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Reciprocity theorem for the calculation of average scattering properties of agglomerated particles

机译：互易定理，用于计算团聚颗粒的平均散射特性

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摘要

The reciprocity theorem in light scattering is a general theorem that is verified theoretically and experimentally. However, violation of the reciprocity theorem has been encountered in previous investigations for simulation of light scattering from agglomerates. We demonstrate that the violations of the reciprocity theorem are due to inappropriate orientation averaging or the incorrect formulation of light-scattering quantities. In situ optical diagnostics of aggregated aerosols requires the calculation of the orientation averages of scattering quantities. Thus it is imperative to establish a criterion that can be used to determine a sufficient number of orientations for the reliable calculation of averages for the scattering quantities. It is demonstrated that the reciprocity theorem may serve as such a criterion for typical sizes of agglomerates such as flame soot with fractal dimensions D_(f)=1.8, primary particle size parameter x≤0.3, and number of primary particles less than 260. It is shown that the use of 21×21×21 orientations will satisfy the reciprocity theorem to within 0.5%.
机译：光散射中的互易性定理是一个一般性定理，在理论和实验上得到了验证。然而，在以前的研究中，从团聚体的光散射模拟中已经遇到了违反互易定理的问题。我们证明了对等定理的违反是由于不适当的方向平均或光散射量的不正确公式造成的。聚集气溶胶的原位光学诊断需要计算散射量的方向平均值。因此，必须建立一个标准，该标准可用于确定足够数量的方向，以便可靠地计算散射量的平均值。证明了互易性定理可以作为典型的附聚物尺寸的标准，例如分形尺寸为D_（f）= 1.8的烟灰，一次粒径参数x≤0.3，一次粒径小于260的团块。结果表明，使用21×21×21方向将使互易定理在0.5％以内。

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