T. Grismayer, A. Couairon, P. Mora, J. Adam, and A. Héron, Absolute and convective nature of Raman instability in relativistic hot plasmas, Physics of Plasmas, vol.11, issue.10, p.4814, 2004.
DOI : 10.1063/1.1786303

L. Romagnani, J. Fuchs, M. Borghesi, P. Antici, P. Audebert et al., Dynamics of Electric Fields Driving the Laser Acceleration of Multi-MeV Protons, Physical Review Letters, vol.95, issue.19, p.195001, 2005.
DOI : 10.1103/PhysRevLett.95.195001

J. Fuchs, C. A. Cecchetti, M. Borghesi, T. Grismayer, E. Humières et al., Laser-Foil Acceleration of High-Energy Protons in Small-Scale Plasma Gradients, Physical Review Letters, vol.99, issue.1
DOI : 10.1103/PhysRevLett.99.015002

J. Fuchs, E. Humières, T. Grismayer, S. Gaillard, P. Antici et al., En préparation ? Analysis of energy saturation of laser-accelerated proton beams expanding from a thin foil

P. Antici, E. Audebert, F. Brambrink, C. A. Ceccherini, J. Cecchetti et al., Superstrong fields in plasmas, AIP Conference Proceedings, pp.827-191, 2006.

T. Grismayer, L. Romagnani, J. Fuchs, M. Borghesi, P. Antici et al., Dynamics of electric fields driving laser acceleration of multi-MeV protons high-energy protons accelerating fields in short-pulse laser solid interaction, Proceedings of "Inertial Fusion Sciences and Applications, 2005.

P. J. Fuchs, L. Antici, E. Romagnani, P. Brambrink, M. Audebert et al., Laser-acceleration of high energy protons : study of acceleration mechanisms and beam handling, Proceedings of JAERI meeting, 2006.

J. E. Allen and J. Andrews, A note on ion rarefaction waves, Journal of Plasma Physics, vol.3, issue.01, p.187, 1970.
DOI : 10.1017/S0022377800004906

M. Allen, Proton spectra from ultraintense laser???plasma interaction with thin foils: Experiments, theory, and simulation, Physics of Plasmas, vol.10, issue.8, p.3283, 2003.
DOI : 10.1063/1.1592154

F. Amiranoff, Fast electron production in ultra-short high-intensity laser-plasma interaction and its consequences, Measurement Science and Technology, vol.12, issue.11, p.1795, 2001.
DOI : 10.1088/0957-0233/12/11/306

A. V. Baitin and K. M. Kuzanyan, A self-similar solution for expansion into a vacuum of a collisionless plasma bunch, Journal of Plasma Physics, vol.59, issue.1, p.83, 1998.
DOI : 10.1017/S0022377897005916

B. Bezzerides, D. W. Forslund, and E. L. Lindman, Existence of rarefaction shocks in a laser-plasma corona, Physics of Fluids, vol.21, issue.12, p.2179, 1978.
DOI : 10.1063/1.862176

W. , A. J. Mackinnon, M. Galimberti, L. Gizzi, R. J. Clarke et al., Measurement of highly transient electrical charging following high-intensity laser-solid interaction, Appl. Phys. Lett, vol.82, p.1529, 2003.

W. Multi-mev, Proton Source Investigations in Ultraintense Laser-Foil Interactions, Phys. Rev. Lett, vol.92, p.55003, 2004.

A. V. Brantov, V. T. Tikhonchuk, and O. Klimo, Quasi-mono-energetic ion acceleration from a homogeneous composite target by an intense laser pulse, Physics of Plasmas, vol.13, issue.12, p.122705, 2007.
DOI : 10.1063/1.2404928

E. L. Clark, Measurements of Energetic Proton Transport through Magnetized Plasma from Intense Laser Interactions with Solids, Physical Review Letters, vol.84, issue.4
DOI : 10.1103/PhysRevLett.84.670

T. E. Cowan, Ultralow Emittance, Multi-MeV Proton Beams from a Laser Virtual-Cathode Plasma Accelerator, Physical Review Letters, vol.92, issue.20, p.204801, 2004.
DOI : 10.1103/PhysRevLett.92.204801
URL : http://hdl.handle.net/11858/00-001M-0000-000F-BE8B-7

J. E. Crow, P. L. Auer, and J. E. Allen, The expansion of a plasma into a vacuum, Journal of Plasma Physics, vol.10, issue.01, p.65, 1975.
DOI : 10.1063/1.1693510

J. Denavit, Absorption of high-intensity subpicosecond lasers on solid density targets, Physical Review Letters, vol.69, issue.21, p.3052, 1992.
DOI : 10.1103/PhysRevLett.69.3052

E. D. Humieres, E. Lefevbre, L. Gremillet, and V. Malka, Proton acceleration mechanisms in high-intensity laser interaction with thin foils, Physics of Plasmas, vol.12, issue.6, p.62704, 2005.
DOI : 10.1063/1.1927097
URL : https://hal.archives-ouvertes.fr/hal-00569987

D. S. Dorozhkina and V. E. Semenov, Exact Solution of Vlasov Equations for Quasineutral Expansion of Plasma Bunch into Vacuum, Physical Review Letters, vol.81, issue.13, p.2691, 1998.
DOI : 10.1103/PhysRevLett.81.2691

A. P. Fews, Plasma Ion Emission from High Intensity Picosecond Laser Pulse Interactions with Solid Targets, Physical Review Letters, vol.73, issue.13, p.1801, 1994.
DOI : 10.1103/PhysRevLett.73.1801

A. P. Fews, Protons Beams Generated with High-Intensity Lasers, Appl. Phys. Lett, vol.83, p.3039, 2003.

J. Fuchs, Comparison of Laser Ion Acceleration from the Front and Rear Surfaces of Thin Foils, Physical Review Letters, vol.94, issue.4, p.45004, 2005.
DOI : 10.1103/PhysRevLett.94.045004

J. Fuchs, Laser-driven proton scaling laws and new paths towards energy increase, Nature Physics, vol.72, issue.1, p.48, 2006.
DOI : 10.1038/nphys199
URL : https://hal.archives-ouvertes.fr/hal-00502703

I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products, 1980.

A. V. Gurevich, L. V. Pariiskaya, and L. P. Pitaevskii, Self-similar motion of rarefied plasma, Zh. Eksp. Teor. Fiz.Sov. Phys. JETP, vol.49, issue.22, p.449, 1965.

A. V. Gurevich and A. P. Meshcherkin, Ion acceleration in an expanding plasma, Zh. Eksp. Teor. Fiz.Sov. Phys. JETP, vol.53, issue.53, pp.1810-937, 1981.

Y. Kishimoto, K. Mima, T. Watanabe, and K. Nishikawa, Analysis of fast-ion velocity distributions in laser plasmas with a truncated Maxwellian velocity distribution of hot electrons, Physics of Fluids, vol.26, issue.8, p.2308, 1983.
DOI : 10.1063/1.864389

V. F. Kovalev, V. Yu, V. T. Bychenkov, and . Tikhonchuk, Ion acceleration during adiabatic plasma expansion: Renormalization group approach, Journal of Experimental and Theoretical Physics Letters, vol.74, issue.1, p.10, 2001.
DOI : 10.1134/1.1402197

V. F. Kovalev, V. Yu, V. T. Bychenkov, and . Tikhonchuk, Particle dynamics during adiabatic expansion of a plasma bunch, Journal of Experimental and Theoretical Physics, vol.95, issue.2, p.226, 2002.
DOI : 10.1134/1.1506430

V. F. Kovalev, V. Yu, and . Bychenkov, Analytic Solutions to the Vlasov Equations for Expanding Plasmas, Physical Review Letters, vol.90, issue.18, p.185004, 2003.
DOI : 10.1103/PhysRevLett.90.185004

K. Krushelnick, Energetic proton production from relativistic laser interaction with high density plasmas, Physics of Plasmas, vol.7, issue.5, p.2055, 2000.
DOI : 10.1063/1.874027

P. Mckenna, Characterization of proton and heavier ion acceleration in ultrahigh-intensity laser interactions with heated target foils, Physical Review E, vol.70, issue.3, p.36405, 2004.
DOI : 10.1103/PhysRevE.70.036405

A. J. Mackinnon, Enhancement of Proton Acceleration by Hot-Electron Recirculation in Thin Foils Irradiated by Ultraintense Laser Pulses, Physical Review Letters, vol.88, issue.21, p.215006, 2002.
DOI : 10.1103/PhysRevLett.88.215006

P. Maine, D. Strickland, P. Dabo, M. Pessot, and G. Mourou, Generation of ultrahigh peak power pulses by chirped pulse amplification, IEEE Journal of Quantum Electronics, vol.24, issue.2, p.398, 1988.
DOI : 10.1109/3.137

A. Maksimchuk, S. Gu, K. Flippo, D. Umstadter, and V. Y. Bychenkov, Forward Ion Acceleration in Thin Films Driven by a High-Intensity Laser, Physical Review Letters, vol.84, issue.18, p.4108, 2000.
DOI : 10.1103/PhysRevLett.84.4108

A. Maksimchuk, High-energy ion generation by short laser pulses, Plasma Physics Reports, vol.30, issue.6, p.473, 2004.
DOI : 10.1134/1.1768582

G. Manfredi, S. Mola, and M. R. Feix, Rescaling methods and plasma expansions into vacuum, Physics of Fluids B: Plasma Physics, vol.5, issue.2, p.1885, 1993.
DOI : 10.1063/1.860524

P. Mora and R. Pellat, Self-similar expansion of a plasma into a vacuum, Physics of Fluids, vol.22, issue.12, p.2300, 1979.
DOI : 10.1063/1.862541

P. Mora, Plasma Expansion into a Vacuum, Physical Review Letters, vol.90, issue.18, p.185002, 2003.
DOI : 10.1103/PhysRevLett.90.185002
URL : https://hal.archives-ouvertes.fr/hal-01166839

P. Mora, Thin-foil expansion into a vacuum, Physical Review E, vol.72, issue.5, p.56401, 2005.
DOI : 10.1103/PhysRevE.72.056401

P. Mora, Collisionless expansion of a Gaussian plasma into a vacuum, Physics of Plasmas, vol.12, issue.11, p.112102, 2005.
DOI : 10.1063/1.2134768

G. Mourou and D. Umstadter, Development and applications of compact high???intensity lasers, Physics of Fluids B: Plasma Physics, vol.4, issue.7, p.2315, 1992.
DOI : 10.1063/1.860202

C. Sack and H. Schamel, Plasma expansion into vacuum ??? A hydrodynamic approach, Physics Reports, vol.156, issue.6, p.311, 1987.
DOI : 10.1016/0370-1573(87)90039-1

Y. Sentoku, T. E. Cowan, A. Kemp, and H. Ruhl, High energy proton acceleration in interaction of short laser pulse with dense plasma target, Physics of Plasmas, vol.10, issue.5, 2003.
DOI : 10.1063/1.1556298

L. O. Silva, M. Marti, J. R. Davies, R. A. Fonseca, C. Ren et al., Proton Shock Acceleration in Laser-Plasma Interactions, Physical Review Letters, vol.92, issue.1, p.15002, 2004.
DOI : 10.1103/PhysRevLett.92.015002

R. A. Snavely, Intense High-Energy Proton Beams from Petawatt-Laser Irradiation of Solids, Physical Review Letters, vol.85, issue.14, p.15002, 2000.
DOI : 10.1103/PhysRevLett.85.2945

M. A. True, J. R. Albritton, and E. A. Williams, Fast ion production by suprathermal electrons in laser fusion plasmas, Physics of Fluids, vol.24, issue.10, p.1885, 1981.
DOI : 10.1063/1.863270

L. M. Wickens, J. E. Allen, and P. T. Rumsby, Ion Emission from Laser-Produced Plasmas with Two Electron Temperatures, Physical Review Letters, vol.41, issue.4, p.243, 1978.
DOI : 10.1103/PhysRevLett.41.243

M. Widner, I. Alexeff, and W. D. Jones, Plasma Expansion into a Vacuum, Physics of Fluids, vol.14, issue.4, p.795, 1971.
DOI : 10.1063/1.1693510

S. C. Wilks, W. L. Kruer, M. Tabak, and A. B. Langdon, Absorption of ultra-intense laser pulses, Physical Review Letters, vol.69, issue.9, p.1383, 1992.
DOI : 10.1103/PhysRevLett.69.1383

S. C. Wilks, A. B. Langdon, T. E. Cowan, M. Roth, M. Singh et al., Energetic proton generation in ultra-intense laser???solid interactions, Physics of Plasmas, vol.8, issue.2, p.542, 2001.
DOI : 10.1063/1.1333697

M. Zepf, Fast particle generation and energy transport in laser-solid interactions, Physics of Plasmas, vol.8, issue.5, p.2323, 2001.
DOI : 10.1063/1.1351824