M. Paurisse, M. Hanna, F. Druon, P. Georges, C. Bellanger et al., Phase and amplitude control of a multimode LMA fiber beam by use of digital holography, Optics Express, vol.17, issue.15, pp.13000-13008, 2009.
DOI : 10.1364/OE.17.013000.m002

URL : https://hal.archives-ouvertes.fr/hal-00567565

M. Paurisse, M. Hanna, F. Druon, and P. Georges, Wavefront control of a multicore ytterbium-doped pulse fiber amplifier by digital holography, Optics Letters, vol.35, issue.9, pp.1428-1430, 2010.
DOI : 10.1364/OL.35.001428

URL : https://hal.archives-ouvertes.fr/hal-00519936

M. Paurisse, M. Hanna, F. Druon, P. Georges, C. Bellanger et al., Diffraction-Limited Operation from Multimode and Multi-Core Fibers Using Active Digital Holography Precompensation " Oral, Advanced Solid State Photonics, CommunicationsàCommunicationsà des Congrès internationaux avec publication des actes 1, p.3, 2010.
DOI : 10.1364/assp.2010.ama3

M. Paurisse, M. Hanna, F. Druon, P. Georges, C. Bellanger et al., Diffraction limited operation from a multimode LMA fiber using active digital holography precompensation " Oral, Post-deadline, CommunicationsàCommunicationsà des Congrès internationaux sans publication des actes 1 European Conference on Lasers and Electro-Optics (CLEO Europe), 2009.

M. Paurisse, M. Hanna, F. Druon, and P. Georges, Determination of modal content in multimode fibers by simultaneous amplitude and phase measurement " Poster, European Conference on Lasers and Electro-Optics, 2009.

M. Paurisse, M. Hanna, F. Druon, P. Georges, C. Bellanger et al., Phase and amplitude control of a multimode LMA fiber beam by use of digital holography, Optics Express, vol.17, issue.15
DOI : 10.1364/OE.17.013000.m002

URL : https://hal.archives-ouvertes.fr/hal-00567565

. Oral, First Topical Meeting on Lasers of the, 2009.

M. Paurisse, M. Hanna, F. Druon, and P. Georges, Wavefront control by digital holography in an Yb-doped multi-core fiber amplifier " Oral, Conference on Lasers and Electro-Optics (CLEO), 2010.

C. Bellanger, M. Paurisse, A. Brignon, J. Colineau, J. P. Huignard et al., Coherent Fiber Combining by digital holography, Conference on Lasers and Electro-Optics (CLEO), 2010.
DOI : 10.1364/ol.33.002937

URL : https://hal.archives-ouvertes.fr/hal-00534541

M. Paurisse, M. Hanna, F. Druon, and P. Georges, Wavefront precompensation of a multicore pulse fiber amplifier by use of an evolutionary algorithm, Europhoton Conference on Solid-state, Fibre and Waveguide Coherent Light Sources, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00567587

M. Paurisse, M. Hanna, F. Druon, P. Georges, C. Bellanger et al., Contrôle actif de l'amplitude et de la phase d'un faisceau en sortie d'une fibre multimode LMA par holographie dynamique, CommunicationsàCommunicationsà des Congrès nationaux sans publication des actes 1, 2009.

A. , ]. L. Allen, M. Beijersbergen, R. Spreeuw, and E. J. Woerdman, Orbital angularmomentum of light and the transformation of Laguerre-Gaussian laser modes, Physical Review A, vol.45, issue.11, pp.8185-8189, 1992.

J. Anderegg, S. Brosnan, E. Cheung, P. Epp, D. Hammons et al., Coherently coupled high-power fiber arrays, Fiber Lasers III: Technology, Systems, and Applications, 2006.
DOI : 10.1117/12.650138

A. Ashkin, J. Dziedzic, J. Bjorkholm, and E. S. Chu, Observation of a single-beam gradient force optical trap for dielectric particles, Optics Letters, vol.11, issue.5, pp.288-290, 1986.
DOI : 10.1364/OL.11.000288

S. Auroux and V. Kermène, Coherence properties of two fiber lasers coupled by mutual injection, Optics Express, vol.17, issue.20, pp.17694-17699, 2009.
DOI : 10.1364/OE.17.017694

URL : https://hal.archives-ouvertes.fr/hal-00450076

C. Bellanger, A. Brignon, J. Colineau, and J. P. Huignard, Coherent fiber combining by digital holography, Optics Letters, vol.33, issue.24, pp.2937-2939, 2008.
DOI : 10.1364/OL.33.002937

URL : https://hal.archives-ouvertes.fr/hal-00534541

]. E. Bochove, P. K. Cheo, and G. G. King, Self-organization in a multicore fiber laser array, Optics Letters, vol.28, issue.14, pp.1200-1202, 2003.
DOI : 10.1364/OL.28.001200

]. E. Bochove, Prediction of passive synchronous phasing in ytterbiumdoped multi-core fiber laser arrays due to a negative nonlinear index, SPIE, vol.5708, pp.132-139, 2005.

M. Born and E. Wolf, Principle of Optics, 1980.

R. W. Boyd, Nonlinear Optics, 2003.

C. D. Brooks and F. D. Teodoro, Multimegawatt peak-power, singletransverse-mode operation of a 100 mu m core diameter, Yb-doped rodlike photonic crystal fiber amplifier, Applied Physics Letters, vol.89, issue.11, p.3, 2006.

M. Cheung, R. R. Weber, and . Rice, Phase Locking of a Pulsed Fiber Amplifier, Advanced Solid-State Photonics, 2008.
DOI : 10.1364/ASSP.2008.WA2

]. C. Corcoran-05, F. Corcoran, and . Durville, Experimental demonstration of a phaselocked laser array using a self-Fourier cavity, Applied Physics Letters, vol.86, issue.20, p.3, 2005.

]. F. Di-teodoro, J. P. Koplow, S. W. Moore, and D. A. Kliner, Diffraction-limited, 300-kW peak-power pulses from a coiled multimode fiber amplifier, Optics Letters, vol.27, issue.7, pp.518-520, 2002.
DOI : 10.1364/OL.27.000518

M. J. Digonnet, R. W. Sadowski, H. J. Shaw, and R. H. , Experimental evidence for strong UV transition contribution in the resonant nonlinearity of doped fibers, Journal of Lightwave Technology, vol.15, issue.2, pp.299-303, 1997.
DOI : 10.1109/50.554381

L. Dong, X. Peng, and E. J. Li, Leakage channel optical fibers with large effective area, Journal of the Optical Society of America B, vol.24, issue.8, pp.1689-1697, 2007.
DOI : 10.1364/JOSAB.24.001689

]. L. Dong-09a, H. A. Dong, L. Mckay, M. Fu, A. Ohta et al., Ytterbium-doped all glass leakage channel fibers with highly fluorine-doped silica pump cladding, Optics Express, vol.17, issue.11, pp.8962-8969, 2009.
DOI : 10.1364/OE.17.008962

]. L. Dong-09b, H. A. Dong, A. Mckay, L. Marcinkevicius, J. Fu et al., Extending Effective Area of Fundamental Mode in Optical Fibers, Journal of Lightwave Technology, vol.27, issue.11, pp.1565-1570, 2009.
DOI : 10.1109/JLT.2009.2020181

]. N. Elkin-07a, A. P. Elkin, V. N. Napartovich, D. V. Troshchieva, and . Vysotsky, Diffraction Modeling of the Multicore Fiber Amplifier, Journal of Lightwave Technology, vol.25, issue.10, pp.3072-3077, 2007.
DOI : 10.1109/JLT.2007.901517

]. N. Elkin-07b, A. P. Elkin, V. N. Napartovich, D. V. Troshchieva, and . Vysotsky, Mode competition in multi-core fiber amplifier, Optics Communications, vol.277, issue.2, pp.390-396, 2007.
DOI : 10.1016/j.optcom.2007.05.029

B. Hu, L. Liu, C. Chai, A. M. Wang, and . Zheltikov, Generation of 150 MW, 110 fs pulses by phase-locked amplification in multicore photonic crystal fiber, Optics letters, vol.35, issue.14, pp.2326-2334, 2010.

S. Fevrier, D. D. Gaponov, P. Roy, M. E. Likhachev, S. L. Semjonov et al., High-power photonic-bandgap fiber laser, Optics Letters, vol.33, issue.9, pp.989-991, 2008.
DOI : 10.1364/OL.33.000989

URL : https://hal.archives-ouvertes.fr/hal-00283709

A. A. Fotiadi, N. Zakharov, O. L. Antipov, and E. P. Mégret, All-fiber coherent combining of Er-doped amplifiers through refractive index control in Yb-doped fibers, Optics Letters, vol.34, issue.22, pp.3574-3576, 2009.
DOI : 10.1364/OL.34.003574

D. L. Fried, Least-square fitting a wave-front distortion estimate to an array of phase-difference measurements, Journal of the Optical Society of America, vol.67, issue.3, p.370, 1977.
DOI : 10.1364/JOSA.67.000370

A. Galvanauskas, M. C. Swan, and C. Liu, Effectively-single-mode large core passive and active fibers with chirally-coupled-core structures, 2008 Conference on Lasers and Electro-Optics, 2008.
DOI : 10.1109/CLEO.2008.4551113

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

]. D. Goldberg, Genetic algorithms in Search, Optimization and Machine Learning, 1989.

]. J. Goodman-67, R. W. Goodman, and . Lawrence, Digital image formation from electrically detected holograms, Applied Physics Letters, vol.11, 1967.

G. D. Goodno, S. J. Mcnaught, J. E. Rothenberg, T. S. Mccomb, P. A. Thielen et al., Active phase and polarization locking of a 14???kW fiber amplifier, Optics Letters, vol.35, issue.10, pp.1542-1544, 2010.
DOI : 10.1364/OL.35.001542

R. Goto, E. C. Ma, and S. D. Jackson, Narrow-linewidth, Yb 3+ -doped, hybrid microstructured fibre laser operating at 1178 nm, Electronics Letters, vol.45, issue.17, pp.2009-2010, 2009.
DOI : 10.1049/el.2009.1734

W. Hardy and . Streifer, Coupled modes of multiwaveguide systems and phased arrays, Journal of Lightwave Technology, vol.4, issue.1, pp.90-99, 1986.
DOI : 10.1109/JLT.1986.1074633

I. Hartl, A. Marcinkevicius, H. A. Mckay, L. Dong, and M. E. Fermann, Coherent Beam Combination Using Multi-Core Leakage-Channel Fibers, Advanced Solid-State Photonics, 2009.
DOI : 10.1364/ASSP.2009.TuA6

S. 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

R. H. Hudgin, Wave-front reconstruction for compensated imaging, Journal of the Optical Society of America, vol.67, issue.3, p.375, 1997.
DOI : 10.1364/JOSA.67.000375

P. K. Huo, G. G. Cheo, and . King, Fundamental mode operation of a 19-core phase-locked Yb-doped fiber amplifier, Optics Express, vol.12, issue.25, pp.6230-6239, 2004.
DOI : 10.1364/OPEX.12.006230.m001

]. J. Jasapara, A. Desantolo, J. W. Nicholson, and A. D. Yablon, Diffraction limited amplification of picosecond pulses in 1170??m^2 effective area erbium fiber, Optics Express, vol.16, issue.23, pp.18869-18874, 2008.
DOI : 10.1364/OE.16.018869

]. J. Jasapara, A. Desantolo, and J. W. Nicholson, Diffraction Limited Amplification of Fundamental Mode in Er Fiber with 1800 µm 2 Effective Area, CLEO, pp.5-6, 2009.

]. J. Koplow, D. A. Kliner, and E. L. Goldberg, Single-mode operation of a coiled multimode fiber amplifier, Optics Letters, vol.25, issue.7, pp.442-444, 2000.
DOI : 10.1364/OL.25.000442

B. Lei and Y. Feng, Phase locking of an array of three fiber lasers by an all-fiber coupling loop, Optics Express, vol.15, issue.25, pp.17114-17119, 2007.
DOI : 10.1364/OE.15.017114

J. Lhermite, A. Desfarges-berthelemot, V. Kermene, and E. A. Barthelemy, Passive phase locking of an array of four fiber amplifiers by an all-optical feedback loop, Optics Letters, vol.32, issue.13, pp.1842-1844, 2007.
DOI : 10.1364/OL.32.001842

URL : https://hal.archives-ouvertes.fr/hal-00159306

J. Lhermite, E. Suran, V. Kermene, F. Louradour, A. Desfarges-berthelemot et al., Coherent combining of 49 laser beams from a multiple core optical fiber by a spatial light modulator, Optics Express, vol.18, issue.5, pp.4783-4789, 2010.
DOI : 10.1364/OE.18.004783

URL : https://hal.archives-ouvertes.fr/hal-00567530

J. Limpert, N. Deguil-robin, I. Manek-hönninger, F. Salin, F. Röser et al., High-power rod-type photonic crystal fiber laser, Optics Express, vol.13, issue.4, pp.1055-1063, 2005.
DOI : 10.1364/OPEX.13.001055

J. Limpert, F. Roser, T. Schreiber, and E. A. Tunnermann, High-power ultrafast fiber laser systems, IEEE Journal of Selected Topics in Quantum Electronics, vol.12, issue.2, pp.233-244, 2006.
DOI : 10.1109/JSTQE.2006.872729

L. Lombard, A. Brignon, J. P. Huignard, E. Lallier, G. Lucas-leclin et al., Diffraction-limited polarized emission from a multimode ytterbium fiber amplifier after a nonlinear beam converter, Optics Letters, vol.29, issue.9, pp.989-991, 2004.
DOI : 10.1364/OL.29.000989

L. Lombard, A. Brignon, J. P. Huignard, and E. E. Lallier, Beam cleanup in a self-aligned gradient-index Brillouin cavity for high-power multimode fiber amplifiers, Optics Letters, vol.31, issue.2, pp.158-160, 2006.
DOI : 10.1364/OL.31.000158

URL : https://hal.archives-ouvertes.fr/hal-00700652

T. H. Maiman, Stimulated Optical Radiation in Ruby, Nature, vol.187, issue.4736, pp.493-494, 1960.
DOI : 10.1103/PhysRevLett.4.564

D. Mcgloin, N. Simpson, and E. M. Padgett, Transfer of orbital angular momentum from a stressed fiber-optic waveguide to a light beam, Applied Optics, vol.37, issue.3, pp.469-472, 1998.
DOI : 10.1364/AO.37.000469

E. G. Weber and . Goodno, Coherent Combining of a 1 . 26-kW Fiber Amplifier, ASSP, pp.1-3, 2010.

M. L. Minden, H. Bruesselbach, J. L. Rogers, M. S. Mangir, D. C. Jones et al., Self-organized coherence in fiber laser arrays, Fiber Lasers: Technology, Systems, and Applications, pp.89-97, 2004.
DOI : 10.1117/12.536444

J. W. Nicholson, .. D. Yablon, S. Ramachandran, and E. S. Ghalmi, Spatially and spectrally resolved imaging of modal content in large-mode-area fibers, Optics Express, vol.16, issue.10, pp.7233-7276, 2008.
DOI : 10.1364/OE.16.007233.m003

J. W. Nicholson, C. Headley, J. Phillips, A. Desantolo, E. Gonzalos et al., Higher-Order-Mode Fiber Amplifiers, Lasers, Sources and Related Photonic Devices, pp.2-4, 2010.
DOI : 10.1364/LSC.2010.LSWD1

D. Paboeuf, F. Emaury, S. D. Rossi, R. Mercier, G. Lucas-leclin et al., Coherent beam superposition of ten diode lasers with a Dammann grating, Optics Letters, vol.35, issue.10, pp.1515-1517, 2010.
DOI : 10.1364/OL.35.001515

URL : https://hal.archives-ouvertes.fr/hal-00533598

R. Paschotta, J. Nilsson, A. C. Tropper, and D. C. Hanna, Ytterbium-doped fiber amplifiers, IEEE Journal of Quantum Electronics, vol.33, issue.7, pp.1049-1056, 1997.
DOI : 10.1109/3.594865

J. Primot and N. Guérineau, Extended Hartmann test based on the pseudoguiding property of a Hartmann mask completed by a phase chessboard, Applied Optics, vol.39, issue.31, p.5715, 2000.
DOI : 10.1364/AO.39.005715

V. Pureur, L. Bigot, G. Bouwmans, Y. Quiquempois, M. Douay et al., Ytterbium-doped solid core photonic bandgap fiber for laser operation around 980 nm, Applied Physics Letters, vol.92, issue.6, p.3, 2008.

S. Ramachandran, J. W. Nicholson, S. Ghalmi, M. F. Yan, P. Wisk et al., Light propagation with ultralarge modal areas in optical fibers, Optics Letters, vol.31, issue.12, pp.1797-1799, 2006.
DOI : 10.1364/OL.31.001797

E. Rittweger, K. Han, S. E. Irvine, C. Eggeling, and E. S. Hell, STED microscopy reveals crystal colour centres with nanometric resolution, Nature Photonics, vol.442, issue.3, pp.144-147, 2009.
DOI : 10.1038/nphoton.2009.2

F. Roddier and C. Roddier, Wavefront reconstruction using iterative Fourier transforms, Applied Optics, vol.30, issue.11, p.1325, 1991.
DOI : 10.1364/AO.30.001325

A. Ruehl, I. Hartl, A. Marcinkevicius, H. A. Mckay, L. Dong et al., Diffraction-limited output from multi-core fibers using coherent beam combination and a diffractive optical element, CLEO/Europe, EQEC 2009, European Conference on Lasers and Electro-Optics and the European Quantum Electronics Conference, 2009.
DOI : 10.1109/CLEOE-EQEC.2009.5194556

D. Sabourdy, V. Kermène, A. Desfarges-berthelemot, L. Lefort, A. Barthélémy et al., Efficient coherent combining of widely tunable fiber lasers, Optics Express, vol.11, issue.2, pp.87-97, 2003.
DOI : 10.1364/OE.11.000087

URL : https://hal.archives-ouvertes.fr/hal-01278005

W. Jüptner, Direct recording of holograms by a CCD target and numerical reconstruction, Applied Optics, vol.33, issue.2, pp.179-181, 1994.

A. Sennaroglu and J. G. Fujimoto, Design criteria for Herriott-type multi-pass cavities for ultrashort pulse lasers, Optics Express, vol.11, issue.9, pp.1106-1113, 2003.
DOI : 10.1364/OE.11.001106

O. Shapira, A. F. Abouraddy, J. D. Joannopoulos, and E. Y. Fink, Complete Modal Decomposition for Optical Waveguides, Physical Review Letters, vol.94, issue.14, p.143902, 2005.
DOI : 10.1103/PhysRevLett.94.143902

T. M. Shay, J. T. Baker, A. D. Sanchez, C. A. Robin, L. C. Vergien et al., Phasing Locking of High Power Fiber Amplifier Arrays, ASSP, pp.15-17, 2010.

B. Shiner, Recent technical and marketing developments in high power fiber lasers, CLEO/Europe, EQEC 2009, European Conference on Lasers and Electro-Optics and the European Quantum Electronics Conference, 2009.
DOI : 10.1109/CLEOE-EQEC.2009.5192043

N. Simpson, K. Dholakia, L. Allen, and E. M. Padgett, Mechanical equivalence of spin and orbital angular momentum of light:???an optical spanner, Optics Letters, vol.22, issue.1, pp.52-54, 1996.
DOI : 10.1364/OL.22.000052

E. Snitzer, H. Po, F. Hakimi, R. Tumminelli, and E. B. Mccollum, Doubleclad , offset-core Nd fiber laser, Conference on Optical Fiber Sensors, p.5, 1988.
DOI : 10.1364/ofs.1988.pd5

D. B. Soh, J. Nilsson, S. Baek, C. Codemard, Y. C. Jeong et al., Modal power decomposition of beam intensity profiles into linearly polarized modes of multimode optical fibers, Journal of the Optical Society of America A, vol.21, issue.7, pp.1241-1250, 2004.
DOI : 10.1364/JOSAA.21.001241

B. Steinhausser, A. Brignon, E. Lallier, J. P. Huignard, and E. P. Georges, High energy, single-mode, narrow-linewidth fiber laser source using stimulated Brillouin scattering beam cleanup, Optics Express, vol.15, issue.10, pp.6464-6469, 2007.
DOI : 10.1364/OE.15.006464

URL : https://hal.archives-ouvertes.fr/hal-00700697

M. R. Teague, Image formation in terms of the transport equation, Journal of the Optical Society of America A, vol.2, issue.11, pp.2019-2026, 1985.
DOI : 10.1364/JOSAA.2.002019

A. Abdou-ahmed, E. T. Voss, and . Graf, Very-large-modearea , single-mode multicore fiber, Optics Letters, vol.34, issue.18, pp.2876-2878, 2009.

P. Wang, L. J. Cooper, J. K. Sahu, and W. A. Clarkson, Efficient single-mode operation of a cladding-pumped ytterbium-doped helical-core fiber laser, Optics Letters, vol.31, issue.2, pp.226-228, 2006.
DOI : 10.1364/OL.31.000226

C. X. Yu, J. E. Kansky, S. E. Shaw, D. V. Murphy, and E. C. Higgs, Coherent beam combining of large number of PM fibres in 2-D fibre array, Electronics Letters, vol.42, issue.18, pp.1024-1025, 2006.
DOI : 10.1049/el:20061938