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基于Hilbert变换实现数字全息高精度相位重建

范锋 栗军香 宋修法 朱巧芬 王华英

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基于Hilbert变换实现数字全息高精度相位重建

范锋, 栗军香, 宋修法, 朱巧芬, 王华英

High accuracy phase reconstruction of digital hologram by Hilbert transform

Fan Feng, Li Jun-Xiang, Song Xiu-Fa, Zu Qiao-Fen, Wang Hua-Ying
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  • 为了提高数字全息相位重建精度,研究了基于Hilbert变换重建相位的理论和方法,并通过像面数字全息实验对该方法的有效性进行了验证,同时与数字全息常规重建方法得到的结果进行了比较. 结果表明:Hilbert变换本身具有消除直流项的作用,对利用频域滤波滤除零级谱后的全息图进行Hilbert变换,能够彻底消除零级衍射项的干扰,从而提高相位重建精度. 与常规重建结果相比,基于Hilbert变换的相位重建结果的标准偏差降低了14.0%. 本文结果对提高数字全息相位重建精度具有重要的指导意义.
    To improve the phase accuracy of the reconstructed image of the digital hologram, we investigate the theory and method of the phase reconstruction based on the Hilbert transform, then, verify it by the image plane digital holographic experiment, and finally, compare it with the conventional digital holographic reconstruction method. Results show that Hilbert transform itself posseses the effect of eliminating DC term, therefore the effect of the zero-order frequency spectrum of the hologram which is filtered by frequency domain can be completely eliminated by Hilbert transform. Compared with the conventional Fourier reconstruction mehtod, the accuracy of the phase image can be improved by the reconstruction method based on Hilbert transform, and the standard deviation of the phase image is reduced by 14% in the experiment of red blood cell. This result has an important guiding significance to improve the accuracy of the digital holographic phase reconstruction.
    • 基金项目: 国家自然科学基金(批准号:61077001和61144005),河北省自然科学基金(批准号:F2010001038,A2013402036和F2014402090),河北省科技支撑计划(批准号:09277101D)和河北省教育厅科技计划重点项目(批准号:ZH2011241)资助的课题.
    • 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. F2010001038, A2013402036, F2014402090), the Key Technology Research and Development Program of Hebei Province, China (Grant No. 09277101D), and the Key Project of Education Depatrment of Hebei Province(Grant No.ZH2011241).
    [1]

    Hao Y, Asundi A 2011 Appl. Opt. 50 183

    [2]

    Das B, Yelleswarapu C S, Rao L N 2012 Appl. Opt. 51 1387

    [3]

    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]

    [4]

    Li J C, Lou Y L, Gui Z B, Peng Z J, Song Q H 2013 Acta Phys. Sin. 62 124203(in Chinese) [李俊昌, 楼宇丽, 桂进赋, 彭祖杰, 宋庆和 2013 物理学报 62 124203]

    [5]

    Zhang Y Z, Guohai S, Giancarlo P, Wang D Y, Bahram J, Wolfgang O 2013 Opt. Commun. 286 56

    [6]

    Granero L, Zzlevsky Z, Mico V 2011 Opt. Lett. 17 1149

    [7]

    Hussain A, Mudassar A A 2012 Opt. Commun. 285 2303

    [8]

    Wang H Y, Ma J, Yuan C 2013 J. Opt. Commun. 307 50

    [9]

    Li Y, Xiao W, Pan F, Rong L 2013 Hig. Pow. Las. Par. Bea. 25 1345

    [10]

    Rostami Y, Abolhassani 2013 M. Optik 124 2101

    [11]

    Ma Z H, Deng L J, Yang Y, Zhai H C, Ge Q 2013 Opt. Exp. 21 28314

    [12]

    Chandra S S, Nicolas P, Christian D, Michael U 2011 J. Opt. Soc. Ame. 28 983

    [13]

    Pan W Q, Lu W, Zhu Y J, Wang J Z 2009 Chin. Opt. Lett. 7 1

    [14]

    Xiong L D, Jia S H 2010 Acta Pho. Sin. 39 1678(in Chinese) [熊六东, 贾书海, 杜艳芬 2010 光子学报 39 1678]

    [15]

    Hou R N 2013 Las. Tech 37 362(in Chinese) [侯瑞宁 2013 激光技术 37 362]

    [16]

    Wang H Y, Zhang Z H, Liao W, Song X F, Guo Z J, Liu F F 2012 Acta. Phys. Sin. 61 250(in Chinese) [王华英, 张志会, 廖薇, 宋修法, 郭中甲, 刘飞飞 2012 物理学报 61 250]

    [17]

    Wang H Y, Zhang Z H, Liao W, Guo Z J, Liu F F 2012 J. Opt. Laser 23 402 (in Chinese) [王华英, 张志会, 廖薇, 郭中甲, 刘飞飞 2012 光电子激光 23 402]

  • [1]

    Hao Y, Asundi A 2011 Appl. Opt. 50 183

    [2]

    Das B, Yelleswarapu C S, Rao L N 2012 Appl. Opt. 51 1387

    [3]

    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]

    [4]

    Li J C, Lou Y L, Gui Z B, Peng Z J, Song Q H 2013 Acta Phys. Sin. 62 124203(in Chinese) [李俊昌, 楼宇丽, 桂进赋, 彭祖杰, 宋庆和 2013 物理学报 62 124203]

    [5]

    Zhang Y Z, Guohai S, Giancarlo P, Wang D Y, Bahram J, Wolfgang O 2013 Opt. Commun. 286 56

    [6]

    Granero L, Zzlevsky Z, Mico V 2011 Opt. Lett. 17 1149

    [7]

    Hussain A, Mudassar A A 2012 Opt. Commun. 285 2303

    [8]

    Wang H Y, Ma J, Yuan C 2013 J. Opt. Commun. 307 50

    [9]

    Li Y, Xiao W, Pan F, Rong L 2013 Hig. Pow. Las. Par. Bea. 25 1345

    [10]

    Rostami Y, Abolhassani 2013 M. Optik 124 2101

    [11]

    Ma Z H, Deng L J, Yang Y, Zhai H C, Ge Q 2013 Opt. Exp. 21 28314

    [12]

    Chandra S S, Nicolas P, Christian D, Michael U 2011 J. Opt. Soc. Ame. 28 983

    [13]

    Pan W Q, Lu W, Zhu Y J, Wang J Z 2009 Chin. Opt. Lett. 7 1

    [14]

    Xiong L D, Jia S H 2010 Acta Pho. Sin. 39 1678(in Chinese) [熊六东, 贾书海, 杜艳芬 2010 光子学报 39 1678]

    [15]

    Hou R N 2013 Las. Tech 37 362(in Chinese) [侯瑞宁 2013 激光技术 37 362]

    [16]

    Wang H Y, Zhang Z H, Liao W, Song X F, Guo Z J, Liu F F 2012 Acta. Phys. Sin. 61 250(in Chinese) [王华英, 张志会, 廖薇, 宋修法, 郭中甲, 刘飞飞 2012 物理学报 61 250]

    [17]

    Wang H Y, Zhang Z H, Liao W, Guo Z J, Liu F F 2012 J. Opt. Laser 23 402 (in Chinese) [王华英, 张志会, 廖薇, 郭中甲, 刘飞飞 2012 光电子激光 23 402]

计量
  • 文章访问数:  2029
  • PDF下载量:  445
  • 被引次数: 0
出版历程
  • 收稿日期:  2014-04-30
  • 修回日期:  2014-06-06
  • 刊出日期:  2014-10-05

基于Hilbert变换实现数字全息高精度相位重建

  • 1. 河北工程大学理学院, 邯郸 056038;
  • 2. 河北工程大学临床医学院, 邯郸 056002
    基金项目: 

    国家自然科学基金(批准号:61077001和61144005),河北省自然科学基金(批准号:F2010001038,A2013402036和F2014402090),河北省科技支撑计划(批准号:09277101D)和河北省教育厅科技计划重点项目(批准号:ZH2011241)资助的课题.

摘要: 为了提高数字全息相位重建精度,研究了基于Hilbert变换重建相位的理论和方法,并通过像面数字全息实验对该方法的有效性进行了验证,同时与数字全息常规重建方法得到的结果进行了比较. 结果表明:Hilbert变换本身具有消除直流项的作用,对利用频域滤波滤除零级谱后的全息图进行Hilbert变换,能够彻底消除零级衍射项的干扰,从而提高相位重建精度. 与常规重建结果相比,基于Hilbert变换的相位重建结果的标准偏差降低了14.0%. 本文结果对提高数字全息相位重建精度具有重要的指导意义.

English Abstract

参考文献 (17)

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