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菲涅耳深区散斑强度统计特性及演化

宋洪胜 庄桥 刘桂媛 秦希峰 程传福

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菲涅耳深区散斑强度统计特性及演化

宋洪胜, 庄桥, 刘桂媛, 秦希峰, 程传福

Statistical characteristics and variation of speckle intensity in deep fresnel diffraction region

Song Hong-Sheng, Zhuang Qiao, Liu Gui-Yuan, Qin Xi-Feng, Cheng Chuan-Fu
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  • 利用直透光波和高斯散斑场的叠加理论和基尔霍夫近似研究了菲涅耳深区散斑的构成,给出了菲涅耳深区散斑场及其强度概率密度和对比度的表达式. 利用原子力显微镜测量的随机散射表面高度分布数据模拟菲涅耳深区不同散射距离处散斑,并计算绘出其强度概率密度和对比度曲线. 理论与模拟相结合研究这两个统计函数的特征和直透光强所占比例的影响,以及它们随散射距离的演化规律.
    Based on the coherent superposition principle of direct-transmited light with the Gaussian speckle field, and also with the Kirchhoff approximation, the speckle in the deep Fresnel diffraction region is investigated. Expressions of speckle field in the deep Fresnel diffraction region, and the probability density of intensity, and contrast are obtained. In the deep Fresnel diffraction region of different scattering distance the variation of speckles is simulated with the height distribution data of random scattering surface measured by atomic force microscopy, and the curves of these two statistic functions are drawn. Combining the theory with the simulation, characteristics of these two statistic functions, the effect of the fraction of the direct transmit light intensity as well as their variations with the scattering distance are discussed.
    • 基金项目: 山东省优秀中青年科学家科研奖励基金(批准号:BS2013DX030),国家自然科学基金(批准号:11374193)和山东省自然科学基金(批准号:ZR2011AM011)资助的课题.
    • Funds: Project supported by the Promotive Research Foundation for Excellent Young and Middle-aged Scientists of Shandong Province, China (Grant No. BS2013DX030), the National Natural Science Foundation of China (Grant No. 11374193), and the Natural Science Foundation of Shandong Province, China(Grant No. ZR2011AM011).
    [1]

    Goodman J W 2000 Statistical Optics (New York: Wiley) p347

    [2]

    Dainty J C 1984 Laser Speckle and Related Phenomena (Berlin: Spring-Verlag) p18, p29

    [3]

    Dixon P K, Durian D J 2003 Phys. Rev. Lett. 90 184302

    [4]

    Williams G, Pfeifer M, Vartanyants I, Robinson I 2003 Phys. Rev. Lett. 90 175501

    [5]

    Pierce M S, Moore R G, Sorensen L B, Kevan S D, Hellwig O, Fullerton E E, Kortright J B 2003 Phys. Rev. Lett. 90 175502

    [6]

    Zhang N Y Teng S Y, Song H S, Liu G Y, Cheng C F 2009 Chin. Phys. Lett. 26 034209

    [7]

    Cerbino R 2007 Phys. Rev. A 75 053815

    [8]

    Gatti A, Magatti D, Ferri F 2008 Phys. Rev. A 78 063806

    [9]

    Teng S Y, Cheng C F, Liu M, Gui W L, Xu Z Z 2005 Chin. Phys. 14 1990

    [10]

    Brogilio D, Vailati A, Giglio M 2002 Appl. Phys. Lett. 81 4109

    [11]

    Cheng C F 2004 Europhys. Lett. 65 73

    [12]

    Ogilvy J A 1991 Theory of wave scattering from random rough surfaces (California: Adam Hilger) p117

    [13]

    Song H S, Liu M, Liu G Y, Xu Z W, Teng S Y, Cheng C F 2010 Chin. Phys. B 19 124202

    [14]

    Goodman J W 2006 Speckle Phenomena in Optics (Greenwood: Roberts and Company) p31

  • [1]

    Goodman J W 2000 Statistical Optics (New York: Wiley) p347

    [2]

    Dainty J C 1984 Laser Speckle and Related Phenomena (Berlin: Spring-Verlag) p18, p29

    [3]

    Dixon P K, Durian D J 2003 Phys. Rev. Lett. 90 184302

    [4]

    Williams G, Pfeifer M, Vartanyants I, Robinson I 2003 Phys. Rev. Lett. 90 175501

    [5]

    Pierce M S, Moore R G, Sorensen L B, Kevan S D, Hellwig O, Fullerton E E, Kortright J B 2003 Phys. Rev. Lett. 90 175502

    [6]

    Zhang N Y Teng S Y, Song H S, Liu G Y, Cheng C F 2009 Chin. Phys. Lett. 26 034209

    [7]

    Cerbino R 2007 Phys. Rev. A 75 053815

    [8]

    Gatti A, Magatti D, Ferri F 2008 Phys. Rev. A 78 063806

    [9]

    Teng S Y, Cheng C F, Liu M, Gui W L, Xu Z Z 2005 Chin. Phys. 14 1990

    [10]

    Brogilio D, Vailati A, Giglio M 2002 Appl. Phys. Lett. 81 4109

    [11]

    Cheng C F 2004 Europhys. Lett. 65 73

    [12]

    Ogilvy J A 1991 Theory of wave scattering from random rough surfaces (California: Adam Hilger) p117

    [13]

    Song H S, Liu M, Liu G Y, Xu Z W, Teng S Y, Cheng C F 2010 Chin. Phys. B 19 124202

    [14]

    Goodman J W 2006 Speckle Phenomena in Optics (Greenwood: Roberts and Company) p31

计量
  • 文章访问数:  1929
  • PDF下载量:  566
  • 被引次数: 0
出版历程
  • 收稿日期:  2013-11-15
  • 修回日期:  2013-12-23
  • 刊出日期:  2014-05-05

菲涅耳深区散斑强度统计特性及演化

  • 1. 山东建筑大学理学院, 济南 250101;
  • 2. 山东师范大学物理与电子科学学院, 济南 250014
    基金项目: 

    山东省优秀中青年科学家科研奖励基金(批准号:BS2013DX030),国家自然科学基金(批准号:11374193)和山东省自然科学基金(批准号:ZR2011AM011)资助的课题.

摘要: 利用直透光波和高斯散斑场的叠加理论和基尔霍夫近似研究了菲涅耳深区散斑的构成,给出了菲涅耳深区散斑场及其强度概率密度和对比度的表达式. 利用原子力显微镜测量的随机散射表面高度分布数据模拟菲涅耳深区不同散射距离处散斑,并计算绘出其强度概率密度和对比度曲线. 理论与模拟相结合研究这两个统计函数的特征和直透光强所占比例的影响,以及它们随散射距离的演化规律.

English Abstract

参考文献 (14)

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