激光陀螺本征模偏振态与磁敏感特性的理论研究

汪之国; 龙兴武; 王飞; 张斌

doi:10.7498/aps.62.054205

摘要

环境磁场的干扰是影响激光陀螺精度的重要因素之一. 为了减小二频机械抖动激光陀螺的磁敏感性, 推导了环形腔的琼斯矩阵, 其中考虑了非共面角、增益介质、腔损耗、腔镜反射各向异性和应力双折射, 采用矩阵本征问题求解的摄动理论分析了环形腔的偏振态和磁敏感特性. 研究表明, 为了减小激光陀螺的磁敏感性, 应减小非共面角和腔损耗, 增大腔镜的反射各向异性. 腔镜应力双折射究竟会增大还是减小磁敏感性与应力作用主轴、受应力腔镜的位置有关, 此外它还会引起顺时针和逆时针模式之间的偏振非互易性. 磁敏感性与腔失谐近似成线性关系, 导致激光陀螺工作于增益峰值时磁敏感性并非最小. 这些结果对减小二频机械抖动激光陀螺的磁敏感性具有较好的指导意义.

关键词:

Abstract

Disturbance by ambient magnetic field is an important factor, which leads to measurement error of the laser gyro. In order to reduce the magnetic sensitivity, the polarization eigenstate in ring cavity is analyzed with matrix perturbation method, considering factors of small nonplanarity, mirror anisotropy and stress birefringence, gain and so on. The main factors affecting the magnetic sensitivity of the laser gyro are discussed. Ellipticities of eigen modes in clockwise and anti-clockwise direction caused by nonplanarity are identical and both are proportional to magnetic sensitivity. The influence of stress birefringence on ellipticity is related to mirror position, propagating direction of eigenmodes and main axis of stress. Nonplanarity is zero when ellipticities of eigen modes in clockwise and anti-clockwise direction are equal without stress birefringence in the passive cavity. A lower cavity loss is better to reduce the magnetic sensitivity of the laser gyro. The minimum magnetic sensitivity is not identical with peak gain for the laser gyro. Large phase and amplitude anisotropies of mirrors are useful to reduce magnetic sensitivity and ellipticity. These findings are significant for the reduction of magnetic sensitivity in ring laser gyros.

Keywords:

作者及机构信息

1.
国防科技大学光电科学与工程学院光电工程系, 长沙 410073

基金项目: 国家自然科学基金(批准号: 61078017)资助的课题.

Authors and contacts

1.
Department of Opto-Electronic Engineering, College of Opto-Electronic Science and Engineering, National University of Defense Technology, Changsha 410073, China

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 61078017).

参考文献

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[2]	Stedman G E 1997 Rep. Prog. Phys. 60 615
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[6]	Zhao Z X 2006 Master Dissertation (Changsha: National University of Defense Technology) (in Chinese) [赵政鑫 2006 硕士学位论文 (长沙: 国防科技大学)]
[7]	Zhang Y L 2006 Master Dissertation (Xi'an: Northwestern Polytechnical University) (in Chinese) [张雅丽 2006 硕士学位论文 (西安: 西北工业大学)]
[8]	Yao C K, Zeng X D, Cao C Q 2012 Acta Phys. Sin. 61 094216 (In Chinese) [姚呈康, 曾晓东, 曹长庆 2012 物理学报 61 094216]
[9]	Smith D A 1983 Proc. of SPIE 412 229
[10]	Martin G J 1984 Proc. of SPIE 478 110
[11]	Martin G J 1984 Proc. of SPIE 487 94
[12]	Moore R H, Durance D U. S. Patent 4 850 708 [1989-07-25]
[13]	Yuan J, Long X W, Zhang P F, Wang Y, Chen M X, Yang H D, Kang Z L 2011 Proc. of SPIE 8171 81710A
[14]	Born M, Wolf E 2003 Principles of Optics (7th Ed.) (London: Cambridge University Press) p28
[15]	Zhou B K, Gao Y Z, Chen T R, Chen J H 2000 Laser Principle (Fourth Edition) (Beijing: National Defence Industry Press) p130 (in Chinese) [周炳琨, 高以智, 陈倜嵘, 陈家骅 2000 激光原理(第四版) (北京: 国防工业出版社) 第130页]
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施引文献

[1]	Xu G Z 1995 Handbook of Inertial Technology (Beijing: China Astronautic Publishing House) (in Chinese) [许国祯 1995 惯性技术手册 (北京: 宇航出版社)]
[2]	Stedman G E 1997 Rep. Prog. Phys. 60 615
[3]	Schreiber K U, Klgel T, Wells J P R, Burst R B, Gebauer A 2011 Phys. Rev. Lett. 107 173904
[4]	Schreiber K U, Gebauer A, Wells J P R 2012 Opt. Lett. 37 1925
[5]	Chen L F, Han Z H, Chen Y, Wang J L, Ji C P 2006 Acta Photonica Sinica 35 974 (in Chinese) [陈林峰, 韩宗虎, 陈勇, 王金林, 吉翠萍 2006 光子学报 35 974]
[6]	Zhao Z X 2006 Master Dissertation (Changsha: National University of Defense Technology) (in Chinese) [赵政鑫 2006 硕士学位论文 (长沙: 国防科技大学)]
[7]	Zhang Y L 2006 Master Dissertation (Xi'an: Northwestern Polytechnical University) (in Chinese) [张雅丽 2006 硕士学位论文 (西安: 西北工业大学)]
[8]	Yao C K, Zeng X D, Cao C Q 2012 Acta Phys. Sin. 61 094216 (In Chinese) [姚呈康, 曾晓东, 曹长庆 2012 物理学报 61 094216]
[9]	Smith D A 1983 Proc. of SPIE 412 229
[10]	Martin G J 1984 Proc. of SPIE 478 110
[11]	Martin G J 1984 Proc. of SPIE 487 94
[12]	Moore R H, Durance D U. S. Patent 4 850 708 [1989-07-25]
[13]	Yuan J, Long X W, Zhang P F, Wang Y, Chen M X, Yang H D, Kang Z L 2011 Proc. of SPIE 8171 81710A
[14]	Born M, Wolf E 2003 Principles of Optics (7th Ed.) (London: Cambridge University Press) p28
[15]	Zhou B K, Gao Y Z, Chen T R, Chen J H 2000 Laser Principle (Fourth Edition) (Beijing: National Defence Industry Press) p130 (in Chinese) [周炳琨, 高以智, 陈倜嵘, 陈家骅 2000 激光原理(第四版) (北京: 国防工业出版社) 第130页]
[16]	Bennett W R, Jr. 1962 Appl. Opt. 1 24
[17]	Cui T J, Liang C H 1995 Journal of China Institute of Communications 16 103 (in Chinese) [崔铁军, 梁昌洪 1995 通信学报 16 103]

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