中国激光, 2013, 40 (2): 0202002, 网络出版: 2013-01-14  

用摄动法分析四频差动激光陀螺腔中的光场偏振特性

Polarization Properties of the Eigenmodes in the Four-Mode Differential Laser Gyro with Perturbation Method
作者单位
国防科学技术大学光电科学与工程学院, 湖南 长沙 410073
摘要
为了在四频差动激光陀螺腔中得到理想的圆偏振光,采用摄动法分析了偏振度随谐振腔参量的变化规律。对平面腔四频差动激光陀螺,考虑了反射镜各向异性以及水晶片的旋光角和线双折射。对非平面腔四频差动激光陀螺,考虑了反射镜各向异性和异面旋光角。以理想谐振腔的琼斯矩阵为0阶近似,推导了近似到1阶的微扰琼斯矩阵,采用矩阵本征问题的摄动法求出了本征矢量的1阶摄动解,从而可求出光场的偏振度。以旋光90°为例讨论了光场偏振度随反射镜各向异性的变化规律。当偏振度小于0.05时,摄动法求出的解析式与严格数值解在较高的精度上一致。非平面腔四频差动激光陀螺腔内光场偏振度随各反射镜各向异性的变化规律不同于平面腔的情况。该结果对四频差动激光陀螺腔的优化设计具有一定的指导作用。
Abstract
In order to obtain ideal circularly polarized laser in the four-mode differential laser gyro, the influence of cavity parameters on polarization degree is analyzed with perturbation method. The perturbation matrix to the first order approximation is derived. Not only anisotropies of cavity mirrors but also optical activity and linear birefringence of quartz crystal are considered for planar four-mode differential laser gyro, while anisotropies and nonplanar rotation angle of carity mirrors are considered for nonplanar four-mode differential laser gyro. The first order perturbation solution of eigen-vector is obtained with perturbation method for eigen problem of matrix. The variation of polarization degree as a function of anisotropies of cavity mirrors is discussed when the rotation angle of the cavity is 90°. Expressions derived from perturbation method agree well with strict numerical solutions when polarization degree is less than 0.05. Polarization degrees of four-mode differential laser gyros as a function of anisotropies of mirrors are different between palanar and nonplanar cavity. The results have certain instructive effect for optimizing the cavity design of four-mode differential laser gyro.
参考文献

[1] 杨培根, 龚志炳. 光电惯性技术[M]. 北京: 兵器工业出版社, 1999. 12~13

    Yang Peigen, Gong Zhibing. Optical and Electrical Inertial Techniques[M]. Beijing: Weapon Industry Press, 1999. 12~13

[2] W. W. Chow, J. Gea-Banacloche, L. M. Pedrotti et al.. The ring laser gyro[J]. Rev. Mod. Phys., 1985, 57(1): 61~104

[3] 樊振方, 罗晖, 胡绍民. 二频机抖陀螺的自锁相抖动剥除[J]. 中国激光, 2011, 38(4): 0409001

    Fan Zhenfang, Luo Hui, Hu Shaomin. Self phase lock dither stripping technique in mechanical dithered ring laser gyro[J]. Chinese J. Lasers, 2011, 38(4): 0409001

[4] 樊振方, 罗晖, 卢广锋 等. 机抖激光陀螺锁区补偿的理论研究[J]. 光学学报, 2011, 31(11): 1112006

    Fan Zhenfang, Luo Hui, Lu Guangfeng et al.. Theoretical research on lock-in error compensation for mechanical dithered ring laser[J]. Acta Optica Sinica, 2011, 31(11): 1112006

[5] 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 Zhiguo, Long Xingwu, Wang Fei. Overview of four-mode differential laser gyros[J]. Laser & Optoelectronics Progress, 2012, 49(4): 040005

[6] C. H. Volk, S. C. Gillespie, J. G. Mark et al.. Multioscillator ring laser gyroscopes and their applications[C]. RTO AGARDograph 339, 1999: 4.1~4.26

[7] M. Fernandez, B. Ebner, N. Dahlen. Zero-lock laser gyro[C]. Keystone: Proceedings of the Annual Rocky Mountain Guidance and Control Conference, 1989. 235~241

[8] 杨在富, 袁晓东, 张斌 等. 四频差动激光陀螺中的S-P各向异性效应[J]. 光学学报, 1998, 18(9): 1255~1260

    Yang Zaifu, Yuan Xiaodong, Zhang Bin et al.. The S-P anisotropy effects in differential laser gyros[J]. Acta Optica Sinica, 1998, 18(9): 1255~1260

[9] 高伯龙. 水晶片的几个光学性能(一)[J]. 国防科技大学学报, 1982, (1): 59~71

    Gao Bolong. Some optical properties of quartz crystal(I)[J]. Journal of National University of Defense Technology, 1982, (1): 59~71

[10] T. V. Zhavoronkova, I. I. Savel′ev, A. M. Khromykh. Theory of nonreciprocal effects in a ring laser subjected to a transverse magnetic field[J]. Sov. J. Quantum Electron., 1983, 13(12): 1550~1555

[11] 汪之国, 龙兴武, 王飞 等. 四频差动激光陀螺磁灵敏度特性的实验研究[J]. 中国激光, 2010, 37(3): 713~717

    Wang Zhiguo, Long Xingwu, Wang Fei et al.. Experimental investigations on magnetic sensitivity in four-frequency differential laser gyros[J]. Chinese J. Lasers, 2010, 37(3): 713~717

[12] 左超, 袁晓东, 曾淳. 环形激光器中的光场偏振度[J]. 激光技术, 2000, 24(1): 34~37

    Zuo Chao, Yuan Xiaodong, Zeng Chun. Polarization of optical modes in ring lasers[J]. Laser Technology, 2000, 24(1): 34~37

[13] D. Wen, D. Li, J. Zhao. Analysis on the polarization property of the eigenmodes in a nonplanar ring resonator[J]. Appl. Opt., 2011, 50(18): 3057~3063

[14] 崔铁军, 梁昌洪. 本征方程[A][u]=λ[u]的矩阵摄动理论及其在电磁学中的应用[J]. 通信学报, 1995, 16(2): 103~106

    Cui Tiejun, Liang Changhong. Matrix perturbation theory to eigen equation[A][u]=λ[u] and its application in electromagnetic fields[J]. Journal of China Institute of Communications, 1995, 16(2): 103~106

[15] 汪之国. 异面腔四频差动激光陀螺的零偏特性与电子系统设计[D]. 长沙: 国防科技大学, 2010

    Wang Zhiguo. Bias Characteristics of Four-Mode Differential Laser Gyroscope with Nonplanar Cavity and Its Electronic System Design[D]. Changsha: National University of Defense Technology, 2010

赵洪常, 汪之国. 用摄动法分析四频差动激光陀螺腔中的光场偏振特性[J]. 中国激光, 2013, 40(2): 0202002. Zhao Hongchang, Wang Zhiguo. Polarization Properties of the Eigenmodes in the Four-Mode Differential Laser Gyro with Perturbation Method[J]. Chinese Journal of Lasers, 2013, 40(2): 0202002.

关于本站 Cookie 的使用提示

中国光学期刊网使用基于 cookie 的技术来更好地为您提供各项服务,点击此处了解我们的隐私策略。 如您需继续使用本网站,请您授权我们使用本地 cookie 来保存部分信息。
全站搜索
您最值得信赖的光电行业旗舰网络服务平台!