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Dynamic speckles formed by focused coherent field scattering from rough surfaces with non-Gaussian statistics

机译:由非高斯统计的粗糙表面聚焦相干场散射形成的动态斑点

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Abstract: The process of the focused Gaussian beams diffraction from the surfaces with both small and large-scale relief inhomogeneities is considered. The analytical expressions describing the probability function of dynamic speckles intensity fluctuations have been derived. The numerical modeling of focused coherent beam scattering with a small number of scatterers has been conducted. As shown, this case corresponds to non-Gaussian scattered radiation statistics. The range of parameters, when the scattered field statistics are close to Gaussian ones, has been determined. The analysis of probability density function of amplitude fluctuations shows that speckle fields formed when the number of scatterers is small are statistically inhomogeneous ones. It was established how the statistical characteristics of a diffracted radiation depend on the correlation length and the standard deviation of random screen phase fluctuations. !7
机译:摘要:研究了聚焦的高斯光束从具有小尺度和大尺度起伏不均匀性的表面衍射的过程。推导了描述动态斑点强度波动概率函数的解析表达式。进行了具有少量散射体的聚焦相干光束散射的数值模拟。如图所示,这种情况对应于非高斯散射辐射统计。当散射场统计量接近高斯统计量时,参数的范围已确定。振幅波动的概率密度函数分析表明,散射体数量较少时形成的散斑场在统计上是不均匀的。已经建立了衍射辐射的统计特性如何取决于相关长度和随机屏幕相位波动的标准偏差。 !7

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