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Optical free-path-length distribution in a fractal aggregate and its effect on enhanced backscattering

机译：分形集合体中的光学自由程长度分布及其对增强的反向散射的影响

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摘要

A flee-path-length distribution function (FPDF) of multiply backscattered light is theoretically derived for a fractal aggregate of particles. An effective mean-flee path-length l(D) is newly introduced as a measure of randomness analogous with a homogeneously random medium. We confirm the validity of the FPDF by demonstrating agreement between the dimensions designed for a particle distribution generated by a random walk based on the derived FPDF and estimated by the radius of gyration method. The FPDF is applied to Monte Carlo simulations for copolarized multiply backscattered light from the fractal aggregate of particles. It is shown that a copolarized intensity peak of enhanced backscattering in the far field decreases in accordance with theta(2-D) and has an angular width of lambda/l(D). This spatial feature of the backscattering enhancement corresponds to that of the copolarized intensity peak produced from a homogeneously random medium with a dimension of D = 3. As a result, the validity of the model for the fractal structure of particle aggregates and the applicability of the derived FPDF are confirmed by the numerical results. (C) 1998 Optical Society of America. [References: 17]
机译：理论上，对于粒子的分形聚集体，可以得出多重反向散射光的逃逸路径长度分布函数（FPDF）。与均质随机介质类似，新引入了有效的平均逃逸路径长度l（D）作为随机性的度量。我们通过证明基于派生的FPDF并通过回转半径估算的随机游动生成的粒子分布的尺寸之间的一致性，来确认FPDF的有效性。 FPDF被应用于蒙特卡罗模拟，以对来自粒子分形聚集体的同极化多重反向散射光进行分析。结果表明，远场中反向散射增强的同极化强度峰根据theta（2-D）减小，其角宽度为λ/ l（D）。背向散射增强的这种空间特征对应于由尺寸为D = 3的均匀随机介质产生的同极化强度峰的空间特征。因此，该模型对于颗粒聚集体的分形结构的有效性以及该模型的适用性。数值结果证实了派生的FPDF。 （C）1998年美国眼镜学会。 [参考：17]

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