1 May 2007 Inversion of particle-size distribution with improved conjugate gradient algorithm
Author Affiliations +
Optical Engineering, 46(5), 054302 (2007). doi:10.1117/1.2737451
Abstract
In order to ameliorate convergence of the algorithm to invert the particle-size distribution (PSD) from laser diffraction data, an improved conjugate gradient algorithm (ICGA) is proposed. This method is independent of any given a priori information of the particle-size distribution. In the algorithm, each objective function is constructed according to an equation of the system of equations. Then iterations are carried out continuously between objective functions by choosing conjugate gradient directions, and thus the objective functions are tied up. An iteration step-adjusting parameter is introduced, which depends on the row index vectors of the matrix equation. Two narrowly distributed particulate-certified reference materials, their mixture, and a widely distributed particle plate are used as samples to verify the algorithm. Experimental results show that the ICGA is sufficiently convergent and that the convergence points are stable. The presented method can be used to invert unimodal and multimodal PSD with high precision.
Baozhen Ge, Yongjie Wei, Qieni Lu, "Inversion of particle-size distribution with improved conjugate gradient algorithm," Optical Engineering 46(5), 054302 (1 May 2007). http://dx.doi.org/10.1117/1.2737451
JOURNAL ARTICLE
5 PAGES


SHARE
KEYWORDS
Particles

Error analysis

Diffraction

Optical engineering

Germanium

Condition numbers

Medium wave

RELATED CONTENT


Back to Top