Volume 45 Issue 3
Apr.  2016
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Wang Yufei, Da Zhengshang. Numerical simulation and analysis of wavefront reconstruction in radial shearing interference[J]. Infrared and Laser Engineering, 2016, 45(3): 317001-0317001(5). doi: 10.3788/IRLA201645.0317001
Citation: Wang Yufei, Da Zhengshang. Numerical simulation and analysis of wavefront reconstruction in radial shearing interference[J]. Infrared and Laser Engineering, 2016, 45(3): 317001-0317001(5). doi: 10.3788/IRLA201645.0317001

Numerical simulation and analysis of wavefront reconstruction in radial shearing interference

doi: 10.3788/IRLA201645.0317001
  • Received Date: 2015-07-05
  • Rev Recd Date: 2015-08-03
  • Publish Date: 2016-03-25
  • In order to acquire the original wavefront information in radial shearing interferometry, wavefront reconstruction is necessary, the iterative algorism for wavefront reconstruction was deduced in this paper, based on which an numerical simulation using Matlab with different iteration number and shearing ratio was conducted. The simulation comes to the following conclusion: Properly selection of the shearing ratio can simplify the computational complexity. Compared with the small distortion wavefront reconstruction, more but appropriate iteration number in large distortion wavefront reconstruction is needed. Preferred shearing ratios for different measured wavefront PV values are summarized as follows: a. if WPV 10, beta 0.7; b. if 6 WPV 10, 0.5 beta 0.7; c. if WPV 6, beta 0.5.
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    [3] Barnes A R, Smith L C. A combined phase,near and far field diagnostic for large aperture laser system[C]//SPIE, 1999, 3492:564-672.
    [4] Tsuguo Kohno, Daiji Matsumoto, Takanori Yazawa, et al. Radial shearing interferometer for in-process measurement of diamond turning[J]. Opt Eng, 2000, 39(10):2696-2699.
    [5] Waldemar Kowalik, Beata Garncarz, Henryk Kasprzak. Corneal topography measurement by means of radial shearing interference:Part II-measurement errors[J]. Optik, 2003, 114(5):199-206.
    [6] Toto-Arellano N I, Rodriguez-Zurita G, Meneses-Fabian C, et al. A single-shot phase-shifting radial-shearing interferometer[J]. Journal of optics A:Pure and Applied Optics, 2009, 0457(045704):1-6.
    [7] Feng Sheng, Wu Jian, Zheng Chunyan. Radial shearing interferometer[J]. Infrared and Laser Engineering, 2008, 37(5):188-192. (in Chinese)冯胜, 吴健, 郑春燕. 径向剪切干涉仪[J]. 红外与激光工程, 2008, 37(5):188-192.
    [8] Du Yongzhao, Feng Guoying, Zhang Kai, et al. Effect of CCD nonlinearity on wavefront detection by shearing interferometry[J]. High Power Laser and Particle Beams, 2010, 22(8):1775-1779. (in Chinese)杜永兆, 冯国英, 张凯, 等. 非线性效应对剪切干涉法波前检测的影响[J]. 强激光与粒子束, 2010, 22(8):1775-1779.
    [9] Jin Yafang. The study of radial shearing interference wavefront reconstruction algorithm[D]. Nanjing:Nanjing:Nanjing University of Science and Technology, 2011:14. (in Chinese)金亚方. 径向剪切干涉波面重构算法研究[D]. 南京:南京理工大学, 2011:14.
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Numerical simulation and analysis of wavefront reconstruction in radial shearing interference

doi: 10.3788/IRLA201645.0317001
  • 1. Xi'an Institute of Optics and Precision Mechanics,Chinese Academy of Sciences,Xi'an 710119,China

Abstract: In order to acquire the original wavefront information in radial shearing interferometry, wavefront reconstruction is necessary, the iterative algorism for wavefront reconstruction was deduced in this paper, based on which an numerical simulation using Matlab with different iteration number and shearing ratio was conducted. The simulation comes to the following conclusion: Properly selection of the shearing ratio can simplify the computational complexity. Compared with the small distortion wavefront reconstruction, more but appropriate iteration number in large distortion wavefront reconstruction is needed. Preferred shearing ratios for different measured wavefront PV values are summarized as follows: a. if WPV 10, beta 0.7; b. if 6 WPV 10, 0.5 beta 0.7; c. if WPV 6, beta 0.5.

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