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Spatial phase-shifting polarization point-piffraction interferometer for wavefront measurement

Zheng Dong-Hui Li Jin-Peng Chen Lei Zhu Wen-Hua Han Zhi-Gang Wulan Tu-Ya Guo Ren-Hui

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Spatial phase-shifting polarization point-piffraction interferometer for wavefront measurement

Zheng Dong-Hui, Li Jin-Peng, Chen Lei, Zhu Wen-Hua, Han Zhi-Gang, Wulan Tu-Ya, Guo Ren-Hui
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  • Wavefront measurement is widely used in the field of optical manufacturing, military, astronomy, medical treatment, etc., and it reflects the performance of the optical system through evaluating aberrations. Relevant studies have been carried out by many researchers. Among them, point-diffraction interferometer and spatial phase-shifting interferometer are two significant instruments for the wavefront measurement. Point-diffraction interferometer is a simple self-referencing configuration with high precision, and spatial phase-shifting interferometer can be used in the vibration environment or for measuring the dynamic object. Owing to these advantages, they have been widely used in the field of wavefront measurement. In this paper, to realize the combination of these two techniques, we propose a new method of fabricating a polarization point-diffraction plate. Through laser drilling technology, we fabricate a pinhole at a micron level on a wire grid polarizer with a period and depth of 140 nm and 100 nm respectively, and fabricate a polarization point-diffraction plate. We analyze the principle of laser drilling, the orthogonally polarized reference beam and test beam generation mechanism of the polarization point-diffraction plate. The principle of spatial phase-shifting interferometer is deduced by adopting Stokes vector and mueller matrix. Combining with the spatial phase-shifting system with beam splitter, a spatial phase-shifting polarization point-diffraction interferometer is built. In the experimental apparatus, the diameter of the pinhole on the polarization point-diffraction plate is 10.2 m, the beam splitter is a chessboard phase grating whose period, duty cycle, and etched depth are 34 m, 0.5, and 577 nm respectively, and the phase-shifting component is a 22 wave-plate array which is glued together with a 1/4 wave-plate, a 1/2 wave-plate, a 3/4 wave-plate and a full wave-plate; the four fast-axes of the wave-plates are all along the horizontal direction. The spatial phase-shifting polarization point-diffraction interferometer is used to measure the transmitted wavefront through a collimating lens with a focal length of 550 mm and F#10 which are used on a collimator. The measured peak-to-valley value, root-mean-square value and Zernike fitting coefficients are in good agreement with those obtained by SID4 wavefront sensor made by Phasics corporation in France, which verifies the reliability of the measuring results obtained by spatial phase-shifting polarization point-diffraction interferometer. The spatial phase-shifting polarization point-diffraction interferometer introduces spatial phase-shifting technology into traditional point-diffraction interferometer, thereby achieving real-time wavefront measurement with high resolution and precision, and also improving the immunity to vibration, air turbulence, etc.
      Corresponding author: Chen Lei, chenlei@njust.edu.cn
    • Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. U1231111, 61108041, 61405092, 61505082, 11402120), and the Graduate Student Innovation Project of Jiangsu Province (Grant No.KYZZ15_0121).
    [1]

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    Mu T K, Zhang C M 2010 Chin. Phys. B 19 060702

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    Li C H, Xian H, Jiang W H, Rao C H 2007 Acta Phys. Sin. 56 4289 (in Chinese) [李超宏, 鲜浩, 姜文汉, 饶长辉 2007 物理学报 56 4289]

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    Paturzo M, Pignatiello F, Grilli S 2006 Opt. Lett. 45 3463

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    Claudio R, Eva O, Claudio I 2013 Opt. Ex. 21 8116

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    Wang D D, Wang F M, Yang Y Y 2013 Optik 124 5481

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    Gao P, Harder I, Nercissian V, Mantel K, Yao B L 2010 Opt. Lett. 35 712

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    Medecki H, Tejnil E, Goldberg K A, Bokor J 1996 Opt. Lett. 21 1526

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    Sugisaki K, Okada M, Zhu Y C, Otaki K, Liu Z Q, Kawakami J, Ishii M, Saito J, Murakami K, Hasegawa M, Ouchi C, Kato S, Hasegawa T, Suzuki A, Yokota H, Niibe M, Takeda M 2005 Proc. SPIE 5921 59210D

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    Ouchi C, Kato S, Hasegawa M, Hasegawa T, Yokota H, Sugisaki K, Okada M, Murakami K, Saito J, Niibe M, Takeda M 2016 Proc. SPIE 6152 61522O

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    Bai F Z, Rao C H 2010 Acta Phys. Sin. 59 4056 (in Chinese) [白福忠, 饶长辉 2010 物理学报 59 4056]

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    Millerd J E, Martinek S J, Brock N J, Hayes J B, Wyant J C 2004 Proc. SPIE 5380 422

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    Neal R M, Wyant J C 2006 Appl. Opt. 45 3463

    [17]

    Gong L 2008 M. S. Dissertation (Changchun: Changchun University of Science and Technology) (in Chinese) [宫磊 2008 硕士学位论文 (长春: 长春理工大学)]

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    Li Y S 1998 Laser Tech. 22 98 (in Chinese) [李又生 1998 激光技术 22 98]

    [19]

    Born M, Wolf E 1999 Principles of Optics (7th ed) (Cambridge: Cambridge University Press)

    [20]

    Zhang Z G, Dong F L, Zhang Q C, Chu W G, Qiu K, Cheng T, Gao J, Wu X P 2014 Acta Phys. Sin. 63 184204 (in Chinese) [张志刚, 董凤良, 张青川, 褚卫国, 仇康, 程腾, 高杰, 伍小平 2014 物理学报 63 184204]

    [21]

    Kang G G, Tan Q F, Chen W L, Li Q Q, Jin W Q, Jin G F 2011 Acta Phys. Sin. 60 014218 (in Chinese) [康果果, 谭峤峰, 陈伟力, 李群庆, 金伟其, 金国藩 2011 物理学报 60 014218]

    [22]

    Li J Z, Huang Y S, Wang Z F, Wang Q, Zhang D W, Zhuang S L 2013 Acta Phys. Sin. 62 144214 (in Chinese) [凌进中, 黄元申, 王中飞, 王琦, 张大伟, 庄松林 2013 物理学报 62 144214]

    [23]

    Chen X Y, Shan M 2004 Opto-Elec. Eng. 31 65 (in Chinese) [陈西园, 单明 2004 光电工程 31 65]

  • [1]

    Luo Q, Huang L H, Gu N T, Rao C H 2012 Chin. Phys. B 21 094201

    [2]

    Luo Q, Huang L H, Gu N T, Li F, Rao C H 2012 Acta Phys. Sin. 61 069501 (in Chinese) [罗群, 黄林海, 顾乃庭, 李斐, 饶长辉 2012 物理学报 61 069501]

    [3]

    Mu T K, Zhang C M 2010 Chin. Phys. B 19 060702

    [4]

    Li C H, Xian H, Jiang W H, Rao C H 2007 Acta Phys. Sin. 56 4289 (in Chinese) [李超宏, 鲜浩, 姜文汉, 饶长辉 2007 物理学报 56 4289]

    [5]

    Smartt R N, Strong J 1972 J. Opt. Soc. Am. 62 726

    [6]

    Paturzo M, Pignatiello F, Grilli S 2006 Opt. Lett. 45 3463

    [7]

    Claudio R, Eva O, Claudio I 2013 Opt. Ex. 21 8116

    [8]

    Wang D D, Wang F M, Yang Y Y 2013 Optik 124 5481

    [9]

    Gao P, Harder I, Nercissian V, Mantel K, Yao B L 2010 Opt. Lett. 35 712

    [10]

    Medecki H, Tejnil E, Goldberg K A, Bokor J 1996 Opt. Lett. 21 1526

    [11]

    Sugisaki K, Okada M, Zhu Y C, Otaki K, Liu Z Q, Kawakami J, Ishii M, Saito J, Murakami K, Hasegawa M, Ouchi C, Kato S, Hasegawa T, Suzuki A, Yokota H, Niibe M, Takeda M 2005 Proc. SPIE 5921 59210D

    [12]

    Ouchi C, Kato S, Hasegawa M, Hasegawa T, Yokota H, Sugisaki K, Okada M, Murakami K, Saito J, Niibe M, Takeda M 2016 Proc. SPIE 6152 61522O

    [13]

    Wang G Y, Zheng Y L, Sun A M, Wu S D, Wang Z J 1991 Opt. Lett. 16 1352

    [14]

    Bai F Z, Rao C H 2010 Acta Phys. Sin. 59 4056 (in Chinese) [白福忠, 饶长辉 2010 物理学报 59 4056]

    [15]

    Millerd J E, Martinek S J, Brock N J, Hayes J B, Wyant J C 2004 Proc. SPIE 5380 422

    [16]

    Neal R M, Wyant J C 2006 Appl. Opt. 45 3463

    [17]

    Gong L 2008 M. S. Dissertation (Changchun: Changchun University of Science and Technology) (in Chinese) [宫磊 2008 硕士学位论文 (长春: 长春理工大学)]

    [18]

    Li Y S 1998 Laser Tech. 22 98 (in Chinese) [李又生 1998 激光技术 22 98]

    [19]

    Born M, Wolf E 1999 Principles of Optics (7th ed) (Cambridge: Cambridge University Press)

    [20]

    Zhang Z G, Dong F L, Zhang Q C, Chu W G, Qiu K, Cheng T, Gao J, Wu X P 2014 Acta Phys. Sin. 63 184204 (in Chinese) [张志刚, 董凤良, 张青川, 褚卫国, 仇康, 程腾, 高杰, 伍小平 2014 物理学报 63 184204]

    [21]

    Kang G G, Tan Q F, Chen W L, Li Q Q, Jin W Q, Jin G F 2011 Acta Phys. Sin. 60 014218 (in Chinese) [康果果, 谭峤峰, 陈伟力, 李群庆, 金伟其, 金国藩 2011 物理学报 60 014218]

    [22]

    Li J Z, Huang Y S, Wang Z F, Wang Q, Zhang D W, Zhuang S L 2013 Acta Phys. Sin. 62 144214 (in Chinese) [凌进中, 黄元申, 王中飞, 王琦, 张大伟, 庄松林 2013 物理学报 62 144214]

    [23]

    Chen X Y, Shan M 2004 Opto-Elec. Eng. 31 65 (in Chinese) [陈西园, 单明 2004 光电工程 31 65]

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Publishing process
  • Received Date:  26 January 2016
  • Accepted Date:  11 February 2016
  • Published Online:  05 June 2016

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