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Regarding the object scattering light as a superposition of light waves emitting from a lots of point sources on object surface of which phases have random values, in the paper, wee investigate the diffracted field of digital holographic reconstructed image and defocused image. The definition of depth of focal (DOF) is also given based on the feature that the reconstructed image is displayed in pixels. According to the characteristic that the physical dimensions of pixel are associated with computation method, focal depth expressions are deduced when image is reconstructed with different algorithms. Finally, experimental verification is given.
[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 Optics and Lasers in Engineering 36 103
[5] Desse J M, Albe F, Tribillon J L 2002 Appl. Opt. 41 5326
[6] Lü Q N, GE B Z, Zhang Y M 2005 J. 0ptoelectronics bullet Laser 16 85 (in Chinese) [吕且妮, 葛宝臻, 张以谟 2005 光电子·激光 16 85]
[7] Chen G L, Lin C Y, Kuo M K, Chang C C 2008 Appl. Phys. B 90 527
[8] Xu L, Peng X, Guo Z, Mia J, Asundi A 2005 Opt. Express 13 2444
[9] Picart P, Leval J 2008 J. Opt. Soc. Am. A 25 1744
[10] Wang H Y, Zhao B Q, Song X F 2009 Acta Opt. Sin. 29 374 (in Chinese) [王华英, 赵宝群, 宋修法 2009 光学学报 29 374]
[11] Zhao J L, Jiang H H, Di J L 2008 Opt. Express 16 2514
[12] Lü Q N, Chen Y L, Yuan R, Ge B Z, Gao Y, Zhang Y M 2009 Appl. Opt. 48 7000
[13] Wang X L, Zhang N, Zhao Y B, Li Z L, Zhai H C, Zhu X N 2008 Acta Phys. Sin. 57 354 (in Chinese) [王晓雷, 张楠, 赵友博, 李智磊, 翟宏琛, 朱晓农 2008 57 354]
[14] Zhou W J, Hu W T, Guo L, Xu Q S and Yu Y J 2010 Acta Phys. Sin. 59 8499 [周文静, 胡文涛, 郭路, 徐强胜, 于瀛洁 2010 59 8499]
[15] Hu H F, Wang X L, Guo W G, Zhai H C, Wang P 2011 Acta Phys. Sin. 60 017901 [胡浩丰, 王晓雷, 郭文刚, 翟宏琛, 王攀 2011 60 017901]
[16] Li J C, Peng Z J, Tankam P, Song Q H, Picart P 2011 JOSA A 28 1291
[17] Born M, Wolf E 2005 Principles of Optics (7th Ed.) (Beijing: Publishing House Dlectronics Industry), p391 (in Chinese) [玻恩, 沃尔夫. 光学原理[M]. 杨葭孙译, 北京: 2005电子工业出版社, 第391页]
[18] Goodman J W 2006 An Introduction to Fourier Optics (3nd Ed) (Beijing: Publishing House of Electronics Industry) pp12, 99, 141 [Goodman J W, 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]
[19] Chen J B, Su X Y, 2008 Optical Information Technique Principes & Applications (2nd Ed), Beijing: Higher education Press, p379 (in Chinese) [陈家璧, 苏显渝 主编, 光学信息技术原理及应用 (第2版) [M], 2008 北京: 高等教育出版社: 第379页]
[20] Kreis T M 2002 Opt. Eng. 41 771
[21] Li J C, Xiong B H 2009 Optical Information, 2011 (Beijing: Science Press), pp32, 49, 160, 214 (in Chinese) [李俊昌, 熊秉衡, 信息光学教程, 2011 北京: 科学出版社, 第32, 49, 160, 214页]
[22] Zhang Y M 2008 Applied Optics (3nd Ed), 2008 (Beijing: Publishing House of Electronics Industry), p 117 (in Chinese) [张以谟, 应用光学 (第3版), 2008 (北京: 电子工业出版社), 第117页]
[23] Li J C, Song Q H, Gui J B, Peng Z J, Lou Y L 2011 Acta Opt. Sin. 31 0900135 (in Chinese) [李俊昌, 宋庆和, 桂进斌, 彭祖杰, 楼宇丽 2011 光学学报 31 0900135]
[24] Li J C 2011 Chin. J. Laser 38 0501001 (in Chinese) [李俊昌 2011 中国激光 38 0501001]
[25] Li J C, Peng Z J, Fu Y C 2011 Chin. Phys. Lett. 28 064201
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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 Optics and Lasers in Engineering 36 103
[5] Desse J M, Albe F, Tribillon J L 2002 Appl. Opt. 41 5326
[6] Lü Q N, GE B Z, Zhang Y M 2005 J. 0ptoelectronics bullet Laser 16 85 (in Chinese) [吕且妮, 葛宝臻, 张以谟 2005 光电子·激光 16 85]
[7] Chen G L, Lin C Y, Kuo M K, Chang C C 2008 Appl. Phys. B 90 527
[8] Xu L, Peng X, Guo Z, Mia J, Asundi A 2005 Opt. Express 13 2444
[9] Picart P, Leval J 2008 J. Opt. Soc. Am. A 25 1744
[10] Wang H Y, Zhao B Q, Song X F 2009 Acta Opt. Sin. 29 374 (in Chinese) [王华英, 赵宝群, 宋修法 2009 光学学报 29 374]
[11] Zhao J L, Jiang H H, Di J L 2008 Opt. Express 16 2514
[12] Lü Q N, Chen Y L, Yuan R, Ge B Z, Gao Y, Zhang Y M 2009 Appl. Opt. 48 7000
[13] Wang X L, Zhang N, Zhao Y B, Li Z L, Zhai H C, Zhu X N 2008 Acta Phys. Sin. 57 354 (in Chinese) [王晓雷, 张楠, 赵友博, 李智磊, 翟宏琛, 朱晓农 2008 57 354]
[14] Zhou W J, Hu W T, Guo L, Xu Q S and Yu Y J 2010 Acta Phys. Sin. 59 8499 [周文静, 胡文涛, 郭路, 徐强胜, 于瀛洁 2010 59 8499]
[15] Hu H F, Wang X L, Guo W G, Zhai H C, Wang P 2011 Acta Phys. Sin. 60 017901 [胡浩丰, 王晓雷, 郭文刚, 翟宏琛, 王攀 2011 60 017901]
[16] Li J C, Peng Z J, Tankam P, Song Q H, Picart P 2011 JOSA A 28 1291
[17] Born M, Wolf E 2005 Principles of Optics (7th Ed.) (Beijing: Publishing House Dlectronics Industry), p391 (in Chinese) [玻恩, 沃尔夫. 光学原理[M]. 杨葭孙译, 北京: 2005电子工业出版社, 第391页]
[18] Goodman J W 2006 An Introduction to Fourier Optics (3nd Ed) (Beijing: Publishing House of Electronics Industry) pp12, 99, 141 [Goodman J W, 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]
[19] Chen J B, Su X Y, 2008 Optical Information Technique Principes & Applications (2nd Ed), Beijing: Higher education Press, p379 (in Chinese) [陈家璧, 苏显渝 主编, 光学信息技术原理及应用 (第2版) [M], 2008 北京: 高等教育出版社: 第379页]
[20] Kreis T M 2002 Opt. Eng. 41 771
[21] Li J C, Xiong B H 2009 Optical Information, 2011 (Beijing: Science Press), pp32, 49, 160, 214 (in Chinese) [李俊昌, 熊秉衡, 信息光学教程, 2011 北京: 科学出版社, 第32, 49, 160, 214页]
[22] Zhang Y M 2008 Applied Optics (3nd Ed), 2008 (Beijing: Publishing House of Electronics Industry), p 117 (in Chinese) [张以谟, 应用光学 (第3版), 2008 (北京: 电子工业出版社), 第117页]
[23] Li J C, Song Q H, Gui J B, Peng Z J, Lou Y L 2011 Acta Opt. Sin. 31 0900135 (in Chinese) [李俊昌, 宋庆和, 桂进斌, 彭祖杰, 楼宇丽 2011 光学学报 31 0900135]
[24] Li J C 2011 Chin. J. Laser 38 0501001 (in Chinese) [李俊昌 2011 中国激光 38 0501001]
[25] Li J C, Peng Z J, Fu Y C 2011 Chin. Phys. Lett. 28 064201
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