马赫曾德尔单频干涉仪非线性误差分析

李志栋, 邓士光, 桑峰, 郭泾平

李志栋, 邓士光, 桑峰, 郭泾平. 马赫曾德尔单频干涉仪非线性误差分析[J]. 应用光学, 2011, 32(4): 730-735.
引用本文: 李志栋, 邓士光, 桑峰, 郭泾平. 马赫曾德尔单频干涉仪非线性误差分析[J]. 应用光学, 2011, 32(4): 730-735.
LI Zhi-dong, DENG Shi-guang, SANG Feng, GUO Jing-ping. Nonlinear error analysis of homodyne Mach-Zehnder interferometer[J]. Journal of Applied Optics, 2011, 32(4): 730-735.
Citation: LI Zhi-dong, DENG Shi-guang, SANG Feng, GUO Jing-ping. Nonlinear error analysis of homodyne Mach-Zehnder interferometer[J]. Journal of Applied Optics, 2011, 32(4): 730-735.

马赫曾德尔单频干涉仪非线性误差分析

详细信息
    通讯作者:

    李志栋(1985-),男,北京人,硕士研究生,主要从事激光稳频和绝对距离测量方面的研究工作。

  • 中图分类号: TN206; TH741

Nonlinear error analysis of homodyne Mach-Zehnder interferometer

  • 摘要: 研究了马赫曾德尔单频干涉仪对可调谐激光器进行频率监测时非理想1/4波片和偏振分光镜引入的非线性误差。借助琼斯矩阵对干涉仪建模,理论推导了系统误差公式。理论分析和数值仿真发现:系统的非线性误差为一次谐波误差和二次谐波误差的线性叠加;系统中2个偏振分光镜倾斜角度的非对称主要导致一次谐波误差;波片倾斜角度误差、偏振分光镜倾斜角度误差以及波片相位延迟误差主要导致二次谐波误差,总二次谐波误差近似表现为此3类误差源独立产生的误差的线性叠加;当偏振分光镜消偏比较大时,其产生的误差可忽略。
    Abstract: Nonlinear errors were introduced by non-ideal 1/4 wave plate and polarizing beam splitter (PBS) when using a homodyne Mach-Zehnder interferometer to monitor the optical frequency of a tunable laser. The error formula of the system was theoretically deduced by mathematically modeling the interferometer with Jones matrix. Theoretical analysis and numerical simulation indicated that the nonlinear errors of the system were the linear superposition of first and second harmonic wave errors, the first harmonic wave errors were mainly caused by the unbalance of the two PBSs- alignment errors, the second were mainly caused by wave-plate-s alignment errors, PBS-s alignment errors and wave plate-s phase delay errors, and the overall second harmonic wave errors were approximately the linear superposition of the errors caused independently by these three error sources, errors caused by polarization leakage of the PBS could be neglected if the leakage was small.
  • [1]QUENELLE R C. Nonlinearity in interferometer measurements[J]. Journal of Hewlett Packard, 1983, 34(4): 10-12.
    [2]BOBROFF N. Residual errors in laser interferometry from air turbulence and nonlinearity[J]. Appl. Opt., 1987, 26(13): 2676-2682.
    [3]AUGUSTYN W, DAVIS P. An analysis of polarization mixing errors in distance measuring Interferometers[J]. Journal of Vacuum Science & Technology B: Microelectronics and Nanometer Structures, 1990, 8(6): 2032-2036.
    [4]WU Chien-ming , SU Ching-shen. Nonlinearity in measurements of length by optical interferometry[J]. Meas. Sci. Technol., 1995, 7(1):62-68.
    [5]戴高良, 谢广平. 纳米精度外差干涉仪非线性漂移的研究[J]. 光学学报, 1998, 18(12): 1697-1702.
    DAI Gao-ping, XIE guang-ping. Study on drift of nonlinearity in nanometer precision heterodyne interferometers[J]. Acta Optica Sinica, 1998, 18(12): 1697-1702.(in Chinese with an English abstract)
    [6]CIP O, PETRU F. Determination of scale nonlinearity in a laser interferometer[J]. SPIE, 2001, 4356:139-146.
    [7]WU C M. Periodic nonlinearity resulting from ghost reflections in heterodyne interferometry [J]. Opt. Commun., 2003, 215(13): 17-23.
    [8]杨军, 刘志海, 苑立波. 波片对偏振激光干涉仪非线性误差的影响 [J]. 光子学报, 2008, 37(2): 364-369.
    YANG Jun, LIU Zhi-hai, YUAN Li-bo. Effects of wave plate on nonlinear errors in polarization laser interferometer[J]. Acta Photonica Sinica. 2008, 37(2): 364-369. (in Chinese with an English abstract)
    [9]GREGORCIC P, POZAR T, MOZINA J. Quadrature phase-shift error analysis using a homodyne laser interferometer[J]. Opt. Express, 2009, 17(18): 16322-31.
    [10]WU C. Analytical modeling of the periodic nonlinearity in heterodyne interferometry[J]. Appl. Optics, 1998, 37(28): 6696.
    [11]刘洪冰, 李玉栋, 崔国新, 等. 马赫-曾德尔外差干涉椭偏仪非线性误差分析[J]. 激光技术, 2009, 33(003): 239-242.
    LIU Hong-bing, LI Yu-dong, CUI Xin-guang, et al. Analysis of the nonlinearity in Mach-Zehnder heterodyne interferometric polarimeter[J]. Laser Technology, 2009, 33(003): 239-242. (in Chinese with an English abstract)
    [12]KINDER T,SALEWSKI K D. Characterizing tuneable external cavity semiconductor lasers using a homodyne fiber interferometer[J]. Optik, 2000, 111:127-131.
    [13]KINDER T, SALEWSKI K D. Absolute distance interferometer with grating-stabilized tunable diode laser at 633 nm [J]. J. Opt. a-Pure Appl. Opt., 2002, 4(6): S364-S368.
    [14]SWINKELS B L, BHATTACHARYA N, WIELDERS A A, et al. Absolute distance metrology for space interferometers[J]. SPIE, 2005, 5856:312-317.
    [15]OU Z, MANDEL L. Derivation of reciprocity relations for a beam splitter from energy balance [J]. Am J Phys., 1989, 57(1):66-67.
    [16]刘名, 张书练, 刘维新. 激光回馈波片位相延迟测量的误差源及消除方法[J]. 应用光学, 2008, 29(6): 961-966.
    LIU Ming, ZHANG Shu-lian, LIU Wei-xin. Error source and its elimination in phase retardation measurement of wave plate based on laser feedback[J]. Journal of Applied Optics, 2008, 29(6): 961-966. (in Chinese with an English abstract)
    [17]王宁, 李国华. 1/4波片在调整一些偏振态势中的应用与分析[J]. 应用光学, 2001, 22(2): 32-34.
    WANG Ning, LI Guo-hua. Adjustment of left-hand rotation or right-hand rotation with λ/4 waveplate[J]. Journal of Applied Optics, 2001, 22(2): 32-34. (in Chinese with an English abstract)
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出版历程
  • 刊出日期:  2011-07-14

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