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There are two sampling models of digital hologram in digital holographic research. The complex mathematical operation is involved in these two models, thereby leading to different results frequently and inconvenient theoretical analysis and practical application. Based on the analysis of physical processes in recording digital hologram and the study on geometry structure of CCD detector, the two sampling models are simplified into the same mathematical expression in this paper. Through studying the simplified model with cosine series expansion of digital hologram and sampling theorem, it is shown that the model has clear physical meanings and can be used for application study conveniently. Using the simplified model, we study digital holographic recording system with optical system and exact wavefront reconstruction expression verified in experiment.
[1] Goodman J W, Lawrence R W 1967 Appl. Phys. Lett. 11 77
[2] Huang T 1971 Proc. IEEE 159 1335
[3] Zhang T, Yamaguchi I 1998 Opt. Lett. 23 1221
[4] Seebacher S, Osten W, Baumbach T, Juptner W 2001 Opt. Lasers Eng. 36 103
[5] Thomas K 2002 Opt. Eng. 41 771
[6] Thomas K 2002 Opt. Eng. 41 1829
[7] Guo C S, Zhang L, Rong Z Y, Wang H T 2003 Opt. Eng. 42 2768
[8] Thomas K 2003 Opt. Eng. 42 2772
[9] Thomas K 2004 Handbook of Holographic Interferometry Optical and Digital Methods (Weinheim: Wiley-VCH) p141
[10] Qian X F, Zhang L, Dong K P 2006 Acta Photon. Sin. 35 1565 (in Chinese) [钱晓凡, 张磊, 董可平2006 光子学报 35 1565]
[11] Picart P, Leval J 2008 J. Opt. Soc. Am. A 25 1744
[12] Li J C, Zhang Y P, Xu W 2009 Acta Phys. Sin. 58 5385 (in Chinese) [李俊昌, 张亚萍, 许尉 2009 物理学报 58 5385]
[13] L Q N, Chen Y L, Yuan R, Ge B Z, Gao Y, Zhang Y M 2009 Appl. Opt. 48 7000
[14] Zhou W J, Hu W T, Guo L, Xu Q S, Yu Y J 2010 Acta Phys. Sin. 59 8499 (in Chinese) [周文静, 胡文涛, 郭路, 徐强胜, 于瀛洁 2010 物理学报, 59 8499]
[15] Hu H F, Wang X L, Guo 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]
[16] Gao P, Yao B L, Min J W, Guo R L, Ma B H, Zheng J J, Lei M, Yan S H, Dan D, Ye T 2012 Opt. Lett. 37 3630
[17] Goodman J W 2006 An Introduction to Fourier Optics (3nd Ed.) (Beijing: Publishing House of Electronics Industry) pp12, 99, 141 (in Chinese) [Goodman J W 2006 傅里叶光学导论(第三版)(中译本) (北京: 电子工业出版社) 第12, 99, 141页]
[18] Gonzalez R C, Richard E W, Steven L E 2005 Digital Image Processing Using MATLAB (Beijing: Publishing House of Electronics Industry) pp239-246 (in Chinese) [冈萨雷斯, 数字图像处理(MATLAB版) (中译本) (北京: 电子工业出版社, 第239–246页]
[19] Picart P, Moisson E, Mounier D 2003 Appl. Opt. 42 1947
[20] Collins S A 1970 J. Opt. Soc. Am. 60 1168
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[1] Goodman J W, Lawrence R W 1967 Appl. Phys. Lett. 11 77
[2] Huang T 1971 Proc. IEEE 159 1335
[3] Zhang T, Yamaguchi I 1998 Opt. Lett. 23 1221
[4] Seebacher S, Osten W, Baumbach T, Juptner W 2001 Opt. Lasers Eng. 36 103
[5] Thomas K 2002 Opt. Eng. 41 771
[6] Thomas K 2002 Opt. Eng. 41 1829
[7] Guo C S, Zhang L, Rong Z Y, Wang H T 2003 Opt. Eng. 42 2768
[8] Thomas K 2003 Opt. Eng. 42 2772
[9] Thomas K 2004 Handbook of Holographic Interferometry Optical and Digital Methods (Weinheim: Wiley-VCH) p141
[10] Qian X F, Zhang L, Dong K P 2006 Acta Photon. Sin. 35 1565 (in Chinese) [钱晓凡, 张磊, 董可平2006 光子学报 35 1565]
[11] Picart P, Leval J 2008 J. Opt. Soc. Am. A 25 1744
[12] Li J C, Zhang Y P, Xu W 2009 Acta Phys. Sin. 58 5385 (in Chinese) [李俊昌, 张亚萍, 许尉 2009 物理学报 58 5385]
[13] L Q N, Chen Y L, Yuan R, Ge B Z, Gao Y, Zhang Y M 2009 Appl. Opt. 48 7000
[14] Zhou W J, Hu W T, Guo L, Xu Q S, Yu Y J 2010 Acta Phys. Sin. 59 8499 (in Chinese) [周文静, 胡文涛, 郭路, 徐强胜, 于瀛洁 2010 物理学报, 59 8499]
[15] Hu H F, Wang X L, Guo 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]
[16] Gao P, Yao B L, Min J W, Guo R L, Ma B H, Zheng J J, Lei M, Yan S H, Dan D, Ye T 2012 Opt. Lett. 37 3630
[17] Goodman J W 2006 An Introduction to Fourier Optics (3nd Ed.) (Beijing: Publishing House of Electronics Industry) pp12, 99, 141 (in Chinese) [Goodman J W 2006 傅里叶光学导论(第三版)(中译本) (北京: 电子工业出版社) 第12, 99, 141页]
[18] Gonzalez R C, Richard E W, Steven L E 2005 Digital Image Processing Using MATLAB (Beijing: Publishing House of Electronics Industry) pp239-246 (in Chinese) [冈萨雷斯, 数字图像处理(MATLAB版) (中译本) (北京: 电子工业出版社, 第239–246页]
[19] Picart P, Moisson E, Mounier D 2003 Appl. Opt. 42 1947
[20] Collins S A 1970 J. Opt. Soc. Am. 60 1168
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