Volume 43 Issue 4
May  2014
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Deng Wantao, Wang Kaiwei, Bai Jian, Zhang Jinchun. Elimination of reference surface error on high-accuracy subaperture stitching[J]. Infrared and Laser Engineering, 2014, 43(4): 1194-1199.
Citation: Deng Wantao, Wang Kaiwei, Bai Jian, Zhang Jinchun. Elimination of reference surface error on high-accuracy subaperture stitching[J]. Infrared and Laser Engineering, 2014, 43(4): 1194-1199.

Elimination of reference surface error on high-accuracy subaperture stitching

  • Received Date: 2013-08-09
  • Rev Recd Date: 2013-09-11
  • Publish Date: 2014-04-25
  • Sub-aperture stitching can be used to measure large optical aperture with a relatively smaller aperture interferometer. In the process of sub-aperture testing, if reference surface error is taken into consideration, the stitching result will deviate from truth. As a result, obtaining and compensating reference surface error is necessary. An approach was proposed to obtain and compensate reference surface error by fitting overlap data of each sub-aperture with Zernike terms. A series of Zernike terms were added into traditional stitching function, the form of reference surface that characterized by a Zernike polynomial was obtained by using the least-square method. Experiments had been done on flat and sphere sub-aperture stitching, which were then compared with QED's result. The deviation of PV and RMS of these two results are less than 5 nm and 0.2 nm respectively. At the same time, the mismatch of stitching aperture is less than 10 nm. Experimental result proves that reference surface error can be compensated in the process of sub-aperture stitching and stitching aperture is more accurate.
  • [1]
    [2] Baz in G, Journet B. A new laser range-finder based on FMCW-like method [C]//IEEE Instrumentation and Measurement Technology Conference, 1996, 1: 90-93.
    [3] Murphy P E, Flejg J, Forbes G, et al. High precision metrology of domes and aspheric optics [C]//SPIE, 2005, 5786: 113-121
    [4]
    [5]
    [6] Wang Xiaokun, Zheng Ligong, Zhang Binzhi, et al. Subaperture stitching interferometry for testing a large hyperboloid [J]. Infrared and Laser Engineering, 2009, 38 (1): 114-119. (in Chinese)
    [7] Wang Xiaokun, Zheng Ligong, Zhang Xuejun, et al. Testing an off-axis asphere by subaperture stitching interferometry[J]. Acta Photonica Sinica, 2011, 40(1): 92-97. (in Chinese)
    [8]
    [9] Wang Xiaokun, Wang Lihui. Measurement of large aspheric surfaces by annular subaperture stitching interferometry [J]. Chinese Optics Letters, 2007, 11(5): 645-647. (in Chinese)
    [10]
    [11] Ding Lingyan, Dai Yifan, Chen Shanyong. Experiments of sub-aperture stitching interferometry for flat mirrors [J]. Optics and Precision Engineering, 2008, 16 (6):978-985. (in Chinese)
    [12]
    [13]
    [14] Hou Xi, Wu Fan, Yang Li, et al. Wavefront fitting with Zernike annular polynomials for circular and annular pupils[J]. Infrared and Laser Engineering, 2006, 35 (5): 523-526. (in Chinese)
    [15] Creath Katherine, Wyant James C. Absolute measurement of spherical surfaes [C]//SPIE, 1990, 1332: 1-7.
    [16]
    [17]
    [18] Jia Xin, Xing Tingwen, Wei Haoming, et al. Analysis and simulation of absolute test of flats decomposed to even and odd functions [J]. Infrared and Laser Engineering, 2012, 41 (2): 500-505. (in Chinese)
    [19] Li Guopei, Yu Yingjie, Chen Mingyi. Stitching technique by error averaging [J]. Optics and Precision Engineering, 2001, 9(6): 561-564. (in Chinese)
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Elimination of reference surface error on high-accuracy subaperture stitching

  • 1. State Key Laboratory of Modern Optical Instrumentation,Zhejiang University,Hangzhou 310027,China

Abstract: Sub-aperture stitching can be used to measure large optical aperture with a relatively smaller aperture interferometer. In the process of sub-aperture testing, if reference surface error is taken into consideration, the stitching result will deviate from truth. As a result, obtaining and compensating reference surface error is necessary. An approach was proposed to obtain and compensate reference surface error by fitting overlap data of each sub-aperture with Zernike terms. A series of Zernike terms were added into traditional stitching function, the form of reference surface that characterized by a Zernike polynomial was obtained by using the least-square method. Experiments had been done on flat and sphere sub-aperture stitching, which were then compared with QED's result. The deviation of PV and RMS of these two results are less than 5 nm and 0.2 nm respectively. At the same time, the mismatch of stitching aperture is less than 10 nm. Experimental result proves that reference surface error can be compensated in the process of sub-aperture stitching and stitching aperture is more accurate.

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