A. Couairon and A. Mysyrowicz, Femtosecond filamentation in transparent media, Physics Reports, vol.441, issue.2-4, p.47, 2007.
DOI : 10.1016/j.physrep.2006.12.005
URL : https://hal.archives-ouvertes.fr/hal-00454778

S. Tzortzakis, B. Prade, M. Franco, and A. Mysyrowicz, Time-evolution of the plasma channel at the trail of a self-guided IR femtosecond laser pulse in air, Optics Communications, vol.181, issue.1-3, p.123, 2000.
DOI : 10.1016/S0030-4018(00)00734-3
URL : https://hal.archives-ouvertes.fr/hal-00463716

S. Zahedpour, J. K. Wahlstrand, and H. M. Milchberg, Quantum Control of Molecular Gas Hydrodynamics, Physical Review Letters, vol.112, issue.14, p.143601, 2014.
DOI : 10.1103/PhysRevLett.112.143601

Y. Cheng, J. K. Wahlstrand, N. Jhajj, and H. M. Milchberg, The effect of long timescale gas dynamics on femtosecond filamentation, Optics Express, vol.21, issue.4, p.4740, 2013.
DOI : 10.1364/OE.21.004740

S. Tzortzakis, B. Prade, M. Franco, A. Mysyrowicz, S. Hüller et al., Femtosecond laser-guided electric discharge in air, Physical Review E, vol.64, issue.5, p.57401, 2001.
DOI : 10.1103/PhysRevE.64.057401
URL : https://hal.archives-ouvertes.fr/hal-00463710

J. K. Wahlstrand, N. Jhajj, E. W. Rosenthal, S. Zahedpour, and H. M. Milchberg, Direct imaging of the acoustic waves generated by femtosecond filaments in air, Optics Letters, vol.39, issue.5, p.1290, 2014.
DOI : 10.1364/OL.39.001290

N. Jhajj, E. Rosenthal, R. Birnbaum, J. Wahlstrand, and H. Milchberg, Demonstration of Long-Lived High-Power Optical Waveguides in Air, Physical Review X, vol.4, issue.1, p.11027, 2014.
DOI : 10.1103/PhysRevX.4.011027

O. Lahav, L. Levi, I. Orr, R. Nemirovsky, J. Nemirovsky et al., Long-lived waveguides and sound-wave generation by laser filamentation, Physical Review A, vol.90, issue.2, p.21801, 2014.
DOI : 10.1103/PhysRevA.90.021801

J. Wu, H. Cai, H. M. Milchberg, and H. Zeng, Molecular quantum wakes in the hydrodynamic plasma waveguide in air, Physical Review A, vol.82, issue.4, p.43431, 2010.
DOI : 10.1103/PhysRevA.82.043431

F. Vidal, D. Comtois, A. Desparois, B. L. Fontaine, T. W. Johnston et al., Modeling the triggering of streamers in air by ultrashort laser pulses, IEEE Transactions on Plasma Science, vol.28, issue.2, p.418, 2000.
DOI : 10.1109/27.848101

B. L. Fontaine, F. Vidal, D. Comtois, C. Chien, A. Desparois et al., The influence of electron density on the formation of streamers in electrical discharges triggered with ultrashort laser pulses, IEEE Transactions on Plasma Science, vol.27, issue.3, p.688, 1999.
DOI : 10.1109/27.774673

D. Comtois, C. Y. Chien, A. Desparois, F. Génin, G. Jarry et al., Triggering and guiding leader discharges using a plasma channel created by an ultrashort laser pulse, Bondiou- Clergerie, and I. Gallimberti, p.819, 2000.
DOI : 10.1063/1.125595

T. Dwyer, J. Greig, D. Murphy, J. Perin, R. Pechacek et al., On the feasibility of using an atmospheric discharge plasma as an RF antenna, IEEE Transactions on Antennas and Propagation, vol.32, issue.2, p.141, 1984.
DOI : 10.1109/TAP.1984.1143275

Y. Brelet, A. Houard, G. Point, B. Prade, L. Arantchouk et al., Radiofrequency plasma antenna generated by femtosecond laser filaments in air, Applied Physics Letters, vol.101, issue.26, p.264106, 2012.
DOI : 10.1063/1.4773492
URL : https://hal.archives-ouvertes.fr/hal-00852044

G. Point, Y. Brelet, L. Arantchouk, J. Carbonnel, B. Prade et al., Two-color interferometer for the study of laser filamentation triggered electric discharges in air, Review of Scientific Instruments, vol.85, issue.12, p.123101, 2014.
DOI : 10.1063/1.4902533
URL : https://hal.archives-ouvertes.fr/hal-01118353

M. Born and E. Wolf, Principles of Optics, 2001.
DOI : 10.1017/CBO9781139644181

R. A. Alpher and D. R. White, Optical Refractivity of High-Temperature Gases. I. Effects Resulting from Dissociation of Diatomic Gases, Physics of Fluids, vol.2, issue.2, p.153, 1959.
DOI : 10.1063/1.1705906

P. E. Ciddor, Refractive index of air: new equations for the visible and near infrared, Applied Optics, vol.35, issue.9, p.1566, 1996.
DOI : 10.1364/AO.35.001566

E. F. Toro, Riemann Solvers and Numerical Methods for Fluid Dynamics, 2009.

F. Théberge, W. Liu, P. Simard, A. Becker, and S. Chin, Plasma density inside a femtosecond laser filament in air: Strong dependence on external focusing, Physical Review E, vol.74, issue.3, p.36406, 2006.
DOI : 10.1103/PhysRevE.74.036406

P. P. Kiran, S. Bagchi, S. R. Krishnan, C. L. Arnold, G. R. Kumar et al., Focal dynamics of multiple filaments: Microscopic imaging and reconstruction, Physical Review A, vol.82, issue.1, p.13805, 2010.
DOI : 10.1103/PhysRevA.82.013805
URL : https://hal.archives-ouvertes.fr/hal-00558072

X. Liu, X. Lu, X. Liu, T. Xi, F. Liu et al., Tightly focused femtosecond laser pulse in air: from filamentation to breakdown, Optics Express, vol.18, issue.25, p.26007, 2010.
DOI : 10.1364/OE.18.026007

Z. Zhang, X. Lu, T. Xi, and W. Liang, Long distance filamentation of 400 nm femtosecond laser pulses in??air, Applied Physics B, vol.15, issue.1, p.207, 2009.
DOI : 10.1007/s00340-009-3663-0

M. Kolesik, J. Moloney, and E. Wright, Polarization dynamics of femtosecond pulses propagating in air, Physical Review E, vol.64, issue.4, p.46607, 2001.
DOI : 10.1103/PhysRevE.64.046607

G. Fibich and B. Ilan, Self-focusing of circularly polarized beams, Physical Review E, vol.67, issue.3, p.36622, 2003.
DOI : 10.1103/PhysRevE.67.036622

J. C. Diels, J. Yeak, D. Mirell, R. Fuentes, S. Rostami et al., Air filaments and vacuum, Laser Physics, vol.20, issue.5, p.1101, 2010.
DOI : 10.1134/S1054660X10090379

S. Petit, A. Talebpour, A. Proulx, and S. Chin, Polarization dependence of the propagation of intense laser pulses in air, Optics Communications, vol.175, issue.4-6, p.323, 2000.
DOI : 10.1016/S0030-4018(00)00494-6

B. Zhou, A. Houard, Y. Liu, B. Prade, A. Mysyrowicz et al., Measurement and Control of Plasma Oscillations in Femtosecond Filaments, Physical Review Letters, vol.106, issue.25, p.255002, 2011.
DOI : 10.1103/PhysRevLett.106.255002
URL : https://hal.archives-ouvertes.fr/hal-00852023

S. Mitryukovskiy, Y. Liu, P. Ding, A. Houard, and A. Mysyrowicz, Backward stimulated radiation from filaments in nitrogen gas and air pumped by circularly polarized 800 nm femtosecond laser pulses, Optics Express, vol.22, issue.11, p.12750, 2014.
DOI : 10.1364/OE.22.012750
URL : https://hal.archives-ouvertes.fr/hal-01118205

P. Panagiotopoulos, N. K. Efremidis, D. G. Papazoglou, A. Couairon, and S. Tzortzakis, Tailoring the filamentation of intense femtosecond laser pulses with periodic lattices, Physical Review A, vol.82, issue.6, p.61803, 2010.
DOI : 10.1103/PhysRevA.82.061803

S. Suntsov, D. Abdollahpour, D. G. Papazoglou, P. Panagiotopoulos, A. Couairon et al., Tailoring femtosecond laser pulse filamentation using plasma photonic lattices, Applied Physics Letters, vol.103, issue.2, p.21106, 2013.
DOI : 10.1063/1.4813310

G. Point, Y. Brelet, A. Houard, V. Jukna, C. Milián et al., Superfilamentation in Air, Physical Review Letters, vol.112, issue.22, p.223902, 2014.
DOI : 10.1103/PhysRevLett.112.223902
URL : https://hal.archives-ouvertes.fr/hal-01118211