D. Gabor, A New Microscopic Principle, Nature, vol.161, issue.4098, pp.777-778, 1948.
DOI : 10.1038/161777a0

D. Gabor, Microscopy by Reconstructed Wave-Fronts, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.197, issue.1051, pp.454-487, 1949.
DOI : 10.1098/rspa.1949.0075

U. Schnars and W. Jüptner, Digital recording and numerical reconstruction of holograms, Measurement Science and Technology, vol.13, issue.9, pp.85-101, 2002.
DOI : 10.1088/0957-0233/13/9/201

N. Verrier and M. Atlan, Off-axis digital hologram reconstruction: some practical considerations, Applied Optics, vol.50, issue.34, pp.136-146, 2011.
DOI : 10.1364/AO.50.00H136
URL : https://hal.archives-ouvertes.fr/hal-00642060

J. Marié, N. Grosjean, L. Méès, M. Seifi, C. Fournier et al., Lagrangian measurements of the fast evaporation of falling diethyl ether droplets using in-line digital holography and a high-speed camera, Experiments in Fluids, vol.14, issue.4???6, pp.1-13, 2014.
DOI : 10.1007/s00348-014-1708-6

M. Leclercq, M. Karray, V. Isnard, F. Gautier, and P. Picart, Evaluation of surface acoustic waves on the human skin using quasi-time-averaged digital Fresnel holograms, Applied Optics, vol.52, issue.1, pp.136-146, 2013.
DOI : 10.1364/AO.52.00A136

N. Verrier, D. Alexandre, and M. Gross, Laser Doppler holographic microscopy in transmission: application to fish embryo imaging, Optics Express, vol.22, issue.8, pp.9368-9379, 2014.
DOI : 10.1364/OE.22.009368.m003
URL : https://hal.archives-ouvertes.fr/hal-00970195

E. Leith and J. Upatnieks, Reconstructed Wavefronts and Communication Theory*, Journal of the Optical Society of America, vol.52, issue.10, pp.1123-1128, 1962.
DOI : 10.1364/JOSA.52.001123

R. Menzel and F. M. Shofner, An Investigation of Fraunhofer Holography for Velocimetry Applications, Applied Optics, vol.9, issue.9, pp.2073-2079, 1970.
DOI : 10.1364/AO.9.002073

B. J. Thompson, J. H. Ward, and W. R. Zinky, Application of Hologram Techniques for Particle Size Analysis, Applied Optics, vol.6, issue.3, pp.519-526, 1967.
DOI : 10.1364/AO.6.000519

L. Onural and M. T. Ozgen, Extraction of three-dimensional object-location information directly from in-line holograms using Wigner analysis, Journal of the Optical Society of America A, vol.9, issue.2, pp.252-260, 1992.
DOI : 10.1364/JOSAA.9.000252

L. Onural and P. D. Scott, Digital decoding of inline holograms, Opt. Eng, vol.26, pp.1124-1132, 1987.

S. H. Lee, Y. Roichman, G. R. Yi, S. H. Kim, S. M. Yang et al., Characterizing and tracking single colloidal particles with video holographic microscopy, Optics Express, vol.15, issue.26, pp.18275-18282, 2007.
DOI : 10.1364/OE.15.018275.m001

S. Sotthivirat and J. A. Fessler, Penalized-likelihood image reconstruction for digital holography, Journal of the Optical Society of America A, vol.21, issue.5, pp.737-750, 2004.
DOI : 10.1364/JOSAA.21.000737
URL : http://deepblue.lib.umich.edu/bitstream/2027.42/85917/1/Fessler60.pdf

F. Soulez, L. Denis, C. Fournier, E. Thiébaut, and C. Goepfert, Inverse-problem approach for particle digital holography: accurate location based on local optimization, Journal of the Optical Society of America A, vol.24, issue.4, pp.1164-1171, 2007.
DOI : 10.1364/JOSAA.24.001164

F. Soulez, L. Denis, E. Thiébaut, C. Fournier, and C. Goepfert, Inverse problem approach in particle digital holography: out-of-field particle detection made possible, Journal of the Optical Society of America A, vol.24, issue.12, pp.3708-3716, 2007.
DOI : 10.1364/JOSAA.24.003708
URL : https://hal.archives-ouvertes.fr/ujm-00192619

C. Fournier, L. Denis, M. Seifi, and T. Fournel, Digital Hologram Processing in On-Axis Holography Multi-dimensional Imaging, pp.51-74, 2014.

D. J. Brady, K. Choi, D. L. Marks, R. Horisaki, and S. Lim, Compressive Holography, Optics Express, vol.17, issue.15, pp.13040-13049, 2009.
DOI : 10.1364/OE.17.013040

S. Lim, D. L. Marks, and D. J. Brady, Sampling and processing for compressive holography [Invited], Applied Optics, vol.50, issue.34, pp.75-86, 2011.
DOI : 10.1364/AO.50.000H75

Y. Rivenson, A. Stern, and B. Javidi, Compressive Fresnel Holography, Journal of Display Technology, vol.6, issue.10, pp.506-509, 2010.
DOI : 10.1109/JDT.2010.2042276

M. M. Marim, M. Atlan, E. Angelini, and J. Olivo-marin, Compressed sensing with off-axis frequency-shifting holography, Optics Letters, vol.35, issue.6, pp.871-873, 2010.
DOI : 10.1364/OL.35.000871
URL : https://hal.archives-ouvertes.fr/hal-00469785

G. Tyler and B. Thompson, Fraunhofer Holography Applied to Particle Size Analysis a Reassessment, Optica Acta: International Journal of Optics, vol.11, issue.9, pp.685-700, 1976.
DOI : 10.1038/167190a0

S. D. Nicola, P. Ferraro, A. Finizio, and G. Pierattini, Correct-image reconstruction in the presence of severe anamorphism by means of digital holography, Optics Letters, vol.26, issue.13, pp.974-976, 2001.
DOI : 10.1364/OL.26.000974

S. Grilli, P. Ferraro, S. D. Nicola, A. Finizio, G. Pierattini et al., Whole optical wavefields reconstruction by Digital Holography, Optics Express, vol.9, issue.6, pp.294-302, 2001.
DOI : 10.1364/OE.9.000294.m003

S. D. Nicola, P. Ferraro, A. Finizio, and G. Pierattini, Wave front reconstruction of Fresnel off-axis holograms with compensation of aberrations by means of phase-shifting digital holography, Optics and Lasers in Engineering, vol.37, issue.4, pp.331-340, 2002.
DOI : 10.1016/S0143-8166(01)00087-2

J. S. Crane, P. Dunn, B. J. Thompson, J. Z. Knapp, and J. Zeiss, Far-field holography of ampule contaminants, Applied Optics, vol.21, issue.14, pp.2548-2553, 1982.
DOI : 10.1364/AO.21.002548

N. Verrier, S. Coëtmellec, M. Brunel, and D. Lebrun, Digital in-line holography in thick optical systems: application to visualization in pipes, Applied Optics, vol.47, issue.22, pp.4147-4157, 2008.
DOI : 10.1364/AO.47.004147
URL : https://hal.archives-ouvertes.fr/hal-00767626

N. Verrier, C. Remacha, M. Brunel, D. Lebrun, and S. Coëtmellec, Micropipe flow visualization using digital in-line holographic microscopy, Optics Express, vol.18, issue.8, pp.7807-7819, 2010.
DOI : 10.1364/OE.18.007807.m001
URL : https://hal.archives-ouvertes.fr/hal-00779175

N. Verrier, S. Coëtmellec, M. Brunel, and D. Lebrun, Determination of 3D-region of interest using digital in-line holography with astigmatic Gaussian beams, Journal of the European Optical Society: Rapid Publications, vol.4, p.9038, 2009.
DOI : 10.2971/jeos.2009.09038
URL : https://hal.archives-ouvertes.fr/hal-00779180

A. J. Lambert and D. Fraser, Linear systems approach to simulation of optical diffraction, Applied Optics, vol.37, issue.34, pp.7933-7939, 1998.
DOI : 10.1364/AO.37.007933

H. T. Yura and S. G. Hanson, Optical beam wave propagation through complex optical systems, Journal of the Optical Society of America A, vol.4, issue.10, pp.1931-1948, 1987.
DOI : 10.1364/JOSAA.4.001931

C. Palma and V. Bagini, Extension of the Fresnel transform to ABCD systems, Journal of the Optical Society of America A, vol.14, issue.8, pp.1774-1779, 1997.
DOI : 10.1364/JOSAA.14.001774

J. J. Wen and M. A. Breazeale, A diffraction beam field expressed as the superposition of Gaussian beams, The Journal of the Acoustical Society of America, vol.83, issue.5, pp.1752-1756, 1988.
DOI : 10.1121/1.396508

L. Denis, D. A. Lorenz, and D. Trede, Greedy solution of ill-posed problems: error bounds and exact inversion, Inverse Problems, vol.25, issue.11, p.115017, 2009.
DOI : 10.1088/0266-5611/25/11/115017
URL : https://hal.archives-ouvertes.fr/ujm-00430075

L. Denis, D. Lorenz, E. Thiébaut, C. Fournier, and D. Trede, Inline hologram reconstruction with sparsity constraints, Optics Letters, vol.34, issue.22, pp.3475-3477, 2009.
DOI : 10.1364/OL.34.003475
URL : https://hal.archives-ouvertes.fr/ujm-00397994

S. M. Kay, Fundamentals of statistical signal processing: estimation theory, 2010.

C. Fournier, L. Denis, and T. Fournel, On the single point resolution of on-axis digital holography, Journal of the Optical Society of America A, vol.27, issue.8, pp.1856-1862, 2010.
DOI : 10.1364/JOSAA.27.001856
URL : https://hal.archives-ouvertes.fr/hal-00464787

P. Refregier, Noise Theory and Application to Physics: From Fluctuations to Information, 2004.
DOI : 10.1007/978-0-387-22526-5
URL : https://hal.archives-ouvertes.fr/hal-00079638

B. Lü and K. Duan, Nonparaxial propagation of vectorial Gaussian beams diffracted at a circular aperture, Optics Letters, vol.28, issue.24, pp.2440-2442, 2003.
DOI : 10.1364/OL.28.002440

K. Duan and B. Lü, Nonparaxial analysis of far-field properties of Gaussian beams diffracted at a circular aperture, Optics Express, vol.11, issue.13, pp.1474-1480, 2003.
DOI : 10.1364/OE.11.001474

W. H. Press, T. A. Saul, W. T. Vetterling, and B. P. , Flannery Numerical Recipes in C, The Art of Scientific Computing, 1992.