A. S. Jurling and J. R. Fienup, Applications of algorithmic differentiation to phase retrieval algorithms, Journal of the Optical Society of America A, vol.31, issue.7, p.1348, 2014.
DOI : 10.1364/JOSAA.31.001348

A. Wirth, Dispersed hartmann sensor and method for mirror segment alignment and phasing, US Patent, vol.6649, p.895, 2003.

M. Born and E. Wolf, Principles of optics: electromagnetic theory of propagation, interference and diffraction of light, 2013.
DOI : 10.1017/CBO9781139644181

F. Baron, I. Mocoeur, F. Cassaing, and L. M. Mugnier, Unambiguous phase retrieval as a cophasing sensor for phased array telescopes, Journal of the Optical Society of America A, vol.25, issue.5, p.1000, 2008.
DOI : 10.1364/JOSAA.25.001000

URL : http://laurent.mugnier.free.fr/publis/Baron-JOSAA-08.pdf

C. Conclusion-du, 160 REFERENCES REFERENCES 1. http://www.eso.org/sci/facilities/paranal/telescopes/vlti.html. 2

G. Moretto, J. R. Kuhn, E. Thiébaut, M. Langlois, S. V. Berdyugina et al., New strategies for an extremely large telescope dedicated to extremely high contrast: the Colossus project, 2014.

G. Pareschi, G. Agnetta, L. Antonelli, D. Bastieri, G. Bellassai et al., The dual-mirror small size telescope for the Cherenkov Telescope Array, 2013.

M. R. Bolcar, K. Balasubramanian, M. Clampin, J. Crooke, L. Feinberg et al., Technology development for the Advanced Technology Large Aperture Space Telescope (ATLAST) as a candidate Large UV-Optical-Infrared (luvoir) surveyor, pp.960209-960209, 2015.

M. Sauvage, J. Amiaux, J. Austin, M. Bello, G. Bianucci et al., A development roadmap for critical technologies needed for TALC: a deployable 20m annular space telescope, pp.99041-99041, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01711316

J. T. Pitman, A. Duncan, D. Stubbs, R. D. Sigler, R. L. Kendrick et al., Remote sensing space science enabled by the multiple instrument distributed aperture sensor (MIDAS) concept, Instruments, Methods, and Missions for Astrobiology VIII, pp.301-310, 2004.
DOI : 10.1117/12.560290

L. Mugnier, F. Cassaing, B. Sorrente, F. Baron, M. Velluet et al., Multiple-Aperture Optical Telescopes: some key issues for Earth observation from a GEO orbit, 5th International Conference On Space Optics SP-554CNES, pp.554-181, 2004.

M. Mesrine, E. Thomas, S. Garin, P. Blanc, C. Alis et al., High resolution Earth observation form Geostationary orbit by optical aperture synthesys The Netherlands, Sixth International Conference on Space Optics, 2006.

F. Baron, I. Mocoeur, F. Cassaing, and L. M. Mugnier, Unambiguous phase retrieval as a cophasing sensor for phased array telescopes, Journal of the Optical Society of America A, vol.25, issue.5, pp.1000-1015, 2008.
DOI : 10.1364/JOSAA.25.001000

R. A. Gonsalves, Phase Retrieval And Diversity In Adaptive Optics, Optical Engineering, vol.21, issue.5, pp.215829-215829, 1982.
DOI : 10.1117/12.7972989

L. M. Mugnier, A. Blanc, and J. Idier, Phase Diversity: A Technique for Wave-Front Sensing and for Diffraction-Limited Imaging, pp.1-76, 2006.
DOI : 10.1016/S1076-5670(05)41001-0

URL : https://hal.archives-ouvertes.fr/hal-00408562

R. G. Paxman and J. R. Fienup, Optical misalignment sensing and image reconstruction using phase diversity, Journal of the Optical Society of America A, vol.5, issue.6, pp.914-923, 1988.
DOI : 10.1364/JOSAA.5.000914

URL : https://www.researchgate.net/profile/Richard_Paxman/publication/247775815_Optical_misalignment_sensing_and_image_reconstruction_using_phase_diversity/links/542423730cf26120b7a71e77.pdf?origin%3Dpublication_detail

D. C. Redding, S. A. Basinger, A. E. Lowman, A. Kissil, P. Y. Bely et al., Wavefront sensing and control for a Next-Generation Space Telescope, Space Telescopes and Instruments V, pp.758-772, 1998.
DOI : 10.1117/12.324494

D. A. Carrara, B. J. Thelen, R. G. Paxman-fiddy, and R. P. , Aberration correction of segmented-aperture telescopes by using phase diversity Image reconstruction from incomplete data

L. H. Lee, G. Vasudevan, and E. H. Smith, Point-by-point approach to phase-diverse phase retrieval, " in " IR space telescopes and Instruments, pp.441-452, 2003.

B. H. Dean, D. L. Aronstein, J. S. Smith, D. S. Shiri, and . Acton, Phase retrieval algorithm for JWST Flight and Testbed Telescope, Space Telescopes and Instrumentation I: Optical, Infrared, and Millimeter, pp.626511-626511, 2006.
DOI : 10.1117/12.673569

I. Mocoeur, F. Cassaing, F. Baron, L. Mugnier, S. Hofer et al., Darwin fringe sensor: experimental results on the BRISE bench Advances in stellar interferometry, Proc. Soc. Photo-Opt. Instrum. Eng, vol.6268, issue.6268, 2006.

S. Meimon, E. Delavaquerie, F. Cassaing, T. Fusco, L. M. Mugnier et al., Phasing segmented telescopes with long-exposure phase diversity images Ground-based and Airborne Telescopes II, of Presented at the Society of Photo-Optical Instrumentation Engineers (SPIE) Conference L of Presented at the Society of Photo-Optical Instrumentation Engineers (SPIE) Conference, 2008.
DOI : 10.1117/12.787835

D. Atcheson, F. Redding, S. Shi, B. Basinger, L. Dean et al., Demonstration of the James Webb Space Telescope commissioning on the JWST testbed telescope, pp.62650-62650, 2006.

S. T. Thurman, Method of obtaining wavefront slope data from through-focus point spread function measurements, Journal of the Optical Society of America A, vol.28, issue.1, pp.1-7, 2011.
DOI : 10.1364/JOSAA.28.000001

A. S. Jurling and J. R. Fienup, Applications of algorithmic differentiation to phase retrieval algorithms, Journal of the Optical Society of America A, vol.31, issue.7, pp.1348-1359, 2014.
DOI : 10.1364/JOSAA.31.001348

R. E. Carlisle and D. S. Acton, Demonstration of extended capture range for James Webb Space Telescope phase retrieval, Applied Optics, vol.54, issue.21, pp.6454-6460, 2015.
DOI : 10.1364/AO.54.006454

R. J. Noll, Zernike polynomials and atmospheric turbulence*, Journal of the Optical Society of America, vol.66, issue.3, pp.207-211, 1976.
DOI : 10.1364/JOSA.66.000207

F. Cassaing, B. Sorrente, L. Mugnier, G. Rousset, V. Michau et al., BRISE: a multipurpose bench for cophasing sensors Advances in stellar interferometry, Proc. Soc. Photo-Opt. Instrum. Eng, vol.6268, issue.6268, 2006.

I. Mocoeur, L. M. Mugnier, and F. Cassaing, Analytical solution to the phase-diversity problem for real-time wavefront sensing, Optics Letters, vol.34, issue.22, pp.3487-3489, 2009.
DOI : 10.1364/OL.34.003487

S. Vievard, F. Cassaing, A. Bonnefois, L. Mugnier, and J. Montri, Realtime alignment and co-phasing of multi-aperture systems using phase diversity, International Society for Optics and Photonics, 2016), pp.99062-99062

J. C. Fontanella and A. Sève, Reconstruction of turbulence-degraded images using the Knox???Thompson algorithm, Journal of the Optical Society of America A, vol.4, issue.3, pp.438-448, 1987.
DOI : 10.1364/JOSAA.4.000438

F. Roddier, Interferometric imaging in optical astronomy, Physics Reports, vol.170, issue.2, pp.99-166, 1988.
DOI : 10.1016/0370-1573(88)90045-2

K. T. Knox and B. J. Thompson, Recovery of images from atmospherically degraded short-exposure photographs, The Astrophysical Journal, vol.193, pp.45-48, 1974.
DOI : 10.1086/181627

S. Vievard, Développement et validation d'un analyseur de surface d'onde en plan focal pour un instrument multi-pupille

M. Sauvage, A development roadmap for critical technologies needed for talc: a deployable 20m annular space telescope, Proc. SPIE, pp.9904-51, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01711316

D. Spergel, Wide-Field InfraRed Survey Telescope-Astrophysics Focused Telescope Assets WFIRST- AFTA Final Report ArXiv e-prints, 2013.

M. Mesrine, E. Thomas, S. Garin, P. Blanc, C. Alis et al., High resolution Earth observation form geostationary orbit by optical aperture synthesys, Sixth International Conference on Space Optics], 2006.
DOI : 10.1117/12.2308095

URL : https://www.spiedigitallibrary.org/conference-proceedings-of-spie/10567/105670B/High-resolution-earth-observation-from-geostationary-orbit-by-optical-aperture/10.1117/12.2308095.pdf

F. Baron, I. Mocoeur, F. Cassaing, and L. M. Mugnier, Unambiguous phase retrieval as a cophasing sensor for phased array telescopes, Journal of the Optical Society of America A, vol.25, issue.5, pp.1000-1015, 2008.
DOI : 10.1364/JOSAA.25.001000

URL : http://laurent.mugnier.free.fr/publis/Baron-JOSAA-08.pdf

R. A. Gonsalves, Phase Retrieval And Diversity In Adaptive Optics, Optical Engineering, vol.21, issue.5, pp.215829-215829, 1982.
DOI : 10.1117/12.7972989

L. M. Mugnier, A. Blanc, and J. Idier, Phase Diversity: A Technique for Wave-Front Sensing and for Diffraction-Limited Imaging, Advances in Imaging and Electron Physics, vol.141, pp.1-76, 2006.
DOI : 10.1016/S1076-5670(05)41001-0

URL : https://hal.archives-ouvertes.fr/hal-00408562

I. Mocoeur, L. M. Mugnier, C. , and F. , Analytical solution to the phase-diversity problem for real-time wavefront sensing, Optics Letters, vol.34, issue.22, pp.3487-3489, 2009.
DOI : 10.1364/OL.34.003487

S. T. Thurman, Method of obtaining wavefront slope data from through-focus point spread function measurements, Journal of the Optical Society of America A, vol.28, issue.1, pp.1-7, 2011.
DOI : 10.1364/JOSAA.28.000001

A. S. Jurling and J. R. Fienup, Extended capture range for focus-diverse phase retrieval in segmented aperture systems using geometrical optics, Journal of the Optical Society of America A, vol.31, issue.3, pp.661-666, 2014.
DOI : 10.1364/JOSAA.31.000661

R. E. Carlisle and D. S. Acton, Demonstration of extended capture range for James Webb Space Telescope phase retrieval, Applied Optics, vol.54, issue.21, pp.6454-6460, 2015.
DOI : 10.1364/AO.54.006454

F. Cassaing and S. Vievard, Large amplitude fast estimation of tip/tilt for multiple-aperture systems by geometric diversity, 2016.

F. Cassaing, B. Sorrente, L. Mugnier, G. Rousset, V. Michau et al., Brise: a multipurpose bench for cophasing sensors, " in [Advances in stellar interferometry, p.6268, 2006.

B. Denolle, F. Cassaing, J. Montri, J. Lisowski, and J. P. Amans, Real-time focal-plane wavefront sensing for compact imaging phased-array telescopes: numerical and experimental demonstration, Airborne Intelligence, Surveillance, Reconnaissance (ISR) Systems and Applications X, pp.87130-87130, 2013.
DOI : 10.1117/12.2015860

. Bibliographie and . Baron, Cophasing a wide field multi-aperture array by phase diversity : influence of aperture redundancy and dilution, OFFICE NATIONAL D ETUDES ET DE RECHERCHES AEROSPATIALES ONERA-PUBLICATIONS-TP, vol.29, 2003.

. Baron, Unambiguous phase retrieval as a cophasing sensor for phased array telescopes, Journal of the Optical Society of America A, vol.25, issue.5, pp.251000-1015, 2008.
DOI : 10.1364/JOSAA.25.001000

URL : http://laurent.mugnier.free.fr/publis/Baron-JOSAA-08.pdf

A. Blanc, Identification de réponse impulsionnelle et restauration d'images : apport de la diversité de phase, 2002.

. Bucci, Regularizing strategy for image restoration and wave-front sensing by phase diversity, Journal of the Optical Society of America A, vol.16, issue.7, pp.161759-1768, 1999.
DOI : 10.1364/JOSAA.16.001759

A. Carlisle, R. E. Carlisle, and D. S. Acton, Demonstration of extended capture range for James Webb Space Telescope phase retrieval, Applied Optics, vol.54, issue.21, pp.546454-6460, 2015.
DOI : 10.1364/AO.54.006454

. Carrara, Aberration correction of segmented-aperture telescopes by using phase diversity, Image Reconstruction from Incomplete Data, pp.56-63, 2000.
DOI : 10.1117/12.409286

F. Cassaing, Analyse d'un instrumentàinstrument`instrumentà synthèse d'ouverture optique : méthodes de cophasage et imageriè a haute résolution angulaire, 1998.

. Cassaing, BRISE: a multipurpose bench for cophasing sensors, Advances in Stellar Interferometry, 2006.
DOI : 10.1117/12.671930

. Chanan, Phasing the mirror segments of the Keck telescopes II: the narrow-band phasing algorithm, Applied Optics, vol.39, issue.25, pp.394706-4714, 2000.
DOI : 10.1364/AO.39.004706

. Dean, Phase retrieval algorithm for JWST Flight and Testbed Telescope, Space Telescopes and Instrumentation I: Optical, Infrared, and Millimeter, pp.626511-626511, 2006.
DOI : 10.1117/12.673569

B. Denolle, Définition et caractérisation d'un nouvel analyseur de front d'onde plan focal temps réel, BIBLIOGRAPHIE, vol.6, 2013.

. Denolle, Real-time focal-plane wavefront sensing for compact imaging phasedarray telescopes : numerical and experimental demonstration, pp.87130-87130, 2013.
DOI : 10.1117/12.2015860

. Dimmler, E-ELT primary mirror control system, Ground-based and Airborne Telescopes II, 2008.
DOI : 10.1117/12.790476

R. W. Gerchberg, A practical algorithm for the determination of the phase from image and diffraction plane pictures, Optik, vol.35, issue.2, pp.237-246, 1972.

R. A. Gonsalves, Phase Retrieval And Diversity In Adaptive Optics, Optical Engineering, vol.21, issue.5, pp.215829-215829, 1982.
DOI : 10.1117/12.7972989

F. Harvey, J. E. Harvey, and C. Ftaclas, Fundamental limitations on off-axis performance of phased telescope arrays, 1990.

. Jurling, . Fienup, A. S. Jurling, and J. R. Fienup, Applications of algorithmic differentiation to phase retrieval algorithms, Journal of the Optical Society of America A, vol.31, issue.7, pp.311348-1359, 2014.
DOI : 10.1364/JOSAA.31.001348

. Lee, Cram??r???Rao analysis of phase-diverse wave-front sensing, Journal of the Optical Society of America A, vol.16, issue.5, pp.1005-1015, 1999.
DOI : 10.1364/JOSAA.16.001005

. Lee, Point-by-point approach to phase-diverse phase retrieval, IR space telescopes and Instruments, pp.441-452, 2003.
DOI : 10.1117/12.461564

. Meimon, Phasing segmented telescopes with long-exposure phase diversity images, Ground-based and Airborne Telescopes II, 2008.
DOI : 10.1117/12.787835

. Meynadier, Noise propagation in wave-front sensing with phase diversity, Applied Optics, vol.38, issue.23, pp.384967-4979, 1999.
DOI : 10.1364/AO.38.004967

. Michau, Wavefront sensing from extended sources, Real Time and Post Facto Solar Image Correction, p.124, 1993.
DOI : 10.1117/12.682728

. Michelson, . Pease, A. A. Michelson, and F. G. Pease, Measurement of the Diameter of Alpha-Orionis by the Interferometer, Proceedings of the National Academy of Sciences, vol.7, issue.5, pp.143-146, 1921.
DOI : 10.1073/pnas.7.5.143

B. Mocoeur, DARWIN fringe sensor: experimental results on the BRISE bench, Advances in Stellar Interferometry, 2006.
DOI : 10.1117/12.671705

. Mocoeur, Analytical solution to the phase-diversity problem for real-time wavefront sensing, Optics Letters, vol.34, issue.22, pp.343487-3489, 2009.
DOI : 10.1364/OL.34.003487

. Mugnier, Phase Diversity: A Technique for Wave-Front Sensing and for Diffraction-Limited Imaging, Advances in Imaging and Electron Physics, pp.1-76, 2006.
DOI : 10.1016/S1076-5670(05)41001-0

URL : https://hal.archives-ouvertes.fr/hal-00408562

R. J. Noll, Zernike polynomials and atmospheric turbulence*, Journal of the Optical Society of America, vol.66, issue.3, pp.207-211, 1976.
DOI : 10.1364/JOSA.66.000207

F. Paxman, R. G. Paxman, and J. R. Fienup, Optical misalignment sensing and image reconstruction using phase diversity, Journal of the Optical Society of America A, vol.5, issue.6, pp.914-923, 1988.
DOI : 10.1364/JOSAA.5.000914

URL : https://www.researchgate.net/profile/Richard_Paxman/publication/247775815_Optical_misalignment_sensing_and_image_reconstruction_using_phase_diversity/links/542423730cf26120b7a71e77.pdf?origin%3Dpublication_detail

. Paxman, Joint estimation of object and aberrations by using phase diversity, Journal of the Optical Society of America A, vol.9, issue.7, pp.91072-1085, 1992.
DOI : 10.1364/JOSAA.9.001072

. Perrin, Preparing for JWST wavefront sensing and control operations, pp.99040-99040, 2016.
DOI : 10.1117/12.2233104

. Redding, Wavefront sensing and control for a Next-Generation Space Telescope, Space Telescopes and Instruments V, pp.758-772, 1998.
DOI : 10.1117/12.324494

G. Rousset, Wave-front sensors, Adaptive optics in astronomy, vol.1, p.91, 1999.
DOI : 10.1017/CBO9780511525179.005

. Ruilier, C. Cassaing-]-ruilier, and F. Cassaing, Coupling of large telescopes and single-mode waveguides: application to stellar interferometry, Journal of the Optical Society of America A, vol.18, issue.1, pp.143-149, 2001.
DOI : 10.1364/JOSAA.18.000143

. Shack, . Platt, R. V. Shack, and B. Platt, Production and use of a lenticular hartmann screen, In Journal of the Optical Society of America AMER INST PHYSICS CIRCULATION FULFILLMENT, vol.61, pp.656-11797, 1971.

. Shi, Experimental verification of dispersed fringe sensing as a segment phasing technique using the keck telescope, Applied optics, issue.23, pp.434474-4481, 2004.

. Thelen, Maximum a posteriori estimation of fixed aberrations, dynamic aberrations, and the object from phase-diverse speckle data, Journal of the Optical Society of America A, vol.16, issue.5, pp.1016-1025, 1999.
DOI : 10.1364/JOSAA.16.001016

S. T. Thurman, Method of obtaining wavefront slope data from through-focus point spread function measurements, Journal of the Optical Society of America A, vol.28, issue.1, pp.1-7, 2011.
DOI : 10.1364/JOSAA.28.000001

. Vievard, Real-time alignment and co-phasing of multi-aperture systems using phase diversity, SPIE Astronomical Telescopes+ Instrumentation, pages 99062Q? 99062Q. International Society for Optics and Photonics, 2016.

. Vievard, Large amplitude tip/tilt estimation by geometric diversity for multiple-aperture telescopes, Journal of the Optical Society of America A, vol.34, issue.8, 2017.
DOI : 10.1364/JOSAA.34.001272

URL : https://hal.archives-ouvertes.fr/hal-01712191

. Vogel, Fast algorithms for phase-diversity-based blind deconvolution, Adaptive Optical System Technologies, 1998.
DOI : 10.1117/12.321720

URL : http://www.math.montana.edu/~vogel/Papers/spie98kona.ps.gz

A. Wirth, Dispersed hartmann sensor and method for mirror segment alignment and phasing, US Patent, vol.6649, p.895, 2003.