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Extension of the graphical technique for estimation of particle size distribution parameters for the consistent intercomparison of diverse sets of multiwavelength lidar derived optical coefficients

机译:图形技术的扩展,用于估计粒度分布参数,以实现多组多波长激光雷达导出的光学系数的一致比对

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摘要

In applying the graphical technique to the estimation of the particle size distribution (PSD) parameters, determination of proper bounds surrounding the solution space for a particular confidence level is essential to the consistent intercomparison of diverse multiwavelength lidar optical data sets. The graphical technique utilizes ratios of backscatter and/or extinction coefficients, and it is shown that if the correlation between ratios is not taken into account in calculating the error bounds, the solution space will be overestimated, resulting in relatively larger discrepancies for a larger number of optical coefficients. A method for correcting the bounds, to account for the correlation is developed for various numbers of wavelengths. These improved bounds are then applied, for the case of a monomodal lognormal PSD, with an assumed refractive index, to assess the role additional Raman extinction channels play in improving retrieval capability of a typical three-channel backscatter lidar (1064, 532, and 355 nm) under varying noise levels. Applying the same formalism to underlying bimodal distributions of coarse and fine particles can result in false monomodal solutions. However, when both Raman optical extinction channels are available, no solution is obtained. This can potentially serve as a quick and simple method, prior to a more complex regularization analysis, to differentiate between cases in which the fine mode is dominant versus the cases in which the contribution from the coarse mode is significant.
机译:在将图形技术应用于粒度分布(PSD)参数的估计时,确定溶液在特定置信度水平周围的适当边界对于多种多波长激光雷达光学数据集的一致比对至关重要。图形技术利用反向散射系数和/或消光系数的比率,并且显示出,如果在计算误差范围时未考虑比率之间的相关性,则求解空间将被高估,从而导致较大数量的差异的光学系数。针对各种数量的波长,开发了一种校正边界以解决相关性的方法。然后,对于具有假定的折射率的单峰对数正态PSD,应用这些改进的边界来评估其他拉曼消光通道在提高典型三通道后向散射激光雷达(1064、532和355)的检索能力中的作用。纳米)。将相同的形式主义应用于粗颗粒和细颗粒的基本双峰分布可能会导致错误的单峰解。但是,当两个拉曼消光通道均可用时,无法获得解决方案。在进行更复杂的正则化分析之前,这可以潜在地用作一种快速且简单的方法,以区分精细模式占主导地位的情况与粗模式的贡献显着的情况。

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