Use of non-negative constraint in Tikhonov regularization for particle sizing based on forward light scattering. Issue 16 (7th September 2016)

• Record Type: Journal Article
• Authors: Lin, Chengjun; Shen, Jianqi; Wang, Tian'en
• Is Part Of: Journal of modern optics. Volume 63:Issue 16(2016)
• Page Start: 1630
• Page End: 1637
• Publication Date: 2016-09-07
• Subjects: Regularization -- inversion algorithm -- particle analysis; Optics -- Periodicals; 535
• DOI: 10.1080/09500340.2016.1164258
• Languages: English
• ISSNs: 0950-0340

Abstract

Abstract: The set of linear equations in the inversion of particle size distribution (PSD) based on forward light scattering is an ill-posed problem. In order to solve the inverse problem of this kind, a number of inversion algorithms have been proposed. The regularization algorithm can reconstruct the PSD, but in usual case, the solution may contain negative values and is strongly oscillating. Owing to the natural reason, the solution should be non-negative and smooth. In this paper, a simple non-negative constraint (NNC) is used with a combination of the Tikhonov regularization. Simulations and experiments show that the regularization with NNC can achieve more reasonable results.