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Estimation of optical constants from multiple-scattered light using approximations for single particle scattering characteristics

机译：使用单粒子散射特性的近似值估计多散射光的光学常数

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摘要

The inversion of multiple-scattered light measurements to extract the optical constant (complex refractive index) is computationally intensive. A significant portion of this time is due to the effort required for computing the single particle characteristics (absorption and scattering cross sections, anisotropy factor, and the phase function). We investigate approximations for computing these characteristics so as to significantly speed up the calculations without introducing large inaccuracies. Two suspensions of spherical particles viz., polystyrene and poly(methyl methacrylate) were used for this investigation. It was found that using the exact Mie theory to compute the absorption and scattering cross sections and the anisotropy factor with the phase function computed using the Henyey-Greenstein approximation yielded the best results. Analysis suggests that errors in the phase functions and thus in the estimated optical constants depend mainly on how closely the approximations match the Mie phase function at small scattering angles.
机译：多次散射光测量结果的反演以提取光学常数（复数折射率）需要大量计算。此时间的很大一部分归因于计算单个粒子特性（吸收和散射横截面，各向异性因子和相位函数）所需的工作。我们研究了用于计算这些特征的近似值，以便在不引入较大误差的情况下显着加快计算速度。球形颗粒的两种悬浮液，即聚苯乙烯和聚（甲基丙烯酸甲酯）用于该研究。结果发现，使用精确的Mie理论计算吸收和散射截面，以及使用Henyey-Greenstein近似计算的具有相位函数的各向异性因子，可获得最佳结果。分析表明，相位函数的误差以及由此估算的光学常数的误差主要取决于近似值在小散射角下与Mie相位函数的匹配程度。

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