D. Faccio, A. Dubietis, G. Tamosauskas, P. Polesana, G. Valiulis et al., Phase- and group-matched nonlinear interactions mediated by multiple filamentation in Kerr media, Physical Review A, vol.76, issue.5, p.55802, 2007.
DOI : 10.1103/PhysRevA.76.055802

D. Faccio, A. Averchi, A. Lotti, P. D. Trapani, A. Couairon et al., Ultrashort laser pulse filamentation from spontaneous X Wave formation in air, Optics Express, vol.16, issue.3, pp.1546-1551, 2008.
DOI : 10.1364/OE.16.001565.m001

D. Faccio, A. Lotti, M. Kolesik, J. V. Moloney, S. Tzortzakis et al., Spontaneous emergence of pulses with constant carrier-envelope phase in femtosecond filamentation, Optics Express, vol.16, issue.15, pp.11103-11114, 2008.
DOI : 10.1364/OE.16.011103

F. Bragheri, D. Faccio, F. Bonaretti, A. Lotti, M. Clerici et al., Complete retrieval of the field of ultrashort optical pulses using the angle-frequency spectrum, Optics Letters, vol.33, issue.24, pp.2952-2954, 2008.
DOI : 10.1364/OL.33.002952

D. Faccio, M. Clerici, A. Averchi, A. Lotti, O. Jedrkiewicz et al., -wave formation, Physical Review A, vol.78, issue.3, p.33826, 2008.
DOI : 10.1103/PhysRevA.78.033826
URL : https://hal.archives-ouvertes.fr/in2p3-00012822

D. Faccio, A. Averchi, A. Lotti, M. Kolesik, J. V. Moloney et al., Generation and control of extreme blueshifted continuum peaks in optical Kerr media, Physical Review A, vol.78, issue.3, p.33825, 2008.
DOI : 10.1103/PhysRevA.78.033825

D. Faccio, A. Lotti, A. Matijosius, F. Bragheri, V. Degiorgio et al., Experimental energy-density flux characterization of ultrashort laser pulse filaments, Optics Express, vol.17, issue.10, pp.8193-8200, 2009.
DOI : 10.1364/OE.17.008193

A. Lotti, A. Couairon, D. Faccio, and P. D. Trapani, Energy-flux characterization of conical and space-time coupled wave packets, Physical Review A, vol.81, issue.2, p.23810, 2010.
DOI : 10.1103/PhysRevA.81.023810

A. Lotti, A. Couairon, D. Faccio, and P. D. Trapani, Energy density characterization of complex ultrashort laser pulses, Nonlinear Optics and Applications IV, p.77280, 2010.
DOI : 10.1117/12.854551

A. Lotti, D. Faccio, A. Couairon, M. B. Gaarde, and P. D. Trapani, Carrier-envelope shearing and isolated attosecond pulse generation, Physical Review A, vol.83, issue.5, p.53804, 2011.
DOI : 10.1103/PhysRevA.83.053804
URL : http://hdl.handle.net/11383/1790128

A. Lotti, D. Faccio, A. Couairon, D. G. Papazoglou, P. Panagiotopoulos et al., Stationary nonlinear Airy beams, Physical Review A, vol.84, issue.2, p.21807, 2011.
DOI : 10.1103/PhysRevA.84.021807

A. Clerici, D. Lotti, P. D. Faccio, A. Trapani, J. Couairon et al., Trajectory interferences in a semi-infinite gas cell, Laser Phys. Lett

P. Panagiotopoulos, D. Abdollahpour, A. Lotti, A. Couairon, D. Faccio et al., Nonlinear propagation dynamics of finite energy Airy beams Analogue Gravity and ultrashort laser pulse filamentation, Phys. Rev. A EuroPhys. Lett, vol.898934004, issue.3, pp.340040295-5075, 2010.

M. Clerici, D. Faccio, E. Rubino, A. Lotti, A. Couairon et al., Space???time focusing of Bessel-like pulses, Optics Letters, vol.35, issue.19, pp.3267-3269, 2010.
DOI : 10.1364/OL.35.003267

F. Ferri, A. D. Angelo, M. Lee, A. Lotti, M. C. Pigazzini et al., Kinetics of colloidal fractal aggregation by differential dynamic microscopy, The European Physical Journal Special Topics, vol.83, issue.1, pp.139-148, 2011.
DOI : 10.1140/epjst/e2011-01509-9

J. M. Brown, A. Lotti, A. Teleki, and M. Kolesik, Exactly solvable model for nonlinear light-matter interaction in an arbitrary time-dependent field, Physical Review A, vol.84, issue.6, p.63424, 2011.
DOI : 10.1103/PhysRevA.84.063424

@. A. Averchi, D. Faccio, A. Lotti, M. Kolesik, J. V. Moloney et al., Tunable, octave-spanning supercontinuum driven by X-Waves formation in condensed Kerr media, A.2 Contributions at international conferences Before the Ph.D. studies XVI International Conference on Ultrafast Phenomena) A.2 Contributions at international conferences, 2008.

@. A. Lotti, D. Faccio, M. Kolesik, J. V. Moloney, S. Tzortzakis et al., Spontaneous emergence of pulses with constant carrier-envelope phase in femtosecond filamentation, Topical Meeting on Nonlinear Optics: Materials, Devices and Spatio-Temporal Effects, 2008.

@. M. Clerici, O. Jedrkiewicz, D. Faccio, A. Averchi, A. Lotti et al., Controlled X wave formation in bulk quadratic and cubic nonlinear media, LEOS 2008, 21st Annual Meeting of the IEEE Lasers and Electro-Optics Society, 2008.
DOI : 10.1109/LEOS.2008.4688900

@. D. Faccio, A. Lotti, P. D. Trapani, and A. Couairon, Energy-density characterization of ultrashort laser pulses, Complex Phenomena in Nonlinear Physics, 2009.

@. A. Lotti, A. Couairon, D. Faccio, and P. D. Trapani, Energy density characterization of complex ultrashort laser pulses, Nonlinear Optics and Applications IV, 2010.
DOI : 10.1117/12.854551

@. S. Teichmann, D. Austin, P. Bates, S. Cousin, A. Grün et al., Anglefrequency analysis of high-order harmonic generation, 2011.

@. A. Couairon, A. Lotti, P. Panagiotopoulos, D. Abdollahpour, D. Faccio et al., Nonlinear propagation and filamentation of intense Airy beams in transparent media, Nonlinear Optics and Applications VI, 2012.
DOI : 10.1117/12.922476

A. Bahabad, M. M. Murnane, and H. C. Kapteyn, Manipulating nonlinear optical processes with accelerating light beams, Physical Review A, vol.84, issue.3, p.33819, 2011.
DOI : 10.1103/PhysRevA.84.033819

M. K. Bhuyan, F. Courvoisier, P. A. Lacourt, M. Jacquot, R. Salut et al., High aspect ratio nanochannel machining using single shot femtosecond Bessel beams, Applied Physics Letters, vol.97, issue.8, p.81102, 2010.
DOI : 10.1063/1.3479419
URL : https://hal.archives-ouvertes.fr/hal-00517173

P. Polynkin, M. Kolesik, A. Roberts, D. Faccio, P. Di-trapani et al., Generation of extended plasma channels in air using femtosecond Bessel beams, Optics Express, vol.16, issue.20, pp.15733-15740, 2008.
DOI : 10.1364/OE.16.015733

S. Akturk, B. Zhou, M. Franco, A. Couairon, and A. Mysyrowicz, Generation of long plasma channels in air by focusing ultrashort laser pulses with an axicon, Optics Communications, vol.282, issue.1, pp.129-134, 2009.
DOI : 10.1016/j.optcom.2008.09.048
URL : https://hal.archives-ouvertes.fr/hal-00457961

D. Faccio, A. Averchi, A. Dubietis, P. Polesana, A. Piskarskas et al., Stimulated Raman X waves in ultrashort optical pulse filamentation, Optics Letters, vol.32, issue.2, pp.184-186, 2007.
DOI : 10.1364/OL.32.000184

T. Brabec and F. Krausz, Intense few-cycle laser fields: Frontiers of nonlinear optics, Reviews of Modern Physics, vol.72, issue.2, p.545, 2000.
DOI : 10.1103/RevModPhys.72.545

T. Popmintchev, M. Chen, P. Arpin, M. M. Murnane, and H. C. Kapteyn, The attosecond nonlinear optics of bright coherent X-ray generation, Nature Photonics, vol.4, issue.12, pp.822-832, 2010.
DOI : 10.1038/nphoton.2010.256

M. Hentschel, R. Kienberger, . Ch, G. A. Spielmann, N. Reider et al., Attosecond metrology, Nature, vol.414, issue.6863, pp.509-513, 2001.
DOI : 10.1038/35107000

G. A. Siviloglou and D. N. Christodoulides, Accelerating finite energy Airy beams, Optics Letters, vol.32, issue.8, pp.979-981, 2007.
DOI : 10.1364/OL.32.000979

G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, Observation of Accelerating Airy Beams, Physical Review Letters, vol.99, issue.21, p.213901, 2007.
DOI : 10.1103/PhysRevLett.99.213901

M. D. Feit, J. A. Fleck, and J. , Beam nonparaxiality, filament formation, and beam breakup in the self-focusing of optical beams, Journal of the Optical Society of America B, vol.5, issue.3, pp.633-640, 1988.
DOI : 10.1364/JOSAB.5.000633

A. V. Husakou and J. Herrmann, Supercontinuum Generation of Higher-Order Solitons by Fission in Photonic Crystal Fibers, Physical Review Letters, vol.87, issue.20, p.203901, 2001.
DOI : 10.1103/PhysRevLett.87.203901

M. A. Porras, Propagation of single-cycle pulsed light beams in dispersive media, Physical Review A, vol.60, issue.6, pp.5069-5073, 1999.
DOI : 10.1103/PhysRevA.60.5069

T. Brabec and F. Krausz, Nonlinear Optical Pulse Propagation in the Single-Cycle Regime, Physical Review Letters, vol.78, issue.17, pp.3282-3285, 1997.
DOI : 10.1103/PhysRevLett.78.3282

A. Couairon and A. Mysyrowicz, Femtosecond filamentation in transparent media, Physics Reports, vol.441, issue.2-4, pp.47-189, 2007.
DOI : 10.1016/j.physrep.2006.12.005
URL : https://hal.archives-ouvertes.fr/hal-00454778

J. H. Marburger, Self-focusing: Theory, Progress in Quantum Electronics, vol.4, issue.75, pp.35-11010, 1975.
DOI : 10.1016/0079-6727(75)90003-8

M. D. Feit and J. A. Fleck, Effect of refraction on spot???size dependence of laser???induced breakdown, Applied Physics Letters, vol.24, issue.4, pp.169-172, 1974.
DOI : 10.1063/1.1655139

Y. P. Raizer, Heating of a gas by a powerful light pulse, Sov. Phys. JETP, vol.21, issue.5, p.1009, 1965.

S. Skupin, R. Nuter, and L. Bergé, Optical femtosecond filaments in condensed media, Physical Review A, vol.74, issue.4, p.43813, 2006.
DOI : 10.1103/PhysRevA.74.043813

F. Demartini, C. H. Townes, T. K. Gustafson, and P. L. Kelley, Self-Steepening of Light Pulses, Physical Review, vol.164, issue.2, pp.312-323, 1967.
DOI : 10.1103/PhysRev.164.312

L. V. Keldysh, Ionization in the field of a strong electromagnetic wave, Sov. Phys, pp.1307-1314, 1965.

S. Augst, D. D. Meyerhofer, D. Strickland, and S. L. Chint, Laser ionization of noble gases by Coulomb-barrier suppression, Journal of the Optical Society of America B, vol.8, issue.4, pp.858-867, 1991.
DOI : 10.1364/JOSAB.8.000858

A. M. Perelomov, V. S. Popov, and M. V. , Terent'ev, Ionization of Atoms in an Alternating Electric Field, Sov. Phys. JETP, vol.23, pp.924-934, 1966.

A. M. Perelomov, V. S. Popov, and M. V. , Terent'ev, Ionization of Atoms in an Alternating Electric Field: II, Sov. Phys, p.207, 1967.

A. M. Perelomov and V. S. Popov, Ionization of Atoms in an Alternating Electrical Field. III, Sov. Phys, JETP, vol.25, p.336, 1967.

M. V. Ammosov, N. B. Delone, and V. P. Krainov, Tunnel ionization of complex atoms and of atomic ions in an alternating electromagnetic field, Sov. Phys, JETP, vol.64, issue.6, pp.1191-1194, 1986.

F. A. Ilkov, J. E. Decker, and S. L. Chin, Ionization of atoms in the tunnelling regime with experimental evidence using Hg atoms, Journal of Physics B: Atomic, Molecular and Optical Physics, vol.25, issue.19, p.4005, 1992.
DOI : 10.1088/0953-4075/25/19/011

K. Mishima, M. Hayashi, J. Yi, S. H. Lin, H. L. Selzle et al., Generalization of Keldysh???s theory, Physical Review A, vol.66, issue.3, p.33401, 2002.
DOI : 10.1103/PhysRevA.66.033401

T. Pfeifer, C. Spielmann, and G. Gerber, Femtosecond xray science, Rep. Prog. Phys, vol.6969, issue.22, pp.443-505, 2006.

A. Mcpherson, G. Gibson, H. Jara, U. Johann, T. S. Luk et al., Studies of multiphoton production of vacuum-ultraviolet radiation in the rare gases, Journal of the Optical Society of America B, vol.4, issue.4, pp.595-601, 1987.
DOI : 10.1364/JOSAB.4.000595

M. Ferray, A. L. Huillier, X. F. Li, L. A. Lompre, G. Mainfray et al., Multiple-harmonic conversion of 1064 nm radiation in rare gases, Journal of Physics B: Atomic, Molecular and Optical Physics, vol.21, issue.3, pp.3110-1088, 1988.
DOI : 10.1088/0953-4075/21/3/001

P. B. Corkum, Plasma perspective on strong field multiphoton ionization, Physical Review Letters, vol.71, issue.13, pp.1994-1997, 1993.
DOI : 10.1103/PhysRevLett.71.1994

K. C. Kulander, K. J. Schafer, and J. L. Krause, Dynamics of Short-Pulse Excitation, Ionization and Harmonic Conversion, Proceedings of the Super-Intense Laser-Atom Physics III (SILAP III) Workshop, pp.95-110, 1993.
DOI : 10.1007/978-1-4615-7963-2_10

J. L. Krause, K. J. Schafer, and K. C. Kulander, High-order harmonic generation from atoms and ions in the high intensity regime, Physical Review Letters, vol.68, issue.24, pp.3535-3538, 1992.
DOI : 10.1103/PhysRevLett.68.3535

K. S. Budil, P. Salì-eres, M. D. Perry, and A. L. Huillier, Influence of ellipticity on harmonic generation, Physical Review A, vol.48, issue.5, pp.3437-3440, 1993.
DOI : 10.1103/PhysRevA.48.R3437

P. Dietrich, N. H. Burnett, M. Ivanov, and P. B. Corkum, High-harmonic generation and correlated two-electron multiphoton ionization with elliptically polarized light, Physical Review A, vol.50, issue.5, pp.3585-3588, 1994.
DOI : 10.1103/PhysRevA.50.R3585

M. Lewenstein, . Ph, M. Balcou, . Yu, A. L. Ivanov et al., Theory of high-harmonic generation by low-frequency laser fields, Physical Review A, vol.49, issue.3, pp.2117-2132, 1994.
DOI : 10.1103/PhysRevA.49.2117

P. Antoine, A. L. Huillier, M. Lewenstein, P. Salì-eres, and B. Carré, Theory of high-order harmonic generation by an elliptically polarized laser field, Physical Review A, vol.53, issue.3, pp.1725-1745, 1996.
DOI : 10.1103/PhysRevA.53.1725

H. A. Bethe and E. E. Salpeter, Quantum mechanics of one and two electron atoms, 1957.

M. Lewenstein, P. Salì-eres, and A. L. Huillier, Phase of the atomic polarization in high-order harmonic generation, Physical Review A, vol.52, issue.6, pp.4747-4754, 1995.
DOI : 10.1103/PhysRevA.52.4747

M. B. Gaarde, F. Salin, E. Constant, . Ph, K. J. Balcou et al., Spatiotemporal separation of high harmonic radiation into two quantum path components, Physical Review A, vol.59, issue.2, pp.1367-1373, 1999.
DOI : 10.1103/PhysRevA.59.1367

. Ph, A. S. Balcou, M. B. Dederichs, A. L. Gaarde, and . Huillier, Quantumpath analysis and phase matching of high-order harmonic generation and high-order frequency mixing processes in strong laser fields, J. Phys. B: At. Mol. Opt. Phys, vol.323212315, issue.12, pp.2973-298910, 1999.

P. Salì-eres, A. L. Huillier, and M. Lewenstein, Coherence Control of High-Order Harmonics, Physical Review Letters, vol.74, issue.19, pp.3776-3779, 1995.
DOI : 10.1103/PhysRevLett.74.3776

P. Salì-eres, B. Carré, L. Le-déroff, F. Grasbon, G. G. Paulus et al., Feynman's Path-Integral Approach for Intense-Laser-Atom Interactions, Science, vol.292, issue.5518, pp.902-905, 2001.
DOI : 10.1126/science.108836

M. Murakami, J. Mauritsson, A. L. Huillier, K. J. Schafer, and M. B. Gaarde, Calculation and manipulation of the chirp rates of high-order harmonics, Physical Review A, vol.71, issue.1, p.13410, 2005.
DOI : 10.1103/PhysRevA.71.013410

P. Salì-eres, A. L. Huillier, . Ph, M. Antoine, and . Lewenstein, Study of The Spatial and Temporal Coherence of High-Order Harmonics, Adv. At. Mol. Opt. Phys, vol.41, pp.83-142, 1999.
DOI : 10.1016/S1049-250X(08)60219-0

C. Lyngå, M. B. Gaarde, C. Delfin, M. Bellini, T. W. Hänsch et al., Temporal coherence of high-order harmonics, Physical Review A, vol.60, issue.6, pp.4823-4830, 1999.
DOI : 10.1103/PhysRevA.60.4823

M. B. Gaarde, J. L. Tate, and K. J. Schafer, Macroscopic aspects of attosecond pulse generation, Journal of Physics B: Atomic, Molecular and Optical Physics, vol.41, issue.13, pp.1320010953-4075, 2008.
DOI : 10.1088/0953-4075/41/13/132001

A. Rundquist, C. G. Durfee, I. , Z. Chang, C. Herne et al., Phase-Matched Generation of Coherent Soft X-rays, Science, vol.280, issue.5368, pp.1412-1415, 1998.
DOI : 10.1126/science.280.5368.1412

M. Schnürer, Z. Cheng, S. Sartania, M. Hentschel, G. Tempea et al., Guiding and high-harmonic generation of sub-10-fs pulses in hollow-core fibers at 10 15 W/cm 2, Applied Physics B: Lasers and Optics, vol.67, issue.2, pp.263-266, 1998.
DOI : 10.1007/s003400050504

C. G. Durfee, I. , A. R. Rundquist, S. Backus, C. Herne et al., Phase Matching of High-Order Harmonics in Hollow Waveguides, Phase Matching of High-Order Harmonics in Hollow Waveguides, pp.2187-2190, 1999.
DOI : 10.1103/PhysRevLett.83.2187

Y. Tamaki, Y. Nagata, M. Obara, and K. Midorikawa, Phase-matched high-order-harmonic generation in a gas-filled hollow fiber, Physical Review A, vol.59, issue.5, pp.4041-4044, 1999.
DOI : 10.1103/PhysRevA.59.4041

E. Marcatili and R. Schmeltzer, Hollow Metallic and Dielectric Waveguides for Long Distance Optical Transmission and Lasers, Bell System Technical Journal, vol.43, issue.4, pp.1783-1809, 1964.
DOI : 10.1002/j.1538-7305.1964.tb04108.x

Y. Tamaki, J. Itatani, Y. Nagata, M. Obara, and K. Midorikawa, Highly Efficient, Phase-Matched High-Harmonic Generation by a Self-Guided Laser Beam, Physical Review Letters, vol.82, issue.7, pp.1422-1425, 1999.
DOI : 10.1103/PhysRevLett.82.1422

V. Tosa, E. Takahashi, Y. Nabekawa, and K. Midorikawa, Generation of high-order harmonics in a self-guided beam, Physical Review A, vol.67, issue.6, p.63817, 2003.
DOI : 10.1103/PhysRevA.67.063817

M. Nisoli, E. Priori, G. Sansone, S. Stagira, G. Cerullo et al., High-Brightness High-Order Harmonic Generation by Truncated Bessel Beams in the Sub-10-fs Regime, Physical Review Letters, vol.88, issue.3, p.33902, 2002.
DOI : 10.1103/PhysRevLett.88.033902

T. Auguste, O. Gobert, and B. Carré, Numerical study on high-order harmonic generation by a Bessel-Gauss laser beam, Physical Review A, vol.78, issue.3, p.33411, 2008.
DOI : 10.1103/PhysRevA.78.033411

A. Averchi, D. Faccio, R. Berlasso, M. Kolesik, J. V. Moloney et al., Phase matching with pulsed Bessel beams for high-order harmonic generation, Physical Review A, vol.77, issue.2, p.21802, 2008.
DOI : 10.1103/PhysRevA.77.021802

L. V. Dao, K. B. Dinh, and P. Hannaford, Generation of extreme ultraviolet radiation with a Bessel-Gaussian beam, Appl. Phys. Lett, vol.95, issue.13, 2009.

E. Constant, D. Garzella, P. Breger, E. Mével, . Ch et al., Optimizing High Harmonic Generation in Absorbing Gases: Model and Experiment, Physical Review Letters, vol.82, issue.8, pp.1668-1671, 1999.
DOI : 10.1103/PhysRevLett.82.1668

M. Schnürer, Z. Cheng, M. Hentschel, G. Tempea, P. Kálmán et al., Absorption-Limited Generation of Coherent Ultrashort Soft-X-Ray Pulses, Physical Review Letters, vol.83, issue.4, pp.722-725, 1999.
DOI : 10.1103/PhysRevLett.83.722

D. Mcgloin and K. Dholakia, Bessel beams: Diffraction in a new light, Contemporary Physics, vol.46, issue.1, pp.15-28, 2005.
DOI : 10.1080/0010751042000275259

J. Durnin, J. J. Miceli, and J. H. Eberly, Diffraction-free beams, Physical Review Letters, vol.58, issue.15, pp.1499-1501, 1987.
DOI : 10.1103/PhysRevLett.58.1499

F. Gori, G. Guattari, and C. Padovani, Bessel-Gauss beams, Optics Communications, vol.64, issue.6, pp.491-49510, 1987.
DOI : 10.1016/0030-4018(87)90276-8

L. M. Soroko, Meso-optics: foundations and applications, 1996.
DOI : 10.1142/3135

R. Macdonald, S. Boothroyd, T. Okamoto, J. Chrostowski, and B. Syrett, Interboard optical data distribution by Bessel beam shadowing, Optics Communications, vol.122, issue.4-6, pp.169-1770030, 1996.
DOI : 10.1016/0030-4018(95)00432-7

Z. Bouchal, J. Wagner, and M. Chlup, Self-reconstruction of a distorted nondiffracting beam, Optics Communications, vol.151, issue.4-6, pp.207-21110, 1998.
DOI : 10.1016/S0030-4018(98)00085-6

V. Garcés-chávez, D. Mcgloin, H. Melville, W. Sibbett, and K. Dholakia, Simultaneous micromanipulation in multiple planes using a self-reconstructing light beam, Nature, vol.4, issue.6903, pp.145-147, 2002.
DOI : 10.1063/1.1455136

F. O. Fahrbach, P. Simon, and A. Rohrbach, Microscopy with self-reconstructing beams, Nature Photonics, vol.170, issue.11, pp.780-785, 2010.
DOI : 10.1364/AO.18.000294

M. A. Porras, G. Valiulis, and P. D. Trapani, Unified description of Bessel X waves with cone dispersion and tilted pulses, Physical Review E, vol.68, issue.1, p.16613, 2003.
DOI : 10.1103/PhysRevE.68.016613

J. Lu and J. F. Greenleaf, Ultrasonic nondiffracting transducer for medical imaging, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, vol.37, issue.5, pp.438-447, 1990.
DOI : 10.1109/58.105250

J. Lu and J. F. Greenleaf, Nondiffracting X waves-exact solutions to free-space scalar wave equation and their finite aperture realizations, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, vol.39, issue.1, pp.19-31, 1992.
DOI : 10.1109/58.166806

E. Recami, On localized " X-shaped " Superluminal solutions to Maxwell equations, Physica A 252, pp.586-610, 1998.

Z. Liu and D. Fan, Propagation of pulsed zeroth-order bessel beams, Journal of Modern Optics, vol.45, issue.1, pp.17-21, 1998.
DOI : 10.1364/JOSAA.6.001748

P. Saari and K. Reivelt, -Shaped Propagation-Invariant Localized Light Waves, Physical Review Letters, vol.79, issue.21, 1997.
DOI : 10.1103/PhysRevLett.79.4135
URL : https://hal.archives-ouvertes.fr/lirmm-00601553

F. Bonaretti, D. Faccio, M. Clerici, J. Biegert, and P. D. Trapani, Spatiotemporal Amplitude and Phase Retrieval of Bessel-X pulses using a Hartmann-Shack Sensor, Optics Express, vol.17, issue.12, pp.9804-9809, 2009.
DOI : 10.1364/OE.17.009804

P. Bowlan, H. Valtna-lukner, M. Lõhmus, P. Piksarv, P. Saari et al., Measuring the spatiotemporal field of ultrashort Bessel-X pulses, Optics Letters, vol.34, issue.15, p.2276, 2009.
DOI : 10.1364/OL.34.002276

O. E. Martinez, Pulse distortions in tilted pulse schemes for ultrashort pulses, Optics Communications, vol.59, issue.3, pp.229-23210, 1986.
DOI : 10.1016/0030-4018(86)90290-7

S. Akturk, X. Gu, E. Zeek, and R. Trebino, Pulse-front tilt caused by spatial and temporal chirp, Optics Express, vol.12, issue.19, pp.4399-4410, 2004.
DOI : 10.1364/OPEX.12.004399

S. Akturk, X. Gu, P. Gabolde, and R. Trebino, The general theory of first-order spatio-temporal distortions of Gaussian pulses and beams, Optics Express, vol.13, issue.21, pp.8642-8661, 2005.
DOI : 10.1364/OPEX.13.008642.m002

I. Alexeev, K. Y. Kim, and H. M. Milchberg, Measurement of the Superluminal Group Velocity of an Ultrashort Bessel Beam Pulse, Physical Review Letters, vol.88, issue.7, p.73901, 2002.
DOI : 10.1103/PhysRevLett.88.073901

C. J. Zapata-rodríguez and M. A. , Porras, X-wave bullets with negative group velocity in vacuum, Opt. Lett, issue.23, pp.31-3532, 2006.

M. A. Porras and P. D. Trapani, Localized and stationary light wave modes in dispersive media, Physical Review E, vol.69, issue.6, p.66606, 2004.
DOI : 10.1103/PhysRevE.69.066606

S. Longhi, Localized subluminal envelope pulses in dispersive media, Optics Letters, vol.29, issue.2, pp.147-149, 2004.
DOI : 10.1364/OL.29.000147

S. Malaguti and S. Trillo, Envelope localized waves of the conical type in linear normally dispersive media, Physical Review A, vol.79, issue.6, p.63803, 2009.
DOI : 10.1103/PhysRevA.79.063803

J. H. Mcleod, The Axicon: A New Type of Optical Element, Journal of the Optical Society of America, vol.44, issue.8, pp.592-592, 1954.
DOI : 10.1364/JOSA.44.000592

J. H. Mcleod, Axicons and Their Uses, Journal of the Optical Society of America, vol.50, issue.2, pp.166-166, 1960.
DOI : 10.1364/JOSA.50.000166

A. Vasara, J. Turunen, and A. T. Friberg, Realization of general nondiffracting beams with computer-generated holograms, Journal of the Optical Society of America A, vol.6, issue.11, pp.1748-1754, 1989.
DOI : 10.1364/JOSAA.6.001748

J. A. Davis, E. Carcole, and D. M. Cottrell, Nondiffracting interference patterns generated with programmable spatial light modulators, Applied Optics, vol.35, issue.4, pp.599-602, 1996.
DOI : 10.1364/AO.35.000599

J. Leach, G. M. Gibson, M. J. Padgett, E. Esposito, G. Mcconnell et al., Generation of achromatic Bessel beams using a compensated spatial light modulator, Optics Express, vol.14, issue.12, pp.5581-5587, 2006.
DOI : 10.1364/OE.14.005581.m003

M. Clerici, O. Jedrkiewicz, E. Rubino, D. Faccio, L. Tartara et al., Generation and amplification of pulsed Bessel beams by seeding an optical parametric amplifier, Optics Letters, vol.33, issue.20, pp.2296-2298, 2008.
DOI : 10.1364/OL.33.002296

M. Kolesik, E. M. Wright, and J. V. Moloney, Dynamic Nonlinear X Waves for Femtosecond Pulse Propagation in Water, Physical Review Letters, vol.92, issue.25, p.253901, 2004.
DOI : 10.1103/PhysRevLett.92.253901

D. Faccio, M. Porras, A. Dubietis, F. Bragheri, A. Couairon et al., Conical Emission, Pulse Splitting, and X-Wave Parametric Amplification in Nonlinear Dynamics of Ultrashort Light Pulses, Physical Review Letters, vol.96, issue.19, p.193901, 2006.
DOI : 10.1103/PhysRevLett.96.193901

A. Couairon, E. Gai?auskas, D. Faccio, A. Dubietis, and P. D. Trapani, Nonlinear X-wave formation by femtosecond filamentation in Kerr media, Physical Review E, vol.73, issue.1, p.16608, 2006.
DOI : 10.1103/PhysRevE.73.016608

D. Faccio, A. Couairon, and P. D. Trapani, Conical Waves, Filaments and Nonlinear Filamentation Optics, Aracne Editrice, 2007.

A. Averchi, D. Faccio, E. Rubino, H. Valtna-lukner, P. Panagiotopoulos et al., Linear X-wave generation by means of cross-phase modulation in Kerr media, Optics Letters, vol.33, issue.24, pp.3028-3030, 2008.
DOI : 10.1364/OL.33.003028

D. Faccio, A. Averchi, A. Couairon, M. Kolesik, J. V. Moloney et al., Spatio-temporal reshaping and X Wave dynamics in optical filaments., Optics Express, vol.15, issue.20, pp.13077-13095, 2007.
DOI : 10.1364/OE.15.013077

A. Braun, G. Korn, X. Liu, D. Du, J. Squier et al., Self-channeling of high-peak-power femtosecond laser pulses in air, Optics Letters, vol.20, issue.1, pp.73-75, 1995.
DOI : 10.1364/OL.20.000073

E. Garmire, R. Y. Chiao, and C. H. Townes, Dynamics and Characteristics of the Self-Trapping of Intense Light Beams, Physical Review Letters, vol.16, issue.9, pp.347-349, 1966.
DOI : 10.1103/PhysRevLett.16.347

V. V. Korobkin and R. V. Serov, Investigation of Self-focusing of Neodymium-laser Radiation, JETP Lett, vol.6, issue.5, pp.135-137, 1967.

J. Reintjes, R. L. Carman, and F. Shimizu, Study of Self-Focusing and Self-Phase-Modulation in the Picosecond-Time Regime, Physical Review A, vol.8, issue.3, pp.1486-1503, 1973.
DOI : 10.1103/PhysRevA.8.1486

S. Tzortzakis, L. Sudrie, M. Franco, B. Prade, A. Mysyrowicz et al., Self-Guided Propagation of Ultrashort IR Laser Pulses in Fused Silica, Physical Review Letters, vol.87, issue.21, p.213902, 2001.
DOI : 10.1103/PhysRevLett.87.213902
URL : https://hal.archives-ouvertes.fr/hal-00463709

M. Kolesik and J. V. Moloney, Self-healing femtosecond light filaments, Optics Letters, vol.29, issue.6, pp.590-592, 2004.
DOI : 10.1364/OL.29.000590

A. Dubietis, E. Ku?inskas, G. Tamo?auskas, E. Gai?auskas, M. A. Porras et al., Self-reconstruction of light filaments, Optics Letters, vol.29, issue.24, pp.2893-2895, 2004.
DOI : 10.1364/OL.29.002893

W. Liu, J. Gravel, F. Théberge, A. Becker, and S. L. Chin, Background reservoir: its crucial role for long-distance propagation of femtosecond laser pulses in air, Applied Physics B, vol.93, issue.7, pp.857-860, 2005.
DOI : 10.1007/s00340-005-1805-6

A. Dubietis, E. Gai?auskas, G. Tamo?auskas, and P. D. Trapani, Light Filaments without Self-Channeling, Physical Review Letters, vol.92, issue.25, p.253903, 2004.
DOI : 10.1103/PhysRevLett.92.253903
URL : http://hdl.handle.net/11383/1491808

F. Courvoisier, V. Boutou, J. Kasparian, E. Salmon, G. Méjean et al., Ultraintense light filaments transmitted through clouds, Applied Physics Letters, vol.83, issue.2, pp.213-215, 2003.
DOI : 10.1063/1.1592615

G. Méjean, J. Kasparian, J. Yu, E. Salmon, S. Frey et al., Multifilamentation transmission through fog, Physical Review E, vol.72, issue.2, p.26611, 2005.
DOI : 10.1103/PhysRevE.72.026611

J. M. Dudley and J. R. Taylor, Supercontinuum generation in optical fibers, 2010.
DOI : 10.1017/CBO9780511750465
URL : https://hal.archives-ouvertes.fr/hal-00476072

J. Kasparian and J. Wolf, Physics and applications of atmospheric nonlinear optics and filamentation, Optics Express, vol.16, issue.1, pp.466-493, 2008.
DOI : 10.1364/OE.16.000466

C. P. Hauri, W. Kornelis, F. W. Helbing, A. Heinrich, A. Couairon et al., Generation of intense, carrier-envelope phase-locked few-cycle laser pulses through filamentation, Applied Physics B, vol.86, issue.6, pp.673-677, 2004.
DOI : 10.1007/s00340-004-1650-z
URL : https://hal.archives-ouvertes.fr/hal-00463640

A. Za¨?rza¨?r, A. Guandalini, F. Schapper, M. Holler, J. Biegert et al., Spatio-temporal characterization of few-cycle pulses obtained by filamentation, Optics Express, vol.15, issue.9, pp.5394-5404, 2007.
DOI : 10.1364/OE.15.005394

J. Kasparian, P. Béjot, J. Wolf, and J. M. Dudley, Optical rogue wave statistics in laser filamentation, Optics Express, vol.17, issue.14, pp.12070-12075, 2009.
DOI : 10.1364/OE.17.012070
URL : https://hal.archives-ouvertes.fr/hal-00453042

D. Majus, V. Jukna, G. Valiulis, D. Faccio, and A. Dubietis, Spatiotemporal rogue events in femtosecond filamentation, Physical Review A, vol.83, issue.2, p.25802, 2011.
DOI : 10.1103/PhysRevA.83.025802

K. Dysthe, H. E. Krogstad, and P. Müller, Oceanic Rogue Waves, Annual Review of Fluid Mechanics, vol.40, issue.1, pp.287-310, 2008.
DOI : 10.1146/annurev.fluid.40.111406.102203

D. R. Solli, C. Ropers, P. Koonath, and B. Jalali, Optical rogue waves, Nature, vol.24, issue.7172, pp.1054-1057, 2007.
DOI : 10.1038/nature06402

M. Erkintalo, G. Genty, and J. M. Dudley, Rogue-wave-like characteristics in femtosecond supercontinuum generation, Optics Letters, vol.34, issue.16, pp.2468-2470, 2009.
DOI : 10.1364/OL.34.002468
URL : https://hal.archives-ouvertes.fr/hal-00453750

P. , D. Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz et al., Spontaneously generated Xshaped light bullets, Phys. Rev. Lett, vol.91, issue.9, p.93904, 2003.

S. L. Chin, S. A. Hosseini, W. Liu, Q. Luo, F. Théberge et al., The propagation of powerful femtosecond laser pulses in opticalmedia: physics, applications, and new challenges, Canadian Journal of Physics, vol.83, issue.9, pp.863-905, 2005.
DOI : 10.1139/p05-048

E. T. Nibbering, P. F. Curley, G. Grillon, B. S. Prade, M. A. Franco et al., Conical emission from self-guided femtosecond pulses in air, Optics Letters, vol.21, issue.1, pp.62-65, 1996.
DOI : 10.1364/OL.21.000062
URL : https://hal.archives-ouvertes.fr/hal-00465610

A. Couairon, J. Biegert, C. P. Hauri, W. Kornelis, F. W. Helbing et al., Self-compression of ultra-short laser pulses down to one optical cycle by filamentation, Journal of Modern Optics, vol.93, issue.1-2, pp.75-85, 2006.
DOI : 10.1364/OL.28.000281
URL : https://hal.archives-ouvertes.fr/hal-00463608

M. B. Gaarde and A. Couairon, Intensity Spikes in Laser Filamentation: Diagnostics and Application, Physical Review Letters, vol.103, issue.4, p.43901, 2009.
DOI : 10.1103/PhysRevLett.103.043901

B. Prade, M. Franco, A. Mysyrowicz, A. Couairon, H. Buersing et al., Spatial mode cleaning by femtosecond filamentation in air, Optics Letters, vol.31, issue.17, pp.31-2601, 2006.
DOI : 10.1364/OL.31.002601
URL : https://hal.archives-ouvertes.fr/hal-00463606

X. M. Zhao, J. Diels, C. Y. Wang, and J. M. Elizondo, Femtosecond ultraviolet laser pulse induced lightning discharges in gases, IEEE Journal of Quantum Electronics, vol.31, issue.3, pp.599-612, 1995.
DOI : 10.1109/3.364418

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

G. Méchain, A. Mysyrowicz, M. Depiesse, and M. Pellet, A virtual antenna produced in air by intense femtosecond laser pulses In Technologies for Optical Countermeasures II; Femtosecond Phenomena II; and Passive Millimetre-Wave and Terahertz Imaging II, p.59890, 2005.

S. Tzortzakis, G. Méchain, G. Patalano, Y. André, B. Prade et al., Coherent subterahertz radiation from femtosecond infrared filaments in air, Optics Letters, vol.27, issue.21, pp.1944-1946, 2002.
DOI : 10.1364/OL.27.001944
URL : https://hal.archives-ouvertes.fr/hal-00463674

C. D. Amico, A. Houard, M. Franco, B. Prade, and A. Mysyrowicz, Coherent and incoherent radial THz radiation emission from femtosecond filaments in air, Optics Express, vol.15, issue.23, pp.15274-15279, 2007.
DOI : 10.1364/OE.15.015274
URL : https://hal.archives-ouvertes.fr/hal-00454588

C. D. Amico, A. Houard, S. Akturk, Y. Liu, J. L. Bloas et al., Forward THz radiation emission by femtosecond filamentation in gases: theory and experiment, New Journal of Physics, vol.10, issue.1, pp.1301510-1088, 2008.
DOI : 10.1088/1367-2630/10/1/013015
URL : https://hal.archives-ouvertes.fr/hal-00454582

R. Y. Chiao, E. Garmire, and C. H. Townes, Self-Trapping of Optical Beams, Physical Review Letters, vol.13, issue.15, pp.479-482, 1964.
DOI : 10.1103/PhysRevLett.13.479

Y. R. Shen, The Principles of Nonlinear Optics, 1984.

A. Brodeur, C. Y. Chien, F. A. Ilkov, S. L. Chin, O. G. Kosareva et al., Moving focus in the propagation of ultrashort laser pulses in air, Optics Letters, vol.22, issue.5, pp.304-306, 1997.
DOI : 10.1364/OL.22.000304

A. Couairon, Light bullets from femtosecond filamentation, The European Physical Journal D - Atomic, Molecular and Optical Physics, vol.27, issue.2, pp.159-167, 2003.
DOI : 10.1140/epjd/e2003-00255-9

D. Faccio, P. Di-trapani, S. Minardi, A. Bramati, F. Bragheri et al., Far-field spectral characterization of conical emission and filamentation in Kerr media, Journal of the Optical Society of America B, vol.22, issue.4, pp.862-869, 2005.
DOI : 10.1364/JOSAB.22.000862

D. Faccio, A. Matijosius, A. Dubietis, R. Piskarskas, A. Varanavi?ius et al., Near- and far-field evolution of laser pulse filaments in Kerr media, Physical Review E, vol.72, issue.3, p.37601, 2005.
DOI : 10.1103/PhysRevE.72.037601

M. A. Porras, A. Parola, D. Faccio, A. Dubietis, and P. D. Trapani, Nonlinear Unbalanced Bessel Beams: Stationary Conical Waves Supported by Nonlinear Losses, Physical Review Letters, vol.93, issue.15, p.153902, 2004.
DOI : 10.1103/PhysRevLett.93.153902

C. Conti, Generation and nonlinear dynamics of X waves of the Schr??dinger equation, Physical Review E, vol.70, issue.4, p.46613, 2004.
DOI : 10.1103/PhysRevE.70.046613

M. A. Porras, A. Parola, and P. D. Trapani, Nonlinear unbalanced O waves: nonsolitary, conical light bullets in nonlinear dissipative media, Journal of the Optical Society of America B, vol.22, issue.7, pp.1406-1413, 2005.
DOI : 10.1364/JOSAB.22.001406

P. Bowlan, P. Gabolde, A. Shreenath, K. Mcgresham, R. Trebino et al., Crossed-beam spectral interferometry: a simple, high-spectral-resolution method for completely characterizing complex ultrashort pulses in real time, Optics Express, vol.14, issue.24, pp.11892-11900, 2006.
DOI : 10.1364/OE.14.011892

P. Bowlan, U. Fuchs, R. Trebino, and U. Zeitner, Measuring the spatiotemporal electric field of tightly focused ultrashort pulses with sub-micron spatial resolution, Optics Express, vol.16, issue.18, pp.13663-13675, 2008.
DOI : 10.1364/OE.16.013663.m001

H. S. Green and E. Wolf, A Scalar Representation of Electromagnetic Fields, Proceedings of the Physical Society. Section A, vol.66, issue.12, p.1129, 1953.
DOI : 10.1088/0370-1298/66/12/308

]. P. Roman, A Scalar Representation of Electromagnetic Fields: III, Proceedings of the Physical Society, vol.74, issue.3, p.281, 1959.
DOI : 10.1088/0370-1328/74/3/306

L. Allen, M. J. Padgett, and M. Babiker, IV The Orbital Angular Momentum of Light, Prog. Opt, vol.39, issue.08, pp.291-37210, 1999.
DOI : 10.1016/S0079-6638(08)70391-3

H. Sztul and R. Alfano, The Poynting vector and angular momentum of Airy beams, Optics Express, vol.16, issue.13, pp.9411-9416, 2008.
DOI : 10.1364/OE.16.009411

A. Dubietis, A. Couairon, E. Ku?inskas, G. Tamo?auskas, E. Gai?auskas et al., Measurement and calculation of nonlinear absorption associated with femtosecond filaments in water, Applied Physics B, vol.71, issue.3, pp.439-446, 2006.
DOI : 10.1007/s00340-006-2249-3

P. Polesana, M. Franco, A. Couairon, D. Faccio, and P. D. Trapani, Filamentation in Kerr media from pulsed Bessel beams, Physical Review A, vol.77, issue.4, p.43814, 2008.
DOI : 10.1103/PhysRevA.77.043814
URL : https://hal.archives-ouvertes.fr/hal-00558943

A. G. Van-engen, S. A. Diddams, and T. S. Clement, Dispersion measurements of water with white-light interferometry, Applied Optics, vol.37, issue.24, pp.5679-5686, 1998.
DOI : 10.1364/AO.37.005679

S. Malaguti, G. Bellanca, and S. Trillo, Two-dimensional envelope localized waves in the anomalous dispersion regime, Optics Letters, vol.33, issue.10, pp.1117-1119, 2008.
DOI : 10.1364/OL.33.001117

R. Trebino and D. J. Kane, Using phase retrieval to measure the intensity and phase of ultrashort pulses: frequency-resolved optical gating, Journal of the Optical Society of America A, vol.10, issue.5, pp.1101-1111, 1993.
DOI : 10.1364/JOSAA.10.001101

B. C. Platt and R. V. Shack, Lenticular Hartmann-screen, Opt. Sci. Cent. Newsl, vol.5, pp.15-16, 1971.

E. Rubino, D. Faccio, L. Tartara, P. K. Bates, O. Chalus et al., Spatiotemporal amplitude and phase retrieval of space-time coupled ultrashort pulses using the Shackled-FROG technique, Optics Letters, vol.34, issue.24, pp.3854-3856, 2009.
DOI : 10.1364/OL.34.003854

C. P. Hauri, J. Biegert, U. Keller, B. Schaefer, K. Mann et al., Validity of wave-front reconstruction and propagation of ultrabroadband pulses measured with a Hartmann???Shack sensor, Optics Letters, vol.30, issue.12, pp.1563-1565, 2005.
DOI : 10.1364/OL.30.001563

M. A. Potenza, S. Minardi, J. Trull, G. Blasi, D. Salerno et al., Three dimensional imaging of short pulses, Optics Communications, vol.229, issue.1-6, pp.381-390, 2004.
DOI : 10.1016/j.optcom.2003.10.029

J. R. Fienup, Phase retrieval algorithms: a comparison, Applied Optics, vol.21, issue.15, pp.2758-2769, 1982.
DOI : 10.1364/AO.21.002758

C. Conti, S. Trillo, P. Di-trapani, G. Valiulis, A. Piskarskas et al., Nonlinear Electromagnetic X Waves, Physical Review Letters, vol.90, issue.17, p.170406, 2003.
DOI : 10.1103/PhysRevLett.90.170406

A. Bideau-mehu, Y. Guern, R. Abjean, and A. Johannin-gilles, Measurement of refractive indices of neon, argon, krypton and xenon in the 253.7???140.4 nm wavelength range. Dispersion relations and estimated oscillator strengths of the resonance lines, Journal of Quantitative Spectroscopy and Radiative Transfer, vol.25, issue.5, pp.395-40210, 1981.
DOI : 10.1016/0022-4073(81)90057-1

D. P. Shelton, Nonlinear-optical susceptibilities of gases measured at 1064 and 1319 nm, Physical Review A, vol.42, issue.5, pp.2578-2592, 1990.
DOI : 10.1103/PhysRevA.42.2578

A. Couairon, H. S. Chakraborty, and M. B. Gaarde, From single-cycle self-compressed filaments to isolated attosecond pulses in noble gases, Physical Review A, vol.77, issue.5, p.53814, 2008.
DOI : 10.1103/PhysRevA.77.053814

A. L. Gaeta, Catastrophic Collapse of Ultrashort Pulses, Physical Review Letters, vol.84, issue.16, pp.3582-3585, 2000.
DOI : 10.1103/PhysRevLett.84.3582

F. Remacle, R. Kienberger, F. Krausz, and R. Levine, On the feasibility of an ultrafast purely electronic reorganization in lithium hydride, Chemical Physics, vol.338, issue.2-3, pp.342-347, 2007.
DOI : 10.1016/j.chemphys.2007.05.012

F. Remacle, M. Nest, and R. D. Levine, Laser Steered Ultrafast Quantum Dynamics of Electrons in LiH, Physical Review Letters, vol.99, issue.18, p.183902, 2007.
DOI : 10.1103/PhysRevLett.99.183902

R. M. Bowman, J. J. Gerdy, G. Roberts, and A. H. , Femtosecond real-time probing of reactions. 6. A joint experimental and theoretical study of bismuth dimer dissociation, The Journal of Physical Chemistry, vol.95, issue.12, pp.4635-4647, 1991.
DOI : 10.1021/j100165a011

T. Nagy and P. Simon, Generation of 200-??J, sub-25-fs deep-UV pulses using a noble-gas-filled hollow fiber, Optics Letters, vol.34, issue.15, pp.2300-2302, 2009.
DOI : 10.1364/OL.34.002300

S. Backus, J. Peatross, Z. Zeek, A. Rundquist, G. Taft et al., 16-fs, 1-??J ultraviolet pulses generated by third-harmonic conversion in air, Optics Letters, vol.21, issue.9, pp.665-667, 1996.
DOI : 10.1364/OL.21.000665

U. Graf, M. Fieß, M. Schultze, R. Kienberger, F. Krausz et al., Intense few-cycle light pulses in the deep ultraviolet, Optics Express, vol.16, issue.23, pp.18956-18963, 2008.
DOI : 10.1364/OE.16.018956

F. Reiter, U. Graf, M. Schultze, W. Schweinberger, H. Schröder et al., Generation of sub-3 fs pulses in the deep ultraviolet, Optics Letters, vol.35, issue.13, pp.2248-2250, 2010.
DOI : 10.1364/OL.35.002248

C. G. Durfee, I. , S. Backus, H. C. Kapteyn, and M. M. Murnane, Intense 8-fs pulse generation in the deep ultraviolet, Optics Letters, vol.24, issue.10, pp.697-699, 1999.
DOI : 10.1364/OL.24.000697

T. Fuji, T. Suzuki, E. E. Serebryannikov, and A. Zheltikov, Experimental and theoretical investigation of a multicolor filament, Physical Review A, vol.80, issue.6, p.63822, 2009.
DOI : 10.1103/PhysRevA.80.063822

S. Trushin, W. Fuss, K. Kosma, and W. Schmid, Widely tunable ultraviolet sub-30-fs pulses from supercontinuum for transient spectroscopy, Applied Physics B, vol.74, issue.1, pp.1-5, 2006.
DOI : 10.1007/s00340-006-2416-6

S. A. Trushin, K. Kosma, W. Fuß, and W. E. Schmid, Sub-10-fs supercontinuum radiation generated by filamentation of few-cycle 800 nm pulses in argon, Optics Letters, vol.32, issue.16, pp.2432-2434, 2007.
DOI : 10.1364/OL.32.002432

F. Reiter, U. Graf, E. E. Serebryannikov, W. Schweinberger, M. Fiess et al., Route to Attosecond Nonlinear Spectroscopy, Physical Review Letters, vol.105, issue.24, p.243902, 2010.
DOI : 10.1103/PhysRevLett.105.243902

E. E. Serebryannikov, E. Goulielmakis, and A. M. Zheltikov, Generation of supercontinuum compressible to single-cycle pulse widths in an ionizing gas, New Journal of Physics, vol.10, issue.9, p.93001, 2008.
DOI : 10.1088/1367-2630/10/9/093001

Z. L. Horváth, J. Vinkó, Z. Bor, and D. Der-linde, Acceleration of femtosecond pulses to superluminal velocities by Gouy phase shift, Applied Physics B: Lasers and Optics, vol.63, issue.5, pp.481-484, 1996.
DOI : 10.1007/s003400050112

M. B. Gaarde and K. J. Schafer, Generating single attosecond pulses via spatial filtering, Optics Letters, vol.31, issue.21, pp.31-3188, 2006.
DOI : 10.1364/OL.31.003188

C. A. Haworth, L. E. Chipperfield, J. S. Robinson, P. L. Knight, J. P. Marangos et al., Half-cycle cutoffs in harmonic spectra and robust carrier-envelope phase retrieval, Nature Physics, vol.23, issue.1, pp.52-57, 2007.
DOI : 10.1007/s00340-006-2390-z

M. J. Abel, T. Pfeifer, P. M. Nagel, W. Boutu, M. J. Bell et al., Isolated attosecond pulses from ionization gating of high-harmonic emission, Chemical Physics, vol.366, issue.1-3, pp.9-14, 2009.
DOI : 10.1016/j.chemphys.2009.09.016

M. B. Gaarde, Time-frequency representations of high order harmonics, Optics Express, vol.8, issue.10, pp.529-536, 2001.
DOI : 10.1364/OE.8.000529

. Ph, A. L. Balcou, and . Huillier, Phase-matching effects in strong-field harmonic generation, Phys. Rev. A, vol.47, issue.2, pp.1447-1459, 1993.

C. Altucci, R. Bruzzese, C. De-lisio, M. Nisoli, E. Priori et al., Phase-matching analysis of high-order harmonics generated by truncated Bessel beams in the sub-10-fs regime, Physical Review A, vol.68, issue.3, p.33806, 2003.
DOI : 10.1103/PhysRevA.68.033806

. Ph, P. Balcou, A. L. Salì-eres, M. Huillier, and . Lewenstein, Generalized phase-matching conditions for high harmonics: The role of field-gradient forces, Phys. Rev. A, vol.55, issue.4, pp.3204-3210, 1997.

D. S. Steingrube, E. Schulz, T. Binhammer, M. B. Gaarde, A. Couairon et al., High-order harmonic generation directly from a filament, New Journal of Physics, vol.13, issue.4, p.43022, 2011.
DOI : 10.1088/1367-2630/13/4/043022

J. C. Painter, M. Adams, N. Brimhall, E. Christensen, G. Giraud et al., Direct observation of laser filamentation in high-order harmonic generation, Optics Letters, vol.31, issue.23, pp.3471-3473, 2006.
DOI : 10.1364/OL.31.003471

H. S. Chakraborty, M. B. Gaarde, and A. Couairon, Single attosecond pulses from high harmonics driven by self-compressed filaments, Optics Letters, vol.31, issue.24, pp.31-3662, 2006.
DOI : 10.1364/OL.31.003662

J. Itatani, J. Levesque, D. Zeidler, H. Niikura, H. Pépin et al., Tomographic imaging of molecular orbitals, Nature, vol.37, issue.7019, pp.867-871, 2004.
DOI : 10.1103/PhysRevLett.84.5082

F. Leone and . Krausz, Real-time observation of valence electron motion, Nature, vol.466, issue.7307, pp.739-743, 2010.

U. Heinzmann and F. Krausz, Time-resolved atomic innershell spectroscopy, Nature, vol.419, issue.6909, pp.803-807, 2002.

A. L. Cavalieri, N. Müller, . Th, V. S. Uphues, A. Yakovlev et al., Attosecond spectroscopy in condensed matter, Nature, vol.45, issue.7165, pp.1029-1032, 2007.
DOI : 10.1038/nature06229

A. Za¨?rza¨?r, M. Holler, A. Guandalini, F. Schapper, J. Biegert et al., Quantum Path Interferences in High-Order Harmonic Generation, Physical Review Letters, vol.100, issue.14, p.143902, 2008.
DOI : 10.1103/PhysRevLett.100.143902

H. Xu, H. Xiong, Z. Zeng, Y. Fu, J. Yao et al., Fine interference fringes formed in high-order harmonic spectra generated by infrared driving laser pulses, Physical Review A, vol.78, issue.3, p.33841, 2008.
DOI : 10.1103/PhysRevA.78.033841

E. Brunetti, R. Issac, and D. A. Jaroszynski, Quantum path contribution to high-order harmonic spectra, Physical Review A, vol.77, issue.2, p.23422, 2008.
DOI : 10.1103/PhysRevA.77.023422

M. Holler, A. Za¨?rza¨?r, F. Schapper, T. Auguste, E. Cormier et al., Ionization effects on spectral signatures of quantum-path interference in high-harmonic generation, Optics Express, vol.17, issue.7, pp.5716-5722, 2009.
DOI : 10.1364/OE.17.005716

F. Schapper, M. Holler, T. Auguste, A. Za¨?rza¨?r, M. Weger et al., Spatial fingerprint of quantum path interferences in high order harmonic generation, Optics Express, vol.18, issue.3, pp.2987-2994, 2010.
DOI : 10.1364/OE.18.002987.m001

P. D. Maker, R. W. Terhune, M. Nisenoff, and C. M. Savage, Effects of Dispersion and Focusing on the Production of Optical Harmonics, Physical Review Letters, vol.8, issue.1, pp.21-22, 1962.
DOI : 10.1103/PhysRevLett.8.21

S. Kazamias, D. Douillet, F. Weihe, C. Valentin, A. Rousse et al., Global Optimization of High Harmonic Generation, Physical Review Letters, vol.90, issue.19, p.193901, 2003.
DOI : 10.1103/PhysRevLett.90.193901
URL : https://hal.archives-ouvertes.fr/hal-00523023

C. M. Heyl, J. Güdde, U. Höfer, and A. L. Huillier, Spectrally Resolved Maker Fringes in High-Order Harmonic Generation, Physical Review Letters, vol.107, issue.3
DOI : 10.1103/PhysRevLett.107.033903

M. V. Berry and N. L. Balazs, Nonspreading wave packets, American Journal of Physics, vol.47, issue.3, pp.264-267, 1979.
DOI : 10.1119/1.11855

A. Chong, W. H. Renninger, D. N. Christodoulides, and F. W. Wise, Airy???Bessel wave packets as versatile linear light bullets, Nature Photonics, vol.13, issue.2, pp.103-106, 2009.
DOI : 10.1038/nphoton.2009.264

G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, Ballistic dynamics of Airy beams, Optics Letters, vol.33, issue.3, pp.207-209, 2008.
DOI : 10.1364/OL.33.000207

J. Baumgartl, M. Mazilu, and K. Dholakia, Optically mediated particle clearing using Airy wavepackets, Nature Photonics, vol.11, issue.11, pp.675-678, 2008.
DOI : 10.1103/PhysRevA.44.6677

P. Polynkin, M. Kolesik, J. V. Moloney, G. A. Siviloglou, and D. N. Christodoulides, Curved Plasma Channel Generation Using Ultraintense Airy Beams, Science, vol.324, issue.5924, pp.229-232, 2009.
DOI : 10.1126/science.1169544

P. Polesana, A. Dubietis, M. A. Porras, E. Ku?inskas, D. Faccio et al., Near-field dynamics of ultrashort pulsed Bessel beams in media with Kerr nonlinearity, Physical Review E, vol.73, issue.5, p.56612, 2006.
DOI : 10.1103/PhysRevE.73.056612

J. A. Giannini and R. I. Joseph, The role of the second Painlev?? transcendent in nonlinear optics, Physics Letters A, vol.141, issue.8-9, pp.417-41910, 1989.
DOI : 10.1016/0375-9601(89)90860-8

I. Kaminer, M. Segev, and D. N. Christodoulides, Self-Accelerating Self-Trapped Optical Beams, Physical Review Letters, vol.106, issue.21, p.213903, 2011.
DOI : 10.1103/PhysRevLett.106.213903

K. D. Moll, A. L. Gaeta, and G. Fibich, Self-Similar Optical Wave Collapse: Observation of the Townes Profile, Physical Review Letters, vol.90, issue.20, p.203902, 2003.
DOI : 10.1103/PhysRevLett.90.203902

P. Polynkin, M. Kolesik, and J. Moloney, Filamentation of Femtosecond Laser Airy Beams in Water, Physical Review Letters, vol.103, issue.12, p.123902, 2009.
DOI : 10.1103/PhysRevLett.103.123902

N. N. Akhmediev and A. , Ankiewicz, Solitons, Nonlinear Pulses and Beams, 1997.

D. G. Papazoglou, S. Suntsov, D. Abdollahpour, and S. Tzortzakis, Tunable intense Airy beams and tailored femtosecond laser filaments, Physical Review A, vol.81, issue.6, p.61807, 2010.
DOI : 10.1103/PhysRevA.81.061807

F. Courvoisier, P. Lacourt, M. Jacquot, M. K. Bhuyan, L. Furfaro et al., Surface nanoprocessing with nondiffracting femtosecond Bessel beams, Optics Letters, vol.34, issue.20, pp.3163-3165, 2009.
DOI : 10.1364/OL.34.003163
URL : https://hal.archives-ouvertes.fr/hal-00453776

M. K. Bhuyan, F. Courvoisier, P. Lacourt, M. Jacquot, L. Furfaro et al., High aspect ratio taper-free microchannel fabrication using femtosecond Bessel beams, Optics Express, vol.18, issue.2, pp.566-574, 2010.
DOI : 10.1364/OE.18.000566
URL : https://hal.archives-ouvertes.fr/hal-00452594

E. Greenfield, M. Segev, W. Walasik, and O. Raz, Accelerating Light Beams along Arbitrary Convex Trajectories, Physical Review Letters, vol.106, issue.21, p.213902, 2011.
DOI : 10.1103/PhysRevLett.106.213902

L. Froehly, F. Courvoisier, A. Mathis, M. Jacquot, L. Furfaro et al., Arbitrary accelerating micron-scale caustic beams in two and three dimensions, Optics Express, vol.19, issue.17, pp.16455-16465, 2011.
DOI : 10.1364/OE.19.016455
URL : https://hal.archives-ouvertes.fr/hal-00619145