Phase-Shift Extraction and Wavefront Reconstruction in Generalized Phase-Shifting Interferometry with a Standard Phase Object

  • Received Date: February 28, 2013
  • Revised Date: August 28, 2013
  • Published Date: August 31, 2013
  • A method to extract phase shifts and reconstruct the object wave in generalized phase-shifting interferometry (GPSI) is proposed. The phase distribution of a standard phase object and the least-square method are used to extract phase shifts over a wide range from 0 to π. Consequently, the tested object wave can be further reconstructed with the extracted phase shifts. It is accurate and applicable for GPSI of any frame number N (N≥2). Computer simulation has verified its feasibility and validity.
  • Article Text

  • [1] Bruning J H, Herriott D R, Gallagher J E, Rosenfeld D P, White A D and Brangaccio D J 1974 Appl. Opt. 13 2693 doi: 10.1364/AO.13.002693
    [2] Shen X X, Yang X L, Cai L Z, Wang Y R, Dong G Y, Meng X F and Xu X F 2008 Chin. Phys. Lett. 25 3972
    [3] Qu W J, Liu D A, Zhi Y N, Luan Z and Liu L R 2007 Chin. Phys. Lett. 24 539
    [4] Ma Z H, Wang R K, Zhang F and Yao J Q 2006 Chin. Phys. Lett. 23 366
    [5] Meng X F, Peng X, Cai L Z, He W Q, Qin W, Guo J P and Li A M 2010 Acta Phys. Sin. 59 6118 (in Chinese)
    [6] Greivenkamp J E 1984 Opt. Eng. 23 234350
    [7] Stoilov G and Dragostinov T 1997 Opt. Lasers Eng. 28 61
    [8] Lai G and Yatagai T 1991 J. Opt. Soc. Am. A 8 822
    [9] Cai L Z, Liu Q and Yang X L 2003 Opt. Lett. 28 1808
    [10] Xu X F, Cai L Z and Wang Y R 2008 Opt. Lett. 33 776
    [11] Cai L Z, Liu Q and Yang X L 2004 Opt. Lett. 29 183
    [12] Xu X F, Cai L Z, Wang Y R and Li D L 2010 Chin. Phys. Lett. 27 024215
    [13] Meng X F, Cai L Z, Wang Y R and Peng X 2009 Acta Phys. Sin. 58 1668 (in Chinese)
    [14] Kadono H and Toyooka S 1991 Opt. Lett. 16 883
    [15] Guo C S and Zhang L 2002 Opt. Lett. 27 1687
    [16] Gao P, Yao B L, Lindlein N, Mantel K, Harder I and Geist E 2009 Opt. Lett. 34 3553
    [17] Chen X, Gramaglia M and Yeazell J A 2000 Appl. Opt. 39 585
    [18] Wang Z Y and Han B 2006 Opt. Lasers Eng. 45 274
    [19] Wang Z Y and Han B 2004 Opt. Lett. 29 1671
    [20] Guo H W, Yu Y J and Chen M Y 2007 J. Opt. Soc. Am. A 24 25
    [21] Xu X F, Cai L Z, Wang Y R, Meng X F, Zhang H, Dong G Y and Shen X X 2007 Opt. Commun. 273 54
    [22] Bothe T, Burke J and Helmers H 1997 Appl. Opt. 36 5310
  • Related Articles

    [1]ZHOU Ya-Ting, SHI Yue-Chun, LI Si-Min, LIU Sheng-Chun, CHEN Xiang-Fei. A Special Sampling Structure with an Arbitrary Equivalent-Phase-Shift for Semiconductor Lasers and Multiwavelength Laser Arrays [J]. Chin. Phys. Lett., 2011, 28(7): 074207. doi: 10.1088/0256-307X/28/7/074207
    [2]XU Xian-Feng, CAI Lu-Zhong, WANG Yu-Rong, LI Dai-Lin. Accurate Phase Shift Extraction for Generalized Phase-Shifting Interferometry [J]. Chin. Phys. Lett., 2010, 27(2): 024215. doi: 10.1088/0256-307X/27/2/024215
    [3]ZHANG Dong-Fang, QIAN Lie-Jia, WANG Ke, ZHU He-Yuan. Influence of Cascaded Nonlinear Phase Shifts on Second-Harmonic Generation in High-Intensity Pumped QPM Structures [J]. Chin. Phys. Lett., 2008, 25(10): 3685-3688.
    [4]ZHONG Pu-Cha, BAO Wan-Su. Research on Quantum Searching Algorithms Based on Phase Shifts [J]. Chin. Phys. Lett., 2008, 25(8): 2774-2777.
    [5]ZHANG Ying-Tao, HE Chen-Juan, LI Hong-Guo, WANG Kai-Ge. Novel Ghost Imaging Method for a Pure Phase Object [J]. Chin. Phys. Lett., 2008, 25(7): 2481-2484.
    [6]WANG Wan-Ying, WANG Chuan, WEN Kai, LONG Gui-Lu. Quantum Key Distribution Network Based on Differential Phase Shift [J]. Chin. Phys. Lett., 2007, 24(6): 1463-1466.
    [7]YANG Qing-Guo, SUN Jian-Feng, LIU Li-Ren. Phase-Space Analysis of Wavefront Coding Imaging Systems [J]. Chin. Phys. Lett., 2006, 23(8): 2080-2083.
    [8]MA Zhen-He, Ruikang K. WANG, ZHANG Fan, YAO Jian-Quan. Arbitrary Three-Phase Shifting Algorithm for Achieving Full Range Spectral Optical Coherence Tomography [J]. Chin. Phys. Lett., 2006, 23(2): 366-369.
    [9]MA Zhen-He, Ruikang K. Wang, ZHANG Fan, YAO Jian-Quan. Spectral Optical Coherence Tomography Using Two-Phase Shifting Method [J]. Chin. Phys. Lett., 2005, 22(8): 1909-1912.
    [10]SHEN Dan-xun, GU Wan-yi, XU Da-xiong. Analysis of Distributed Phase Shift in Distributed Feedback Semiconductor Lasers [J]. Chin. Phys. Lett., 1999, 16(10): 721-722.

Catalog

    Article views (0) PDF downloads (406) Cited by()

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return