A new solution to the inversion of Fraunhofer diffraction for particle sizing was introduced. Com pared 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.
© 2009 Optical Society of America
Instrumentation, Measurement, and Metrology
Original Manuscript: April 21, 2009
Revised Manuscript: August 5, 2009
Manuscript Accepted: August 7, 2009
Published: August 21, 2009
Zhang Cao, Lijun Xu, and Jie Ding, "Integral inversion to Fraunhofer diffraction for particle sizing," Appl. Opt. 48, 4842-4850 (2009)