Integral inversion to Fraunhofer diffraction for particle sizing

Appl Opt. 2009 Sep 1;48(25):4842-50. doi: 10.1364/AO.48.004842.

Abstract

A new solution to the inversion of Fraunhofer diffraction for particle sizing was introduced. Compared with the well-known Chin-Shifrin inversion, it is an inversion of the form of integral transform and less sensitive to noise. Simulation results with noise-contaminated data were obtained and showed that the new inversion is better than the Chin-Shifrin inversion. Especially when the particle diameter was small, the new inversion still performed well, whereas the Chin-Shifrin inversion did not converge.