. , Singular value decomposition of the Time-Resolved Transmission Matrix

. .. , 111 Singular value decomposition of a transmission matrix, p.111

.. .. Marcenko-pastur-law,

. , Analysis of the singular value decomposition of a time-gated transmission matrix

. , Propagating singular vectors of a time-gated transmission matrix through the scattering medium

. , At a time ? 1 where time-of-flight distribution gets close to its maximum value

. .. Summary,

. .. Scattering-medium, 149 Experimental protocol to compare two-photon signal between the different transmission matrices, p.149

. , Analysis of the comparison

. .. Scattering-medium, 153 6.4.2 Results of point-scanning imaging with a time-gated transmission matrix

, Resolution of this point-scanning imaging technique, p.156

. .. Summary and . Aguiar, Polarization recovery through scattering media, Science Advances, vol.3, issue.9, p.1600743, 2017.

. Akbulut, Focusing light through random photonic media by binary amplitude modulation, Optics Express, vol.19, issue.5, pp.4017-4029, 2011.

. Akbulut, Optical transmission matrix as a probe of the photonic strength, Physical Review A, vol.94, issue.4, p.43817, 2016.

. Akemann, Fast spatial beam shaping by acousto-optic diffraction for 3d non-linear microscopy, Optics Express, vol.23, issue.22, pp.28191-28205, 2015.

M. Akkermans, E. Akkermans, and G. Montambaux, Mesoscopic Physics of Electrons and Photons, 2007.

. Akkermans, Coherent Backscattering of Light by Disordered Media: Analysis of the Peak Line Shape, Physical Review Letters, vol.56, issue.14, pp.1471-1474, 1986.

. Ambichl, Focusing inside Disordered Media with the Generalized Wigner-Smith Operator, Physical Review Letters, vol.119, issue.3, p.33903, 2017.

P. W. Anderson-;-anderson, Absence of Diffusion in Certain Random Lattices, Physical Review, vol.109, issue.5, pp.1492-1505, 1958.

D. Andreoli, Contrôle spatio-temporel multi-spectral de la lumière en milieux complexes. phdthesis, 2014.

[. Andreoli, Deterministic control of broadband light through a multiply scattering medium via the multispectral transmission matrix, Scientific Reports, vol.5, p.10347, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01223433

. Arrizón, Pixelated phase computer holograms for the accurate encoding of scalar complex fields, Journal of the Optical Society of America A, vol.24, issue.11, p.3500, 2007.

A. , D. Aubry, A. Derode, and A. , Random Matrix Theory Applied to Acoustic Backscattering and Imaging In Complex Media, Physical Review Letters, vol.102, issue.8, p.84301, 2009.

A. , D. Aubry, A. Derode, and A. , Singular value distribution of the propagation matrix in random scattering media, Waves in Random and Complex Media, vol.20, issue.3, pp.333-363, 2010.

. Aulbach, Optimal spatiotemporal focusing through complex scattering media, Physical Review E, vol.85, issue.1, p.16605, 2012.

. Aulbach, Spatiotemporal focusing in opaque scattering media by wave front shaping with nonlinear feedback, Optics Express, vol.20, issue.28, pp.29237-29251, 2012.

. Aulbach, Control of Light Transmission through Opaque Scattering Media in Space and Time, Physical Review Letters, vol.106, issue.10, p.103901, 2011.

A. , Adaptive optics wide-field microscopy using direct wavefront sensing, Optics Letters, vol.36, issue.6, pp.825-827, 2011.

H. W. Babcock, The possibility of compensating astronomical seeing, Publications of the Astronomical Society of the Pacific, vol.65, issue.386, pp.229-236, 1953.

[. Bacot, Time reversal and holography with spacetime transformations, Nature Physics, vol.12, issue.10, pp.972-977, 2016.

. Badon, Smart optical coherence tomography for ultra-deep imaging through highly scattering media, Science Advances, vol.2, issue.11, p.1600370, 2016.

C. W. Beenakker, Random-matrix theory of quantum transport, Reviews of Modern Physics, vol.69, issue.3, pp.731-808, 1997.

R. Berkovits and S. Feng, Correlations in coherent multiple scattering, Berkovits and Feng, vol.238, issue.3, pp.135-172, 1994.

[. Bertolotti, Non-invasive imaging through opaque scattering layers, Nature, vol.491, issue.7423, pp.232-234, 2012.

. Betzig, Imaging Intracellular Fluorescent Proteins at Nanometer Resolution, Science, vol.313, issue.5793, pp.1642-1645, 2006.

S. ;. Bifano, T. G. Bifano, and J. B. Stewart, High-speed wavefront control using MEMS micromirrors, vol.5895, pp.58950-58950, 2005.

[. Blochet, Focusing light through dynamical samples using fast closed-loop wavefront optimization, 2017.

[. Boniface, Transmission-matrix-based point-spread-function engineering through a complex medium, Optica, vol.4, issue.1, pp.54-59, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01490463

M. J. Booth, Adaptive optical microscopy: the ongoing quest for a perfect image, Light: Science & Applications, vol.3, issue.4, p.165, 2014.

M. Born and E. Wolf, Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light, 2013.

[. Bosch, Frequency width of open channels in multiple scattering media, Optics Express, vol.24, issue.23, pp.26472-26478, 2016.

R. W. Boyd, Nonlinear Optics, Third Edition, 2008.

[. Bridges, Coherent Optical Adaptive Techniques, vol.13, pp.291-300, 1974.
DOI : 10.1109/jqe.1973.1077678

[. Burke, Adaptive optics correction of specimen-induced aberrations in single-molecule switching microscopy, Optica, vol.2, issue.2, pp.177-185, 2015.

[. Carpenter, 110x110 optical mode transfer matrix inversion, Optics Express, vol.22, issue.1, p.96, 2014.

[. Carpenter, Observation of Eisenbud-Wigner-Smith states as principal modes in multimode fibre, Nature Photonics, vol.9, issue.11, pp.751-757, 2015.

[. Carpenter, Complete spatiotemporal characterization and optical transfer matrix inversion of a 420 mode fiber, Optics Letters, vol.41, issue.23, pp.5580-5583, 2016.

[. Cazé, Near-field interactions and nonuniversality in speckle patterns produced by a point source in a disordered medium, Physical Review A, vol.82, issue.4, p.43823, 2010.

[. Chaigne, Super-resolution photoacoustic fluctuation imaging with multiple speckle illumination, Optica, vol.3, issue.1, pp.54-57, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01634450

[. Chaigne, Controlling light in scattering media non-invasively using the photoacoustic transmission matrix, Nature Photonics, vol.8, issue.1, pp.58-64, 2014.

S. Chandrasekhar, Radiative Transfer. Courier Corporation, 2013.

[. Cheong, A review of the optical properties of biological tissues, IEEE Journal of Quantum Electronics, vol.26, issue.12, pp.2166-2185, 1990.

[. Choi, Control of randomly scattered surface plasmon polaritons for multiple-input and multiple-output plasmonic switching devices, Nature Communications, vol.8, p.14636, 2017.

[. Choi, Transmission eigenchannels in a disordered medium, Physical Review B, vol.83, issue.13, p.134207, 2011.

[. Bibliography and . Choi, Measurement of the Time-Resolved Reflection Matrix for Enhancing Light Energy Delivery into a Scattering Medium, Physical Review Letters, vol.111, issue.24, p.243901, 2013.

[. Choi, Overcoming the Diffraction Limit Using Multiple Light Scattering in a Highly Disordered Medium, Physical Review Letters, vol.107, issue.2, p.23902, 2011.

[. Choi, Scanner-Free and Wide-Field Endoscopic Imaging by Using a Single Multimode Optical Fiber, Physical Review Letters, vol.109, issue.20, p.203901, 2012.

D. ?i?már, T. ?i?már, and K. Dholakia, Shaping the light transmission through a multimode optical fibre: complex transformation analysis and applications in biophotonics, Optics Express, vol.19, issue.20, pp.18871-18884, 2011.

D. ?i?már, T. ?i?már, and K. Dholakia, Exploiting multimode waveguides for pure fibre-based imaging, Nature Communications, vol.3, p.1027, 2012.

[. ?i?már, In situ wavefront correction and its application to micromanipulation, Nature Photonics, vol.4, issue.6, pp.388-394, 2010.

[. Clark, Comparison of beam generation techniques using a phase only spatial light modulator, Optics Express, vol.24, issue.6, pp.6249-6264, 2016.

[. Conkey, Genetic algorithm optimization for focusing through turbid media in noisy environments, Optics Express, vol.20, issue.5, pp.4840-4849, 2012.

[. Conkey, High-speed scattering medium characterization with application to focusing light through turbid media, Optics Express, vol.20, issue.2, pp.1733-1740, 2012.

[. Conkey, Three-dimensional parallel particle manipulation and tracking by integrating holographic optical tweezers and engineered point spread functions, Optics Express, vol.19, issue.5, p.3835, 2011.

[. Cruz, Use of coherent control methods through scattering biological tissue to achieve functional imaging, Proceedings of the National Academy of Sciences of the United States of America, vol.101, issue.49, pp.16996-17001, 2004.

[. Cuche, Simultaneous amplitude-contrast and quantitative phase-contrast microscopy by numerical reconstruction of Fresnel off-axis holograms, Applied Optics, vol.38, issue.34, pp.6994-7001, 1999.

Y. Cui, M. Cui, and C. Yang, Implementation of a digital optical phase conjugation system and its application to study the robustness of turbidity suppression by phase conjugation, Optics Express, vol.18, issue.4, pp.3444-3455, 2010.

[. Curry, Direct determination of diffusion properties of random media from speckle contrast, Optics Letters, vol.36, issue.17, p.3332, 2011.

L. Dantus, M. Dantus, and V. V. Lozovoy, Experimental Coherent Laser Control of Physicochemical Processes, Chemical Reviews, vol.104, issue.4, pp.1813-1860, 2004.
DOI : 10.1021/cr020668r

. Das, Ultrafast timegated imaging in thick tissues: a step toward optical mammography, Optics Letters, vol.18, issue.13, pp.1092-1094, 1993.
DOI : 10.1364/ol.18.001092

[. Davy, Transmission Eigenchannels and the Densities of States of Random Media, Physical Review Letters, vol.114, issue.3, p.33901, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01119655

. De-aguiar, Enhanced nonlinear imaging through scattering media using transmission-matrix-based wavefront shaping, Physical Review A, vol.94, issue.4, p.43830, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01400272

[. Débarre, Image-based adaptive optics for two-photon microscopy, Optics Letters, vol.34, issue.16, pp.2495-2497, 2009.

[. Defienne, Nonclassical light manipulation in a multiplescattering medium, Optics Letters, vol.39, issue.21, pp.6090-6093, 2014.
DOI : 10.1364/ol.39.006090
URL : https://hal.archives-ouvertes.fr/hal-01122759

[. Defienne, Two-photon quantum walk in a multimode fiber, Science Advances, vol.2, issue.1, p.1501054, 2016.
DOI : 10.1126/sciadv.1501054
URL : http://advances.sciencemag.org/content/advances/2/1/e1501054.full.pdf

. Del-hougne, , 2016.

, Spatiotemporal Wave Front Shaping in a Microwave Cavity, Physical Review Letters, vol.117, issue.13, p.134302

[. Demaria, Self modelocking of lasers with saturable absorbers, Applied Physics Letters, vol.8, issue.7, pp.174-176, 1966.

[. Derode, Robust Acoustic Time Reversal with High-Order Multiple Scattering, Physical Review Letters, vol.75, issue.23, pp.4206-4209, 1995.

[. Dickson, On/off blinking and switching behaviour of single molecules of green fluorescent protein, Nature, vol.388, issue.6640, pp.355-358, 1997.

R. ;. Diels, J. Diels, and W. Rudolph, Ultrashort Laser Pulse Phenomena: Fundamentals, Techniques, and Applications on a Femtosecond Time Scale, 2006.

O. N. Dorokhov, On the coexistence of localized and extended electronic states in the metallic phase, Solid State Communications, vol.51, issue.6, pp.381-384, 1984.

[. Drémeau, Reference-less measurement of the Bibliography transmission matrix of a highly scattering material using a DMD and phase retrieval techniques, Optics Express, vol.23, issue.9, pp.11898-11911, 2015.

. Dubois, Ultrahigh-resolution full-field optical coherence tomography, Applied Optics, vol.43, issue.14, pp.2874-2883, 2004.
URL : https://hal.archives-ouvertes.fr/hal-00533151

[. Dudley, Measurement of Ultrashort Electromagnetic Pulses, JOSA B, vol.25, issue.6, pp.1-2, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00337459

[. Dupré, Wave-Field Shaping in Cavities: Waves Trapped in a Box with Controllable Boundaries, vol.115, p.17701, 2015.

. Fan, S. Kahn-;-fan, and J. M. Kahn, Principal modes in multimode waveguides, Optics Letters, vol.30, issue.2, p.135, 2005.

[. Fayard, Intensity correlations between reflected and transmitted speckle patterns, Physical Review A, vol.92, issue.3, p.33827, 2015.

. Feng, Correlations and Fluctuations of Coherent Wave Transmission through Disordered Media, Physical Review Letters, vol.61, issue.7, pp.834-837, 1988.

[. Fetterman, Ultrafast pulse shaping: amplification and characterization, Optics Express, vol.3, issue.10, p.366, 1998.

[. Fickler, Customtailored spatial mode sorting by controlled random scattering, Physical Review B, vol.95, issue.16, p.161108, 2017.

M. Fink and M. Fink, Imaging: Sharper focus by random scattering, Nature Photonics, vol.50, issue.3, pp.269-271, 1997.

L. ;. Fisher, D. S. Fisher, and P. A. Lee, Relation between conductivity and transmission matrix, Physical Review B, vol.23, issue.12, pp.6851-6854, 1981.

R. A. Fisher and . Fork, Compression of optical pulses to six femtoseconds by using cubic phase compensation, Optics Letters, vol.12, issue.7, pp.483-485, 1987.

[. French, Speckle-based hyperspectral imaging combining multiple scattering and compressive sensing in nanowire mats, Optics Letters, vol.42, issue.9, pp.1820-1823, 2017.

I. Freund, Looking through walls and around corners, Physica A: Statistical Mechanics and its Applications, vol.168, issue.1, pp.49-65, 1990.

[. Freund, Memory Effects in Propagation of Optical Waves through Disordered Media, Physical Review Letters, vol.61, issue.20, pp.2328-2331, 1988.

[. Garcia, Measurement of the transport mean free path of diffusing photons, Physical Review B, vol.46, issue.22, pp.14475-14479, 1992.

A. Z. Genack, Optical Transmission in Disordered Media, Physical Review Letters, vol.58, issue.20, pp.2043-2046, 1987.

D. ;. Genack, A. Z. Genack, and J. M. Drake, Relationship between Optical Intensity, Fluctuations and Pulse Propagation in Random Media, Europhysics Letters), vol.11, issue.4, p.331, 1990.

[. Gérardin, Particlelike wave packets in complex scattering systems, Physical Review B, vol.94, issue.1, p.14209, 2016.

[. Gérardin, Full Transmission and Reflection of Waves Propagating through a Maze of Disorder, Physical Review Letters, vol.113, issue.17, p.173901, 2014.

[. Ghielmetti, G. Aegerter-;-ghielmetti, and C. M. Aegerter, Scattered light fluorescence microscopy in three dimensions, Optics Express, vol.20, issue.4, p.3744, 2012.

[. Gibson, Free-space information transfer using light beams carrying orbital angular momentum, Optics Express, vol.12, issue.22, pp.5448-5456, 2004.

S. Gigan, Optical microscopy aims deep, Nature Photonics, vol.11, issue.1, pp.14-16, 2017.

[. Gjonaj, Active spatial control of plasmonic fields, Nature Photonics, vol.5, issue.6, pp.360-363, 2011.

[. Gjonaj, Focusing and Scanning Microscopy with Propagating Surface Plasmons, Physical Review Letters, vol.110, issue.26, p.266804, 2013.

. Goetschy, A. Stone-;-goetschy, and A. D. Stone, Filtering Random Matrices: The Effect of Incomplete Channel Control in Multiple Scattering, Physical Review Letters, vol.111, issue.6, p.63901, 2013.

J. W. Goodman, Some fundamental properties of speckle*, JOSA, vol.66, issue.11, pp.1145-1150, 1976.

J. W. Goodman, Introduction to Fourier Optics, 2005.

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

[. Goorden, Superpixelbased spatial amplitude and phase modulation using a digital micromirror device, vol.22, pp.17999-18009, 2014.

. Bibliography-[guan, Polarization control of multiply scattered light through random media by wavefront shaping, Optics Letters, vol.37, issue.22, pp.4663-4665, 2012.

M. G. Gustafsson, Surpassing the lateral resolution limit by a factor of two using structured illumination microscopy, Journal of Microscopy, vol.198, issue.2, pp.82-87, 2000.

[. Harootunian, Super-resolution fluorescence near-field scanning optical microscopy, Applied Physics Letters, vol.49, issue.11, pp.674-676, 1986.

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.

. Helmchen, F. Denk-;-helmchen, and W. Denk, Deep tissue two-photon microscopy, Nature Methods, vol.2, issue.12, pp.932-940, 2005.

. Hillegas, Femtosecond laser pulse shaping by use of microsecond radiofrequency pulses, Optics Letters, vol.19, issue.10, p.737, 1994.

[. Hillman, Digital optical phase conjugation for delivering twodimensional images through turbid media, Scientific Reports, vol.3, 1909.

[. Hsieh, Digital phase conjugation of second harmonic radiation emitted by nanoparticles in turbid media, Optics Express, vol.18, issue.12, pp.12283-12290, 2010.

[. Hsu, Broadband Coherent Enhancement of Transmission and Absorption in Disordered Media, Physical Review Letters, vol.115, issue.22, p.223901, 2015.

[. Hsu, Correlation-enhanced control of wave focusing in disordered media, Nature Physics, 2017.

. Huang, Optical coherence tomography, Science, vol.254, issue.5035, pp.1178-1181, 1991.
URL : https://hal.archives-ouvertes.fr/tel-01957283

N. Hubin and L. Noethe, Active Optics, Adaptive Optics, and Laser Guide Stars, Science, vol.262, issue.5138, pp.1390-1394, 1993.

A. Ishimaru, Wave Propagation and Scattering in Random Media, 1999.

[. Jang, Relation between speckle decorrelation and optical phase conjugation (OPC)-based turbidity suppression through dynamic scattering media: a study on in vivo mouse skin, Biomedical Optics Express, vol.6, issue.1, pp.72-85, 2015.

[. Jang, Method for auto-alignment of digital optical phase conjugation systems based on digital propagation, Optics Express, vol.22, issue.12, pp.14054-14071, 2014.

[. Jang, Optical Phase Conjugation with Less Than a Photon per Degree of Freedom, Physical Review Letters, vol.118, issue.9, p.93902, 2017.

N. Ji, Adaptive optical fluorescence microscopy, Nature Methods, vol.14, issue.4, pp.374-380, 2017.

[. Ji, Characterization and adaptive optical correction of aberrations during in vivo imaging in the mouse cortex, Proceedings of the National Academy of Sciences, vol.109, issue.1, pp.22-27, 2012.

[. Johnson, Time-resolved pulse propagation in a strongly scattering material, Physical Review E, vol.68, issue.1, p.16604, 2003.

[. Judkewitz, Translation correlations in anisotropically scattering media, Nature Physics, vol.11, issue.8, pp.684-689, 2015.

[. Judkewitz, Speckle-scale focusing in the diffusive regime with time reversal of variance-encoded light (TROVE), Nature Photonics, vol.7, issue.4, pp.300-305, 2013.

[. Kang, Imaging deep within a scattering medium using collective accumulation of single-scattered waves, Nature Photonics, 2015.

[. Katz, Noninvasive single-shot imaging through scattering layers and around corners via speckle correlations, Nature Photonics, vol.8, issue.10, pp.784-790, 2014.

[. Katz, Focusing and compression of ultrashort pulses through scattering media, Nature Photonics, vol.5, issue.6, pp.372-377, 2011.

[. Katz, Noninvasive nonlinear focusing and imaging through strongly scattering turbid layers, Optica, vol.1, issue.3, pp.170-174, 2014.

[. Katz, Looking around corners and through thin turbid layers in real time with scattered incoherent light, Nature Photonics, vol.6, issue.8, pp.549-553, 2012.

[. Kim, Maximal energy transport through disordered media with the implementation of transmission eigenchannels, Nature Photonics, vol.6, issue.9, pp.581-585, 2012.

[. Kner, Super-resolution video microscopy of live cells by structured illumination, Nature Methods, vol.6, issue.5, pp.339-342, 2009.

[. Bibliography and . Konforti, Phase-only modulation with twisted nematic liquid-crystal spatial light modulators, Optics Letters, vol.13, issue.3, pp.251-253, 1988.

F. Krausz and M. Ivanov, Attosecond physics. Reviews of Modern Physics, vol.81, pp.163-234, 2009.

[. Lagendijk, Fifty years of Anderson localization, Physics Today, vol.62, issue.8, pp.24-29, 2009.

[. Lagendijk, A. Van-tiggelen-;-lagendijk, and B. A. Van-tiggelen, Resonant multiple scattering of light, Physics Reports, vol.270, issue.3, pp.143-215, 1996.

E. N. Leith and J. Upatnieks, Holographic Imagery Through Diffusing Media, vol.56, pp.523-523, 1966.

[. Lemoult, Manipulating Spatiotemporal Degrees of Freedom of Waves in Random Media, Physical Review Letters, vol.103, issue.17, p.173902, 2009.

L. Bianchi-;-leonardo, R. D. Bianchi, and S. , Hologram transmission through multi-mode optical fibers, Optics Express, vol.19, issue.1, pp.247-254, 2011.

[. Lepetit, Linear techniques of phase measurement by femtosecond spectral interferometry for applications in spectroscopy, Journal of the Optical Society of America B, vol.12, issue.12, p.2467, 1995.

[. Lerosey, Focusing Beyond the Diffraction Limit with Far-Field Time Reversal, Science, vol.315, issue.5815, pp.1120-1122, 2007.

[. Liu, Optical focusing deep inside dynamic scattering media with near-infrared time-reversed ultrasonically encoded (TRUE) light, Nature Communications, vol.6, p.5904, 2015.

[. Liu, Focusing light inside dynamic scattering media with millisecond digital optical phase conjugation, Optica, vol.4, issue.2, pp.280-288, 2017.

[. Lueder and E. Lueder, Liquid Crystal Displays: Addressing Schemes and Electro-Optical Effects, 2010.

. Macfaden, A. J. Wilkinson-;-macfaden, and T. D. Wilkinson, Characterization, design, and optimization of a two-pass twisted nematic liquid crystal spatial light modulator system for arbitrary complex modulation, JOSA A, vol.34, issue.2, pp.161-170, 2017.

P. Mar?enko, V. A. Mar?enko, and L. A. Pastur, Distribution of eigenvalues for some sets of random matrices, Mathematics of the USSR-Sbornik, vol.1, issue.4, p.457, 1967.

[. Martinez, Chromatic aberration control with liquid crystal spatial phase modulators, Optics Express, vol.25, issue.9, pp.9793-9801, 2017.

[. Matthews, Pump-Probe Imaging Differentiates Melanoma from Melanocytic Nevi, vol.3, pp.71-86, 2011.

[. Maurer, What spatial light modulators can do for optical microscopy, Laser & Photonics Reviews, vol.5, issue.1, pp.81-101, 2011.

[. Mccabe, Spatio-temporal focusing of an ultrafast pulse through a multiply scattering medium, Nature Communications, vol.2, p.447, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00920797

[. Mcdowell, Turbidity suppression from the ballistic to the diffusive regime in biological tissues using optical phase conjugation, Journal of Biomedical Optics, vol.15, issue.2, pp.25004-025004, 2010.

Z. Merali, D. Meshulach, and Y. Silberberg, Coherent quantum control of two-photon transitions by a femtosecond laser pulse, Nature News, vol.518, issue.7538, pp.239-242, 1998.

D. Meshulach and Y. Silberberg, Coherent quantum control of multiphoton transitions by shaped ultrashort optical pulses, Physical Review A, vol.60, issue.2, pp.1287-1292, 1999.

G. Mie-;-mie, Beiträge zur Optik trüber Medien, speziell kolloidaler Metallösungen, Annalen der Physik, vol.330, issue.3, pp.377-445, 1908.

. Monmayrant, A newcomer's guide to ultrashort pulse shaping and characterization, Journal of Physics B: Atomic, Molecular and Optical Physics, vol.43, issue.10, p.103001, 2010.

. Morales-delgado, Delivery of focused short pulses through a multimode fiber, Optics Express, vol.23, issue.7, p.9109, 2015.

. Mosk, Controlling waves in space and time for imaging and focusing in complex media, Nature Photonics, vol.6, issue.5, pp.283-292, 2012.

P. F. Moulton, Spectroscopic and laser characteristics of Ti:Al 2 O 3, JOSA B, vol.3, issue.1, pp.125-133, 1986.

. Mounaix, Temporal recompression through a scattering medium via a broadband transmission matrix, Optica, vol.4, issue.10, pp.1289-1292, 2017.

. Mounaix, Spatiotemporal Coherent Control of Light through a Multiple Scattering Medium with the Multispectral Transmission Matrix, Physical Review Letters, vol.116, issue.25, p.253901, 2016.

. Bibliography-[mounaix, Deterministic light focusing in space and time through multiple scattering media with a time-resolved transmission matrix approach, Physical Review A, vol.94, issue.4, p.41802, 2016.

[. Müller, Dispersion pre-compensation of 15 femtosecond optical pulses for high-numerical-aperture objectives, Journal of Microscopy, vol.191, issue.2, pp.141-150, 1998.

R. J. Noll, Zernike polynomials and atmospheric turbulence*, JOSA, vol.66, issue.3, pp.207-211, 1976.
DOI : 10.1364/josa.66.000207

V. Ntziachristos, Going deeper than microscopy: the optical imaging frontier in biology, Nature Methods, vol.7, issue.8, pp.603-614, 2010.

[. Ojambati, Controlling the intensity of light in large areas at the interfaces of a scattering medium, Physical Review A, vol.94, issue.4, p.43834, 2016.

[. Osnabrugge, Generalized optical memory effect, Optica, vol.4, issue.8, pp.886-892, 2017.
DOI : 10.1364/optica.4.000886
URL : http://arxiv.org/pdf/1705.01373

[. Ouzounov, In vivo three-photon imaging of activity of GCaMP6-labeled neurons deep in intact mouse brain, Nature Methods, vol.14, issue.4, pp.388-390, 2017.

B. Padgett, M. Padgett, and R. Bowman, Tweezers with a twist, Nature Photonics, vol.5, issue.6, pp.343-348, 2011.
DOI : 10.1038/nphoton.2011.81

. Papadopoulos, Focusing and scanning light through a multimode optical fiber using digital phase conjugation, Optics Express, vol.20, issue.10, pp.10583-10590, 2012.
DOI : 10.1364/oe.20.010583

[. Patterson, Time resolved reflectance and transmittance for the noninvasive measurement of tissue optical properties, Applied Optics, vol.28, issue.12, pp.2331-2336, 1989.

. Paudel, Focusing polychromatic light through strongly scattering media, Optics Express, vol.21, issue.14, pp.17299-17308, 2013.
DOI : 10.1364/oe.21.017299
URL : http://arxiv.org/pdf/1304.6674

[. Pesce, Step-by-step guide to the realization of advanced optical tweezers, Journal of the Optical Society of America B, vol.32, issue.5, p.84, 2015.

[. Pierrat, Invariance property of wave scattering through disordered media, Proceedings of the National Academy of Sciences, vol.111, issue.50, pp.17765-17770, 2014.
DOI : 10.1073/pnas.1417725111
URL : http://www.pnas.org/content/111/50/17765.full.pdf

B. C. Platt and R. Shack, History and Principles of Shack-Hartmann Wavefront Sensing, Journal of Refractive Surgery, vol.17, issue.5, pp.573-577, 2001.

[. Plöschner, Seeing through chaos in multimode fibres, Nature Photonics, vol.9, issue.8, pp.529-535, 2015.

[. Popoff, Image transmission through an opaque material, Nature Communications, vol.1, p.81, 2010.
DOI : 10.1038/ncomms1078
URL : https://hal.archives-ouvertes.fr/hal-00524487

[. Popoff, Exploiting the Time-Reversal Operator for Adaptive Optics, Selective Focusing, and Scattering Pattern Analysis, Physical Review Letters, vol.107, issue.26, p.263901, 2011.
DOI : 10.1364/qels.2012.qf3h.3
URL : http://arxiv.org/pdf/1108.2449

[. Popoff, Coherent Control of Total Transmission of Light through Disordered Media, Physical Review Letters, vol.112, issue.13, p.133903, 2014.

[. Popoff, Measuring the Transmission Matrix in Optics: An Approach to the Study and Control of Light Propagation in Disordered Media, Physical Review Letters, vol.104, issue.10, p.100601, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00448285

[. Popoff, Controlling light through optical disordered media: transmission matrix approach, New Journal of Physics, vol.13, issue.12, p.123021, 2011.
DOI : 10.1088/1367-2630/13/12/123021
URL : https://hal.archives-ouvertes.fr/hal-00611018

F. Prada, C. Prada, and M. Fink, Eigenmodes of the time reversal operator: A solution to selective focusing in multiple-target media, Wave Motion, vol.20, issue.2, pp.151-163, 1994.

[. Prada, Decomposition of the time reversal operator: Detection and selective focusing on two scatterers, The Journal of the Acoustical Society of America, vol.99, issue.4, pp.2067-2076, 1996.
DOI : 10.1121/1.415393

D. Psaltis and I. N. Papadopoulos, Imaging: The fog clears, Nature, vol.491, issue.7423, pp.197-198, 2012.
DOI : 10.1038/491197a
URL : https://infoscience.epfl.ch/record/184116/files/pdf.webloc

[. Putten, Spatial amplitude and phase modulation using commercial twisted nematic LCDs, Applied Optics, vol.47, issue.12, pp.2076-2081, 2008.

. Rahimi-keshari, Direct characterization of linear-optical networks, Optics Express, vol.21, issue.11, pp.13450-13458, 2013.

[. Redding, Compact spectrometer based on a disordered photonic chip, Nature Photonics, vol.7, issue.9, pp.746-751, 2013.
DOI : 10.1038/nphoton.2013.190
URL : http://arxiv.org/pdf/1304.2951

F. Roddier, Adaptive Optics in Astronomy, 1999.

S. Rotter and S. Gigan, Light fields in complex media: Mesoscopic scattering meets wave control, Reviews of Modern Physics, vol.89, issue.1, p.15005, 2017.
DOI : 10.1103/revmodphys.89.015005
URL : http://arxiv.org/pdf/1702.05395

[. Sansone, Isolated Single-Cycle Attosecond Pulses, Science, vol.314, issue.5798, pp.443-446, 2006.
DOI : 10.1126/science.1132838

[. Bibliography and . Sapienza, Long-Tail Statistics of the Purcell Factor in Disordered Media Driven by Near-Field Interactions, Physical Review Letters, vol.106, issue.16, p.163902, 2011.

. Sapienza, Observation of Resonant Behavior in the Energy Velocity of Diffused Light, Physical Review Letters, vol.99, issue.23, p.233902, 2007.

[. Sardesai, A femtosecond code-division multiple-access communication system test bed, Journal of Lightwave Technology, vol.16, issue.11, pp.1953-1964, 1998.
DOI : 10.1109/50.730356
URL : https://engineering.purdue.edu/~fsoptics/articles/A_Femtosecond_Code_Division-Sardesai.pdf

[. Sarma, Control of Energy Density inside a Disordered Medium by Coupling to Open or Closed Channels, Physical Review Letters, vol.117, issue.8, p.86803, 2016.

N. Savage-;-savage, Digital spatial light modulators, Nature Photonics, vol.3, issue.3, pp.170-172, 2009.

F. Scheffold and G. Maret, Universal Conductance Fluctuations of Light, Physical Review Letters, vol.81, issue.26, pp.5800-5803, 1998.
DOI : 10.1103/physrevlett.81.5800

. Schott, Characterization of the angular memory effect of scattered light in biological tissues, Optics Express, vol.23, issue.10, pp.13505-13516, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01275498

[. Segev, Anderson localization of light, Nature Photonics, vol.7, issue.3, pp.197-204, 2013.

[. Serabyn, An image of an exoplanet separated by two diffraction beamwidths from a star, Nature, vol.464, issue.7291, pp.1018-1020, 2010.

B. Shapiro, Large Intensity Fluctuations for Wave Propagation in Random Media, Physical Review Letters, vol.57, issue.17, pp.2168-2171, 1986.
DOI : 10.1103/physrevlett.57.2168

B. Shapiro, New Type of Intensity Correlation in Random Media, Physical Review Letters, vol.83, issue.23, pp.4733-4735, 1999.

[. Shen, Focusing light through biological tissue and tissue-mimicking phantoms up to 9.6 cm in thickness with digital optical phase conjugation, Journal of Biomedical Optics, vol.21, issue.8, pp.85001-085001, 2016.
DOI : 10.1117/1.jbo.21.8.085001
URL : http://europepmc.org/articles/pmc4982119?pdf=render

[. Shi, Statistics and control of waves in disordered media, Optics Express, vol.23, issue.9, pp.12293-12320, 2015.

G. Shi, Z. Shi, and A. Z. Genack, Transmission Eigenvalues and the Bare Conductance in the Crossover to Anderson Localization, Physical Review Letters, vol.108, issue.4, p.43901, 2012.

G. Shi, Z. Shi, and A. Z. Genack, Dynamic and spectral properties of transmission eigenchannels in random media, Annual Review of Physical Chemistry, vol.92, issue.18, pp.277-292, 2009.

[. Sinefeld, Adaptive optics in multiphoton microscopy: comparison of two, three and four photon fluorescence, Optics Express, vol.23, issue.24, pp.31472-31483, 2015.

G. Skipetrov, S. E. Skipetrov, and A. Goetschy, Eigenvalue distributions of large Euclidean random matrices for waves in random media, Journal of Physics A: Mathematical and Theoretical, vol.44, issue.6, p.65102, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00510509

. Small, Spectral control of broadband light through random media by wavefront shaping, Optics Letters, vol.37, issue.16, pp.3429-3431, 2012.

H. Stöckmann, Quantum Chaos: An Introduction, 2006.

[. Strudley, Mesoscopic light transport by very strong collective multiple scattering in nanowire mats, Nature Photonics, vol.7, issue.5, pp.413-418, 2013.
DOI : 10.1038/nphoton.2013.62
URL : https://eprints.soton.ac.uk/354578/1/strudleyNaturePhoton130205.pdf

[. Tajalli, Characterization of the femtosecond speckle field of a multiply scattering medium via spatio-spectral interferometry, JOSA B, vol.29, issue.6, pp.1146-1151, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00924001

[. Tang, Superpenetration optical microscopy by iterative multiphoton adaptive compensation technique, Proceedings of the National Academy of Sciences, vol.109, issue.22, pp.8434-8439, 2012.
DOI : 10.1073/pnas.1119590109
URL : http://www.pnas.org/content/109/22/8434.full.pdf

[. Tanter, Time reversal and the inverse filter, The Journal of the Acoustical Society of America, vol.108, issue.1, pp.223-234, 2000.
DOI : 10.1121/1.429459
URL : https://hal.archives-ouvertes.fr/hal-00113152

[. Tao, High-speed scanning interferometric focusing by fast measurement of binary transmission matrix for channel demixing, Optics Express, vol.23, issue.11, pp.14168-14187, 2015.
DOI : 10.1364/oe.23.014168

[. Thompson, Diffusive media characterization with laser speckle, Applied Optics, vol.36, issue.16, p.3726, 1997.
DOI : 10.1364/ao.36.003726

D. J. Thouless, Maximum Metallic Resistance in Thin Wires, Physical Review Letters, vol.39, issue.18, pp.1167-1169, 1977.
DOI : 10.1103/physrevlett.39.1167

A. Tikhonov, Solution of Incorrectly Formulated Problems and the Regularization Method, Soviet Math. Dokl, vol.5, pp.1035-1038, 1963.

M. Tomita, M. Tomita, and T. Matsumoto, Observation and formulation of two-dimensional speckle in the space and the time domains, JOSA B, vol.12, issue.1, pp.170-174, 1995.

[. Trebino, Measuring ultrashort laser pulses in the time-frequency domain using frequency-resolved optical gating, Review of Scientific Instruments, vol.68, issue.9, pp.3277-3295, 1997.
DOI : 10.1063/1.1148286

[. Tripathi, Vector transmission matrix for the polarization behavior of light propagation in highly scattering media, Optics Express, vol.20, issue.14, pp.16067-16076, 2012.

[. Bibliography, . Tripathi, S. Toussaint-;-tripathi, and K. C. Toussaint, Quantitative control over the intensity and phase of light transmitted through highly scattering media, Optics Express, vol.21, issue.22, pp.25890-25900, 2013.

R. K. Tyson, Principles of Adaptive Optics, Fourth Edition, 2015.

. Van-albada, Speed of propagation of classical waves in strongly scattering media, Physical Review Letters, vol.66, issue.24, pp.3132-3135, 1991.

. Van-beijnum, Frequency bandwidth of light focused through turbid media, Optics Letters, vol.36, issue.3, p.373, 2011.

. Van-putten, Scattering Lens Resolves Sub-100 nm Structures with Visible Light, Physical Review Letters, vol.106, issue.19, p.193905, 2011.

N. Rossum, M. C. Van-rossum, and T. M. Nieuwenhuizen, Multiple scattering of classical waves: microscopy, mesoscopy, and diffusion, Reviews of Modern Physics, vol.71, issue.1, pp.313-371, 1999.

I. M. Vellekoop, Feedback-based wavefront shaping, Optics Express, vol.23, issue.9, pp.12189-12206, 2015.

A. Vellekoop, I. M. Vellekoop, and C. M. Aegerter, Scattered light fluorescence microscopy: imaging through turbid layers, Optics Letters, vol.35, issue.8, pp.1245-1247, 2010.

[. Vellekoop, Digital optical phase conjugation of fluorescence in turbid tissue, Applied Physics Letters, vol.101, issue.8, p.81108, 2012.

[. Vellekoop, Exploiting disorder for perfect focusing, Nature Photonics, vol.4, issue.5, pp.320-322, 2010.

M. Vellekoop, I. M. Vellekoop, and A. P. Mosk, Focusing coherent light through opaque strongly scattering media, Optics Letters, vol.32, issue.16, pp.2309-2311, 2007.

M. Vellekoop, I. M. Vellekoop, and A. P. Mosk, Phase control algorithms for focusing light through turbid media, Optics Communications, vol.281, issue.11, pp.3071-3080, 2008.

M. Vellekoop, I. M. Vellekoop, and A. P. Mosk, Universal Optimal Transmission of Light Through Disordered Materials, Physical Review Letters, vol.101, issue.12, p.120601, 2008.

D. Walmsley, I. A. Walmsley, and C. Dorrer, Characterization of ultrashort electromagnetic pulses, Advances in Optics and Photonics, vol.1, issue.2, pp.308-437, 2009.

G. Wang, J. Wang, and A. Z. Genack, Transport through modes in random media, Nature, vol.471, issue.7338, pp.345-348, 2011.

[. Wang, Rapid adaptive optical recovery of optimal resolution over large volumes, Nature Methods, vol.11, issue.6, pp.625-628, 2014.

A. Weiner and J. Heritage, Picosecond and femtosecond Fourier pulse shape synthesis, Revue de Physique Appliquée, vol.22, issue.12, pp.1619-1628, 1987.
URL : https://hal.archives-ouvertes.fr/jpa-00245721

[. Weiner, Programmable shaping of femtosecond optical pulses by use of 128-element liquid crystal phase modulator, IEEE Journal of Quantum Electronics, vol.28, issue.4, pp.908-920, 1992.

A. M. Weiner-;-weiner, Femtosecond pulse shaping using spatial light modulators, Review of Scientific Instruments, vol.71, issue.5, pp.1929-1960, 2000.

A. M. Weiner-;-weiner, Ultrafast optics: Focusing through scattering media, Nature Photonics, vol.5, issue.6, pp.332-334, 2011.

[. Weiner, Highresolution femtosecond pulse shaping, Journal of the Optical Society of America B, vol.5, issue.8, p.1563, 1988.

P. Wolf and G. Maret, Weak Localization and Coherent Backscattering of Photons in Disordered Media, Physical Review Letters, vol.55, issue.24, pp.2696-2699, 1985.

[. Wolterink, Programmable two-photon quantum interference in ${10}^{3}$ channels in opaque scattering media, Physical Review A, vol.93, issue.5, p.53817, 2016.

[. Woutersen, Femtosecond Mid-IR Pump-Probe Spectroscopy of Liquid Water: Evidence for a TwoComponent Structure, Science, vol.278, issue.5338, pp.658-660, 1997.

. Xiong, Spatiotemporal Control of Light Transmission through a Multimode Fiber with Strong Mode Coupling, Physical Review Letters, vol.117, issue.5, p.53901, 2016.

[. Xu, Multiphoton fluorescence excitation: new spectral windows for biological nonlinear microscopy, Proceedings of the National Academy of Sciences, vol.93, issue.20, pp.10763-10768, 1996.

[. Xu, Time-reversed ultrasonically encoded optical focusing into scattering media, Nature Photonics, vol.5, issue.3, pp.154-157, 2011.

I. Yamaguchi and T. Zhang, Phase-shifting digital holography, Optics Letters, vol.22, issue.16, pp.1268-1270, 1997.

[. Yao, G. Wang-;-yao, and L. Wang, Propagation of polarized light in turbid media: simulated animation sequences, Optics Express, vol.7, issue.5, p.198, 2000.

[. Yaqoob, Optical phase conjugation for turbidity suppression in biological samples, Nature Photonics, vol.2, issue.2, pp.110-115, 2008.

A. Yariv, On transmission and recovery of three-dimensional image information in optical waveguides*, JOSA, vol.66, issue.4, pp.301-306, 1976.

[. Yariv, Compensation for channel dispersion by nonlinear optical phase conjugation, Optics Letters, vol.4, issue.2, pp.52-54, 1979.

[. Y?lmaz, Optimal control of light propagation through multiple-scattering media in the presence of noise, Biomedical Optics Express, vol.4, issue.9, pp.1759-1768, 2013.

[. Yu, Measuring Large Optical Transmission Matrices of Disordered Media, Physical Review Letters, vol.111, issue.15, p.153902, 2013.

[. Yu, Ultrahigh enhancement of light focusing through disordered media controlled by mega-pixel modes, Optics Express, vol.25, issue.7, pp.8036-8047, 2017.

. Zipfel, Nonlinear magic: multiphoton microscopy in the biosciences, Nature Biotechnology, vol.21, issue.11, pp.1369-1377, 2003.