程长控制镜温度效应及耦合场分析
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摘要
程长控制镜是保持环形谐振腔腔长稳定的重要器件之一,温度变化引起的热形变直接影响环形谐振腔的光路形状和光束质量。首先利用ANSYS软件建立了程长控制镜的有限元仿真模型,分析了不同温度条件下程长控制镜的温度场及耦合场,得到了程长控制镜反射镜面中心形变量云图,对变温条件下程长控制镜反射镜面中心形变规律进行了研究,得到了反射镜面中心形变量与温度的关系函数。然后,通过扫模实验和温度实验验证了有限元模型的正确性,计算相对误差为2.5%。最后,仿真分析了程长控制镜各个部件导热系数、杨氏模量、线膨胀系数的影响规律。不同材料参数下,导热系数以及密度对形变量影响较小,杨氏模量和线膨胀系数对形变量影响较大,形变量与杨氏模量成反比,与线膨胀系数成正比。本文首次研究了常温、高低温及变温条件下程长控制镜的温度场和耦合场,并对材料参数的影响规律进行了定量分析,研究结果对程长控制镜的材料选择与优化设计有一定指导意义。
Path length control mirrors(PLCM)are important devices used to keep the cavity length of ring resonators stable.The deformation caused by the temperature variation directly affects the optical path shape and beam quality of ring resonators.In this paper,a finite element simulation model of PLCMs was established using ANSYS.Subsequently,the model was used to analyze the temperature and coupled fields of a PLCM under different temperature conditions.The deformation distribution in the middle of the mirror was obtained.Next,the accuracy of the finite element model was verified by sweep and temperature experiments,with an error of less than 2.5%.Finally,the deformation in the middle of the mirror under the variable temperature conditions was studied,obtaining the relationship between the deformation and the temperature.The influence of the thermal conductivity,Young's modulus,and linear expansion coefficient of each component of the PLCM were simulated andanalyzed.For different material parameters,the thermal conductivity and density have little effect on the deformation,while the Young's modulus and linear expansion coefficient greatly influence the deformation.The deformation was found to be inversely proportional to the Young's modulus and proportional to the linear expansion coefficient.In this paper,the temperature and the coupled fields of the PLCM under normal,high-low,and variable temperature were studied for the first time.In addition,the influence of the material parameters was quantitatively analyzed.The results of this paper have a guiding significance for material selection and optimization of PLCMs.
Path length control mirrors(PLCM)are important devices used to keep the cavity length of ring resonators stable.The deformation caused by the temperature variation directly affects the optical path shape and beam quality of ring resonators.In this paper,a finite element simulation model of PLCMs was established using ANSYS.Subsequently,the model was used to analyze the temperature and coupled fields of a PLCM under different temperature conditions.The deformation distribution in the middle of the mirror was obtained.Next,the accuracy of the finite element model was verified by sweep and temperature experiments,with an error of less than 2.5%.Finally,the deformation in the middle of the mirror under the variable temperature conditions was studied,obtaining the relationship between the deformation and the temperature.The influence of the thermal conductivity,Young's modulus,and linear expansion coefficient of each component of the PLCM were simulated andanalyzed.For different material parameters,the thermal conductivity and density have little effect on the deformation,while the Young's modulus and linear expansion coefficient greatly influence the deformation.The deformation was found to be inversely proportional to the Young's modulus and proportional to the linear expansion coefficient.In this paper,the temperature and the coupled fields of the PLCM under normal,high-low,and variable temperature were studied for the first time.In addition,the influence of the material parameters was quantitatively analyzed.The results of this paper have a guiding significance for material selection and optimization of PLCMs.
引文
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[17]于旭东,张鹏飞,汤建勋,等.机抖激光陀螺温度场的有限元模拟与实验[J].光学精密工程,2010,18(4):913-920.YU X D,ZHANG P F,TANG J X,et al..Finite element analysis and experiments of temperature fields of mechanically dithered ring laser gyroscopes[J].Opt.Precision Eng.,2010,18(4):913-920.(in Chinese)
[2]于旭东,王宇,张鹏飞,等.单轴旋转惯导系统中陀螺漂移的精确校准[J].光学精密工程,2012,20(6):1201-1207.YU X D,WANG Y,ZHANG P F,et al..Calibration of RLG drift in single-axis rotation INS[J].Opt.Precision Eng.,2012,20(6):1201-1207.(in Chinese)
[3]于旭东,雷雯,刘畅.随机振动下光学谐振腔腔体形变及变动规律[J].光学精密工程,2017,25(2):281-288.YU X D,LEI W,LIU CH.Deformation law of optical resonant cavity under random vibration environment[J].Opt.Precision Eng.,2017,25(2):281-288.(in Chinese)
[4]YU X D,GAO N,XIE Y P,et al..Displacement optimization of the path length control transducer for laser gyroscope by the finite element method[J].International Journal of Applied Electromagnetics and Mechanics,2015,49(3):327-335.
[5]许光明,王飞.激光陀螺光路变动分析及其对陀螺性能的影响[J].应用光学,2010,31(5):805-809.XU G M,WANG F.Ring laser gyro light path variations and its impact on gyro performance[J].Journal of Applied Optics,2010,31(5):805-809.(in Chinese)
[6]YUAN J,LONG X W,LIANG L M.Optical-axis perturbation in triaxial ring resonator[J].Applied Optics,2008,47(5):628-631.
[7]YUAN J,LONG X W,CHEN M X.Generalized ray matrix for spherical mirror reflection and its application in square ring resonators and monolithic triaxial ring resonators[J].Optics Express,2011,19(7):6762-6776.
[8]TAZARTES D,MARK J,SCAPPATICCI A V,et al..System and method for laser cavity length control:US,EP1305571[P].2003-05-02.
[9]汪之国,龙兴武,王飞.四频差动激光陀螺综述[J].激光与光电子学进展,2012,49(4):040005.WANG ZH G,LONG X W,WANG F.Overview of four-mode differential laser gyros[J].Laser&Optoelectronics Progress,2012,49(4):040005.(in Chinese)
[10]金世龙.激光陀螺光路及程长控制镜:中国,CN200410046907.8[P].2005-04-06.JIN SH L.Light path and path length control mirror for laser gyro:CN,CN200410046907.8[P].2005-04-06.(in Chinese)
[11]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.JIN SH L,LONG X W,LI X H,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.(in Chinese)
[12]SCHOBER C M.Piezoelectric transducer configured for use as a path length control apparatus for an optical device comprising a central void region:US,US 7068373[P].2006-06-27.
[13]ZAPOTYL’KO N R,KATKOV A A,NEDZVETSKAYA A A.Piezo adjuster for compensating the thermal variations of the optical path length of the cavity of a laser gyroscope[J].Journal of Optical Technology,2011,78(10):644-645.
[14]ZAPOTYL’KO N R,NEDZVETSKAYA A A,POLEKHIN I N.Piezoelectric drive for a ring laser gyroscope[J].Journal of Optical Technology,2011,78(10):646-647.
[15]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.LIU Y ZH,ZHANG M H,ZHANG H W,et al..Optimization design for ring laser gyro path length control mirror[J].Journal of Chinese Inertial Technology,2013,21(2):235-239.(in Chinese)
[16]CHEN L SH,HALL J L,YE J,et al..Vibration-induced elastic deformation of Fabry-Perot cavities[J].Physical Review A,2006,74(5):053801.
[17]于旭东,张鹏飞,汤建勋,等.机抖激光陀螺温度场的有限元模拟与实验[J].光学精密工程,2010,18(4):913-920.YU X D,ZHANG P F,TANG J X,et al..Finite element analysis and experiments of temperature fields of mechanically dithered ring laser gyroscopes[J].Opt.Precision Eng.,2010,18(4):913-920.(in Chinese)