短腔长复合式光纤法布里-珀罗压力传感器椭圆拟合腔长解调算法
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摘要
建立了一种短腔长复合式光纤法布里-珀罗压力传感器反射光谱的模型,提出了一种双参数椭圆拟合腔长解调算法,并对腔长为26～30μm的复合式法布里-珀罗腔的解调进行了仿真。结果表明,采用双参数椭圆拟合算法进行腔长解调的最大误差仅为0.05μm。搭建了光纤法布里-珀罗传感器解调系统,在加压条件下对复合式光纤法布里-珀罗压力传感器进行了解调实验,实现了20 kHz的解调速率,验证了所提算法在解调短腔长复合式光纤法布里-珀罗压力传感器方面的可行性与实时性。
A reflection spectrum model of a compound fiber-optic Fabry-Perot(FP) pressure sensor with short length is established, a two-parameter ellipse-fitting cavity length demodulation algorithm is proposed, and the demodulation for FP-cavity lengths in the range of 26-30 μm is simulated. The results show that the maximum error for the demodulated two-parameter ellipse-fitting cavity length is only 0.05 μm. A demodulation system for the fiber-optic FP sensor is established, and the experiments under different pressures are conducted. A 20-kHz demodulation rate is achieved. Thus, the feasibility and real-time performance of the proposed algorithm for demodulating a compound fiber-optic FP pressure sensor with a short cavity are verified.
A reflection spectrum model of a compound fiber-optic Fabry-Perot(FP) pressure sensor with short length is established, a two-parameter ellipse-fitting cavity length demodulation algorithm is proposed, and the demodulation for FP-cavity lengths in the range of 26-30 μm is simulated. The results show that the maximum error for the demodulated two-parameter ellipse-fitting cavity length is only 0.05 μm. A demodulation system for the fiber-optic FP sensor is established, and the experiments under different pressures are conducted. A 20-kHz demodulation rate is achieved. Thus, the feasibility and real-time performance of the proposed algorithm for demodulating a compound fiber-optic FP pressure sensor with a short cavity are verified.
引文
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[2] Kao T W,Taylor H F.High-sensitivity intrinsic fiber-optic Fabry-Perot pressure sensor[J].Optics Letters,1996,21(8):615-617.
[3] Jiang M Z,Gerhard E.A simple strain sensor using a thin film as a low-finesse fiber-optic Fabry-Perot interferometer[J].Sensors and Actuators A:Physical,2001,88(1):41-46.
[4] Chen Q Q,Tang Y,Wang K N,et al.Characteristic analysis of correlation interference signals in optical wedge type fiber Fabry-Perot sensors[J].Laser & Optoelectronics Progress,2018,55(11):110603.陈青青,唐瑛,王可宁,等.光楔式光纤法布里-珀罗传感器相关干涉信号特性分析[J].激光与光电子学进展,2018,55(11):110603.
[5] Guo Z H,Li Y H,Yang H,et al.Tunable Fabry-Perot optical filter based on micro-electro mechanical system[J].Chinese Journal of Lasers,2017,44(6):0604007.郭智慧,李拥华,杨恒,等.基于微机电系统的法布里-珀罗可调光滤波器[J].中国激光,2017,44(6):0604007.
[6] Li M,Wang M,Li H P.Optical MEMS pressure sensor based on Fabry-Perot interferometry[J].Optics Express,2006,14(4):1497-1504.
[7] Zhang J F,Zhuang X Y,Wang W M,et al.Structure design and analysis of a new type MEMS Fabry-Perot filter[J].Acta Optica Sinica,2012,32(8):0822005.张建飞,庄须叶,汪为民,等.一种新型微机电系统法布里-珀罗滤波器的设计与分析[J].光学学报,2012,32(8):0822005.
[8] Zheng Z X,Huang Y Q.Diaphragm type optical fiber MEMS pressure sensors based on F-P cavity interference[J].Acta Photonica Sinica,2012,41(12):1488-1492.郑志霞,黄元庆.基于F-P腔干涉的膜片式光纤微机电系统压力传感器[J].光子学报,2012,41(12):1488-1492.
[9] Jiang Y.Fourier transform white-light interferometry for the measurement of fiber-optic extrinsic Fabry-Perot interferometric sensors[J].IEEE Photonics Technology Letters,2008,20(2):75-77.
[10] Han M,Zhang Y,Shen F B,et al.Signal-processing algorithm for white-light optical fiber extrinsic Fabry-Perot interferometric sensors[J].Optics Letters,2004,29(15):1736-1738.
[11] Xie J H,Wang F Y,Pan Y,et al.High resolution signal-processing method for extrinsic Fabry-Perot interferometric sensors[J].Optical Fiber Technology,2015,22:1-6.
[12] Sun X Z,Chen H X,Gu P F.Characteristic analysis of multi-cavities Fabry-Perot filters with attenuation[J].Acta Optica Sinica,2005,25(7):970-975.孙雪铮,陈海星,顾培夫.引入衰减的多腔法布里-珀罗滤波器的特性分析[J].光学学报,2005,25(7):970-975.
[13] Chen M R,Bi S W,Dou X B.Transmission characteristics of two-cavity Fabry-Perot structure[J].High Power Laser and Particle Beams,2010,22(8):1870-1874.陈明睿,毕思文,豆西博.双腔法布里-珀罗腔透射特性[J].强激光与粒子束,2010,22(8):1870-1874.
[14] Gao H C,Jiang Y,Zhang L C,et al.Five-step phase-shifting white-light interferometry for the measurement of fiber optic extrinsic Fabry-Perot interferometers[J].Applied Optics,2018,57(5):1168-1173.
[15] Ahn S J,Rauh W,Warnecke H J.Least-squares orthogonal distances fitting of circle,sphere,ellipse,hyperbola,and parabola[J].Pattern Recognition,2001,34(12):2283-2303.
[16] Xu A P,Wang Z Y,Kong D L,et al.A new ellipse fitting method of the minimum differential-mode noise in the atom interference gravimeter[J].Chinese Physics B,2018,27(7):070203.
[17] Jiang L J,Jiang J F,Liu T G,et al.Demodulation of cascade optical fiber Fabry-Perot pressure sensor[J].Acta Photonica Sinica,2012,41(3):283-287.姜丽娟,江俊峰,刘铁根,等.具有复合式法珀腔的光纤压力传感器的解调[J].光子学报,2012,41(3):283-287.
[18] Liu F W,Wu Y Q,Wu F.Correction of random phase-shifts errors based on Lissajous calibration[J].Opto-Electronic Engineering,2015(2):89-94.刘锋伟,吴永前,伍凡.随机相移误差的Lissajous标定与校正[J].光电工程,2015(2):89-94.
[19] Guo R H,Li J X,Zhu R H,et al.Wavelength-tuned phase-shifting calibration based on the Lissajous figures technique[J].Optical Technique,2010,36(2):200-204.郭仁慧,李建欣,朱日宏,等.基于Lissajous图技术的波长移相标定方法[J].光学技术,2010,36(2):200-204.
[20] Feng S S.Reseach on matrix inversion in massive MIMO systems[D].Chengdu:University of Electronic Science and Technology of China,2016.冯双双.基于Massive MIMO的矩阵求逆算法研究[D].成都:电子科技大学,2016.
[21] Li Y Q.Research and implementation of matrix inversion in Massive MIMO[D].Chengdu:University of Electronic Science and Technology of China,2016.李应谦.Massive MIMO中矩阵求逆算法的研究与实现[D].成都:电子科技大学,2016.
[22] Xia J.A comparative study of ellipses fitting methods[D].Guangzhou:Jinan University,2007.夏菁.椭圆拟合方法的比较研究[D].广州:暨南大学,2007.
[23] Shen B,Hua Q,Wang Q,et al.Linear signal detection based on simplified matrix inversion in massive MIMO systems[J].Journal of Beijing University of Posts and Telecommunications,2016,39(6):77-81.申滨,华权,王倩,等.基于矩阵求逆化简的大规模MIMO系统线性信号检测[J].北京邮电大学学报,2016,39(6):77-81.
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