Volume 45 Issue 2
Mar.  2016
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Li Bo, Ma Suodong. Path-independent phase unwrapping method using zonal reconstruction technique[J]. Infrared and Laser Engineering, 2016, 45(2): 229006-0229006(9). doi: 10.3788/IRLA201645.0229006
Citation: Li Bo, Ma Suodong. Path-independent phase unwrapping method using zonal reconstruction technique[J]. Infrared and Laser Engineering, 2016, 45(2): 229006-0229006(9). doi: 10.3788/IRLA201645.0229006

Path-independent phase unwrapping method using zonal reconstruction technique

doi: 10.3788/IRLA201645.0229006
  • Received Date: 2015-06-05
  • Rev Recd Date: 2015-07-10
  • Publish Date: 2016-02-25
  • The phase unwrapping methods are widely used in the field of optical testing, which can be divided into the path dependant type and the path independent type. Generally, the former is faster but more sensitive to the noises, while the latter is more robust but suffers from the problems of slow iterative speed and high time consuming. To solve this problem, a new path independent phase unwrapping method was proposed, which was based on the zonal reconstruction technique. Using this method the wrapped phase in the rectangle pupil can be unwrapped directly without any iteration, and the sample-recombining acceleration strategy was designed to reduce the calculation time greatly which made the algorithm faster than other path independent methods. In addition, to unwrap the phase in the irregular pupil the Gerchberg type iteration was used which can converge in a few steps. The precision of the direct unwrapping for the regular pupil was validated by the simulations, as well as the effect of the acceleration strategy. Besides, the ability to process irregular pupil problem was demonstrated by unwrapping the phase obtained in the experiment.
  • [1]
    [2] Zhao Zhiliang, Xia Bocai, Chen Lihua, et al. Self-correction of phase step error in phase shifting interferometric measurement[J]. Optics and Precision Engineering, 2013, 21(5):1116-1121.(in Chinese)
    [3]
    [4] Zeng Wenwen, Zhong Xiaopin, Li Jingzhen. Retrieving phase from single interferogram by interval inversion method[J]. Infrared and Laser Engineering, 2014, 43(9):3151-3156.(in Chinese)
    [5]
    [6] Dai Xiaoke, Jin Chunshui, Yu Jie. Analysis on error and tolerance for the wavefront reference source of point diffraction interferometer[J]. Chinese Optics, 2014, 7(5):855-862.(in Chinese)
    [7] Wang Yongwei, Ai Hua, Zhuo Renshan, et al. Wavefront reconstruction of interferometry by DCT algorithm[J]. Chinese Optics, 2014, 7(6):855-862.(in Chinese)
    [8]
    [9] Tian Ailing, Liu Ting, Liu Jian, et al. High precision wavefront reconstruction technology for single interferogram[J]. Infrared and Laser Engineering, 2015, 44(4):1203-1207.(in Chinese)
    [10]
    [11] Zhang Min, Sui Yongxin, Yang Huaijiang. Mechanical error compensation algorithm for subaperture stitching interferometry[J]. Optics and Precision Engineeing, 2015, 23(4):934-940.(in Chinese)
    [12]
    [13]
    [14] Goldstein R M, Zebker H A, Werner C L. Satellite radar interferometry-two-dimensional phase unwrapping[J]. Radio Science, 1988, 23(4):713-720.
    [15]
    [16] Cusack R, Huntley J M, Goldrein H T. Improved noise-immune phase-unwrapping algorithm[J]. Applied Optics, 1995, 34(5):781-789.
    [17] Herraez M A, Burton D R, Lalor M J, et al. Fast two-dimensional phase-unwrapping algorithm based on sorting by reliability following a noncontinuous path[J]. Applied Optics, 2002, 41(35):7437-7444.
    [18]
    [19]
    [20] Lu Yuangang, Zhao Wancheng, Zhang Xuping, et al. Weighted-phase-gradient-based quality maps for two-dimensional quality-guided phase unwrapping[J]. Optics and Lasers in Engineering, 2012, 50(10):1397-1404.(in Chinese)
    [21]
    [22] Ghiglia D C, Romero L A. Robust two-dimensional weighted and unweighted phase unwrapping that uses fast transforms and iterative methods[J]. J Opt Soc Am A, 1994, 11(1):107-117.
    [23] Pritt M D. Phase unwrapping by means of multigrid techniques for interferometric SAR[J]. IEEE Transactions on Geoscience and Remote Sensing, 1996, 34(3):728-738.
    [24]
    [25] Fengzhao Dai, Feng Tang, Xiangzhao Wang, et al. Generalized zonal wavefront reconstruction for high spatial resolution in lateral shearing interferometry[J]. J Opt Soc Am A, 2012, 29(9):2038-2047.
    [26]
    [27] Southwell W H. Wave-front estimation from wave-front slope measurements[J]. Journal of the Optical Society of America, 1980, 70(8):998-1009.
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Path-independent phase unwrapping method using zonal reconstruction technique

doi: 10.3788/IRLA201645.0229006
  • 1. Nanjing Institute of Astronomical Optics & Technology,National Astronomical Observatories,Chinese Academy of Sciences,Nanjing 210042,China;
  • 2. Key Laboratory of Astronomical Optics & Technology,Chinese Academy of Sciences,Nanjing 210042,China;
  • 3. Key Lab of Modern Optical Technologies of Education Ministry of China,College of Physics,Optoelectronics and Energy,Soochow University,Suzhou 215006,China;
  • 4. Key Lab of Advanced Optical Manufacturing Technologies of Jiangsu Province,Soochow University,Suzhou 215006,China

Abstract: The phase unwrapping methods are widely used in the field of optical testing, which can be divided into the path dependant type and the path independent type. Generally, the former is faster but more sensitive to the noises, while the latter is more robust but suffers from the problems of slow iterative speed and high time consuming. To solve this problem, a new path independent phase unwrapping method was proposed, which was based on the zonal reconstruction technique. Using this method the wrapped phase in the rectangle pupil can be unwrapped directly without any iteration, and the sample-recombining acceleration strategy was designed to reduce the calculation time greatly which made the algorithm faster than other path independent methods. In addition, to unwrap the phase in the irregular pupil the Gerchberg type iteration was used which can converge in a few steps. The precision of the direct unwrapping for the regular pupil was validated by the simulations, as well as the effect of the acceleration strategy. Besides, the ability to process irregular pupil problem was demonstrated by unwrapping the phase obtained in the experiment.

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