保偏光纤陀螺横向磁场误差的温度依赖性
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摘要
针对无骨架光纤环的保偏光纤陀螺中横向磁场误差的温度依赖性研究发现,保偏光纤线双折射以及Verdet常数固有的温度依赖性可以导致横向磁场误差随着温度变化而变化。利用琼斯矩阵方法推导了保偏光纤陀螺横向磁场误差与温度的关系,并进行了实验验证。实验结果表明,对于长度为1km,半径为6cm,光纤线双折射为2027rad·m-1,最大扭转率为0.382rad·m-1的无骨架光纤环,在1mT横向磁场以及-40~60℃温度场作用下,光纤陀螺的横向磁场误差由26.51(°)·h-1增加到30.43(°)·h-1。
An investigation of the temperature dependence of transverse magnetic error in the polarization maintaining fiber optic gyroscope(PM-FOG)with non-skeleton coil is presented.It is found that the transverse magnetic error changes with the temperature,which can result from the temperature dependence of linear birefringence and Verdet constant of polarization maintaining fiber(PMF).Based on Jones matrix method,the relationship between the transverse magnetic error and temperature in PM-FOG is deduced,and the experimental verification is carried out.The experimental results show that for the non-skeleton coil with length of 1 km,radius of 6 cm,linear birefringence of 2027 rad·m-1,and maximum twist rate of 0.382 rad·m-1,the transverse magnetic error changes from 26.51(°)·h-1 to 30.43(°)·h-1,under 1 mT transverse magnetic field and the temperature range of-40 ℃to 60 ℃.
An investigation of the temperature dependence of transverse magnetic error in the polarization maintaining fiber optic gyroscope(PM-FOG)with non-skeleton coil is presented.It is found that the transverse magnetic error changes with the temperature,which can result from the temperature dependence of linear birefringence and Verdet constant of polarization maintaining fiber(PMF).Based on Jones matrix method,the relationship between the transverse magnetic error and temperature in PM-FOG is deduced,and the experimental verification is carried out.The experimental results show that for the non-skeleton coil with length of 1 km,radius of 6 cm,linear birefringence of 2027 rad·m-1,and maximum twist rate of 0.382 rad·m-1,the transverse magnetic error changes from 26.51(°)·h-1 to 30.43(°)·h-1,under 1 mT transverse magnetic field and the temperature range of-40 ℃to 60 ℃.
引文
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[16]Liu Y Y,Yang G L,Li S Y.Application of BP-AdaBoost model in temperature compensation for fiber optic gyroscope bias[J].Journal of Beijing University of Aeronautics and Astronautics,2014,40(2):235-239.刘元元,杨功流,李思宜.BP-AdaBoost模型在光纤陀螺零偏温度补偿中的应用[J].北京航空航天大学学报,2014,40(2):235-239.
[17]Li X Y,Ling W W,Xu Z L,et al.Design of a new spool for fiber coil based on cross winding pattern[J].Acta Optica Sinica,2015,35(6):0606002.李绪友,凌卫伟,许振龙,等.基于交叉法绕制的光纤环的槽体设计[J].光学学报,2015,35(6):0606002.
[18]Zhang D W,Zhao Y X,Fu W L,et al.Nonreciprocal phase shift caused by magnetic-thermal coupling of a polarization maintaining fiber optic gyroscope[J].Optics Letters,2014,39(6):1382-1385.
[19]DeI R E,Zenteno L A,Starodumov A N,et al.Allfiber absolute temperature sensor using an unbalanced high-birefringence Sagnac loop[J].Optics Letters,1997,22(7):481-483.
[20]Williams P A,Rose A H,Day G W,et al.Temperature dependence of the Verdet constant in several diamagnetic glasses[J].Applied Optics,1991,30(10):1176-1178.
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[22]Andronova I A,Malykin G B.Physical problems of fiber gyroscopy based on the Sagnac effect[J].Physics-Uspekhi,2002,45(8):793-817.
[23]Xu X,Teng F,Zhang Z,et al.Analysis and simulation of a fiber optical gyroscope with Shupe error compensated optically[J].Journal of Modern Optics,2014,61(11):931-937.
[24]Kim D H,Kang J U.Sagnac loop interferometer based on polarization maintaining photonic crystal fiber with reduced temperature sensitivity[J].Optics Express,2004,12(19):4490-4495.
[2]Wang L H,Xu X S,Liu X X,et al.Investigation on modeling methods of axial magnetic field error characteristics in small fiber optic gyroscope[J].Journal of Chinese Inertial Technology,2012,20(1):84-89.王立辉,徐晓苏,刘锡祥,等.小型化光纤陀螺的轴向磁场误差特性建模方法探讨[J].中国惯性技术学报,2012,20(1):84-89.
[3]Sanders G A,Sanders S J,Strandjord L K,et al.Fiber optic gyroscope development at Honeywell[C].International Society for Optics and Photonics,2016:985207.
[4]Xu H J,Zhang W Y,Xu X B,et al.Polarization bias error model and simulation of fiber-optic gyroscope with double optical length[J].Acta Optic Sinica,2014,34(10):1006002.徐宏杰,张文艳,徐小斌,等.双光程光纤陀螺偏振误差模型与仿真[J].光学学报,2014,34(10):1006002.
[5]Lefèvre H C.The fiber-optic gyroscope:Challenges to become the ultimate rotation-sensing technology[J].Optical Fiber Technology,2013,19(6):828-832.
[6]Hotate K,Tabe K.Drift of an optical fiber gyroscope caused by the Faraday effect:Influence of the earth′s magnetic field[J].Applied Optics,1986,25(7):1086-1092.
[7]Li J T,Fang J C.Magnetic shielding method and experiment study of inertial measurement unit based on high precision fiber-optic gyroscope[J].Acta Aeronautica et Astronautica Sinica,2011,32(11):2106-2116.李金涛,房建成.高精度光纤IMU的磁屏蔽方法及实验研究[J].航空学报,2011,32(11):2106-2116.
[8]Wen H,Terrel M A,Kim H K,et al.Measurements of the birefringence and Verdet constant in an air-core fiber[J].Journal of Lightwave Technology,2009,27(15):3194-3201.
[9]Liu J,Xiao C,Pan X,et al.Research on inhibiting radial magnetic sensitivity of fiber-optic gyroscope[J].Chinese Journal of Lasers,2015,42(3):0305005.刘军,肖程,潘欣,等.抑制光纤陀螺径向磁敏感性研究[J].中国激光,2015,42(3):0305005.
[10]Zhou Y,Zhao Y,Tian H,et al.Theory and compensation method of axial magnetic error induced by axial magnetic field in a polarization-maintaining fiber optic gyro[J].Optical Engineering,2016,55(12):126106.
[11]Hu Z F,Jiang R Z,Zhou J.Magnetic error analyzing and suppressing on a polarization-maintaining interferometric fiber optic gyroscope[J].Acta Optica Sinica,2014,34(6):0606003.胡宗福,姜润知,周剑.保偏光纤干涉型陀螺的磁场误差分析与抑制方法[J].光学学报,2014,34(6):0606003.
[12]Liu P,Li X Y,Guang X X,et al.Drift suppression in a dual-polarization fiber optic gyroscope caused by the Faraday effect[J].Optics Communications,2017,394:122-128.
[13]Liu P,Li X Y,Guang X X,et al.Bias error caused by the Faraday effect in fiber optical gyroscope with double sensitivity[J].IEEE Photonics Technology Letters,2017,29(15):17012677.
[14]Song N F,Guan Y M,Jia M.Analysis of multiparameters effect on Shupe error in fiber optic gyroscope fiber coil[J].Journal of Beijing University of Aeronautics and Astronautics,2011,31(5):569-573.宋凝芳,关月明,贾明.光纤陀螺光纤环Shupe误差的多参数影响仿真分析[J].北京航空航天大学学报,2011,37(5):569-573.
[15]Li J L,Xu H L,He J.Temperature compensation of start-up drift for fiber optic gyroscope based on wavelet network[J].Acta Optica Sinica,2011,31(5):0506005.李家垒,许化龙,何靖.基于小波网络的光纤陀螺启动漂移温度补偿[J].光学学报,2011,31(5):0506005.
[16]Liu Y Y,Yang G L,Li S Y.Application of BP-AdaBoost model in temperature compensation for fiber optic gyroscope bias[J].Journal of Beijing University of Aeronautics and Astronautics,2014,40(2):235-239.刘元元,杨功流,李思宜.BP-AdaBoost模型在光纤陀螺零偏温度补偿中的应用[J].北京航空航天大学学报,2014,40(2):235-239.
[17]Li X Y,Ling W W,Xu Z L,et al.Design of a new spool for fiber coil based on cross winding pattern[J].Acta Optica Sinica,2015,35(6):0606002.李绪友,凌卫伟,许振龙,等.基于交叉法绕制的光纤环的槽体设计[J].光学学报,2015,35(6):0606002.
[18]Zhang D W,Zhao Y X,Fu W L,et al.Nonreciprocal phase shift caused by magnetic-thermal coupling of a polarization maintaining fiber optic gyroscope[J].Optics Letters,2014,39(6):1382-1385.
[19]DeI R E,Zenteno L A,Starodumov A N,et al.Allfiber absolute temperature sensor using an unbalanced high-birefringence Sagnac loop[J].Optics Letters,1997,22(7):481-483.
[20]Williams P A,Rose A H,Day G W,et al.Temperature dependence of the Verdet constant in several diamagnetic glasses[J].Applied Optics,1991,30(10):1176-1178.
[21]Zhao H,Chen M,Li G.Temperature dependence of the PER in PM-PCF coil[J].Chinese Optics Letters,2012,10(10):100603.
[22]Andronova I A,Malykin G B.Physical problems of fiber gyroscopy based on the Sagnac effect[J].Physics-Uspekhi,2002,45(8):793-817.
[23]Xu X,Teng F,Zhang Z,et al.Analysis and simulation of a fiber optical gyroscope with Shupe error compensated optically[J].Journal of Modern Optics,2014,61(11):931-937.
[24]Kim D H,Kang J U.Sagnac loop interferometer based on polarization maintaining photonic crystal fiber with reduced temperature sensitivity[J].Optics Express,2004,12(19):4490-4495.