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International Journal of Optics
Volume 2014, Article ID 143904, 8 pages
Research Article

Determination of the Size of Irregular Particles Using Interferometric Out-of-Focus Imaging

UMR CNRS 6614 CORIA, Département d’Optique et Laser, 675 Avenue de l’Université, 76801 Saint-Etienne du Rouvray Cedex, France

Received 30 July 2013; Revised 3 December 2013; Accepted 4 December 2013; Published 9 January 2014

Academic Editor: Adrian Podoleanu

Copyright © 2014 Marc Brunel et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We present a mathematical formalism to predict speckle-like interferometric out-of-focus patterns created by irregular scattering objects. We describe the objects by an ensemble of Dirac emitters. We show that it is not necessary to describe rigorously the scattering properties of an elliptical irregular object to predict some physical properties of the interferometric out-of-focus pattern. The fit of the central peak of the 2D autocorrelation of the pattern allows the prediction of the size of the scattering element. The method can be applied to particles in a size range from a tenth of micrometers to the millimeter.