J. Als-nielsen and D. Mcmorrow, Elements of Modern X-ray Physics, 2001.
DOI : 10.1002/9781119998365

H. Winick, G. Brown, K. Halbach, and J. Harris, Wiggler and undulator magnets, Physics Today, vol.34, issue.5, p.5, 1981.
DOI : 10.1063/1.2914568

H. Wiedemann, Synchrotron Radiation, 2002.
DOI : 10.1007/978-3-662-05312-6

P. J. Duke, Synchrotron Radiation: Production and Properties, 2009.

D. Vaughan, X-ray data booklet. Center for X-ray optics, 1985.
DOI : 10.2172/6359890

M. Born and E. Wolf, Principles of Optics: Electromagnetic Theory of Propagation , Interference and Diffraction of Light, 1999.
DOI : 10.1017/CBO9781139644181

L. Bragg, The development of X-ray analysis, Contemporary Physics, vol.17, issue.1, pp.103-107, 1976.
DOI : 10.1080/00107517608210844

M. Dierolf, A. Menzel, P. Thibault, P. Schneider, C. M. Kewish et al., Ptychographic X-ray computed tomography at the nanoscale, Nature, vol.109, issue.7314, pp.436-445, 2010.
DOI : 10.1038/nature09419

P. Thibault, M. Dierolf, A. Menzel, O. Bunk, C. David et al., High-Resolution Scanning X-ray Diffraction Microscopy, Science, vol.321, issue.5887, pp.379-82, 2008.
DOI : 10.1126/science.1158573

A. Schropp, P. Boye, J. M. Feldkamp, R. Hoppe, J. Patommel et al., Hard x-ray nanobeam characterization by coherent diffraction microscopy, Applied Physics Letters, vol.96, issue.9, p.91102, 2010.
DOI : 10.1063/1.3332591

J. R. Fienup, Phase retrieval algorithms: a comparison, Applied Optics, vol.21, issue.15, pp.2758-69, 1982.
DOI : 10.1364/AO.21.002758

C. M. Kewish, M. Guizar-sicairos, C. Liu, J. Qian, B. Shi et al., Reconstruction of an astigmatic hard X-ray beam and alignment of K-B mirrors from ptychographic coherent diffraction data, Optics Express, vol.18, issue.22, pp.23-420, 2010.
DOI : 10.1364/OE.18.023420

C. M. Kewish, P. Thibault, M. Dierolf, O. Bunk, A. Menzel et al., Ptychographic characterization of the wavefield in the focus of reflective hard X-ray optics, Ultramicroscopy, vol.110, issue.4, pp.325-334, 2010.
DOI : 10.1016/j.ultramic.2010.01.004

H. F. Talbot, Facts relating to optical science, pp.401-1836
DOI : 10.1080/14786443408648329

T. J. Suleski, Generation of Lohmann images from binary-phase Talbot array illuminators, Applied Optics, vol.36, issue.20, pp.4686-91, 1997.
DOI : 10.1364/AO.36.004686

J. T. Winthrop and C. R. Worthington, Theory of Fresnel Images I Plane Periodic Objects in Monochromatic Light*, Journal of the Optical Society of America, vol.55, issue.4, pp.373-80, 1965.
DOI : 10.1364/JOSA.55.000373

R. F. Edgar, The Fresnel Diffraction Images of Periodic Structures, Optica Acta: International Journal of Optics, vol.11, issue.3, pp.281-288, 1969.
DOI : 10.1098/rspa.1953.0071

J. P. Guigay, P. Cloetens, J. P. Guigay, C. De-martino, J. Baruchel et al., On Fresnel diffraction by one-dimensional periodic objects, with application to structure determination of phase objects Fractional Talbot imaging of phase gratings with hard x rays, Optica Acta: International Journal of Optics Optics Letters, vol.1823, issue.22, pp.677-82, 1971.

R. Cerbino, L. Peverini, M. A. Potenza, A. Robert, P. Bösecke et al., X-ray-scattering information obtained from near-field speckle, Nature Physics, vol.85, issue.3, pp.238-281, 2008.
DOI : 10.1038/nphys837

E. Ziegler, J. Hoszowska, T. Bigault, L. Peverini, J. Y. Massonnat et al., The ESRF BM05 Metrology Beamline: Instrumentation And Performance Upgrade, AIP Conference Proceedings, pp.436-445, 2004.
DOI : 10.1063/1.1757827

H. Mimura, S. Handa, T. Kimura, H. Yumoto, D. Yamakawa et al., Breaking the 10???nm barrier in hard-X-ray focusing, Nature Physics, vol.21, issue.2, pp.122-127, 2010.
DOI : 10.1038/nphys1457

A. Snigirev, V. Kohn, I. Snigireva, A. Souvorov, and B. Lengeler, Focusing high-energy x rays by compound refractive lenses, Applied Optics, vol.37, issue.4, pp.653-62, 1998.
DOI : 10.1364/AO.37.000653

B. Lengeler, C. G. Schröer, B. Benner, A. Gerhardus, T. F. Günzler et al., Parabolic refractive X-ray lenses, Journal of Synchrotron Radiation, vol.9, issue.3, pp.119-143, 2002.
DOI : 10.1107/S0909049502003436

K. Evans-lutterodt, J. Ablett, A. Stein, C. Kao, D. Tennant et al., Single-element elliptical hard x-ray micro-optics, Optics Express, vol.11, issue.8, pp.919-945, 2003.
DOI : 10.1364/OE.11.000919

C. G. Schröer, Focusing hard x rays to nanometer dimensions using Fresnel zone plates, Physical Review B, vol.74, issue.3, p.33405, 2006.
DOI : 10.1103/PhysRevB.74.033405

D. H. Bilderback, A. K. Freund, G. S. Knapp, and D. M. Mills, The historical development of cryogenically cooled monochromators for third-generation synchrotron radiation sources, Journal of Synchrotron Radiation, vol.7, issue.2, pp.53-60, 2000.
DOI : 10.1107/S0909049500000650

I. V. Kozhevnikov, I. N. Bukreeva, and E. Ziegler, Design of X-ray supermirrors Nuclear Instruments and Methods in Physics Research Section A: Accelerators , Spectrometers, Detectors and Associated Equipment, pp.424-467, 2001.

C. Morawe, E. Ziegler, J. Peffen, and I. V. Kozhevnikov, Design and fabrication of depth-graded X-ray multilayers Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, pp.189-98, 2002.

H. Yan, X-ray nanofocusing by kinoform lenses: A comparative study using different modeling approaches, Physical Review B, vol.81, issue.7, p.75402, 2010.
DOI : 10.1103/PhysRevB.81.075402

S. Goto, M. Yabashi, K. Tamasaku, and T. Ishikawa, Characterization of Beryllium Windows for Coherent X-ray Optics, AIP Conference Proceedings, pp.1057-60, 2007.
DOI : 10.1063/1.2436245

J. Labiche, The FReLoN camera Avail- able: http://www.esrf The PCO camera, 2007.

S. G. Alcock, K. J. Sawhney, S. Scott, U. Pedersen, R. Walton et al., The Diamond-NOM: A non-contact profiler capable of characterizing optical figure error with sub-nanometre repeatability, Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, pp.224-232, 2010.
DOI : 10.1016/j.nima.2009.10.137

A. V. Rommeveaux, B. Lantelme, and R. Barrett, ESRF metrology laboratory: overview of instrumentation, measurement techniques, and data analysis Handbook of Optical Metrology: principles and applications, pp.780-107, 2009.

R. Soufli, M. J. Pivovaroff, S. L. Baker, J. C. Robinson, E. M. Gullikson et al., Advances in X-ray/EUV optics and components III, C. M. S. Goto, A. Khounsaryc SPIE, vol.7077, p.707716, 2008.

E. Ziegler, L. Peverini, N. Vaxelaire, A. Cordon-rodriguez, A. Rommeveaux et al., Evolution of surface roughness in silicon X-ray mirrors exposed to a low-energy ion beam, Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, pp.188-92, 2010.
DOI : 10.1016/j.nima.2009.12.062

O. Hignette, A. K. Freund, and E. Chinchio, Incoherent X-ray mirror surface metrology, pp.188-99

P. Naulleau, P. Batson, P. Denham, D. Richardson, and J. Underwood, An in situ scanning-slit alignment system for Kirkpatrick???Baez optics, Optics Communications, vol.212, issue.4-6, pp.225-258, 2002.
DOI : 10.1016/S0030-4018(02)02021-7

P. Kirkpatrick and A. V. Baez, Formation of Optical Images by X-Rays, Journal of the Optical Society of America, vol.38, issue.9, pp.766-73, 1948.
DOI : 10.1364/JOSA.38.000766

J. Miao, P. Charalambous, J. Kirz, and D. Sayre, Extending the methodology of X-ray crystallography to allow imaging of micrometre-sized non-crystalline specimens, Nature, vol.400, issue.6742, pp.342-346, 1999.
DOI : 10.1038/22498

G. J. Williams, M. A. Pfeifer, I. A. Vartanyants, and I. K. Robinson, Three-Dimensional Imaging of Microstructure in Au Nanocrystals, Threedimensional imaging of microstructure in Au nanocrystals, p.175501, 2003.
DOI : 10.1103/PhysRevLett.90.175501

F. Livet and M. Sutton, X-ray coherent scattering in metal physics, Comptes Rendus Physique, vol.13, issue.3, pp.227-263, 2012.
DOI : 10.1016/j.crhy.2011.11.009

URL : https://hal.archives-ouvertes.fr/hal-00728100

A. Schropp, R. Hoppe, J. Patommel, D. Samberg, F. Seiboth et al., Hard x-ray scanning microscopy with coherent radiation: Beyond the resolution of conventional x-ray microscopes, Applied Physics Letters, vol.100, issue.25, p.253112, 2012.
DOI : 10.1063/1.4729942

U. Bonse and M. Hart, AN X???RAY INTERFEROMETER, Applied Physics Letters, vol.6, issue.8, p.155, 1965.
DOI : 10.1063/1.1754212

A. Momose, T. Takeda, Y. Itai, and K. Hirano, Phase???contrast X???ray computed tomography for observing biological soft tissues, Nature Medicine, vol.2, issue.4, pp.473-478, 1996.
DOI : 10.1063/1.1140798

P. Cloetens, W. Ludwig, J. Baruchel, D. V. Dyck, J. V. Landuyt et al., Holotomography: Quantitative phase tomography with micrometer resolution using hard synchrotron radiation x rays, Applied Physics Letters, vol.75, issue.19, pp.2912-2916, 1999.
DOI : 10.1063/1.125225

T. E. Gureyev, S. Mayo, S. W. Wilkins, D. Paganin, and A. W. Stevenson, Quantitative In-Line Phase-Contrast Imaging with Multienergy X Rays, Physical Review Letters, vol.86, issue.25, pp.5827-5857, 2001.
DOI : 10.1103/PhysRevLett.86.5827

D. Paganin, S. C. Mayo, T. E. Gureyev, P. R. Miller, and S. W. Wilkins, Simultaneous phase and amplitude extraction from a single defocused image of a homogeneous object, Journal of Microscopy, vol.206, issue.1, pp.33-40, 2002.
DOI : 10.1046/j.1365-2818.2002.01010.x

T. Weitkamp, D. Haas, D. Wegrzynek, and A. Rack, : software for single-distance phase??retrieval from inline X-ray phase-contrast radiographs, Journal of Synchrotron Radiation, vol.55, issue.4, pp.617-646, 2011.
DOI : 10.1107/S0909049511002895

M. Langer, P. Cloetens, J. Guigay, and F. Peyrin, Quantitative comparison of direct phase retrieval algorithms in in-line phase tomography, Medical Physics, vol.78, issue.10, pp.4556-66, 2008.
DOI : 10.1063/1.2783112

URL : https://hal.archives-ouvertes.fr/hal-00443304

P. Coan, F. Bamberg, P. C. Diemoz, A. Bravin, K. Timpert et al., Characterization of osteoarthritic and normal human patella cartilage by computed tomography Xray phase-contrast imaging: a feasibility study, Investigative Radiology, vol.45, pp.437-481, 2010.

P. Mercere, S. Bucourt, G. Cauchon, D. Douillet, G. Dovillaire et al., Xray beam metrology and X-ray optic alignment by Hartmann wavefront sensing, pp.592-109
DOI : 10.1117/12.622799

P. Mercère, M. Idir, T. Moreno, G. Cauchon, G. Dovillaire et al., Automatic alignment of a Kirkpatrick-Baez active optic by use of a soft-x-ray Hartmann wavefront sensor, Optics Letters, vol.31, issue.2, pp.199-201, 2006.
DOI : 10.1364/OL.31.000199

]. A. Olivo and R. Speller, A coded-aperture technique allowing x-ray phase contrast imaging with conventional sources, Applied Physics Letters, vol.91, issue.7, pp.74-106, 2007.
DOI : 10.1063/1.2772193

A. Olivo, K. Ignatyev, P. R. Munro, and R. D. Speller, Noninterferometric phase-contrast images obtained with incoherent x-ray sources, Applied Optics, vol.50, issue.12, pp.1765-1774, 2011.
DOI : 10.1364/AO.50.001765

C. David, B. Nöhammer, H. H. Solak, and E. Ziegler, Differential x-ray phase contrast imaging using a shearing interferometer, Applied Physics Letters, vol.81, issue.17, pp.3287-3296, 2002.
DOI : 10.1063/1.1516611

A. Momose, S. Kawamoto, I. Koyama, Y. Hamaishi, K. Takai et al., Demonstration of X-Ray Talbot Interferometry, Japanese Journal of Applied Physics, vol.42, issue.Part 2, No. 7B, p.866, 2003.
DOI : 10.1143/JJAP.42.L866

F. Pfeiffer, T. Weitkamp, O. Bunk, and C. David, Phase retrieval and differential phase-contrast imaging with low-brilliance X-ray sources, Nature Physics, vol.5535, issue.4, pp.258-61, 2006.
DOI : 10.1107/S0909049501002746

D. X. Group, XFEL: The European X-ray Free-electron Laser, 2006.

I. Zanette, M. Bech, A. Rack, G. Le-duc, P. Tafforeau et al., Trimodal low-dose X-ray tomography, Proceedings of the National Academy of Sciences, 2012.
DOI : 10.1073/pnas.1117861109

URL : http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3387041

T. Weitkamp, B. Nöhammer, A. Diaz, C. David, and E. Ziegler, X-ray wavefront analysis and optics characterization with a grating interferometer, Applied Physics Letters, vol.86, issue.5, pp.54-101, 2005.
DOI : 10.1063/1.1857066

S. Rutishauser, L. Samoylova, J. Krzywinski, O. Bunk, J. Grunert et al., Exploring the wavefront of hard X-ray free-electron laser radiation, Nature Communications, vol.7077, p.947, 2012.
DOI : 10.1364/AO.26.001668

URL : https://hal.archives-ouvertes.fr/hal-00874205

J. Wyant and K. Creath, Applied optics and optical engineering, 1992.

V. Ronchi, Forty Years of History of a Grating Interferometer, Applied Optics, vol.3, issue.4, pp.437-51, 1964.
DOI : 10.1364/AO.3.000437

S. Bérujon-]-s, T. Yokozeki, and . Suzuki, Shearing interferometer using the grating as the beam splitter, Applied Optics, vol.10, issue.76, pp.1575-80, 1971.

A. W. Lohmann and D. E. Silva, An interferometer based on the Talbot effect, Optics Communications, vol.2, issue.9, pp.413-418, 1971.
DOI : 10.1016/0030-4018(71)90055-1

I. Zanette, C. David, S. Rutishauser, and T. Weitkamp, 2D grating simulation for X-ray phase-contrast and dark-field imaging with a Talbot interferometer, AIP Conference Proceedings, vol.1221, pp.73-82, 2010.
DOI : 10.1063/1.3399260

C. David, J. Bruder, T. Rohbeck, C. Grunzweig, C. Kottler et al., Fabrication of diffraction gratings for hard X-ray phase contrast imaging, Microelectronic Engineering, vol.84, issue.5-8, 2007.
DOI : 10.1016/j.mee.2007.01.151

S. Rutishauser, M. Bednarzik, I. Zanette, T. Weitkamp, M. Börner et al., Fabrication of two-dimensional hard X-ray diffraction gratings, Microelectronic Engineering, vol.101, pp.12-18, 2013.
DOI : 10.1016/j.mee.2012.08.025

C. David, B. Nöhammer, and E. Ziegler, Wavelength tunable diffractive transmission lens for hard x rays, Applied Physics Letters, vol.79, issue.8, pp.1088-90, 2001.
DOI : 10.1063/1.1379364

H. W. Schnopper, L. P. Van-speybroeck, J. P. Delvaille, A. Epstein, E. Källne et al., Diffraction grating transmission efficiencies for XUV and soft x rays, Applied Optics, vol.16, issue.4, pp.1088-91, 1977.
DOI : 10.1364/AO.16.001088

J. P. Guigay, C. Morawe, V. Mocella, and C. Ferrero, An analytical approach to estimating aberrations in curved multilayer optics for hard x-rays: 1. Derivation of caustic shapes, Optics Express, vol.16, issue.16, pp.12-050, 2008.
DOI : 10.1364/OE.16.012050

F. Krejci, J. Jakubek, and M. Kroupa, Single grating method for low dose 1-D and 2-D phase contrast X-ray imaging, Journal of Instrumentation, vol.6, issue.01, p.1073, 2011.
DOI : 10.1088/1748-0221/6/01/C01073

E. Reznikova, J. Mohr, M. Boerner, V. Nazmov, and P. Jakobs, Soft Xray lithography of high aspect ratio SU8 submicron structures, Microsystem Technologies, pp.1683-1691, 2008.

S. Rutishauser, I. Zanette, T. Donath, A. Sahlholm, J. Linnros et al., Structured scintillator for hard x-ray grating interferometry, Applied Physics Letters, vol.98, issue.17, pp.171-107, 2011.
DOI : 10.1063/1.3583464

K. Creath, Phase-shifting interferometry techniques, ser. Progress in Optics, 1988.

]. P. Krzysztof, Moiré methods in interferometry, Optics and Lasers in Engineering, vol.8, pp.147-70, 1988.

K. A. Goldberg and J. Bokor, Fourier-transform method of phase-shift determination, Applied Optics, vol.40, issue.17, pp.2886-94, 2001.
DOI : 10.1364/AO.40.002886

M. V. Murty and E. C. Hagerott, Rotational???Shearing Interferometry, Applied Optics, vol.5, issue.4, pp.615-624, 1966.
DOI : 10.1364/AO.5.000615

T. Weitkamp, A. Diaz, C. David, F. Pfeiffer, M. Stampanoni et al., X-ray phase imaging with a grating interferometer, Optics Express, vol.13, issue.16, pp.6296-304, 2005.
DOI : 10.1364/OPEX.13.006296

T. Donath, M. Chabior, F. Pfeiffer, O. Bunk, E. Reznikova et al., Inverse geometry for grating-based x-ray phase-contrast imaging, Journal of Applied Physics, vol.106, issue.5, pp.54-703, 2009.
DOI : 10.1063/1.3208052

S. A. Mcdonald, F. Marone, C. Hintermuller, G. Mikuljan, C. David et al., Advanced phase-contrast imaging using a grating interferometer, Journal of Synchrotron Radiation, vol.16, issue.4, pp.562-72, 2009.
DOI : 10.1107/S0909049509017920

I. Zanette, T. Weitkamp, T. Donath, S. Rutishauser, and C. David, Two-Dimensional X-Ray Grating Interferometer, Physical Review Letters, vol.105, issue.24, p.248102, 2010.
DOI : 10.1103/PhysRevLett.105.248102

S. Rutishauser, I. Zanette, T. Weitkamp, T. Donath, and C. David, At-wavelength characterization of refractive x-ray lenses using a two-dimensional grating interferometer, Applied Physics Letters, vol.99, issue.22, p.221104, 2011.
DOI : 10.1063/1.3665063

A. Momose, Y. Takeda, W. Yashiro, A. Takeuchi, and Y. Suzuki, X-ray phase tomography with a Talbot interferometer in combination with an X-ray imaging microscope, Journal of Physics: Conference Series, vol.186, p.12044, 2009.
DOI : 10.1088/1742-6596/186/1/012044

A. Momose, W. Yashiro, M. Moritake, Y. Takeda, K. Uesugi et al., Biomedical imaging by Talbot-type x-ray phase tomography, Developments in X-Ray Tomography V, p.63180, 2006.
DOI : 10.1117/12.678443

T. Weitkamp, A. Diaz, B. N-'öhammer, F. Pfeiffer, M. Stampanoni et al., Moire interferometry formulas for hard x-ray wavefront sensing, Advances in Mirror Technology for X-Ray, EUV Lithography, Laser, and Other Applications II, pp.140-144, 2004.
DOI : 10.1117/12.559695

H. Wang, K. Sawhney, S. Berujon, E. Ziegler, S. Rutishauser et al., X-ray wavefront characterization using a rotating shearing interferometer technique, Optics Express, vol.19, issue.17, pp.16-550, 2011.
DOI : 10.1364/OE.19.016550

M. Takeda, H. Ina, and S. Kobayashi, Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry, Journal of the Optical Society of America, vol.72, issue.1, pp.156-60, 1982.
DOI : 10.1364/JOSA.72.000156

Q. Kemao, Windowed Fourier transform for fringe pattern analysis, Applied Optics, vol.43, issue.13, pp.2695-702, 2004.
DOI : 10.1364/AO.43.002695

L. R. Watkins, S. M. Tan, and T. H. Barnes, Determination of interferometer phase distributions by use of wavelets, Optics Letters, vol.24, issue.13, pp.905-912, 1999.
DOI : 10.1364/OL.24.000905

H. Itoh, K. Nagai, G. Sato, K. Yamaguchi, T. Nakamura et al., Two-dimensional grating-based???X-ray phase-contrast imaging using???Fourier transform phase retrieval, Optics Express, vol.19, issue.4, pp.3339-3385, 2011.
DOI : 10.1364/OE.19.003339

D. C. Ghiglia and L. A. Romero, Minimum Lp-norm two-dimensional phase unwrapping, Journal of the Optical Society of America A, vol.13, issue.10, pp.1999-2013, 1996.
DOI : 10.1364/JOSAA.13.001999

T. J. Flynn, Two-dimensional phase unwrapping with minimum weighted discontinuity, Journal of the Optical Society of America A, vol.14, issue.10, 1997.
DOI : 10.1364/JOSAA.14.002692

J. M. Bioucas-dias and V. , Phase unwrapping via Graph Cut, IEEE Transactions on Image Processing, 2007.
DOI : 10.1007/11492429_44

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.141.2041

M. A. Herráez, D. R. Burton, M. J. Lalor, and D. B. Clegg, Robust, simple, and fast algorithm for phase unwrapping, Applied Optics, vol.35, issue.29, pp.5847-52, 1996.
DOI : 10.1364/AO.35.005847

M. A. Schofield and Y. Zhu, Fast phase unwrapping algorithm for interferometric applications, Optics Letters, vol.28, issue.14, 2003.
DOI : 10.1364/OL.28.001194

S. A. Karout, M. A. Gdeisat, D. R. Burton, and M. J. Lalor, Two-dimensional phase unwrapping using a hybrid genetic algorithm, Applied Optics, vol.46, issue.5, pp.730-773, 2007.
DOI : 10.1364/AO.46.000730

M. Engelhardt, J. Baumann, M. Schuster, C. Kottler, F. Pfeiffer et al., High-resolution differential phase contrast imaging using a magnifying projection geometry with a microfocus x-ray source, Applied Physics Letters, vol.90, issue.22, p.224101, 2007.
DOI : 10.1063/1.2743928

R. S. Sirohi, T. Eiju, K. Matsuda, and T. H. Barnes, Multiple-beam lateral shear interferometry for optical testing, Applied Optics, vol.34, issue.16, pp.2864-70, 1995.
DOI : 10.1364/AO.34.002864

C. Elster and I. Weingartner, Solution to the shearing problem, Applied Optics, vol.38, issue.23, pp.5024-5055, 1999.
DOI : 10.1364/AO.38.005024

L. M. Sanchez-brea and F. J. , Near-field diffraction of gratings with surface defects, Applied Optics, vol.49, issue.11, pp.2190-2197, 2010.
DOI : 10.1364/AO.49.002190

G. H. Kaufmann, Advances in Speckle Metrology and Related Techniques, 2011.
DOI : 10.1002/9783527633852

A. Labeyrie, Attainment of diffraction limited resolution in large telescopes by Fourier analysing speckle patterns in star images, Annals of Applied Probability, vol.6, p.85, 1970.

J. W. Goodman, Speckle phenomena in optics; theory and applications, 2006.

L. Leushacke and M. Kirchner, Three-dimensional correlation coefficient of speckle intensity for rectangular and circular apertures, Journal of the Optical Society of America A, vol.7, issue.5, pp.827-859, 1990.
DOI : 10.1364/JOSAA.7.000827

M. Giglio, M. Carpineti, A. Vailati, and D. Brogioli, Near-field intensity correlations of scattered light, Applied Optics, vol.40, issue.24, pp.4036-4076, 2001.
DOI : 10.1364/AO.40.004036

R. Cerbino, Correlations of light in the deep Fresnel region: An extended Van Cittert and Zernike theorem, Physical Review A, vol.75, issue.5, p.53815, 2007.
DOI : 10.1103/PhysRevA.75.053815

G. Grübel and F. Zontone, Correlation spectroscopy with coherent X-rays, Journal of Alloys and Compounds, vol.362, issue.1-2, pp.3-11, 2004.
DOI : 10.1016/S0925-8388(03)00555-3

X. Lu, S. G. Mochrie, S. Narayanan, A. R. Sandy, and M. Sprung, X-ray near-field speckle: implementation and critical analysis, Journal of Synchrotron Radiation, vol.352, issue.468, pp.823-857, 2011.
DOI : 10.1107/S0909049511037149

URL : http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3258091

M. D. Alaimo, M. A. Potenza, M. Manfredda, G. Geloni, M. Sztucki et al., Probing the Transverse Coherence of an Undulator X-Ray Beam Using Brownian Particles, Physical Review Letters, vol.103, issue.19, p.194805, 2009.
DOI : 10.1103/PhysRevLett.103.194805

K. S. Morgan, D. M. Paganin, and K. K. Siu, X-ray phase imaging with a paper analyzer, Applied Physics Letters, vol.100, issue.12, pp.124-102, 2012.
DOI : 10.1063/1.3694918.1

K. A. Nugent, T. E. Gureyev, D. F. Cookson, D. Paganin, and Z. Barnea, Quantitative Phase Imaging Using Hard X Rays, Physical Review Letters, vol.77, issue.14, p.2961, 1996.
DOI : 10.1103/PhysRevLett.77.2961

B. Pan, K. Qian, H. Xie, and A. Asundi, Two-dimensional digital image correlation for in-plane displacement and strain measurement: a review, Measurement Science and Technology, vol.20, issue.6, p.62001, 2009.
DOI : 10.1088/0957-0233/20/6/062001

W. Zou, K. P. Thompson, and J. P. Rolland, Differential Shack-Hartmann curvature sensor: local principal curvature measurements, Journal of the Optical Society of America A, vol.25, issue.9, pp.2331-2338, 2008.
DOI : 10.1364/JOSAA.25.002331

R. Coisson, Spatial coherence of synchrotron radiation, Applied Optics, vol.34, issue.5, pp.904-912, 1995.
DOI : 10.1364/AO.34.000904

W. H. Southwell, Wave-front estimation from wave-front slope measurements, Journal of the Optical Society of America, vol.70, issue.8, pp.998-1006, 1980.
DOI : 10.1364/JOSA.70.000998

B. L. Henke, E. M. Gullikson, and J. C. Davis, X-Ray Interactions: Photoabsorption, Scattering, Transmission, and Reflection at E = 50-30,000 eV, Z = 1-92, Atomic Data and Nuclear Data Tables, pp.181-342, 1993.
DOI : 10.1006/adnd.1993.1013

A. Momose, Recent Advances in X-ray Phase Imaging, Japanese Journal of Applied Physics, vol.44, issue.9A, pp.6355-67, 2005.
DOI : 10.1143/JJAP.44.6355

K. Iwata, X-ray shearing interferometer and generalized grating imaging, Applied Optics, vol.48, issue.5, pp.886-92, 2009.
DOI : 10.1364/AO.48.000886

F. Pfeiffer, M. Bech, O. Bunk, P. Kraft, E. F. Eikenberry et al., Hard-X-ray dark-field imaging using a grating interferometer, Nature Materials, vol.84, issue.2, pp.134-141, 2008.
DOI : 10.1038/nmat2096

K. S. Morgan, D. M. Paganin, and K. K. Siu, Quantitative x-ray phase-contrast imaging using a single grating of comparable pitch to sample feature size, Optics Letters, vol.36, issue.1, pp.55-62, 2011.
DOI : 10.1364/OL.36.000055

J. Rizzi, T. Weitkamp, N. Guérineau, M. Idir, P. Mercère et al., Quadriwave lateral shearing interferometry in an achromatic and continuously self-imaging regime for future x-ray phase imaging, Optics Letters, vol.36, issue.8, pp.1398-400, 2011.
DOI : 10.1364/OL.36.001398

S. Berujon, E. Ziegler, R. Cerbino, and L. Peverini, Two-Dimensional X-Ray Beam Phase Sensing, Physical Review Letters, vol.108, issue.15, p.158102, 2012.
DOI : 10.1103/PhysRevLett.108.158102

T. Thuering, P. Modregger, T. Grund, J. Kenntner, C. David et al., High resolution, large field of view x-ray differential phase contrast imaging on a compact setup, Applied Physics Letters, vol.99, issue.4, pp.41-111, 2011.
DOI : 10.1063/1.3618672

V. Revol, C. Kottler, R. Kaufmann, I. Jerjen, T. Lüthi et al., X-ray interferometer with bent gratings: Towards larger fields of view, Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, pp.302-307, 2011.
DOI : 10.1016/j.nima.2010.11.040

D. Noda, M. Tanaka, K. Shimada, W. Yashiro, A. Momose et al., Fabrication of large area diffraction grating using LIGA process, Microsystem Technologies, pp.1311-1316, 2008.
DOI : 10.1007/s00542-008-0584-5

K. Ignatyev, P. R. Munro, D. Chana, R. D. Speller, and A. Olivo, Coded apertures allow high-energy x-ray phase contrast imaging with laboratory sources, Journal of Applied Physics, vol.110, issue.1, pp.14-906, 2011.
DOI : 10.1063/1.3605514

S. Berujon, H. Wang, I. Pape, K. Sawhney, S. Rutishauser et al., Xray submicrometer phase contrast imaging with a Fresnel zone plate and a two dimensional grating interferometer, Optics Letters, pp.1622-1626, 2012.

K. S. Morgan, D. M. Paganin, and K. K. Siu, Quantitative single-exposure x-ray phase contrast imaging using a single attenuation grid, Optics Express, vol.19, issue.20, pp.19-781, 2011.
DOI : 10.1364/OE.19.019781

T. E. Gureyev, D. M. Paganin, A. W. Stevenson, S. C. Mayo, and S. W. Wilkins, Generalized Eikonal of Partially Coherent Beams and Its Use in Quantitative Imaging, Physical Review Letters, vol.93, issue.6, p.68103, 2004.
DOI : 10.1103/PhysRevLett.93.068103

M. R. Teague, Image formation in terms of the transport equation, Journal of the Optical Society of America A, vol.2, issue.11, pp.2019-2045, 1985.
DOI : 10.1364/JOSAA.2.002019

S. T. Bérujon-]-r, R. Frankot, and . Chellappa, A method for enforcing integrability in shape from shading algorithms, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.10, issue.146, pp.439-51, 1988.

C. Kottler, C. David, F. Pfeiffer, and O. Bunk, A two-directional approach for grating based differential phase contrast imaging using hard x-rays, Optics Express, vol.15, issue.3, pp.1175-81, 2007.
DOI : 10.1364/OE.15.001175

M. Engelhardt, J. Baumann, M. Schuster, C. Kottler, F. Pfeiffer et al., Inspection of refractive x-ray lenses using high-resolution differential phase contrast imaging with a microfocus x-ray source, Review of Scientific Instruments, vol.78, issue.9, pp.93-707, 2007.
DOI : 10.1063/1.2786273

V. Ronchi, Le frange di combinazioni nello studio delle superficie e dei sistemi ottici, Rivista d'Ottica e Meccanica di precisione, pp.9-35, 1923.

V. Ronchi, Due nuovi metodi per lo studio delle superficie e dei sistemi ottici, Il Nuovo Cimento, vol.26, issue.1
DOI : 10.1007/BF02959347

O. Kafri, Noncoherent method for mapping phase objects, Optics Letters, vol.5, issue.12, pp.555-562, 1980.
DOI : 10.1364/OL.5.000555

O. Kafri and A. Livnat, Reflective surface analysis using moir?? deflectometry, Applied Optics, vol.20, issue.18, pp.3098-100, 1981.
DOI : 10.1364/AO.20.003098

A. Asundi and K. H. Yung, Phase-shifting and logical moir??, Journal of the Optical Society of America A, vol.8, issue.10, 1991.
DOI : 10.1364/JOSAA.8.001591

Y. Nakano and K. Murata, Talbot interferometry for measuring the small tilt angle variation of an object surface, Applied Optics, vol.25, issue.15, pp.2475-2482, 1986.
DOI : 10.1364/AO.25.002475

Y. Nakano, Measurements of the small tilt-angle variation of an object surface using moire interferometry and digital image processing, Applied Optics, vol.26, issue.18, pp.3911-3915, 1987.
DOI : 10.1364/AO.26.003911

P. Wu, F. Yu, Z. Li, Z. Yan, and Y. Shun, Analysis technique for the measurement of a three-dimensional object shape, Applied Optics, vol.32, issue.5, pp.737-779, 1993.
DOI : 10.1364/AO.32.000737

R. Signorato and M. S. Del-rio, <title>Structured slope errors on real x-ray mirrors: ray tracing versus experiment</title>, Materials, Manufacturing, and Measurement for Synchrotron Radiation Mirrors, 1997.
DOI : 10.1117/12.295553

P. Revesz, A. Kazimirov, and I. Bazarov, Optical measurement of thermal deformation of multilayer optics under synchrotron radiation Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, pp.142-147, 2007.

E. Ziegler, L. Peverini, I. V. Kozhevnikov, T. Weitkamp, and C. David, On-Line Mirror Surfacing Monitored by X-ray Shearing Interferometry and X-ray Scattering, AIP Conference Proceedings, pp.778-81, 2007.
DOI : 10.1063/1.2436176

H. Yumoto, H. Mimura, S. Matsuyama, S. Handa, Y. Sano et al., At-wavelength figure metrology of hard x-ray focusing mirrors, Review of Scientific Instruments, vol.77, issue.6, p.63712, 2006.
DOI : 10.1063/1.2216870

I. Glatt and O. Kafri, Moir?? deflectometry???ray tracing interferometry, Optics and Lasers in Engineering, vol.8, issue.3-4, pp.277-320, 1988.
DOI : 10.1016/0143-8166(88)90041-3

B. F. Oreb and R. G. Dorsch, Profilometry by phase-shifted Talbot images, Applied Optics, vol.33, issue.34, 1994.
DOI : 10.1364/AO.33.007955

S. Mirza and C. Shakher, Surface profiling using phase shifting Talbot interferometric technique, Optical Engineering, vol.44, issue.1, 2005.
DOI : 10.1117/1.1827608

J. D. Hoffman, Numerical Methods for Engineers and Scientists, Second Edition, 2001.

B. Lengeler, C. Schröer, J. Tümmler, B. Benner, M. Richwin et al., Imaging by parabolic refractive lenses in the hard X-ray range, Journal of Synchrotron Radiation, vol.6, issue.6, pp.1153-67, 1999.
DOI : 10.1107/S0909049599009747

H. Wang, S. Berujon, and K. Sawhney, Characterization of a one dimensional focusing compound refractive lens using the rotating shearing interferometer technique, AIP Conference Proceedings, vol.1466, pp.223-231, 2012.
DOI : 10.1063/1.4742296

L. Peverini, I. V. Kozhevnikov, A. Rommeveaux, P. V. Vaerenbergh, L. Claustre et al., Ion beam profiling of aspherical X-ray mirrors, Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, pp.115-123, 2010.
DOI : 10.1016/j.nima.2009.10.169

I. Preda, A. Vivo, F. Demarcq, S. Berujon, J. Susini et al., Ion beam etching of a flat silicon mirror surface: A study of the shape error evolution, Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, 2012.
DOI : 10.1016/j.nima.2012.10.136

K. J. Sawhney, S. G. Alcock, and R. Signorato, A novel adaptive bimorph focusing mirror and wavefront corrector with sub-nanometre dynamical figure control, Adaptive X-Ray Optics, p.780303, 2010.
DOI : 10.1117/12.861593

K. Yamauchi, H. Mimura, K. Inagaki, and Y. Mori, Figuring with subnanometer-level accuracy by numerically controlled elastic emission machining, Review of Scientific Instruments, vol.73, issue.11, pp.4028-4061, 2002.
DOI : 10.1063/1.1510573

R. K. Tyson, Principles of Adaptive Optics, Third Edition, ser. Series in Optics and Optoelectronics, 2010.

S. Barnett, Matrices: methods and applications, ser, Oxford Applied Mathematics & Computing Science Series, 1990.

R. Huang, The inverse problem of bimorph mirror tuning on a??beamline, Journal of Synchrotron Radiation, vol.13, issue.468, pp.930-937, 2011.
DOI : 10.1107/S0909049511036648

T. J. Davis, D. Gao, T. E. Gureyev, A. W. Stevenson, and S. W. Wilkins, Phase-contrast imaging of weakly absorbing materials using hard X-rays, Nature, vol.373, issue.6515, pp.595-603, 1995.
DOI : 10.1038/373595a0

C. Holzner, M. Feser, S. Vogt, B. Hornberger, S. B. Baines et al., Zernike phase contrast in scanning microscopy with X-rays, Nature Physics, vol.222, issue.11, pp.883-890, 2010.
DOI : 10.1016/j.ultramic.2006.12.006

A. Momose, Y. Takeda, W. Yashiro, A. Takeuchi, and Y. Suzuki, X-ray phase tomography with a Talbot interferometer in combination with an X-ray imaging microscope, Journal of Physics: Conference Series, vol.186, p.12044, 2009.
DOI : 10.1088/1742-6596/186/1/012044

K. L. Baker, X-ray wavefront analysis and phase reconstruction with a twodimensional shearing interferometer, Optical Engineering, pp.86-501, 2009.

C. David, S. Gorelick, S. Rutishauser, J. Krzywinski, J. Vila-comamala et al., High-efficiency Fresnel zone plates for hard X-rays by 100 keV e-beam lithography and electroplating, Journal of Synchrotron Radadiation, vol.18, pp.442-448, 2011.

T. Simchony, R. Chellappa, and M. Shao, Direct analytical methods for solving Poisson equations in computer vision problems, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.12, issue.5, pp.435-481, 1990.
DOI : 10.1109/34.55103

H. H. Wen, E. E. Bennett, R. Kopace, A. F. Stein, and V. Pai, Single-shot x-ray differential phase-contrast and diffraction imaging using two-dimensional transmission gratings, Optics Letters, vol.35, issue.12, pp.1932-1966, 2010.
DOI : 10.1364/OL.35.001932

URL : http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3091831

P. R. Munro, K. Ignatyev, R. D. Speller, and A. Olivo, Phase and absorption retrieval using incoherent X-ray sources, Proceedings of the National Academy of Sciences, vol.109, issue.35, pp.13-922, 2012.
DOI : 10.1073/pnas.1205396109

URL : http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3435200

S. C. Mayo and B. Sexton, Refractive microlens array for wave-front analysis in the medium to hard x-ray range, Optics Letters, vol.29, issue.8, pp.866-874, 2004.
DOI : 10.1364/OL.29.000866

W. Yashiro, Y. Takeda, A. Takeuchi, Y. Suzuki, and A. Momose, Hard-X-Ray Phase-Difference Microscopy Using a Fresnel Zone Plate and a Transmission Grating, Physical Review Letters, vol.103, issue.18, p.180801, 2009.
DOI : 10.1103/PhysRevLett.103.180801

S. Schleede, M. Bech, K. Achterhold, G. Potdevin, M. Gifford et al., Multimodal hard X-ray imaging of a mammography phantom at a compact synchrotron light source, Journal of Synchrotron Radiation, vol.13, issue.4, pp.525-534, 2012.
DOI : 10.1107/S0909049512017682

S. S. Bérujon-1, H. Berujon, I. Wang, K. Pape, S. Sawhney et al., X-ray submicrometer phase contrast imaging with a Fresnel zone plate and a two dimensional grating interferometer, Optics Letters, vol.37, issue.10, pp.1622-1626, 2012.
DOI : 10.1364/OL.37.001622

S. Berujon, E. Ziegler, R. Cerbino, and L. Peverini, Two-Dimensional X-Ray Beam Phase Sensing, Physical Review Letters, vol.108, issue.15, p.158102, 2012.
DOI : 10.1103/PhysRevLett.108.158102

S. Berujon and E. Ziegler, Grating-based at-wavelength metrology of hard x-ray reflective optics, Optics Letters, vol.37, issue.21, pp.4464-4470, 2012.
DOI : 10.1364/OL.37.004464

S. Berujon, H. Wang, and K. Sawhney, X-ray multimodal imaging using a random-phase object, Physical Review A, vol.86, issue.6, p.63813, 2012.
DOI : 10.1103/PhysRevA.86.063813

S. Berujon, H. Wang, I. Pape, and K. Sawhney, X-ray phase microscopy using the speckle tracking technique, Applied Physics Letters, vol.102, issue.15, 2013.
DOI : 10.1063/1.4802729

S. Berujon, H. Wang, E. Ziegler, and K. Sawhney, Shearing interferometer spatial resolution for at-wavelength hard X-ray metrology, Conference proceedings as first author: 1, pp.217-239, 2012.
DOI : 10.1063/1.4742295

S. Berujon, H. Wang, and K. Sawhney, At-wavelength metrology using the X-ray speckle tracking technique: case study of a X-ray compound refractive lens, Journal of Physics: Conference Series, vol.425, issue.5, p.52020, 2013.
DOI : 10.1088/1742-6596/425/5/052020

H. Wang, K. Sawhney, S. Berujon, E. Ziegler, S. Rutishauser et al., X-ray wavefront characterization using a rotating shearing interferometer technique, Optics Express, vol.19, issue.17, pp.16550-16559, 2011.
DOI : 10.1364/OE.19.016550

H. Wang, S. Berujon, and K. Sawhney, Characterization of a one dimensional focusing compound refractive lens using the rotating shearing interferometer technique, AIP Conference Proceedings, vol.1466, pp.223-231, 2012.
DOI : 10.1063/1.4742296

H. Wang, S. Berujon, I. Pape, S. Rutishauser, C. David et al., At-wavelength metrology using the moir?? fringe analysis method based on a two dimensional grating interferometer, Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, pp.78-81, 2013.
DOI : 10.1016/j.nima.2012.10.096

I. Preda, A. Vivo, F. Demarcq, S. Berujon, J. Susini et al., Ion beam etching of a flat silicon mirror surface: A study of the shape error evolution, Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, pp.98-100, 2013.
DOI : 10.1016/j.nima.2012.10.136

K. Sawhney, S. Alcock, J. Sutter, S. Berujon, H. Wang et al., Characterisation of a novel super-polished bimorph mirror, Journal of Physics: Conference Series, vol.425, issue.5, p.52026, 2013.
DOI : 10.1088/1742-6596/425/5/052026

H. Wang, S. Berujon, and K. Sawhney, Development of at-wavelength metrology using grating-based shearing interferometry at Diamond Light Source, Journal of Physics: Conference Series, vol.425, issue.5, p.52021, 2013.
DOI : 10.1088/1742-6596/425/5/052021