Journal of the European Optical Society - Rapid publications, Vol 9 (2014)

Interferometric out-of-focus imaging simulator for irregular rough particles

M. Brunel, S. Coetmellec, G. Gréhan, H. Shen


We present the development of an original simulator to predict interferometric out-of-focus patterns created by irregular rough particles. Despite important simplifications of the scattering properties, this simulator allows to predict quantitative properties of the speckle-like patterns: i.e. the dimension of the central peak of the 2D-autocorrelation of the pattern. This parameter can then be linked to the size and the shape of the particle projected on the CCD sensor, in cases where there is no exact theoretical formulation to calculate the scattered intensity. An experimental demonstration is performed with irregular NaCl salt crystals.

© The Authors. All rights reserved. [DOI: 10.2971/jeos.2014.14008]

Full Text: PDF

Citation Details

Cite this article


G. König, K. Anders, and A. Frohn, ”A new light-scattering technique to measure the diameter of periodically generated moving droplets,” J. Aerosol Sci. 17, 157–167 (1986).

R. Ragucci, A. Cavaliere, and P. Massoli, ”Drop Sizing by laser light scattering exploiting intensity angular oscillation in the Mie regime,” Part. Part. Syst. Char. 7, 221–225 (1990).

K. H. Hesselbacher, K. Anders, and A. Frohn, ”Experimental investigation of Gaussian beam effects on the accuracy of a droplet sizing method,” Appl. Optics 30, 4930–4935 (1991).

A. R. Glover, S. M. Skippon, and R. D. Boyle, ”Interferometric laser imaging for droplet sizing: a method for droplet-size measurement in sparse spray systems,” Appl. Optics 34, 8409–8421 (1995).

N. Damaschke, H. Nobach, and C. Tropea, ”Optical limits of particle concentration for multi-dimensional particle sizing techniques in fluid mechanics,” Exp. Fluids 32, 143–152 (2002).

T. Kawaguchi, Y. Akasaka, and M. Maeda, ”Size measurements of droplets and bubbles by advanced interferometric laser imaging technique,” Meas. Sci. Technol. 13, 308–316 (2002).

J. V. Dave, ”Scattering of visible light by large water spheres,” Appl. Optics 8, 155–164 (1969).

H. C. Van de Hulst, Light Scattering by Small Particles (Dover Publications, Mineola, 1981).

G. Lacagnina, S. Grizzi, M. Falchi, F. Di Felice, and G. P. Romano, ”Simultaneous size and velocity measurements of cavitating microbubbles using interferometric laser imaging,” Exp. Fluids 50, 1153–1167 (2011).

Y. Hardalupas, S. Sahu, A. M. K. P. Taylor, and K. Zarogoulidis, ”Simultaneous planar measurement of droplet velocity and size with gas phase velocities in a spray by combined ILIDS and PIV techniques,” Exp. Fluids 49, 417–434 (2010).

W. J. Glantschnig, and S. H. Chen, ”Light scattering from water droplets in the geometrical optics approximation,” Appl. Optics 20, 2499–2509 (1981).

H. Shen, S. Coetmellec, G. Grehan, and M. Brunel, ”ILIDS revisited: elaboration of transfer matrix models for the description of complete systems,” Appl. Optics 51, 5357–5368 (2012).

M. Maeda, Y. Akasaka, and T. Kawaguchi, ”Improvements of the interferometric technique for simultaneous measurement of droplet size and velocity vector field and its application to a transient spray,” Exp. Fluids 33, 125–134 (2002).

A. Querel, P. Lemaitre, M. Brunel, E. Porcheron, and G. Gréhan, ”Real-time global interferometric laser imaging for the droplet sizing (ILIDS) algorithm for airborne research,” Meas. Sci. Technol. 21, 015306 (2010).

D. Lin, N. C. Angarita-Jaimes, S. Chen, A. H. Greenaway, C. E. Towers, and D. P. Towers, ”Three dimensional particle imaging by defocusing method with an annular aperture,” Opt. Lett. 33, 905–907 (2008).

H. Shen, S. Coetmellec, and M. Brunel, ”Cylindrical interferometric out-of-focus imaging for the analysis of droplets in a volume,” Opt. Lett. 37, 3945–3947 (2012).

H. Shen, S. Coetmellec, and M. Brunel, ”Simultaneous 3D location and size measurement of spherical bubbles using cylindrical interferometric out-of-focus imaging,” J. Quant. Spectrosc. Radiat. Transf. 131, 153–159 (2013).

C. Mounaim-Rousselle, and O. Pajot, ”Droplet sizing by interferometric Mie scattering in engine environment,” Proc. SPIE 3172, 700–707 (1997).

H. C. van de Hulst, and R. T. Wang, ”Glare points,” Appl. Optics 30, 4755–4763 (1991).

C. Palma, and V. Bagini, ”Extension of the Fresnel transform to ABCD systems,” J. Opt. Soc. Am. A 14, 1774–1779 (1997).

A. J. Lambert, and D. Fraser, ”Linear systems approach to simulation of optical diffraction,” Appl. Optics 37, 7933–7939 (1998).

H. T. Yura, and S. G. Hanson, ”Optical beam wave propagation through complex optical systems,” J. Opt. Soc. Am. A 4, 1931–1948 (1987).

J. J. Wen, and M. Breazeale, ”A diffraction beam expressed as the superposition of Gaussian beams,” J. Acoust. Soc. Am. 83, 1752–1756 (1988).

J. W. Goodman, Speckle phenomena in optics. Theory and Applications (Roberts and Company Publishers, Greenwood Village, 2009).

S. Dehaeck, and J. van Beeck, ”Multifrequency interferometric particle imaging for gas bubble sizing,” Exp. Fluids 45, 823–831 (2008).