M. Minsky, Microscopy Apparatus, US patent 3,013, 1957.

E. Mudry, P. C. Chaumet, K. Belkebir, G. Maire, and A. Sentenac, Mirror-assisted tomographic diffractive microscopy with isotropic resolution, Optics Letters, vol.35, issue.11, pp.1857-1859, 2010.
DOI : 10.1364/OL.35.001857

URL : https://hal.archives-ouvertes.fr/hal-00484543

S. Hell and E. Stelzer, Properties of a 4Pi confocal fluorescence microscope, Journal of the Optical Society of America A, vol.9, issue.12, pp.2159-2166, 1992.
DOI : 10.1364/JOSAA.9.002159

E. Mudry, E. L. Moal, P. Ferrand, P. C. Chaumet, and A. Sentenac, Isotropic Diffraction-Limited Focusing Using a Single Objective Lens, Physical Review Letters, vol.105, issue.20, p.903, 2010.
DOI : 10.1103/PhysRevLett.105.203903

URL : https://hal.archives-ouvertes.fr/hal-00535900

E. L. Moal, E. Mudry, P. C. Chaumet, P. Ferrand, and A. Sentenac, Isotropic single-objective microscopy: theory and experiment, Journal of the Optical Society of America A, vol.28, issue.8, pp.1586-1594, 2011.
DOI : 10.1364/JOSAA.28.001586

URL : https://hal.archives-ouvertes.fr/hal-00607280

E. L. Moal, E. Mudry, P. C. Chaumet, P. Ferrand, and A. Sentenac, Two-photon fluorescence isotropic-single-objective microscopy, Optics Letters, vol.37, issue.1, pp.85-87, 2012.
DOI : 10.1364/OL.37.000085

URL : https://hal.archives-ouvertes.fr/hal-00657874

A. Sentenac and P. C. Chaumet, Subdiffraction Light Focusing on a Grating Substrate, Physical Review Letters, vol.101, issue.1, p.901, 2008.
DOI : 10.1103/PhysRevLett.101.013901

URL : https://hal.archives-ouvertes.fr/hal-00457328

R. Carminati, R. Pierrat, J. De-rosny, and M. Fink, Theory of the time reversal cavity for electromagnetic fields, Optics Letters, vol.32, issue.21, pp.3107-3109, 2007.
DOI : 10.1364/OL.32.003107

W. Lukosz, Optical Systems with Resolving Powers Exceeding the Classical Limit*, Journal of the Optical Society of America, vol.56, issue.11, pp.1463-1471, 1966.
DOI : 10.1364/JOSA.56.001463

M. G. Gustafsson, Surpassing the lateral resolution limit by a factor of two using structured illumination microscopy. SHORT COMMUNICATION, Journal of Microscopy, vol.198, issue.2, pp.82-87, 2000.
DOI : 10.1046/j.1365-2818.2000.00710.x

R. Heintzmann and C. G. Cremer, Laterally modulated excitation microscopy: improvement of resolution by using a diffraction grating, " in Optical Biopsies and Microscopic Techniques III, I, pp.185-196, 1999.

E. Mudry, K. Belkebir, J. Girard, J. Savatier, E. L. Moal et al., Structured illumination microscopy using unknown speckle patterns, Nature Photonics, vol.19, issue.5, pp.312-315, 2012.
DOI : 10.1038/nphoton.2012.83

URL : https://hal.archives-ouvertes.fr/hal-00738270

M. R. Hestenes and E. Stiefel, Methods of conjugate gradients for solving linear systems, Journal of Research of the National Bureau of Standards, vol.49, issue.6, pp.409-436, 1952.
DOI : 10.6028/jres.049.044

W. H. Press, B. P. Flannery, S. A. Teukolski, and W. T. , Vetterling, Numerical recipes. The art of scientific computing, 1986.

J. J. Goodman and P. J. Flatau, Application of fast-Fourier-transform techniques to the discrete-dipole approximation, Optics Letters, vol.16, issue.15, pp.1198-1200, 2002.
DOI : 10.1364/OL.16.001198

P. C. Chaumet and A. Rahmani, Efficient iterative solution of the discrete dipole approximation for magnetodielectric scatterers, Optics Letters, vol.34, issue.7, pp.917-919, 2009.
DOI : 10.1364/OL.34.000917

K. Belkebir and A. G. Tijhuis, gradient method and modified Born method for solving a two-dimensional inverse scattering problem, Inverse Problems, vol.17, issue.6, pp.1671-1688, 2001.
DOI : 10.1088/0266-5611/17/6/310

P. M. Van-den, R. E. Berg, and . Kleinman, A contrast source inversion method, Inverse Probl, vol.13, pp.1607-1620, 1997.

E. Mudry, P. C. Chaumet, K. Belkebir, and A. Sentenac, Electromagnetic wave imaging of three-dimensional targets using a hybrid iterative inversion method, Inverse Problems, vol.28, issue.6, p.65007, 2012.
DOI : 10.1088/0266-5611/28/6/065007

URL : https://hal.archives-ouvertes.fr/hal-00939212

Y. Ruan, P. Bon, E. Mudry, G. Maire, P. C. Chaumet et al., Tomographic diffractive microscopy with a wavefront sensor, Optics Letters, vol.37, issue.10, pp.37-1631, 2012.
DOI : 10.1364/OL.37.001631

URL : https://hal.archives-ouvertes.fr/hal-00697007

J. Gelles, B. Schnapp, and M. Sheetz, Tracking kinesin-driven movements with nanometre-scale precision, Nature, vol.331, issue.6155, pp.450-453, 1988.
DOI : 10.1038/331450a0

S. W. Hell and J. Wichmann, Breaking the diffraction resolution limit by stimulated emission: stimulated-emission-depletion fluorescence microscopy, Optics Letters, vol.19, issue.11, pp.780-782, 1994.
DOI : 10.1364/OL.19.000780

K. Fujita, M. Kobayashi, S. Kawano, M. Yamanaka, and S. Kawata, High-Resolution Confocal Microscopy by Saturated Excitation of Fluorescence, Physical Review Letters, vol.99, issue.22, p.105, 2007.
DOI : 10.1103/PhysRevLett.99.228105

E. H. Synge, A suggested method for extending microscopic resolution into the ultramicroscopic region, Philosophical Magazine Series, vol.7, issue.35, pp.6-356, 1928.

A. Lewis, M. Isaacson, A. Harootunian, and A. Muray, Development of a 500 ?? spatial resolution light microscope, Ultramicroscopy, vol.13, issue.3, pp.227-231, 1984.
DOI : 10.1016/0304-3991(84)90201-8

J. C. Maxwell, On the general laws of Optical Instruments, Quart. J. Pure Appl. Maths, vol.2, pp.233-246, 1858.
DOI : 10.1017/CBO9780511698095.020

A. Diaspro, Confocal and two-photon microscopy, 2002.

E. Botcherby, R. Ju?kaitis, M. Booth, and T. Wilson, An optical technique for remote focusing in microscopy, Optics Communications, vol.281, issue.4, pp.880-887, 2008.
DOI : 10.1016/j.optcom.2007.10.007

A. J. Dekker and A. Van-den-bos, Resolution: a survey, Journal of the Optical Society of America A, vol.14, issue.3, pp.547-557, 1997.
DOI : 10.1364/JOSAA.14.000547

M. A. Neil, R. Ju?kaitis, and T. Wilson, Method of obtaining optical sectioning by using structured light in a conventional microscope, Optics Letters, vol.22, issue.24, pp.1905-1907, 1997.
DOI : 10.1364/OL.22.001905

F. Zernike, Phase contrast, a new method for the microscopic observation of transparent objects, pp.686-698, 1942.

F. Zernike, Phase contrast, a new method for the microscopic observation of transparent objects part II, Physica, vol.9, issue.10, pp.974-986, 1942.
DOI : 10.1016/S0031-8914(42)80079-8

G. Nomarski, Interferential polarizing device for study of phase objects, 1953.

E. Stelzer, Contrast, resolution, pixelation, dynamic range and signal-to-noise ratio: fundamental limits to resolution in fluorescence light microscopy, Journal of Microscopy, vol.189, issue.1, pp.15-24, 1998.
DOI : 10.1046/j.1365-2818.1998.00290.x

A. Köhler, Ein neues Beleuchtungsverfahren für mikrophotographische Zwecke, Z Wiss Mikrosk, vol.10, issue.4, pp.433-440, 1893.

G. T. Francia, Degrees of Freedom of an Image, Journal of the Optical Society of America, vol.59, issue.7, pp.799-803, 1969.
DOI : 10.1364/JOSA.59.000799

E. D. Micheli and G. A. Viano, Inverse optical imaging viewed as a backward channel communication problem, Journal of the Optical Society of America A, vol.26, issue.6, pp.1393-1402, 2009.
DOI : 10.1364/JOSAA.26.001393

R. Pierri and F. Soldovieri, On the information content of the radiated fields in the near zone over bounded domains, Inverse Problems, vol.14, issue.2, p.321, 1998.
DOI : 10.1088/0266-5611/14/2/008

R. Piestun and D. A. Miller, Electromagnetic degrees of freedom of an optical system, Journal of the Optical Society of America A, vol.17, issue.5, pp.892-902, 2000.
DOI : 10.1364/JOSAA.17.000892

F. M. Huang and N. I. Zheludev, Super-Resolution without Evanescent Waves, Nano Letters, vol.9, issue.3, pp.1249-1254, 2009.
DOI : 10.1021/nl9002014

H. J. Hyvärinen, S. Rehman, J. Tervo, J. Turunen, and C. J. Sheppard, Limitations of superoscillation filters in microscopy applications, Optics Letters, vol.37, issue.5, pp.903-905, 2012.
DOI : 10.1364/OL.37.000903

P. J. Sementilli, B. R. Hunt, and M. S. Nadar, Analysis of the limit to superresolution in incoherent imaging, Journal of the Optical Society of America A, vol.10, issue.11, pp.2265-2276, 1993.
DOI : 10.1364/JOSAA.10.002265

R. Heintzmann, Estimating missing information by maximum likelihood deconvolution, Micron, vol.38, issue.2, pp.136-144, 2007.
DOI : 10.1016/j.micron.2006.07.009

A. Gur, D. Fixler, V. Micó, J. Garcia, and Z. Zalevsky, Linear optics based nanoscopy, Optics Express, vol.18, issue.21, pp.222-22231, 2010.
DOI : 10.1364/OE.18.022222.m001

B. Saleh, A priori information and the degrees of freedom of noisy images, Journal of the Optical Society of America, vol.67, issue.1, pp.71-76, 1977.
DOI : 10.1364/JOSA.67.000071

J. L. Harris, Diffraction and Resolving Power*, Journal of the Optical Society of America, vol.54, issue.7, pp.931-933, 1964.
DOI : 10.1364/JOSA.54.000931

N. Sandeau, H. Giovannini, P. Lenne, and H. Rigneault, Observation of the interferences between the emitted beams in a 4Pi microscope by partial coherence interferometry, Applied Physics Letters, vol.87, issue.18, 2005.
DOI : 10.1063/1.2120908

URL : https://hal.archives-ouvertes.fr/hal-00078951

K. Wicker and R. Heintzmann, Interferometric resolution improvement for confocal microscopes, Optics Express, vol.15, issue.19, pp.206-12216, 2007.
DOI : 10.1364/OE.15.012206

N. Sandeau, L. Wawrezinieck, P. Ferrand, H. Giovannini, and H. Rigneault, Increasing the lateral resolution of scanning microscopes by a factor of two using 2-Image microscopy, Journal of the European Optical Society: Rapid Publications, vol.4, 2009.
DOI : 10.2971/jeos.2009.09040

URL : https://hal.archives-ouvertes.fr/hal-00411252

R. Heintzmann, V. Sarafis, P. Munroe, J. Nailon, Q. Hanley et al., Resolution enhancement by subtraction of confocal signals taken at different pinhole sizes, Micron, vol.34, issue.6-7, pp.6-7, 2003.
DOI : 10.1016/S0968-4328(03)00054-4

W. Zhao, J. Tan, L. Qiu, and P. Jin, SABCMS, a new approach to higher lateral resolution of laser probe measurement system, Sensors and Actuators A: Physical, vol.120, issue.1, pp.17-25, 2005.
DOI : 10.1016/j.sna.2004.11.002

C. Sheppard, Super-resolution in Confocal Imaging, Optik, vol.80, issue.2, pp.53-54, 1988.

C. J. Sheppard and Z. S. Hegedus, Axial behavior of pupil-plane filters, Journal of the Optical Society of America A, vol.5, issue.5, pp.643-647, 1988.
DOI : 10.1364/JOSAA.5.000643

R. Dorn, S. Quabis, and G. Leuchs, Sharper focusing for a radially polarized light beam, Phys. Rev. Lett, vol.91, issue.233, p.901, 2003.

T. R. Sales, Smallest Focal Spot, Physical Review Letters, vol.81, issue.18, pp.3844-3847, 1998.
DOI : 10.1103/PhysRevLett.81.3844

F. Lemoult, G. Lerosey, J. De-rosny, and M. Fink, Resonant Metalenses for Breaking the Diffraction Barrier, Physical Review Letters, vol.104, issue.20, p.901, 2010.
DOI : 10.1103/PhysRevLett.104.203901

E. G. Van-putten, D. Akbulut, J. Bertolotti, W. L. Vos, A. Lagendijk et al., Scattering Lens Resolves Sub-100??nm Structures with Visible Light, Physical Review Letters, vol.106, issue.19, p.905, 2011.
DOI : 10.1103/PhysRevLett.106.193905

Z. Wang, W. Guo, L. Li, B. Luk-'yanchuk, A. Khan et al., Optical virtual imaging at 50 nm lateral resolution with a white-light nanoscope, Nature Communications, vol.2, 2011.
DOI : 10.1016/S0169-4332(02)01278-3

S. J. Strickler and R. A. Berg, Relationship between Absorption Intensity and Fluorescence Lifetime of Molecules, The Journal of Chemical Physics, vol.37, issue.4, pp.814-822, 1962.
DOI : 10.1063/1.1733166

L. Song, E. J. Hennink, I. Young, and H. J. Tanke, Photobleaching kinetics of fluorescein in quantitative fluorescence microscopy, Biophysical Journal, vol.68, issue.6, pp.2588-2600, 1995.
DOI : 10.1016/S0006-3495(95)80442-X

T. Dertinger, R. Colyer, G. Iyer, S. Weiss, and J. Enderlein, Fast, background-free, 3D super-resolution optical fluctuation imaging (SOFI), Proceedings of the National Academy of Sciences, vol.106, issue.52, pp.287-22292, 2009.
DOI : 10.1073/pnas.0907866106

R. R. Chance, A. Prock, and R. Silbey, Lifetime of an emitting molecule near a partially reflecting surface, The Journal of Chemical Physics, vol.60, issue.7, pp.2744-2748, 1974.
DOI : 10.1063/1.1681437

A. Rahmani, P. C. Chaumet, F. De-fornel, and C. Girard, Field propagator of a dressed junction:???Fluorescence lifetime calculations in a confined geometry, Physical Review A, vol.56, issue.4, pp.3245-3254, 1997.
DOI : 10.1103/PhysRevA.56.3245

E. Wolf, Three-dimensional structure determination of semi-transparent objects from holographic data, Optics Communications, vol.1, issue.4, pp.153-156, 1969.
DOI : 10.1016/0030-4018(69)90052-2

F. Natterer, An error bound for the Born approximation, Inverse Problems, vol.20, issue.2, p.447, 2004.
DOI : 10.1088/0266-5611/20/2/009

A. D. Yaghjian, Electric dyadic Green's functions in the source region, Proceedings of the IEEE, vol.68, issue.2, pp.248-263, 1980.
DOI : 10.1109/PROC.1980.11620

K. Belkebir, P. C. Chaumet, and A. Sentenac, Superresolution in total internal reflection tomography, Journal of the Optical Society of America A, vol.22, issue.9, pp.1889-1897, 2005.
DOI : 10.1364/JOSAA.22.001889

URL : https://hal.archives-ouvertes.fr/hal-00085245

V. Lauer, New approach to optical diffraction tomography yielding a vector equation of diffraction tomography and a novel tomographic microscope, Journal of Microscopy, vol.205, issue.2, pp.165-176, 2002.
DOI : 10.1046/j.0022-2720.2001.00980.x

URL : https://hal.archives-ouvertes.fr/hal-00869524

F. Charriere, A. Marian, F. Montfort, J. Kuehn, T. Colomb et al., Cell refractive index tomography by digital holographic microscopy, Optics Letters, vol.31, issue.2, pp.178-180, 2006.
DOI : 10.1364/OL.31.000178

O. Haeberlé, K. Belkebir, H. Giovaninni, and A. Sentenac, Tomographic diffractive microscopy: basics, techniques and perspectives, Journal of Modern Optics, vol.92, issue.9, pp.686-699, 2010.
DOI : 10.1126/science.1127344

M. Debailleul, B. Simon, V. Georges, O. Haeberlé, and V. Lauer, Holographic microscopy and diffractive microtomography of transparent samples, Measurement Science and Technology, vol.19, issue.7, p.74009, 2008.
DOI : 10.1088/0957-0233/19/7/074009

URL : https://hal.archives-ouvertes.fr/hal-00869405

J. H. Bruning, D. R. Herriott, J. E. Gallagher, D. P. Rosenfeld, A. D. White et al., Digital Wavefront Measuring Interferometer for Testing Optical Surfaces and Lenses, Digital Wavefront Measuring Interferometer for Testing Optical Surfaces and Lenses, pp.2693-2703, 1974.
DOI : 10.1364/AO.13.002693

I. Yamaguchi and T. Zhang, Phase-shifting digital holography, Optics Letters, vol.22, issue.16, pp.1268-1270, 1997.
DOI : 10.1364/OL.22.001268

U. Schnars and W. Jüptner, Direct recording of holograms by a CCD target and numerical reconstruction, Applied Optics, vol.33, issue.2, pp.179-181, 1994.
DOI : 10.1364/AO.33.000179

E. Cuche, F. Bevilacqua, and C. Depeursinge, Digital holography for quantitative phase-contrast imaging, Optics Letters, vol.24, issue.5, pp.291-293, 1999.
DOI : 10.1364/OL.24.000291

A. Barty, K. A. Nugent, D. Paganin, and A. Roberts, Quantitative optical phase microscopy, Optics Letters, vol.23, issue.11, pp.817-819, 1998.
DOI : 10.1364/OL.23.000817

J. Primot and L. Sogno, Achromatic three-wave (or more) lateral shearing interferometer, Journal of the Optical Society of America A, vol.12, issue.12, pp.2679-2685, 1995.
DOI : 10.1364/JOSAA.12.002679

P. Bon, G. Maucort, B. Wattellier, and S. Monneret, Quadriwave lateral shearing interferometry for quantitative phase microscopy of living cells, Optics Express, vol.17, issue.15, pp.80-13094, 2009.
DOI : 10.1364/OE.17.013080.m002

URL : https://hal.archives-ouvertes.fr/hal-00424664

S. S. Kou and C. J. Sheppard, Image formation in holographic tomography, Optics Letters, vol.33, issue.20, pp.168-175, 2009.
DOI : 10.1364/OL.33.002362

S. S. Kou and C. J. Sheppard, Image formation in holographic tomography, Optics Letters, vol.33, issue.20, pp.2362-2364, 2008.
DOI : 10.1364/OL.33.002362

Y. Sung, W. Choi, C. Fang-yen, K. Badizadegan, R. R. Dasari et al., Optical diffraction tomography for high resolution live cell imaging, Optics Express, vol.17, issue.1, pp.266-277, 2009.
DOI : 10.1364/OE.17.000266

P. Mora, Inversion = migration + tomography, GEOPHYSICS, vol.54, issue.12, pp.1575-1586, 1989.
DOI : 10.1190/1.1442625

T. Hutt and F. Simonetti, Reconstructing the shape of an object from its mirror image, Journal of Applied Physics, vol.108, issue.6, p.909, 2010.
DOI : 10.1063/1.3468669

C. Nolan, M. Cheney, T. Dowling, and R. Gaburro, Enhanced angular resolution from multiply scattered waves, Inverse Problems, vol.22, issue.5, pp.1817-1834, 2006.
DOI : 10.1088/0266-5611/22/5/017

F. Natterer, Reflectors in wave equation imaging, Wave Motion, vol.45, issue.6, pp.776-784, 2008.
DOI : 10.1016/j.wavemoti.2008.01.001

J. Greffet, Scattering of s-polarized electromagnetic waves by a 2d obstacle near an interface, Optics Communications, vol.72, issue.5, pp.274-278, 1989.
DOI : 10.1016/0030-4018(89)90184-3

F. Pincemin, A. Sentenac, and J. Greffet, Near field scattered by a dielectric rod below a metallic surface, Journal of the Optical Society of America A, vol.11, issue.3, pp.1117-1127, 1994.
DOI : 10.1364/JOSAA.11.001117

J. Greffet and R. Carminati, Image formation in near-field optics, Progress in Surface Science, vol.56, issue.3, pp.133-237, 1997.
DOI : 10.1016/S0079-6816(98)00004-5

G. Leuchs and M. Sondermann, Time-reversal symmetry in optics*, Physica Scripta, vol.85, issue.5, p.101, 2012.
DOI : 10.1088/0031-8949/85/05/058101

M. Martinez-corral and G. Saavedra, The Resolution Challenge in 3D Optical Microscopy, Progress in Optics, E. Wolf, pp.1-67, 2009.

A. S. Van-de-nes, J. J. Braat, and S. F. Pereira, High-density optical data storage, Rep. Prog. Phys, vol.69, issue.8, p.2323, 2006.

E. Walker, A. Dvornikov, K. Coblentz, S. Esener, and P. Rentzepis, Toward terabyte two-photon 3D disk, Optics Express, vol.15, issue.19, pp.264-12276, 2007.
DOI : 10.1364/OE.15.012264

URL : http://escholarship.org/uc/item/22x1z1m0.pdf

P. C. Chaumet, B. Pouligny, R. Dimova, and N. Sojic, Optical tweezers in interaction with an apertureless probe, Journal of Applied Physics, vol.102, issue.2, pp.915-923, 2007.
DOI : 10.1063/1.2759892

URL : https://hal.archives-ouvertes.fr/hal-00457454

C. Selhuber-unkel, I. Zins, O. Schubert, C. Sönnichsen, and L. B. Oddershede, Quantitative Optical Trapping of Single Gold Nanorods, Nano Letters, vol.8, issue.9, pp.2998-3003, 2008.
DOI : 10.1021/nl802053h

M. Dienerowitz, M. Mazilu, and K. Dholakia, Optical manipulation of nanoparticles: a review, Journal of Nanophotonics, vol.2, issue.1, pp.875-907, 2008.
DOI : 10.1117/1.2992045

M. Martinez-corral, P. Andrés, C. J. Zapata-rodriguez, and M. Kowalczyk, Threedimensional superresolution by annular binary filters, Opt. Comm, vol.165, pp.4-6, 1999.

M. Martinez-corral, M. Caballero, E. H. Stelzer, and J. Swoger, Tailoring the axial shape of the point spread function using the Toraldo concept, Optics Express, vol.10, issue.1, pp.98-103, 2002.
DOI : 10.1364/OE.10.000098

G. Boyer, New class of axially apodizing filters for confocal scanning microscopy, Journal of the Optical Society of America A, vol.19, issue.3, pp.584-589, 2002.
DOI : 10.1364/JOSAA.19.000584

M. Martinez-corral, C. Ibáñez-lópez, G. Saavedra, and M. Caballero, Axial gain resolution in optical sectioning fluorescence microscopy by shaded-ring filters, Optics Express, vol.11, issue.15, pp.1740-1745, 2003.
DOI : 10.1364/OE.11.001740

N. Lindlein, S. Quabis, U. Peschel, and G. Leuchs, High numerical aperture imaging with different polarization patterns, Optics Express, vol.15, issue.9, pp.5827-5842, 2007.
DOI : 10.1364/OE.15.005827

W. Chen and Q. Zhan, Diffraction limited focusing with controllable arbitrary threedimensional polarization, J. Opt, vol.12, issue.045, p.707, 2010.

B. Davis, W. Karl, A. Swan, M. Unlu, and B. Goldberg, Capabilities and limitations of pupil-plane filters for superresolution and image enhancement, Optics Express, vol.12, issue.17, pp.4150-4156, 2004.
DOI : 10.1364/OPEX.12.004150

L. Melton, Imaging: The big picture, Nature, vol.437, issue.7059, pp.775-779, 2005.
DOI : 10.1038/436018a

S. W. Hell, Microscopy and its focal switch, Nature Methods, vol.5, issue.1, pp.24-32, 2009.
DOI : 10.1038/nmeth.1291

M. Nagorni and S. W. Hell, Coherent use of opposing lenses for axial resolution increase in fluorescence microscopy I Comparative study of concepts, Journal of the Optical Society of America A, vol.18, issue.1, pp.36-48, 2001.
DOI : 10.1364/JOSAA.18.000036

J. Bewersdorf, R. Schmidt, and S. W. Hell, Comparison of I5M and 4Pi-microscopy, Journal of Microscopy, vol.253, issue.2, p.105, 2006.
DOI : 10.1046/j.1365-2818.1996.00104.x

C. J. Sheppard and K. G. Larkin, Effect of numerical aperture on interference fringe spacing, Applied Optics, vol.34, issue.22, pp.4731-4734, 1995.
DOI : 10.1364/AO.34.004731

C. Sheppard and P. Torok, Electromagnetic field in the focal region of an electric dipole wave, Optik, vol.104, issue.4, pp.175-177, 1997.

M. Schrader, M. Kozubek, S. W. Hell, and T. Wilson, Optical transfer functions of 4Pi confocal microscopes:???theory and experiment, Optics Letters, vol.22, issue.7, pp.436-438, 1997.
DOI : 10.1364/OL.22.000436

H. Matthews, D. Hamilton, and C. Sheppard, Aberration Measurement by Confocal Interferometry, Journal of Modern Optics, vol.32, issue.2, pp.233-250, 1989.
DOI : 10.1364/JOSAA.4.001354

M. Lang, T. Müller, J. Engelhardt, and S. W. Hell, 4Pi microscopy of type A with 1-photon excitation in biological fluorescence imaging, Optics Express, vol.15, issue.5, pp.2459-2467, 2007.
DOI : 10.1364/OE.15.002459

A. Sentenac, K. Belkebir, H. Giovannini, and P. C. Chaumet, Subdiffraction resolution in total internal reflection fluorescence microscopy with a grating substrate, Optics Letters, vol.33, issue.3, pp.255-257, 2008.
DOI : 10.1364/OL.33.000255

URL : https://hal.archives-ouvertes.fr/hal-00442438

J. García, Z. Zalevsky, and D. Fixler, Synthetic aperture superresolution by speckle pattern projection, Optics Express, vol.13, issue.16, pp.6073-6078, 2005.
DOI : 10.1364/OPEX.13.006073.m002

D. Sylman, V. Micó, J. García, and Z. Zalevsky, Random angular coding for superresolved imaging, Applied Optics, vol.49, issue.26, pp.4874-4882, 2010.
DOI : 10.1364/AO.49.004874

R. Heintzmann and M. G. Gustafsson, Subdiffraction resolution in continuous samples, Nature Photonics, vol.94, issue.7, pp.362-364, 2009.
DOI : 10.1038/nphoton.2009.102

P. Kner, B. B. Chhun, E. R. Griffis, L. Winoto, and M. G. Gustafsson, Super-resolution video microscopy of live cells by structured illumination, Nature Methods, vol.167, issue.5, pp.339-342, 2009.
DOI : 10.1038/nmeth.1324

C. Bouman and K. Sauer, A unified approach to statistical tomography using coordinate descent optimization, IEEE Transactions on Image Processing, vol.5, issue.3, pp.480-492, 1996.
DOI : 10.1109/83.491321

M. Allain and J. Roques, Imaging techniques for gamma-ray diffuse emission: application to INTEGRAL/SPI, Astronomy and Astrophysics, vol.447, issue.3, pp.1175-1187, 2006.
DOI : 10.1051/0004-6361:20042513

URL : https://hal.archives-ouvertes.fr/hal-00457476

E. Polak and G. Ribì-ere, Note sur la convergence de m??thodes de directions conjugu??es, Revue fran??aise d'informatique et de recherche op??rationnelle. S??rie rouge, vol.3, issue.16, pp.35-43, 1969.
DOI : 10.1051/m2an/196903R100351

M. Bertero and P. Boccacci, A simple method for the reduction of boundary effects in the Richardson-Lucy approach to image deconvolution, Astronomy and Astrophysics, vol.437, issue.1, pp.369-374, 2005.
DOI : 10.1051/0004-6361:20052717

R. Vio, J. Bardsley, M. Donatelli, and W. Wamsteker, Dealing with edge effects in least-squares image deconvolution problems, Astronomy and Astrophysics, vol.442, issue.1, pp.397-403, 2005.
DOI : 10.1051/0004-6361:20053414

A. Tikhonov and V. Arsénine, Méthodes de résolution deprobì emes mal posés (Edition Mir, 1974.

P. Hansen, Rank-deficient and Discrete Ill-posed Problems: Numerical Aspects of Linear Inversion, 1998.
DOI : 10.1137/1.9780898719697

G. H. Golub, M. Heath, and G. Wahba, Generalized Cross-Validation as a Method for Choosing a Good Ridge Parameter, Technometrics, vol.5, issue.2, pp.215-223, 1979.
DOI : 10.1080/03610927508827223

M. Bertero and P. Boccacci, Introduction to inverse problems in imaging (Institute of Physics Pub, 1998.

J. W. Goodman, Speckle Phenomena in Optics: Theory and Applications, 2007.

O. Mandula, Patterned Excitation Microscopy Master's thesis, King's College London, 2008.

K. Wicker, Increasing resolution and light efficiency in fluorescence microscopy, 2010.

A. Sentenac, K. Belkebir, H. Giovannini, and P. C. Chaumet, High-resolution total-internal-reflection fluorescence microscopy using periodically nanostructured glass slides, Journal of the Optical Society of America A, vol.26, issue.12, pp.2550-2557, 2009.
DOI : 10.1364/JOSAA.26.002550

URL : https://hal.archives-ouvertes.fr/hal-00438700

J. B. Pawley, Handbook Of Biological Confocal Microscopy, 2006.

T. Q. Pham, M. Bezuijen, L. J. Van-vliet, K. Schutte, and C. L. Hendriks, Performance of optimal registration estimators, Visual Information Processing XIV, p.133, 2005.
DOI : 10.1117/12.603304

C. Ventalon and J. Mertz, Quasi-confocal fluorescence sectioning with dynamic speckle illumination, Optics Letters, vol.30, issue.24, pp.3350-3352, 2005.
DOI : 10.1364/OL.30.003350

J. Turunen, A. Vasara, and A. T. Friberg, Propagation invariance and self-imaging in variable-coherence optics, Journal of the Optical Society of America A, vol.8, issue.2, pp.282-289, 1991.
DOI : 10.1364/JOSAA.8.000282

D. M. Cottrell, J. M. Craven, and J. A. Davis, Nondiffracting random intensity patterns, Optics Letters, vol.32, issue.3, pp.298-300, 2007.
DOI : 10.1364/OL.32.000298

A. Dudley, R. Vasilyeu, V. Belyi, N. Khilo, P. Ropot et al., Controlling the evolution of nondiffracting speckle by complex amplitude modulation on a phase-only spatial light modulator, Optics Communications, vol.285, issue.1, pp.5-12, 2012.
DOI : 10.1016/j.optcom.2011.09.004

R. Heintzmann, T. M. Jovin, and C. Cremer, Saturated patterned excitation microscopy???a concept for optical resolution improvement, Journal of the Optical Society of America A, vol.19, issue.8, pp.1599-1609, 2002.
DOI : 10.1364/JOSAA.19.001599

M. Gustafsson, Nonlinear structured-illumination microscopy: Wide-field fluorescence imaging with theoretically unlimited resolution, Proceedings of the National Academy of Sciences, vol.102, issue.37, pp.81-13086, 2005.
DOI : 10.1073/pnas.0406877102

L. Hirvonen, O. Mandula, K. Wicker, and R. Heintzmann, Structured illumination microscopy using photoswitchable fluorescent proteins, " in Three-Dimensional and Multidimensional Microscopy: Image Acquisition and Processing XV, p.68610, 2008.

D. Toomre and D. J. Manstein, Lighting up the cell surface with evanescent wave microscopy, Trends in Cell Biology, vol.11, issue.7, pp.298-303, 2001.
DOI : 10.1016/S0962-8924(01)02027-X

E. Chung, D. Kim, and P. So, Extended resolution wide-field optical imaging: objective-launched standing-wave total internal reflection fluorescence microscopy, Optics Letters, vol.31, issue.7, pp.945-947, 2006.
DOI : 10.1364/OL.31.000945

A. Fehrembach, Réseaux résonnantsrésonnants`résonnantsà bande interdite photonique: nouveaux filtres pour le DWDM, 2003.

J. Girard, Microscopie de fluorescence et de diffraction super-résolues paréclairementpar´paréclairement multiple, 2011.

J. R. Fienup, Reconstruction of an object from the modulus of its Fourier transform, Optics Letters, vol.3, issue.1, pp.27-29, 1978.
DOI : 10.1364/OL.3.000027

C. Guérin and A. Sentenac, Second-order perturbation theory for scattering from heterogeneous rough surfaces, Journal of the Optical Society of America A, vol.21, issue.7, pp.1251-1260, 2004.
DOI : 10.1364/JOSAA.21.001251

G. Maire, F. Drsek, J. Girard, H. Giovannini, A. Talneau et al., Experimental Demonstration of Quantitative Imaging beyond Abbe???s Limit with Optical Diffraction Tomography, Physical Review Letters, vol.102, issue.21, p.905, 2009.
DOI : 10.1103/PhysRevLett.102.213905

J. Girard, G. Maire, H. Giovannini, A. Talneau, K. Belkebir et al., Nanometric resolution using far-field optical tomographic microscopy in the multiple scattering regime, Physical Review A, vol.82, issue.6, p.61801, 2010.
DOI : 10.1103/PhysRevA.82.061801

URL : https://hal.archives-ouvertes.fr/hal-00942796

]. A. Dubois, ´ Etude de l'interaction d'une ondé electromagnétique avec une structure matérielle en régime temporel:probì emes directs et inverses, 2005.

E. M. Purcell and C. R. Pennypacker, Scattering and Absorption of Light by Nonspherical Dielectric Grains, The Astrophysical Journal, vol.186, pp.705-714, 1973.
DOI : 10.1086/152538

M. A. Yurkin, V. P. Maltsev, and A. G. Hoekstra, Convergence of the discrete dipole approximation I Theoretical analysis, Journal of the Optical Society of America A, vol.23, issue.10, pp.2578-2591, 2006.
DOI : 10.1364/JOSAA.23.002578

P. C. Chaumet, ModélisationModélisation´Modélisationélectromagnétique: ApplicationsàApplications`Applicationsà l'imagerie optique et aux forces optiques Mémoire d'habilitation, Université d, 2007.

P. C. Chaumet, A. Sentenac, and A. Rahmani, Coupled dipole method for scatterers with large permittivity, Physical Review E, vol.70, issue.3, pp.606-612, 2004.
DOI : 10.1103/PhysRevE.70.036606

URL : https://hal.archives-ouvertes.fr/hal-00085010

J. Tang, Y. Shen, Y. Zheng, and D. Qiu, An efficient and flexible computational model for solving the mild slope equation, Coastal Engineering, vol.51, issue.2, pp.143-154, 2004.
DOI : 10.1016/j.coastaleng.2003.12.005

S. Zhang, GPBi-CG: Generalized Product-type Methods Based on Bi-CG for Solving Nonsymmetric Linear Systems, SIAM Journal on Scientific Computing, vol.18, issue.2, pp.537-551, 1997.
DOI : 10.1137/S1064827592236313

P. C. Chaumet and K. Belkebir, Three-dimensional reconstruction from real data using a conjugate gradient-coupled dipole method, Inverse Problems, vol.25, issue.2, pp.3-17, 2009.
DOI : 10.1088/0266-5611/25/2/024003

URL : https://hal.archives-ouvertes.fr/hal-00457227

C. Gilmore, P. Mojabi, and J. Lovetri, Comparison of an Enhanced Distorted Born Iterative Method and the Multiplicative-Regularized Contrast Source Inversion method, IEEE Transactions on Antennas and Propagation, vol.57, issue.8, pp.2341-2351, 2009.
DOI : 10.1109/TAP.2009.2024478

L. Pan, X. Chen, Y. Zhong, and S. P. Yeo, Comparison among the variants of subspace-based optimization method for addressing inverse scattering problems: transverse electric case, Journal of the Optical Society of America A, vol.27, issue.10, pp.2208-2215, 2010.
DOI : 10.1364/JOSAA.27.002208

R. E. Kleinman, P. M. Van-den, and . Berg, A modified gradient method for two- dimensional problems in tomography, Journal of Computational and Applied Mathematics, vol.42, issue.1, pp.17-35, 1992.
DOI : 10.1016/0377-0427(92)90160-Y

R. E. Kleinman, P. M. Van-den, and . Berg, Two-dimensional location and shape reconstruction, Radio Science, vol.29, issue.4, pp.1157-1169, 1994.
DOI : 10.1029/93RS03445

A. Dubois, K. Belkebir, and M. Saillard, Retrieval of inhomogeneous targets from experimental frequency diversity data, Inverse Problems, vol.21, issue.6, pp.65-79, 2005.
DOI : 10.1088/0266-5611/21/6/S06

URL : https://hal.archives-ouvertes.fr/hal-00103782

T. M. Habashy, M. L. Oristaglio, and A. T. De-hoop, Simultaneous nonlinear reconstruction of two-dimensional permittivity and conductivity, Radio Science, vol.29, issue.4, pp.1101-1118, 1994.
DOI : 10.1029/93RS03448

P. C. Chaumet, A. Sentenac, K. Belkebir, G. Maire, and H. Giovannini, Improving the resolution of grating-assisted optical diffraction tomography using a priori information in the reconstruction procedure, Journal of Modern Optics, vol.110, issue.9, pp.798-808, 2010.
DOI : 10.1364/JOSAA.20.001223

URL : https://hal.archives-ouvertes.fr/hal-00484561

K. Belkebir, S. Bonnard, F. Pezin, P. Sabouroux, and M. Saillard, Validation of 2d iNverse Scattering Algorithms From Multi-Frequency Experimental Data, Journal of Electromagnetic Waves and Applications, vol.62, issue.1, pp.1637-1667, 2000.
DOI : 10.1163/156939300X00437

URL : https://hal.archives-ouvertes.fr/hal-00083479

P. C. Chaumet, K. Belkebir, and A. Sentenac, Experimental microwave imaging of three-dimensional targets with different inversion procedures, Journal of Applied Physics, vol.106, issue.3, pp.901-909, 2009.
DOI : 10.1063/1.3183939

URL : https://hal.archives-ouvertes.fr/hal-00438701

A. Litman and L. Crocco, Testing inversion algorithms against experimental data: 3D targets, Inverse Problems, vol.25, issue.2, pp.201-206, 2009.
DOI : 10.1088/0266-5611/25/2/020201

J. M. Geffrin and P. Sabouroux, Continuing with the Fresnel database: experimental setup and improvements in 3D scattering measurements, Inverse Problems, vol.25, issue.2, p.24001, 2009.
DOI : 10.1088/0266-5611/25/2/024001

URL : https://hal.archives-ouvertes.fr/hal-00367473

P. M. Van-den, A. Berg, and . Abubakar, Contrast Source Inversion Method: State of Art, Progress In Electromagnetics Research, vol.34, pp.189-218, 2001.
DOI : 10.2528/PIER01061103

A. Sentenac, P. C. Chaumet, and K. Belkebir, Beyond the Rayleigh Criterion: Grating Assisted Far-Field Optical Diffraction Tomography, Physical Review Letters, vol.97, issue.24, p.901, 2006.
DOI : 10.1103/PhysRevLett.97.243901

URL : https://hal.archives-ouvertes.fr/hal-00122108

E. G. Van-putten, D. Akbulut, J. Bertolotti, W. L. Vos, A. Lagendijk et al., Scattering Lens Resolves Sub-100??nm Structures with Visible Light, Physical Review Letters, vol.106, issue.19, p.905, 2011.
DOI : 10.1103/PhysRevLett.106.193905