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Correlation and fractal properties of speckles in the extremely deep Fresnel diffraction region |
Song Hong-Sheng(宋洪胜)a)b), Liu Man(刘曼)c), Liu Gui-Yuan(刘桂媛)a)b), Xu Zhi-Wei(徐芝伟) b), Teng Shu-Yun(滕树云)b), and Cheng Chuan-Fu(程传福) b)† |
a School of Science, Shandong Jianzhu University, Jinan 250101, China; b College of Physics and Electronics, Shandong Normal University, Jinan 250014, China; c School of Mathematical and Physical Sciences, Shandong Institute of Light Industry, Jinan 250100, China |
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Abstract Based on the Kirchhoff approximation and the theoretical analysis of the random light fields, the speckle intensity distributions in the extremely deep Fresnel diffraction region are simulated. The fractal property of the speckles as well as the relation between the speckle intensity distribution and the corresponding random surface is investigated. We design a microscope system to detect experimentally the speckles in the extremely deep Fresnel diffraction region, and the experimental results prove the conclusions drawn from our simulations.
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Received: 27 December 2009
Revised: 24 February 2010
Accepted manuscript online:
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PACS:
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42.25.Fx
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(Diffraction and scattering)
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42.30.Ms
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(Speckle and moiré patterns)
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Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 10974122 and 10874105), the Science and Technology Research Project of Shandong Province of China (Grant No. 2009GG10001005), the Shandong Distinguished Middle-aged and Young Scientist Encourage and Reward Foundation, China (Grant Nos. 2007BS04031 and BS2009SF020), and the State Key Development Program for Basic Research of China (Grant No. 2006CB806003). |
Cite this article:
Song Hong-Sheng(宋洪胜), Liu Man(刘曼), Liu Gui-Yuan(刘桂媛), Xu Zhi-Wei(徐芝伟), Teng Shu-Yun(滕树云), and Cheng Chuan-Fu(程传福) Correlation and fractal properties of speckles in the extremely deep Fresnel diffraction region 2010 Chin. Phys. B 19 124202
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