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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.
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Keywords:
- digital holography /
- image-plane digital holography /
- Hilbert transform /
- phase reconstruction
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[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]
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