Non-negative constraint research of Tikhonov regularization inversion for dynamic light scattering

• Published in: Laser physics Vol. 23; no. 8; pp. 85701 - 85707
• Main Authors: Wang, Y J, Shen, J, Liu, W, Sun, X M, Dou, Z H
• Format: Journal Article
• Language: English
• Published: IOP Publishing 01.08.2013
• ISSN: 1054-660X; 1555-6611
• DOI: 10.1088/1054-660X/23/8/085701

In dynamic light scattering (DLS) technology, a non-negative constraint on the solution can improve the inversion accuracy of the particle size distribution (PSD). Different non-negative constraint methods have different effects on the inversion results. Combined with the Tikhonov regularization inversion method, the following non-negativity constraint methods: negative to zero (N-to-Z), multi-negative to zero (Multi-N-to-Z), Lin-projected gradient (LPG), oblique projected Landweber (OPL), projected sequential subspace optimization (PSESOP), interior point Newton (IPN), gradient projection conjugate gradient (GPCG) and trust-region method based on the interior reflective Newton (TR-IRN) method are studied in DLS inversion. In different inversion ranges and noise levels, autocorrelation functions of unimodal and bimodal particle distributions were inverted using different non-negativity constraint methods. From the inversion results, the characteristics of the various methods were obtained, which can be treated as a reference for the implementation of non-negative constraints in Tikhonov regularization inversion of DLS.