中国物理B ›› 2010, Vol. 19 ›› Issue (12): 124202-124202.doi: 10.1088/1674-1056/19/12/124202

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Correlation and fractal properties of speckles in the extremely deep Fresnel diffraction region

徐芝伟1, 滕树云1, 程传福1, 刘曼2, 宋洪胜3, 刘桂媛3   

  1. (1)College of Physics and Electronics, Shandong Normal University, Jinan 250014, China; (2)School of Mathematical and Physical Sciences, Shandong Institute of Light Industry, Jinan 250100, China; (3)School of Science, Shandong Jianzhu University, Jinan 250101, China;College of Physics and Electronics, Shandong Normal University, Jinan 250014, China
  • 收稿日期:2009-12-27 修回日期:2010-02-24 出版日期:2010-12-15 发布日期:2010-12-15
  • 基金资助:
    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).

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)†   

  1. 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
  • Received:2009-12-27 Revised:2010-02-24 Online:2010-12-15 Published:2010-12-15
  • Supported by:
    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).

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摘要： 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.

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.

Key words: fractal, speckle, extremely deep Fresnel diffraction region

中图分类号:  (Diffraction and scattering)

  • 42.25.Fx
42.30.Ms (Speckle and moiré patterns)