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    光纤F-P腔高品质因子检波器理论模型研究

    Theoretical Model of High Figure of Merit Geophone Based on Fiber Optic F-P Cavity

    • 摘要: 针对波长解调型光纤加速度检波器灵敏度低的问题,建立了光纤法布里-珀罗(Fabry-Pérot,F-P)波长解调型加速度检波器的理论模型。以光纤F-P加速度检波器的物理模型为切入点,结合F-P干涉仪的基本原理,理论研究其检波原理,并剖析弹性结构体的刚度、质量、腔长、阻尼和折射率对灵敏度的影响。通过实验搭建基于F-P干涉的光纤加速度检波器,验证了模型中主要参数对灵敏度和性能的影响。引入品质因子(Figure of Merit)作为指标,结合实验数据对传感器的综合性能进行量化评价,进一步验证了理论模型的正确性和适用性。对比分析FBG和F-P加速度传感器的综合性能,检波器的谐振频率约为740 Hz,在10~310 Hz频率范围较为平坦,相应的灵敏度为6.59~15.21 nm/G,动态范围达81.3 dB,动态分辨率6.25 μG/ \sqrt\mathrmHz ,传感器灵敏度比基于FBG的传感器灵敏度理论上高出约2个数量级,为光纤类波长解调型高品质因子F-P加速度检波器的设计提供了新思路。

       

      Abstract: Aiming at the problem of low sensitivity of wavelength demodulated fiber-optic accelerographs, a theoretical model of fiber-optic Fabry-Pérot (F-P) wavelength demodulated accelerographs is established. Taking the physical model of the fiber-optic F-P accelerograph as an entry point, combined with the basic principle of the F-P interferometer, the theoretical study of its wave detection principle is carried out, and the effects of the stiffness, mass, cavity length, damping and refractive index of the elastic structural body on the sensitivity are dissected. Meanwhile, the fiber-optic acceleration detector based on F-P interferometry is experimentally constructed, and the effects of the main parameters in the model on the sensitivity and performance are verified. In addition, the quality factor (Figure of Merit) is introduced as an index to quantitatively evaluate the comprehensive performance of the sensor in combination with experimental data, which further verifies the correctness and applicability of the theoretical model. By comparing and analyzing the comprehensive performance of FBG and F-P accelerometer, the resonant frequency of the detector is about 740 Hz, which is relatively flat in the frequency range of 10~310 Hz. The corresponding sensitivity is 6.59~15.21 nm/G, the dynamic range is 81.3dB, and the dynamic resolution is 6.25 μG/ \sqrt\mathrmHz . The sensitivity of the sensor is about two orders of magnitude higher than that of the sensor based on FBG, which provides a new idea for the design of fiber-optic wavelength demodulation type high quality factor F-P accelerometer.

       

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