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Far-field speckle generated by weak scattering screen is a central bright spots, around which is a speckle structure similar to the normal speckle. According to the far-field speckle produced by weak scattering screen, it is assumed that the image plane speckle of weak scattering screen is the result of coherent superposition of both uniform background and normal speckle. However, there exists a discrepancy between the assumption and the actual image plane speckle. Based on the above circumstances, the statistical properties are studied about the image plane speckle fields produced by Gaussian correlation weak scattering screens in the 4f optical imaging system of high-pass filter. It is found that the above assumption is correct when the surface roughness of the weak scattering screen and the wavelength of the incident light wave are almost the same.
[1] Liu P S 1987 Fundamentals of statistical optics of speckles ( Beijing: Science Press) p7 (in Chinese) [刘培森 1987 散斑统计光学基础 (北京: 科学出版社) 第7页]
[2] Sprague R A 1972 Appl. Opt. 11 2811
[3] Fujii H, Asakura I, Shindo Y 1976 Opt. Soc. Am. 66 1217
[4] Fujii H, Asakura T 1977 Opt. Soc. Am. 67 1171
[5] Persson U 1993 Opt. Eng. 32 3327
[6] Cheng C F, Liu C X, Teng S Y, Zhang N Y, Li R X, Xu Z Z 2002 Chin. Phys. Lett. 19 1283
[7] Wang T, Zhao D M 2010 Chin. Phys. B 19 084201
[8] Wang F, Peng X S, M L S, Liu S Y, Jiang X H, Ding Y K 2012 Acta Phys. Sin. 61 135201 (in Chinese) [王峰, 彭晓世, 梅鲁生, 刘慎业, 蒋小华, 丁永坤 2012 61 135201]
[9] Goodman J W 1965 Proc. IEEE 531688
[10] Goodman J W 1967 J. Opt. Soc. Am. 57 493
[11] Vilkomerson D 1971 J. Opt. Soc. Am. 61 929
[12] Lee W H 1972 J. Opt. Soc. Am. 62 797
[13] Song H S, Cheng C F, Liu M, Teng S Y, Zhang N Y 2009 Acta Phys. Sin. 58 3887 (in Chinese) [宋洪胜, 程传福, 刘曼, 滕树云, 张宁玉 2009 58 3887 ]
[14] Liu M, Cheng C F, Song H S, Liu G Y, Teng S Y 2010 Acta Phys. Sin. 59 964 (in Chinese) [刘曼, 程传福, 宋洪胜, 刘桂媛, 滕树云 2010 59 964]
[15] Dainty J C 1975 Laser speckle and related phenomena (Berlin and New York: Springer-Verlag) p15
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[1] Liu P S 1987 Fundamentals of statistical optics of speckles ( Beijing: Science Press) p7 (in Chinese) [刘培森 1987 散斑统计光学基础 (北京: 科学出版社) 第7页]
[2] Sprague R A 1972 Appl. Opt. 11 2811
[3] Fujii H, Asakura I, Shindo Y 1976 Opt. Soc. Am. 66 1217
[4] Fujii H, Asakura T 1977 Opt. Soc. Am. 67 1171
[5] Persson U 1993 Opt. Eng. 32 3327
[6] Cheng C F, Liu C X, Teng S Y, Zhang N Y, Li R X, Xu Z Z 2002 Chin. Phys. Lett. 19 1283
[7] Wang T, Zhao D M 2010 Chin. Phys. B 19 084201
[8] Wang F, Peng X S, M L S, Liu S Y, Jiang X H, Ding Y K 2012 Acta Phys. Sin. 61 135201 (in Chinese) [王峰, 彭晓世, 梅鲁生, 刘慎业, 蒋小华, 丁永坤 2012 61 135201]
[9] Goodman J W 1965 Proc. IEEE 531688
[10] Goodman J W 1967 J. Opt. Soc. Am. 57 493
[11] Vilkomerson D 1971 J. Opt. Soc. Am. 61 929
[12] Lee W H 1972 J. Opt. Soc. Am. 62 797
[13] Song H S, Cheng C F, Liu M, Teng S Y, Zhang N Y 2009 Acta Phys. Sin. 58 3887 (in Chinese) [宋洪胜, 程传福, 刘曼, 滕树云, 张宁玉 2009 58 3887 ]
[14] Liu M, Cheng C F, Song H S, Liu G Y, Teng S Y 2010 Acta Phys. Sin. 59 964 (in Chinese) [刘曼, 程传福, 宋洪胜, 刘桂媛, 滕树云 2010 59 964]
[15] Dainty J C 1975 Laser speckle and related phenomena (Berlin and New York: Springer-Verlag) p15
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