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Effect of pinhole diameter on measurement accuracy of self-referencing interferometer wavefront sensor

Bai Fu-Zhong Rao Chang-Hui

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Effect of pinhole diameter on measurement accuracy of self-referencing interferometer wavefront sensor

Bai Fu-Zhong, Rao Chang-Hui
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  • The diameter of pinhole is a critical element that affects the measurement accuracy of self-referencing interferometer wavefront sensor (SRIWFS), and its dimension is determined by the accuracy requirement of practical measurement and the intensity transmission. The effects of pinhole diameter on quality and intensity transmission of reference wave are analyzed on the basis of the Fourier optics theory, and then they are verified by numerical simulation and experiment. These results demonstrate that to obtain a good approximation to a reference wave, the pinhole diameter should equal half of the Airy-disk diameter produced by an unaberrated optic. In this way, the root-mean-square value of the reference wavefront is less than λ/100 for all aberrations with the peak-to-valley value of not smaller than one wavelength. These theoretical analyses and experimental results provide a valuable reference and illumination for determining the dimension of pinhole along with the analysis or design of SRIWFS for various testing tasks.
    [1]

    [1] Rhoadarmer T A 2004 Proc. SPIE 5553 112

    [2]

    [2] Smartt R N, Steel W H 1975 Jpn. J. Appl. Phys. 14 351

    [3]

    [3] Ning Y, Yu H, Zhou H, Rao C H, Jiang W H 2009 Acta Phys. Sin. 58 4717 (in Chinese)[宁禹、余浩、周虹、饶长辉、 姜文汉 2009 58 4717]

    [4]

    [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 56 4289]

    [5]

    [5] Fried D L 1998 J. Opt. Soc. Am. A 15 2759

    [6]

    [6] Feldman M, Mockler D J 1991 Proc. SPIE 1542 490

    [7]

    [7] Lin H 2007 M.S. Thesis (Beijing: Graduate University of Chinese Academy of Sciences) (in Chinese) [林衡 2007 硕士学位论文 (北京:中国科学院研究生院)]

    [8]

    [8] Mercer C R, Creath K 1996 Appl. Opt. 35 1633

    [9]

    [9] Kwon O Y 1984 Opt. Lett. 9 59

    [10]

    ] Mercer C R, Creath K 1994 Opt. Lett. 19 916

    [11]

    ] Mercer C R, Creath K 1996 Appl. Opt. 35 1633

    [12]

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

    [13]

    ] Corley M S, Rhoadarmer T A 2005 Proc. SPIE 5894 59840R

    [14]

    ] Schmit J, Creath K 1995 Appl. Opt. 34 3610

    [15]

    ] Koliopoulos C, Kwon O, Shagam R, Wyant J C, Hayslett C R 1978 Opt. Lett. 3 118

    [16]

    ] Acosta E, Chamadoira S 2006 J. Opt. Soc. Am. A 23 632

    [17]

    ] Cai D M, Yao J, Jiang W H 2009 Acta Opt. Sin. 29 285 (in Chinese) [蔡冬梅、姚军、姜文汉 2009 光学学报 29 285]

    [18]

    ] Cai D M, Ling N, Jiang W H 2008 Acta Phys. Sin. 57 897 (in Chinese) [蔡冬梅、凌宁、姜文汉 2008 57 897]

    [19]

    ] Ge A M, Sui Z, Xu K S 2003 Acta Phys. Sin. 52 2481 (in Chinese) [葛爱明、隋展、徐克寿 2003 52 2481]

  • [1]

    [1] Rhoadarmer T A 2004 Proc. SPIE 5553 112

    [2]

    [2] Smartt R N, Steel W H 1975 Jpn. J. Appl. Phys. 14 351

    [3]

    [3] Ning Y, Yu H, Zhou H, Rao C H, Jiang W H 2009 Acta Phys. Sin. 58 4717 (in Chinese)[宁禹、余浩、周虹、饶长辉、 姜文汉 2009 58 4717]

    [4]

    [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 56 4289]

    [5]

    [5] Fried D L 1998 J. Opt. Soc. Am. A 15 2759

    [6]

    [6] Feldman M, Mockler D J 1991 Proc. SPIE 1542 490

    [7]

    [7] Lin H 2007 M.S. Thesis (Beijing: Graduate University of Chinese Academy of Sciences) (in Chinese) [林衡 2007 硕士学位论文 (北京:中国科学院研究生院)]

    [8]

    [8] Mercer C R, Creath K 1996 Appl. Opt. 35 1633

    [9]

    [9] Kwon O Y 1984 Opt. Lett. 9 59

    [10]

    ] Mercer C R, Creath K 1994 Opt. Lett. 19 916

    [11]

    ] Mercer C R, Creath K 1996 Appl. Opt. 35 1633

    [12]

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

    [13]

    ] Corley M S, Rhoadarmer T A 2005 Proc. SPIE 5894 59840R

    [14]

    ] Schmit J, Creath K 1995 Appl. Opt. 34 3610

    [15]

    ] Koliopoulos C, Kwon O, Shagam R, Wyant J C, Hayslett C R 1978 Opt. Lett. 3 118

    [16]

    ] Acosta E, Chamadoira S 2006 J. Opt. Soc. Am. A 23 632

    [17]

    ] Cai D M, Yao J, Jiang W H 2009 Acta Opt. Sin. 29 285 (in Chinese) [蔡冬梅、姚军、姜文汉 2009 光学学报 29 285]

    [18]

    ] Cai D M, Ling N, Jiang W H 2008 Acta Phys. Sin. 57 897 (in Chinese) [蔡冬梅、凌宁、姜文汉 2008 57 897]

    [19]

    ] Ge A M, Sui Z, Xu K S 2003 Acta Phys. Sin. 52 2481 (in Chinese) [葛爱明、隋展、徐克寿 2003 52 2481]

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  • Abstract views:  9491
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  • Cited By: 0
Publishing process
  • Received Date:  21 September 2009
  • Accepted Date:  25 January 2010
  • Published Online:  05 March 2010

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