ZHU Huaikang, ZHANG Qiyuan, HAN Sen. Optimal compensation methods of wedge angle of reference mirror in equal optical path interferometers[J]. Journal of Applied Optics, 2022, 43(5): 950-958. DOI: 10.5768/JAO202243.0503004
Citation: ZHU Huaikang, ZHANG Qiyuan, HAN Sen. Optimal compensation methods of wedge angle of reference mirror in equal optical path interferometers[J]. Journal of Applied Optics, 2022, 43(5): 950-958. DOI: 10.5768/JAO202243.0503004

Optimal compensation methods of wedge angle of reference mirror in equal optical path interferometers

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  • Received Date: March 03, 2022
  • Revised Date: March 31, 2022
  • Available Online: April 13, 2022
  • When measuring multi-surface parallel samples, the multi-surface interference can affect the measurement results. To improve the multi-surface interference problem, an equal optical path interferometer was introduced and the optimal method to compensate for the wedge angle of reference mirror was studied. In an equal optical path interferometer, due to the existence of wedge angle and inclination angle of the reference mirror and beam splitter mirror, the retrace errors would occur in the measurement results. The different compensations were applied depending on the different cases of reference mirror wedge angle. The placement and compensation amount of the various compensations were theoretically analyzed and determined, and the effect of the size of inclination angle and wedge angle on the height of the beam to be blocked and the image square NA was studied. The interferometer simulations were then carried out using Zemax with different compensation methods, and the magnitude of the retrace error was analyzed according to the PV values of the interferograms obtained from the simulations. The analysis shows that the optimal compensation method is chosen, with a wedge angle of reference mirror of 1′ and the retrace error is better than 0.003 wavelengths.

  • [1]
    高晨家. 显微散斑干涉测量方法与技术的研究[D]. 北京: 北京交通大学, 2021.

    GAO Chenjia. Study on method and technology of microscopic speckle interferometry[D]. Beijing: Beijing Jiaotong University, 2021.
    [2]
    张齐元. 典型透射系统多波长波前检测方法研究[D]. 长春: 长春理工大学, 2019.

    ZHANG Qiyuan. Method for multi-wavelength wavefronts testing of typical transmission systems[D]. Changchun: Changchun University of Science and Technology, 2019.
    [3]
    于亮. 基于单光束干涉图像的三自由度超精密激光干涉测量方法[D]. 哈尔滨: 哈尔滨工业大学, 2020.

    YU Liang. Three degree-of-freedom ultra-precision laser interferometry based on single beam interferogram[D]. Harbin: Harbin Institute of Technology, 2020.
    [4]
    刘经佑, 雷枫. 基于透过式低相干光学干涉测量透镜中心厚度[J]. 激光与光电子学进展,2019,56(12):116-124.

    LIU Jingyou, LEI Feng. Measurement of lens-center thickness based on low-coherence interference with transmitted illumination[J]. Laser & Optoelectronic Progress,2019,56(12):116-124.
    [5]
    常林, 何婷婷, 闫恪涛, 等. 考虑移相参数匹配的任意腔长下多表面干涉测量[J]. 仪器仪表学报,2021,42(9):181-191.

    CHANG Lin, HE Tingting, YAN Ketao, et al. Multi-surface interference measurement with arbitrary cavity lengths considering phase-shifting parameter matching[J]. Chinese Journal of Scientific Instrument,2021,42(9):181-191.
    [6]
    廖之山. 基于非均匀傅里叶变换的平行平板光学均匀性的干涉测量技术研究[D]. 南京: 南京理工大学, 2020.

    LIAO Zhishan. Research on optical homogeneity interferometry of parallel plates based on nonuniform fast Fourier transform[D]. Nanjing: Nanjing University of Science and Technology, 2020.
    [7]
    DIANA T. Homogeneity testing of optical glass by holographic interferometry[J]. Applied Optics,1991,30(7):752-755. doi: 10.1364/AO.30.000752
    [8]
    PETER J, DE G. Grating interferometer for flatness testing[J]. Optics Letters,1996,21(3):228-230. doi: 10.1364/OL.21.000228
    [9]
    MATT N, JAMES M, NEAL B, et al. Analysis of a micropolarizer array-based simultaneous phase-shifting interferometer[J]. Applied Optics,2005,44(32):6861-6868. doi: 10.1364/AO.44.006861
    [10]
    李靓. 基于随机步长相移干涉面形检测的鲁棒性研究[D]. 西安: 西安工业大学, 2021.

    LI Jing. Research on robustness of surface shape measurement based on random step phase shift interference[D]. Xi'an: Xi'an Technological University, 2021.
    [11]
    张瑞, 陈磊, 朱文华, 等. 点源异位同步移相法检测平行平晶的光学均匀性[J]. 光子学报,2018,47(1):186-193.

    ZHANG Rui, CHEN Lei, ZHU Wenhua, et al. Measuring optical homogeneity of parallel plates based on simultaneous phase-shifting by lateral displacement of point sources[J]. Acta Photonica Sinica,2018,47(1):186-193.
    [12]
    LESLIE L D, PETER J, DE G. Low noise surface mapping of transparent plane-parallel parts with a low coherence interferometer[C]. SPIE - The International Society for Optical Engineering, September 12, 2011, San Diego, California, USA:SPIE, 2011: 81330G .
    [13]
    LESLIE L D, PETER J, DE G,et al. Large-aperture, equal-path interferometer for precision measurements of flat transparent surfaces[J]. Applied Optics,2014,53(8):1546-1553. doi: 10.1364/AO.53.001546
    [14]
    GROOT P D, LESLIE L D, JAMES F B, et al. Equal-path interferometer:US 8045175B2[P]. 2011-10-25.
    [15]
    刘博. 全视场外差斐索干涉仪技术研究[D]. 西安: 西安工业大学, 2020.

    LIU Bo. Research on full field heterodyne Fizeau interferometer technology[D]. Xi'an: Xi'an Technological University, 2020.
    [16]
    卢荣胜, 吴昂, 张腾达, 等. 自动光学(视觉)检测技术及其在缺陷检测中的应用综述[J]. 光学学报,2018,38(8):23-58.

    LU Rongsheng, WU Ang, ZHANG Tengda, et al. Review on automated optical(visual) inspection and its applications in defect detection[J]. Acta Photonica Sinica,2018,38(8):23-58.
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