反射法测量光纤延时原理图
Fig. 1. Schematic diagram of optical fiber delay measurement by frequency domain reflectometry.
图 3 频域反射法测量光纤延时实验流程图
Fig. 3. Experiment of optical fiber delay measurement by frequency domain reflection method.
图 4 103.31 m光纤延时测量 (a)探测器接收到的频域信号; (b)直接IFFT变换得到的时域测量信号; (c) m = 10M, 补零IFFT变换得到的时域测量信号
Fig. 4. Optical fiber delay measurement of 103.31 m optical fiber: (a) Frequency domain signal; (b) time-domain measurement signals obtained by IFFT transformation; (c) time domain measurement signal obtained by zero-padding IFFT transformation when m = 10M.
图 5 频域反射法距离精度测试实验示意图
Fig. 5. Experiment of range accuracy measurement by frequency domain reflection method.
图 6 频域反射法与相位法对参考延时测量结果的比较
Fig. 6. Comparison of measurement results between frequency domain reflection method and phase measuring profilometry.
图 7 频域反射法最小可分辨延时增量的测量, m = 400M, 测量精度6.6 ps; m = 800M, 测量精度3.3 ps; m = 1600M, 测量精度1.6 ps
Fig. 7. Measurement results of minimum discernible delay increment by frequency domain reflection method, m = 400M, measurement accuracy 6.6 ps; m = 800M, measurement accuracy 3.3 ps; m = 1600M, measurement accuracy 1.6 ps.
表 1 光纤延时测量结果(单位为ns)
Table 1. Measurement results of optical fiber delay (in ns).
Measurement method Optical fiber 1 Optical fiber 2 Optical fiber 3 Optical fiber 4 Time discrimination 64.5 128.6 256.7 516.6 Phase measuring profilometry 66.0 127.9 261.6 512.7 Frequency domain reflection 64.5 128.7 256.8 516.3 
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[1] 李炎炎, 高彦泽, 李卓, 杨苏辉, 王欣, 张金英 2019 光学学报 39 0806002
Google Scholar
Li Y Y, Gao Y Z, Li Z, Yang S H, Wang X, Zhang J Y 2019 Acta Opt. Sin. 39 0806002
Google Scholar
[2] 陆强, 张伟, 林荣刚 2012 电子设计工程 20 160
Google Scholar
Lu Q, Zhang W, Lin R G 2012 Elec. Des. Eng. 20 160
Google Scholar
[3] 何子述, 金林, 韩蕴洁, 严济鸿 2005 电子学报 33 12
Google Scholar
He Z S, Jin L, Han Y J, Yan J H 2005 Acta Electr. Sin. 33 12
Google Scholar
[4] Gao Y Z, Zhou L, Wang X, Yan H, Hao K Z, Yang S H, Li Z 2019 IEEE Access 7 93489
Google Scholar
[5] Wang X C, Li S P, Jiang X, Hu J T, Xue M, Xu S Z, Pan S L 2019 Chin. Opt. Lett. 17 060601
Google Scholar
[6] 陈瑞强, 江月松, 裴朝 2013 光学学报 33 0912002
Google Scholar
Chen R Q, Jiang Y S, Pei Z 2013 Acta Opt. Sin. 33 0912002
Google Scholar
[7] Prokhorov D, Donchenko S S, Kolmogorov O V, Сhemesova E V 2019 SPIE Optical Metrology, Munich, Germany 2019 p1105714
[8] Cui M, Zeitouny M G, Bhattacharya N 2009 Opt. Lett. 34 1982
Google Scholar
[9] Joo K N, Kim S W 2006 Opt. Express 14 5954
Google Scholar
[10] 冀航 2007 博士学位论文 (武汉: 华中科技大学)
Ji H 2007 Ph. D. Dissertation (Wuhan: Huazhong University of Science and Technology) (in Chinese)
[11] Huang X X, Yin F F, Li J Q, Dai Y T, Zhou Y, Xu K 2018 IEEE 3rd Optoelectronics Global Conference (OGC) 2018 p130
[12] 汪友生, 徐小平 2003 北京工业大学学报 29 424
Google Scholar
Wang Y S, Xu X P 2003 J. Beij. Univ. Tech. 29 424
Google Scholar
[13] Ma X W, Ma C, Xin M 2015 Elec. Qual. 3 38
Google Scholar
[14] Eickhoff W, Ulrich R 1981 Appl. Phys. Lett. 39 693
Google Scholar
[15] Illig D W, Jemison W D, Rumbaugh L, Laux A, Mullen L J 2014 Proc. of SPIE 9111 91110R
Google Scholar
[16] Illig D W, Jemison W D, Rumbaugh L, Lee R, Laux A, Mullen L 2013 Ocean Eng. 58 304
Google Scholar
[17] Illig D W, Rumbaugh L, Jemison W D, Laux A, Mullen L 2014 Oceans St. John's, St. John’s, Netherlands, September 14, 2014 p1
[18] Yoshimichi O, Naoshi H 2018 IEEE T. Dielect. El. In. p2467
[19] Chen Y, Zhao Y 2000 Chin. J. Lasers B 9 219
[20] Macdonald R I 1981 Appl. Opt. 20 1840
Google Scholar
[21] 欧阳竑, 王侠, 韦幕野, 岳耀笠 2020 光电技术应用 35 41
Google Scholar
Ou Yang H, Wang X, Wei M Y, Yue Y L 2020 Electro-Optic Tech. Appl. 35 41
Google Scholar
[22] 闵帅博, 严利平, 崔建军, 王冬, 束红林, 陈恺 2020 计量学报 41 1332
Google Scholar
Min S B, Yan L P, Cui J J, Wang D, Shu H L, Chen K 2020 ACTA Metro. Sin. 41 1332
Google Scholar
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