基于 Lissajous 输出拟合的非平衡 M-Z 干涉仪相位解调
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TN247 TH741

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安徽省科技重大专项(201903a05020029)资助


Phase demodulation of unbalanced M-Z interferometer based on Lissajous output fitting
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    摘要:

    搭建基于 3×3 耦合器的非平衡马赫-曾德尔(M-Z)干涉系统,将 3×3 耦合器解调与相位载波结合,通过引入载波调节 M-Z 干涉仪的输出相位进行动态解调。 载波信号为频率 2 kHz,电压为 0、2、6、10、16 V 的余弦信号,通过 Throlabs 光学能量计测量干涉 仪输出功率随时间变化曲线,针对 3×3 耦合器分光比不均等为 1 ∶ 1 ∶ 1,即相位差不为 120°,将输出干涉光采用经验模态分解并构 建带通滤波器进行去噪,将处理后的信号用最小二乘法进行李萨如曲线拟合,求得椭圆具体参数,利用反正切函数求解相位差。 得出电压相移系数以及电压波长偏移系数分别为 0. 757 7(°/ V)、0. 725 8×10 -3 (nm/ V),在 MATLAB 中拟合一阶线性曲线,拟合优 度 R 2 在 0. 98 以上。 最后将此解调系统应用于光纤光栅串(FBG)的应力负载试验并与微光光学解调仪(MOI)相对比,结果表明本 系统准确度高,对 1 560 nm 的 FBG 解调效果较 MOI 更佳。

    Abstract:

    An unbalanced M-Z interference system based on the 3×3 coupler is established. Combining the 3×3 coupler demodulation with the phase carrier, the output phase of the M-Z interferometer is dynamically demodulated by introducing carrier to adjust the output phase. The carrier wave is a cosine signal with a frequency of 2 kHz and a voltage of 0, 2, 6, 10 and 16 V. The output power curve of the interferometer with time is measured by the Throlabs optical energy meter. For the unequal splitting ratio of 3×3 coupler with 1 ∶ 1 ∶ 1, the phase difference is not 120°, the output interference light is decomposed by empirical mode, and a band-pass filter is constructed for denoising. The processed signal is fitted with Lissajous curve by the least square method to obtain the specific parameters of ellipse. The arctangent function is used to solve the phase difference. Finally, the voltage phase shift coefficient and the voltage wavelength shift coefficient are 0. 757 7 (°/ V) and 0. 725 8×10 -3 ( nm/ V), respectively. The first-order linear curve is fitted in MATLAB, and the goodness of fit R 2 is more than 0. 98. Finally, the demodulation system is applied to the stress load test of fiber Bragg grating (FBG) strings and compared with the micron optics (MOI) demodulation. The results show that the accuracy of this system is high, and the FBG demodulation effect at 1 560 nm is better than MOI.

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王 彦,蒋 超,朱 伟,汪俊亮,徐浩雨.基于 Lissajous 输出拟合的非平衡 M-Z 干涉仪相位解调[J].仪器仪表学报,2023,44(2):84-92

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  • 在线发布日期: 2023-07-07
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