摘要
环形谐振腔是激光陀螺(RLG)的核心。基于环形谐振腔光线传输理论,通过求解自洽方程,数值分析了反射镜的变形对谐振腔稳定性的影响;在此基础上,借助有限元分析软件Ansys,通过参数化建模,进一步开展了RLG腔长控制镜(PLCM)结构参数对其综合性能影响的仿真分析。结果表明,在相同尺寸限制和不影响陀螺稳频工作效率的前提下,PLCM结构参数的局部优化可大大地提升谐振腔的动态稳定性;实验验证与仿真分析结果相吻合,且优化后的单筋PLCM可满足陀螺在常规机载导航系统振动环境下的使用要求。这对进一步提升RLG,尤其是小型化RLG的工程化水平具有重要参考意义。
The ring resonator is the central role of ring laser gyro(RLG).Based on the ray transport matrix theory of the ring resonator,the influence of the path length control mirror(PLCM)deformation on the resonator stability is analyzed numerically by solving the self-consistent equation.Furthermore,the influence of the PLCM structural parameters on its comprehensive performance is simulated with the aid of the finite element software Ansys and demonstrated in experiments.The experimental results exhibit great agreement with the simulation,showing that the resonator dynamic stability can be greatly enhanced by the PLCM structural optimization,without almost any impact on PLCM length compensating efficiency.And the optimized PLCM can meet the gyro requirements in the vibration environment of conventional airborne navigation system.This will be of great value for the optimization of the ring resonator for RLG,especially for miniature RLG.
引文
[1]Post E J.Sagnac effect[J].Review of Modern Physics,1967,39(2):475-493.
[2]Chow W W,Gea-Banacloche J,Pedrotti L M,et al.The ring laser gyro[J].Review of Modern Physics,1985,57(1):61-104.
[3]Ma Jiajun,Jiang Junbiao,Liu Jianning.Adaptive frequency stabilization technique for total reflection prism laser gyros[J].Acta Optica Sinica,2015,35(3):0314002.马家君,蒋军彪,刘健宁.全反射棱镜式激光陀螺自适应稳频技术[J].光学学报,2015,35(3):0314002.
[4]Lee J I.Mirror design for piezo-driven mechanical devices[J].International Journal of Precision Engineering and Manufacturing,2012,13(8):1439-1443.
[5]Lee S H,Shon W H,Suh S W,et al.Piezoelectric actuators for the correction of optical ray path in the operation of laser gyros[J].International Journal of Precision Engineering and Manufacturing,2011,12(1):91-96.
[6]Borchert G,Burisch A,Raatz A.APIS-A miniaturized robot for precision assembly with low-cost piezoelectric motors[J].International Journal of Precision Engineering and Manufacturing,2011,12(4):629-634.
[7]Jin Shilong,Long Xingwu,Li Xiaohong,et al.Research on new type control mirror of light path and optical path length for ring laser gyroscope[J].Acta Optica Sinica,2006,26(4):562-566.金世龙,龙兴武,李晓红,等.激光陀螺新型光路程长控制镜的研制[J].光学学报,2006,26(4):562-566.
[8]Zhang Minghui,Liu Yuanzheng,Lan Peifeng,et al.Structural finite element analysis of path length control mirror for laser gyroscopes[J].Journal of Applied Optics,2011,32(2):353-357.张明辉,刘元正,兰佩锋,等.激光陀螺腔长控制镜结构特性有限元分析[J].应用光学,2011,32(2):353-357.
[9]Liu Yuanzheng,Zhang Minghui,Zhang Huawei,et al.Optimization design for ring laser gyro path length control mirror[J].Journal of Chinese Inertial Technology,2013,21(2):235-239.刘元正,张明辉,张华伟,等.激光陀螺腔长控制镜改进设计[J].中国惯性技术学报,2013,21(2):235-239.
[10]Yuan Jie,Long Xingwu.Optical-axis perturbation in nonplanar ring resonators[J].Optics Communications,2008,281(5):1204-1210.
[11]Wen Dandan,Li Dong,Zhao Jianlin.Generalized sensitivity factors for optical-axis perturbation in nonplanar ring resonators[J].Optics Express,2011,19(20):19752-19757.
[12]Yu Wendong,Wang Jingxian,Chen Linfeng,et al.Mechanism study on the effect of planar ring resonator parameters on ellipticity of modes in resonator[J].Acta Optica Sinica,2015,35(8):0814001.于文东,王京献,陈林峰,等.平面谐振腔参数对腔内模式椭圆率影响的机理研究[J].光学学报,2015,35(8):0814001.
[13]Ma Yanghua,Zhang Ziguo,Han Zonghu.Investigation of optimal mode suppression ratio of laser gyro ring resonator[J].Chinese J Lasers,2014,41(4):0402007.马仰华,张自国,韩宗虎.激光陀螺环形谐振腔抑制比优化控制研究[J].中国激光,2014,41(4):0402007.
[14]Yang H,Bosselman F,Chen M.A microcomputer system for automatic mode sweep of ring laser angular rate sensor(ring laser gyro)[J].Chinese Journal of Lasers B,1999,8(2):137-141.