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Focal depth of digital lensless Fourier transform micro-holographic system

Wang Hua-Ying Zhang Zhi-Hui Liao Wei Song Xiu-Fa Guo Zhong-Jia Liu Fei-Fei

Focal depth of digital lensless Fourier transform micro-holographic system

Wang Hua-Ying, Zhang Zhi-Hui, Liao Wei, Song Xiu-Fa, Guo Zhong-Jia, Liu Fei-Fei
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  • Based on the Strehl criterion of coherent lens imaging system, the focal depth (FD) of lensless Fourier digital micro-holographic system is deduced. The FD expressions of the holographic systems with symmetrical and unsymmetrical reference point sources are obtained. The results show that the FD of lensless Fourier digital micro-holographic system is dependent not only on the optical wavelength and the numerical aperture of the recording system but also on the offset of the reference optical source, which is different from the FD of lensless Fourier digital micro-holographic system. The validities of the theoretical analysis are demonstrated by the computer simulations and experiments.
    • Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 61077001, 61144005), the Natural Science Foundation of Hebei Province, China(Grant Nos. F2008000750 and F2010001038), and the Key Technology Research and Development Program of Hebei Province (Grant No. 09277101D).
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    Hu H F, Wang X L, Li Z L, Zhang N, Zhai H C 2009 Acta. Phys. Sin. 58 7662 (in Chinese) [胡浩丰, 王晓雷, 李智磊, 张 楠, 翟宏琛 2009 物理学报 58 7662]

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    Hu H F, Wang X L, Gguo W G, Zhai H C, Wang P 2011 Acta. Phys. Sin. 60 017901 (in Chinese) [胡浩丰, 王晓雷, 郭文刚, 翟宏琛, 王 攀 2011 物理学报 60 017901]

    [15]

    Born M, Wolf H 2005 Principles of Optics (Beijing: Electronics Industry Press) p406 (in Chinese) [玻恩, 沃尔夫, 杨葭荪(译) 2005 光学原理(第七版)(北京:电子工业出版社)第406页]

    [16]

    Zhang W 2006 Study on color imaging technology with Multiwavelength digital holography (Kunming: Kunming University) p26 (in Chinese) [张维 2006 多波长数字全息彩色成像研究 (昆明:昆明理工大学)第26页]

    [17]

    Liu C, Zhu J Q 2002 High Power Laser and Particle Beams14328 (in Chinese) [刘诚, 朱建强 2002 强激光与粒子束 14 328]

    [18]

    Adams M, Kreis T, Jüptner W 2000 Proc. SPIE. 4101 314

    [19]

    Yamaguchi I, Kato J, Ohta S 2001 Appl. Opt. 40 6177

    [20]

    Wang H Y, Zhao B Q, Song X F 2009 Acta Optica Sinica 29 374 (in Chinese) [王华英, 赵宝群, 宋修法 2009 光学学报 29 374]

    [21]

    Kang H 1996 Imaging Optics (in Chinese) (Beijing: Electronics Industry Press) p239 (in Chinese) [康辉 1996 映像光学 (天津:南开大学出版社) 第239页]

    [22]

    Colomb T, Cuche E, Charri`ere F 2006 Appl. Opt. 45 851

  • [1]

    Kemper B, Bally G V 2008 Appl. Opt. 47 A52

    [2]

    Anand A, Chhaniwal V K, Javidi B 2010 J. Dis. Tech. 6 500

    [3]

    Miccio L, Finizio A, Puglisi R 2011 Bio.Opt. Exp. 2 331

    [4]

    Rajshekhar G, Gorthi S S, Rastogi P 2010 Opt. Exp. 18 18041

    [5]

    Olfatnia M, Singh V R, Xu T, Miao J M, Ong L S 2010 J. Micromech. Microeng 20 085013

    [6]

    Wang L, Zhao J L, Di J L, Jiang H Z 2011 Opt. Lett. 36 2710

    [7]

    Wang Y X,Wang D Y, Zhao J, Yang Y S, Xiao X Q, Cui H Q 2011 Chi. Opt. Lett. 9030901

    [8]

    Ding S H, Li Q, Li Y D, Wang Q 2011 Opt. Lett.361993

    [9]

    Barth R, Staier F, Simpson T, Mittler S, Eisebitt S, Grunze M, Rosenhahn A 2010 J. Biotechnol.149 238

    [10]

    Li J C, Fan Z B, Patrice T, Song Q H, Pascal P 2011 Acta. Phys. Sin. 60 034204 (in Chinese) [李俊昌, 樊则宾, Patrice T, 宋庆和, Pascal P 2011 物理学报 60 034204]

    [11]

    Cui H K,Wang D Y,Wang Y X, Liu C G, Zhao J, Li Y 2011 Acta. Phys. Sin. 60 044201 (in Chinese) [崔华坤, 王大勇, 王云新, 刘长庚, 赵洁, 李艳 2011 物理学报 60 044201]

    [12]

    Li H Y, Ma Z J, Zhong L Y, Lv X X 2011 Acta. Opt. Sin. 31 0509001 (in Chinese) [李红燕, 马志俭, 钟丽云, 吕晓旭 2011 光学学报 31 0509001]

    [13]

    Hu H F, Wang X L, Li Z L, Zhang N, Zhai H C 2009 Acta. Phys. Sin. 58 7662 (in Chinese) [胡浩丰, 王晓雷, 李智磊, 张 楠, 翟宏琛 2009 物理学报 58 7662]

    [14]

    Hu H F, Wang X L, Gguo W G, Zhai H C, Wang P 2011 Acta. Phys. Sin. 60 017901 (in Chinese) [胡浩丰, 王晓雷, 郭文刚, 翟宏琛, 王 攀 2011 物理学报 60 017901]

    [15]

    Born M, Wolf H 2005 Principles of Optics (Beijing: Electronics Industry Press) p406 (in Chinese) [玻恩, 沃尔夫, 杨葭荪(译) 2005 光学原理(第七版)(北京:电子工业出版社)第406页]

    [16]

    Zhang W 2006 Study on color imaging technology with Multiwavelength digital holography (Kunming: Kunming University) p26 (in Chinese) [张维 2006 多波长数字全息彩色成像研究 (昆明:昆明理工大学)第26页]

    [17]

    Liu C, Zhu J Q 2002 High Power Laser and Particle Beams14328 (in Chinese) [刘诚, 朱建强 2002 强激光与粒子束 14 328]

    [18]

    Adams M, Kreis T, Jüptner W 2000 Proc. SPIE. 4101 314

    [19]

    Yamaguchi I, Kato J, Ohta S 2001 Appl. Opt. 40 6177

    [20]

    Wang H Y, Zhao B Q, Song X F 2009 Acta Optica Sinica 29 374 (in Chinese) [王华英, 赵宝群, 宋修法 2009 光学学报 29 374]

    [21]

    Kang H 1996 Imaging Optics (in Chinese) (Beijing: Electronics Industry Press) p239 (in Chinese) [康辉 1996 映像光学 (天津:南开大学出版社) 第239页]

    [22]

    Colomb T, Cuche E, Charri`ere F 2006 Appl. Opt. 45 851

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  • Received Date:  03 July 2011
  • Accepted Date:  21 August 2011
  • Published Online:  05 February 2012

Focal depth of digital lensless Fourier transform micro-holographic system

  • 1. College of Science, Hebei University of Engineering, Handan 056038, China;
  • 2. Scholl of Information & Electrical Engineering, Hebei University of Engineering, Handan 056038, China
Fund Project:  Project supported by the National Natural Science Foundation of China (Grant Nos. 61077001, 61144005), the Natural Science Foundation of Hebei Province, China(Grant Nos. F2008000750 and F2010001038), and the Key Technology Research and Development Program of Hebei Province (Grant No. 09277101D).

Abstract: Based on the Strehl criterion of coherent lens imaging system, the focal depth (FD) of lensless Fourier digital micro-holographic system is deduced. The FD expressions of the holographic systems with symmetrical and unsymmetrical reference point sources are obtained. The results show that the FD of lensless Fourier digital micro-holographic system is dependent not only on the optical wavelength and the numerical aperture of the recording system but also on the offset of the reference optical source, which is different from the FD of lensless Fourier digital micro-holographic system. The validities of the theoretical analysis are demonstrated by the computer simulations and experiments.

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