中国物理B ›› 2010, Vol. 19 ›› Issue (7): 74204-074204.doi: 10.1088/1674-1056/19/7/074204

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Experimental study of regional fractal speckle produced in large angle scattering

程传福1, 滕树云1, 宋洪胜2, 刘桂媛2, 刘云燕3   

  1. (1)College of Physics and Electronics, Shandong Normal University, Jinan 250014, China; (2)College of Physics and Electronics, Shandong Normal University, Jinan 250014, China;School of Science, Shandong Jianzhu University, Jinan 250101, China; (3)College of Physics and Electronics, Shandong Normal University, Jinan 250014, China;School of Science, Shandong University of Technology, Zibo 255049, China
  • 收稿日期:2009-07-10 出版日期:2010-07-15 发布日期:2010-07-15
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 10674085 and 10874105), the Science and Technology Research Project of Shandong Province of China (Grant No. 2009GG10001005), the Shandong Distingushed Middle-aged and Young Scientist Encourage and Reward Foundation, China (Grant No. 2007BS04031), and the State Key Development Program for Basic Research of China (Grant No. 2006CB806003).

Experimental study of regional fractal speckle produced in large angle scattering

Song Hong-Sheng(宋洪胜)a)b), Cheng Chuan-Fu(程传福)a)†, Liu Yun-Yan(刘云燕)a)c), Liu Gui-Yuan(刘桂媛)a)b), and Teng Shu-Yun(滕树云)a)   

  1. a College of Physics and Electronics, Shandong Normal University, Jinan 250014, China; b School of Science, Shandong Jianzhu University, Jinan 250101, China; c School of Science, Shandong University of Technology, Zibo 255049, China
  • Received:2009-07-10 Online:2010-07-15 Published:2010-07-15
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 10674085 and 10874105), the Science and Technology Research Project of Shandong Province of China (Grant No. 2009GG10001005), the Shandong Distingushed Middle-aged and Young Scientist Encourage and Reward Foundation, China (Grant No. 2007BS04031), and the State Key Development Program for Basic Research of China (Grant No. 2006CB806003).

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摘要： Using the interference of speckle and the spherical reference wave, we extract the real and the imaginary parts of the complex amplitudes of the speckle in large angle scattering. By calculating the spatial correlation functions of intensity, we find that the speckle has a property of regional fractality, i.e. the fractal exponent equals 1 in a small spatial region and it becomes less than 1 in a bigger region. The empirical analytic expression of the intensity correlation function is gained. The probability density distributions of the intensities and the complex amplitudes show that the regional fractal speckle still obeys zero-mean circular complex Gaussian statistics.

Abstract: Using the interference of speckle and the spherical reference wave, we extract the real and the imaginary parts of the complex amplitudes of the speckle in large angle scattering. By calculating the spatial correlation functions of intensity, we find that the speckle has a property of regional fractality, i.e. the fractal exponent equals 1 in a small spatial region and it becomes less than 1 in a bigger region. The empirical analytic expression of the intensity correlation function is gained. The probability density distributions of the intensities and the complex amplitudes show that the regional fractal speckle still obeys zero-mean circular complex Gaussian statistics.

Key words: regional fractal, speckle, Gaussian distribution

中图分类号:  (Speckle and moiré patterns)

  • 42.30.Ms
05.45.Df (Fractals) 02.50.Ng (Distribution theory and Monte Carlo studies) 42.79.Ci (Filters, zone plates, and polarizers)