SHAN Xiao-qin, ZHU Ri-hong, LI Jian-xin. Phase extraction for single frame interferogram-based on 2D Fourier transform[J]. Journal of Applied Optics, 2013, 34(5): 802-808.
Citation: SHAN Xiao-qin, ZHU Ri-hong, LI Jian-xin. Phase extraction for single frame interferogram-based on 2D Fourier transform[J]. Journal of Applied Optics, 2013, 34(5): 802-808.

Phase extraction for single frame interferogram-based on 2D Fourier transform

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  • For the interferometric testing of optical elements with large aperture, due to large testing device and interferometric cavity length, the process of phaseshifting interferometry was affected by airflow disturbance and environmental vibration. In order to overcome the above factors, a single interferogram processing method based on two-dimensional fast Fourier transform(FFT) was proposed. This method only required one single spatial carrier fringe pattern to obtain the phase, which had the advantage of anti-vibration testing. The basic principle and the process of algorithm were analyzed, and the optical element with 600 mm large aperture in the near-infrared phase-shifting Fizeau interferometer was tested. Experimental results show that the peaktovalley (PV) value and root mean square (RMS) value of the wavefront obtained by FFT method are 0.112 and 0.014 respectively, compared with the results obtained by phase-shifting method, there are a difference less tham (1/500) in PV and almost zero difference in RMS.
  • [1]WOLFE C R, LAWSON J K. The measurement and analysis of wavefront structure from large aperture ICF optics[J]. SPIE, 1997, 2633: 361-385.
    [2]彭翰生, 张小民, 范滇元,等. 高功率固体激光装置的发展与工程科学问题[J]. 中国工程科学, 2001, 3(3): 1-8.
    PENG Han-sheng , ZHANG Xiao-min, FAN Dian-yuan, et al. Status of high-power solid-state lasers and engineering science [J]. Engineering Science, 2001, 3(3): 1-8.(in Chinese with an English abstract)
    [3]张蓉竹. ICF系统光学元件高精度波前检测技术研究[D]. 成都:四川大学, 2003.
    ZHANG Rong-zhu. Studies on high-accuracy wavefront test techniques of optical components in ICF[D]. Chengdu:Sichuan University, 2003.(in Chinese)
    [4]苏大图, 沈海龙, 陈进榜,等. 光学测量与像质鉴定[M]. 北京:北京工业学院出版社, 1988.
    SU Da-tu, SHEN Hai-long, CHEN Jin-bang,et al. Optical measurement and analysis of image quality [M]. Beijing :Beijing Institute of Technology Press, 1988.(in Chinese)
    [5]陈进榜, 朱家正. 空间扫描和傅里叶变换算法分析干涉图[J]. 兵工学报, 1989(4): 24-31.
      CHEN Jin-bang, ZHU Jia-zheng. Spatial scannning method and FFT algorithm for analyzing interferogram [J]. Acta Armamentar, 1989(4): 24-31.(in Chinese with an English abstract)
    [6]朱日宏, 陈磊, 王青, 等. 移相干涉测量术及其应用[J]. 应用光学, 2006, 27(2): 85-88.
      ZHU Ri-hong, CHEN Lei, WANG Qing, et al. Phase-shift interferometry and its application [J]. Journal of Applied Optics, 2006, 27(2): 85-88. (in Chinese with an English abstract)
    [7]BONE D J, BACHOR H A, SANDEMAN R J. Fringe-pattern analysis using a 2-D Fourier transform [J]. Applied Optics, 1986, 25(10): 1653-1660.
    [8]RODDIER C, RODIER F. Interferogram analysis using Fourier transform techniques [J]. Applied Optics, 1987, 26(9): 1668-1673.
    [9]李顺光.用二维FFT法测量量块参数[D].南京:南京理工大学,1991.
    LI Shun-guang. Measurement of the gauge block parameters based on FFT [D]. Nanjing:Nanjing University of Science and Technology, 1991.(in Chinese)
    [10]葛锦蔓, 苏俊宏. 干涉图的预处理技术研究[J]. 应用光学, 2009, 30(6): 992-995.
      GE Jin-man, SU Jun-hong. Investigation of interferogram pre-processing[J]. Journal of Applied Optics, 2009, 30(6): 992-995. (in Chinese with an English abstract)
    [11]TAKEDA M. Spatial carrier heterodyne techniques for precision interferometry and profilometry: an overview [J]. SPIE, 1989, 1121: 73-88.
    [12]CRIMINISI A, PEREZ P, KENTARO T. Region filling and object removal by exemplar-based image inpaiting [J]. IEEE Transactions on Image Processing, 2004, 13(9): 1200-1212.
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