Data inversion for dynamic light scattering using Fisher information

作者：Nyeo Su Long^*; Ansari Rafat R

来源：Laser Physics, 2015, 25(7): 075703.

DOI：10.1088/1054-660X/25/7/075703

• photon correlation spectroscopy
• inverse problems
• Fisher information
• Tikhonov regularization

Dynamic light scattering is a promising technique for characterizing colloidal particles as their size distribution. The determination of a size distribution is however an ill-posed inverse problem, which requires efficient and well-tested numerical algorithms.
In this paper, the inverse problem is studied numerically using the Tikhonov regularization method with Fisher information as a regularization function. A numerical algorithm is described to obtain well-defined solutions to the problem and an optimal solution is determined by the L-curve criterion.
Simulated data are created from unimodal and bimodal distributions and analyzed to evaluate the performance of the algorithm. It is shown that the algorithm can efficiently retrieve a unimodal distribution of a very broad support and bimodal distributions with higher accuracy than the well-known algorithms of the constrained regularization method (CONTIN) and the maximum-entropy method (MEM).

• 出版日期2015-7