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Chin. Phys. B, 2010, Vol. 19(12): 124202    DOI: 10.1088/1674-1056/19/12/124202
CLASSICAL AREAS OF PHENOMENOLOGY Prev   Next  

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
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.
Keywords:  fractal      speckle      extremely deep Fresnel diffraction region  
Received:  27 December 2009      Revised:  24 February 2010      Accepted manuscript online: 
PACS:  42.25.Fx (Diffraction and scattering)  
  42.30.Ms (Speckle and moiré patterns)  
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

[1] Goodman J W 2000 Statistical Optics (New York: Wiley) p. 347
[2] Dainty J C 1984 Laser Speckle and Related Phenomena (Berlin: Springer-Verlag)
[3] Skipetrov S E 2003 Opt. Lett. 28 646
[4] Song H S, Cheng C F, Teng S Y, Liu M, Liu G Y and Zhang N Y 2009 Acta Phys. Sin. 58 7654 (in Chinese)
[5] Liu M, Cheng C F, Song H S, Teng S Y and Liu G Y 2009 Acta Phys. Sin. 58 5376 (in Chinese)
[6] Song H S, Cheng C F, Liu M, Teng S Y and Zhang N Y 2009 Acta Phys. Sin. 58 3887 (in Chinese)
[7] Dixon P K and Durian D J 2003 Phys. Rev. Lett. 90 184302
[8] Williams G J, Pfeifer M A, Vartanyants I A and Robinson I K 2003 Phys. Rev. Lett. 90 175501
[9] Pierce M S, Moore R G, Sorensen L B, Kevan S D, Hellwig O, Fullerton E E and Kortright J B 2003 Phys. Rev. Lett. 90 175502
[10] Van Cittert P H 1934 Physica (Utrecht) 1 202
[11] Zernike F 1938 Physica (Utrecht) 5 785
[11] Cerbino R 2007 Phys. Rev. A 75 053815
[12] Gatti A, Magatti D and Ferri F 2008 Phys. Rev. A 78 063806
[13] Teng S Y, Cheng C F, Liu M, Gui W L and Xu Z Z 2005 Chin. Phys. 14 1990
[14] Ogilvy J A 1991 Theory of Wave Scattering from Random Rough Surfaces (London: Hilger)
[15] Lopez J M 1999 Phys. Rev. Lett. 83 4594
[16] Qi D P, Liu D L, Teng S Y, Zhang N Y and Cheng C F 2000 Acta Phys. Sin. 49 1260 (in Chinese)
[17] Sinha S K, Sirota E B and Garoff S 1987 Phys. Rev. B 38 2297
[18] Feder J 1996 Fractals (New York: Plenum)
[19] Goodman J W 1965 Proc. IEEE 53 1688
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