Abstract Particle size distribution (PSD) measurement is important for improving product quality, inhibiting environmental pollution, and safeguarding human health. The near-field scattering (NFS) technique offers many substantial advantages over conventional techniques. However, the reconstruction equations are ill-posed and it is difficult to get a reliable solution. In this paper, we propose a new method that can solve the reconstruction equations. This method combines the Backus-Gilbert eclectic theory with truncated singular value decomposition (TSVD) method to obtain a non-negative approximation solution as the initial value of Chahine algorithm for fine calculation. Our method exhibited good performance with several numerical cases of unimodal and bimodal PSDs. It was then used for PSD measurement of two standard particles (GBW(E) 120,028 and 120,047) using the NFS techniques. The relative errors of the length mean diameter, with respect to the peak size of these two standard particles, were 0.18% and 0.76%, respectively.

中文翻译：

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基于近场动态光散射测量的粒度分布测定

摘要 粒度分布（PSD）测量对于提高产品质量、抑制环境污染、保障人类健康具有重要意义。与传统技术相比，近场散射 (NFS) 技术具有许多显着的优势。然而，重建方程是不适定的，很难得到可靠的解。在本文中，我们提出了一种可以求解重构方程的新方法。该方法将Backus-Gilbert折衷理论与截断奇异值分解(TSVD)方法相结合，得到一个非负近似解作为Chahine算法的初值进行精细计算。我们的方法在几个单峰和双峰 PSD 的数值案例中表现出良好的性能。然后将其用于两种标准粒子 (GBW(E) 120, 028 和 120,047）使用 NFS 技术。相对于这两种标准颗粒的峰尺寸，长度平均直径的相对误差分别为 0.18% 和 0.76%。