, Ces travaux ont été financés par la division de l'énergie nucléaire du CEA (programme DISN/PAREC) et sont partiellement soutenus par le CNRS

. Référence,

G. Pan and H. Meng, Digital holography of particle fields: reconstruction by use of complex amplitude, Applied Optics, vol.42, pp.827-833, 2003.

M. Malek, D. Allano, S. Coëtmellec, C. Özkul, and D. Lebrun, Digital in-line holography for three-dimensional two-components particle tracking velocimetry, Measurement Science and Technology, vol.15, pp.699-705, 2004.

K. D. Hinsch, Holographic particle image velocimetry, Measurement Science and Technology, vol.13, pp.61-72, 2002.

Y. Choi and S. Lee, Three-dimensional volumetric measurement of red blood cell motion using digital holographic microscopy, Applied Optics, vol.48, pp.2983-2990, 2009.

F. Dubois, C. Schockaert, N. Callens, and C. Yourassowsky, Focus plane detection criteria in digital holography microscopy by amplitude analysis, Optics Express, vol.14, pp.5895-5908, 2006.

N. Salah, G. Godard, D. Lebrun, P. Paranthoën, D. Allano et al., Application of multiple exposure digital in-line holography to particle tracking in a Bénard-von Kármán vortex flow, Measurement Science and Technology, vol.19, pp.74001-074007, 2008.

L. Tian, N. Loomis, J. A. Domínguez-caballero, and G. Barbastathis, Quantitative measurement of size and three-dimensional position of fast-moving bubbles in air-water mixture flows using digital holography, Applied Optics, vol.49, pp.1549-1554, 2010.

N. Verrier, C. Fournier, L. Méès, and T. Fournel, In-line particle holography with an astigmatic beam: setup selfcalibration using an "inverse problems" approach, Applied Optics, vol.53, pp.147-156, 2014.
URL : https://hal.archives-ouvertes.fr/ujm-00994307

D. G. Voelz, Computational fourier optics: a MATLAB tutorial, SPIE, 2011.

J. Collins and A. Stuart, Lens-system diffraction integral written in terms of matrix optics, Journal of the Optical Society of America, vol.60, pp.1168-1177, 1970.

N. Verrier, Microscopie holographique numérique: modélisation et développement de méthodes pour l'étude d'écoulements canalisés et microcanalisés, 2009.

C. Palma and V. Bagini, Extension of the Fresnel transform to ABCD systems, JOSA A, vol.14, pp.1774-1779, 1997.

H. M. Ozaktas, Z. Zalevsky, and M. A. Kutay, The fractional Fourier transform, 2001.

L. M. Bernardo and O. D. Soares, Fractional Fourier transforms and imaging, JOSA A, vol.11, pp.2622-2626, 1994.

P. Pellat-finet and G. Bonnet, Fractional order Fourier transform and Fourier optics, Optics Communications, vol.111, pp.141-154, 1994.

S. Coëtmellec, W. Wichitwong, G. Gréhan, D. Lebrun, M. Brunel et al., Digital in-line holography assessment for general phase and opaque particle, Journal of the European Optical Society-Rapid, p.9, 2014.

M. Brunel, W. Wichitwong, S. Coetmellec, A. Masselot, D. Lebrun et al., Numerical Models for Exact Description of in-situ Digital In-Line Holography Experiments with Irregularly-Shaped Arbitrarily-Located Particles, Applied Sciences, vol.5, pp.62-76, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01612371

H. Van-de and . Hulst, Light scattering by small particles, 1957.

M. P. Sentis, F. R. Onofri, L. Méès, and S. Radev, Scattering of light by large bubbles: Coupling of geometrical and physical optics approximations, Journal of Quantitative Spectroscopy and Radiative Transfer, pp.8-18, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01459085

F. Onofri, A. Lenoble, H. Bultynck, and P. Guéring, High-resolution laser diffractometry for the on-line sizing of small transparent fibres, Optics Communications, vol.234, pp.183-191, 2004.

F. Lamadie, L. Bruel, and M. Himbert, Digital holographic measurement of liquid-liquid two-phase flows, Optics and Lasers in Engineering, vol.50, pp.1716-1725, 2012.

S. Lee, Y. Roichman, G. Yi, S. Kim, S. Yang et al., Characterizing and tracking single colloidal particles with video holographic microscopy, Optics Express, vol.15, pp.18275-18282, 2007.

F. Lamadie and L. Bruel, Processing method for near-field in-line holograms (Fresnel number? 1), Optics and Lasers in Engineering, vol.57, pp.130-137, 2014.

S. Murata and N. Yasuda, Potential of digital holography in particle measurement, Optics & Laser Technology, vol.32, pp.567-574, 2000.

X. Wu, Y. Wu, J. Yang, Z. Wang, B. Zhou et al., Modified convolution method to reconstruct particle hologram with an elliptical Gaussian beam illumination, Optics Express, vol.21, pp.12803-12814, 2013.

P. V. Hough, Method and means for recognizing complex patterns, vol.3, p.69, 1962.