Abstract

We investigate both experimentally and theoretically the mechanisms driving the co-filamentation of two ultrashort laser pulses at 800 and 400 nm in Argon. The cross-Kerr lens and cross-phase modulation between the two filaments of different colors bridging both the continuum spectra and the plasma channels induced by the individual pulses. This dual-color filamentation also results in the simultaneous generation of two few-cycle pulses at both 800 and 400 nm, providing a potential way to generate attosecond pulses.

© 2008 Optical Society of America

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Abel, M.J.

T. Pfeifer, M. Gallmann, M.J. Abel, D.M Neumark, and S.R Leone. Single attosecond pulse generation in the multicycle-driver regime by adding a weak second-harmonic field. Opt. Lett.31, 975–977, (2006).
[Crossref] [PubMed]

Ackermann, R.

P. Bejot, J. Kasparian, E. Salmon, R. Ackermann, and J. P. Wolf. Spectral correlation and noise reduction in laser filaments. Appl. Phys.B 87, 1–4, (2007).

R. Ackermann, E. Salmon, N. Lascoux, J. Kasparian, P. Rohwetter, K. Stelmaszczyk, S. H. Li, A. Lindinger, L. Woste, P. Bejot, L. Bonacina, and J. P. Wolf. Optimal control of filamentation in air. Appl. Phys. Lett.89, 171117, (2006).
[Crossref]

J. Kasparian, R. Ackermann, Y.-B. Andre, G. Méchain, G. Mejean, B. Prade, P. Rohwetter, E. Salmon, K. Stelmaszczyk, J. Yu, A. Mysyrowicz, R. Sauerbrey, L. Woste, and J.-P. Wolf. Electric events synchronized with laser filaments in thunderclouds. Opt. Express16, 5757–5763, (2008).
[Crossref] [PubMed]

Andre, Y. B.

M. Rodriguez, R. Sauerbrey, H. Wille, L. Woste, T. Fujii, Y. B. Andre, A. Mysyrowicz, L. Klingbeil, K. Rethmeier, W. Kalkner, J. Kasparian, E. Salmon, J. Yu, and J. P. Wolf. Triggering and guiding megavolt discharges by use of laser-induced ionized filaments. Opt. Lett.27, 772–774, (2002).
[Crossref]

J. Kasparian, M. Rodriguez, G. Mejean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y. B. Andre, A. Mysyrowicz, R. Sauerbrey, J. P. Wolf, and L. Woste. White-light filaments for atmospheric analysis. Science301, 61–64, (2003).
[Crossref] [PubMed]

Andre, Y.-B.

J. Kasparian, R. Ackermann, Y.-B. Andre, G. Méchain, G. Mejean, B. Prade, P. Rohwetter, E. Salmon, K. Stelmaszczyk, J. Yu, A. Mysyrowicz, R. Sauerbrey, L. Woste, and J.-P. Wolf. Electric events synchronized with laser filaments in thunderclouds. Opt. Express16, 5757–5763, (2008).
[Crossref] [PubMed]

Becker, A.

W. Liu, F. Gravel, J, F. Theberge, A. Becker, and S.L. Chin. Background reservoir: its crucial role for longdistance propagation of femtosecond laser pulses in air. Appl. Phys. B.80, 857–860, (2005).
[Crossref]

M. Kolesik, E.M. Wright, A. Becker, and J.V. Moloney. Simulation of third-harmonic and supercontinuum generation for femtosecond pulses in air. Appl. Phys. B.85, 531–538, (2006).
[Crossref]

Bejot, P.

R. Ackermann, E. Salmon, N. Lascoux, J. Kasparian, P. Rohwetter, K. Stelmaszczyk, S. H. Li, A. Lindinger, L. Woste, P. Bejot, L. Bonacina, and J. P. Wolf. Optimal control of filamentation in air. Appl. Phys. Lett.89, 171117, (2006).
[Crossref]

P. Bejot, J. Kasparian, E. Salmon, R. Ackermann, and J. P. Wolf. Spectral correlation and noise reduction in laser filaments. Appl. Phys.B 87, 1–4, (2007).

Béjot, P.

P. Béjot, C. Bonnet, V. Boutou, and J.-P. Wolf. Laser noise compresison by filamentation at 400 nm in argon. Opt. Express15, 13295–13309, (2007).
[Crossref] [PubMed]

Bergé, L.

S. Skupin, L. Bergé, U. Peschel, F. Lederer, G. Mejean, J. Yu, J. Kasparian, E. Salmon, J. P. Wolf, M. Rodriguez, L. Woste, R. Bourayou, and R. Sauerbrey. Filamentation of femtosecond light pulses in the air: Turbulent cells versus long-range clusters. Phys. Rev.E 70, 046602, (2004).

L. Bergé, S. Skupin, R. Nuter, J. Kasparian, and J.-P. Wolf. Ultrashort filaments of light in weakly ionized, optically transparent media. Rep. Prog. Phys.70, 1633–1713, (2007).
[Crossref]

A. Couairon, S. Tzortzakis, L. Bergé, M. Franco, B. Prade, and A. Mysyrowicz. Infrared femtosecond light filaments in air: simulations and experiments. J. Opt. Soc. Am.B 19, 1117–1131, (2002).

Biegert, J.

A. Zair, A. Guandalini, F. Schapper, M. Holler, J. Biegert, L. Gallmann, A. Couairon, M. Franco, A. Mysyrowicz, and U. Keller. Spatio-temporal characterization of few-cycle pulses obtained by filamentation. Opt. Express15, 5394–5404, (2007).
[Crossref] [PubMed]

C.P. Hauri, A. Guandalini, P. Eckle, W. Kornelis, J. Biegert, and U. Keller. Generation of intense few-cycle laser pulses through filamentation-parameter dependence. Opt. Express13, 7541–7547, (2005).
[Crossref] [PubMed]

C.P. Hauri, W. Kornelis, F.W. Helbing, A. Heinrich, A. Couairon, A. Mysyrowicz, J. Biegert, and U. Keller. Generation of intense, carrier-envelope phase-locked few-cycle laser pulses through filamentation. Appl. Phys. B.79, 673–677, (2004).
[Crossref]

A. Couairon, J. Biegert, C.P. Hauri, W. Kornelis, F.W. Helbing, U. Keller, and A. Mysyrowicz. Self-compression of ultra-short laser pulses down to one optical cycle by filamentation. J. Mod. Opt.53, 75–85, (2006).
[Crossref]

A. Couairon, M. Franco, A. Mysyrowicz, J. Biegert, and U. Keller. Pulse self-compression to the single-cycle limit by filamentation in a gas with a pressure gradient. Opt. Lett.30, 2657–2659, (2005).
[Crossref] [PubMed]

Bonacina, L.

R. Ackermann, E. Salmon, N. Lascoux, J. Kasparian, P. Rohwetter, K. Stelmaszczyk, S. H. Li, A. Lindinger, L. Woste, P. Bejot, L. Bonacina, and J. P. Wolf. Optimal control of filamentation in air. Appl. Phys. Lett.89, 171117, (2006).
[Crossref]

Bonnaud, G.

A. Chiron, B. Lamouroux, R. Lange, J. F. Ripoche, M. Franco, B. Prade, G. Bonnaud, G. Riazuelo, and A. Mysyrowicz. Numerical simulations of the nonlinear propagation of femtosecond optical pulses in gases. European Physical JournalD 6, 383–396, (1999).

Bonnet, C.

P. Béjot, C. Bonnet, V. Boutou, and J.-P. Wolf. Laser noise compresison by filamentation at 400 nm in argon. Opt. Express15, 13295–13309, (2007).
[Crossref] [PubMed]

Bourayou, R.

S. Skupin, L. Bergé, U. Peschel, F. Lederer, G. Mejean, J. Yu, J. Kasparian, E. Salmon, J. P. Wolf, M. Rodriguez, L. Woste, R. Bourayou, and R. Sauerbrey. Filamentation of femtosecond light pulses in the air: Turbulent cells versus long-range clusters. Phys. Rev.E 70, 046602, (2004).

J. Kasparian, M. Rodriguez, G. Mejean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y. B. Andre, A. Mysyrowicz, R. Sauerbrey, J. P. Wolf, and L. Woste. White-light filaments for atmospheric analysis. Science301, 61–64, (2003).
[Crossref] [PubMed]

Boutou, V.

P. Béjot, C. Bonnet, V. Boutou, and J.-P. Wolf. Laser noise compresison by filamentation at 400 nm in argon. Opt. Express15, 13295–13309, (2007).
[Crossref] [PubMed]

Brabec, T.

M. Hentschel, R. Kienberger, Ch. Spielmann, G. A. Reider, N. Milosevic, T. Brabec, P. Corkum, U. Heinzmann, M. Drescher, and F. Krausz. Attosecond metrology. Nature (London)414, 509–513, (2001).
[Crossref]

Brixner, T.

T. Brixner, N. H. Damrauer, P. Niklaus, and G. Gerber. Photoselective adaptive femtosecond quantum control in the liquid phase. Nature (London)414, 57–60, (2001).
[Crossref]

Chakraborty, H.S.

H.S. Chakraborty, M.B. Gaarde, and A. Couairon. Single attosecond pulses from high harmonics driven by self-compressed filaments. Opt. Lett.31, 3662–3664, (2006).
[Crossref] [PubMed]

Chen, X.

X. Chen, X. Li, J. Liu, P. Wei, X. Ge, R. Li, and Z. Xu. Generation of 5 fs, 0.7 mJ pulses at 1 KHz through cascade filamentation. Opt. Lett.32, 2402–2404, (2007).
[Crossref] [PubMed]

Cheng, Y.

Z. Zeng, Y. Cheng, X. Song, R. Li, and Z. Xu. Generation of an extreme ultraviolet supercontinuum in a two-color laser field. Phys. Rev. Lett.98, 203901, (2007).
[Crossref] [PubMed]

Chin, S.L.

W. Liu, F. Gravel, J, F. Theberge, A. Becker, and S.L. Chin. Background reservoir: its crucial role for longdistance propagation of femtosecond laser pulses in air. Appl. Phys. B.80, 857–860, (2005).
[Crossref]

Chiron, A.

A. Chiron, B. Lamouroux, R. Lange, J. F. Ripoche, M. Franco, B. Prade, G. Bonnaud, G. Riazuelo, and A. Mysyrowicz. Numerical simulations of the nonlinear propagation of femtosecond optical pulses in gases. European Physical JournalD 6, 383–396, (1999).

Corkum, P.

M. Hentschel, R. Kienberger, Ch. Spielmann, G. A. Reider, N. Milosevic, T. Brabec, P. Corkum, U. Heinzmann, M. Drescher, and F. Krausz. Attosecond metrology. Nature (London)414, 509–513, (2001).
[Crossref]

Couairon, A

A Couairon, G. Méchain, S. Tzortzakis, M. Franco, B. Lamouroux, B. Prade, and A. Mysyrowicz. Propagation of twin laser pulses in air and concatenation of plasma strings produced by femtosecond infrared filaments. Opt. Comm.225, 177–192, (2003).
[Crossref]

Couairon, A.

A. Couairon, S. Tzortzakis, L. Bergé, M. Franco, B. Prade, and A. Mysyrowicz. Infrared femtosecond light filaments in air: simulations and experiments. J. Opt. Soc. Am.B 19, 1117–1131, (2002).

H.S. Chakraborty, M.B. Gaarde, and A. Couairon. Single attosecond pulses from high harmonics driven by self-compressed filaments. Opt. Lett.31, 3662–3664, (2006).
[Crossref] [PubMed]

A. Couairon and A. Mysyrowicz. Femtosecond filamentation in transparent media. Phys. Rep.44, 47–189, (2007).
[Crossref]

A. Zair, A. Guandalini, F. Schapper, M. Holler, J. Biegert, L. Gallmann, A. Couairon, M. Franco, A. Mysyrowicz, and U. Keller. Spatio-temporal characterization of few-cycle pulses obtained by filamentation. Opt. Express15, 5394–5404, (2007).
[Crossref] [PubMed]

A. Couairon, M. Franco, A. Mysyrowicz, J. Biegert, and U. Keller. Pulse self-compression to the single-cycle limit by filamentation in a gas with a pressure gradient. Opt. Lett.30, 2657–2659, (2005).
[Crossref] [PubMed]

A. Couairon, J. Biegert, C.P. Hauri, W. Kornelis, F.W. Helbing, U. Keller, and A. Mysyrowicz. Self-compression of ultra-short laser pulses down to one optical cycle by filamentation. J. Mod. Opt.53, 75–85, (2006).
[Crossref]

C.P. Hauri, W. Kornelis, F.W. Helbing, A. Heinrich, A. Couairon, A. Mysyrowicz, J. Biegert, and U. Keller. Generation of intense, carrier-envelope phase-locked few-cycle laser pulses through filamentation. Appl. Phys. B.79, 673–677, (2004).
[Crossref]

Damrauer, N. H.

T. Brixner, N. H. Damrauer, P. Niklaus, and G. Gerber. Photoselective adaptive femtosecond quantum control in the liquid phase. Nature (London)414, 57–60, (2001).
[Crossref]

Diels, J.-C.

J. Scharz, P. Rambo, and J.-C. Diels. Ultraviolet filamentation in air. Optics Communication180, 383–390, (2000).
[Crossref]

Drescher, M.

M. Hentschel, R. Kienberger, Ch. Spielmann, G. A. Reider, N. Milosevic, T. Brabec, P. Corkum, U. Heinzmann, M. Drescher, and F. Krausz. Attosecond metrology. Nature (London)414, 509–513, (2001).
[Crossref]

Eckle, P.

C.P. Hauri, A. Guandalini, P. Eckle, W. Kornelis, J. Biegert, and U. Keller. Generation of intense few-cycle laser pulses through filamentation-parameter dependence. Opt. Express13, 7541–7547, (2005).
[Crossref] [PubMed]

Ehrhardt, H.

H. Ehrhardt, Kh. Hesselba, K. Jung, E. Schubert, and K. Willmann. Electron-impact ionization of argon - measurements of triple differential cross-sections. J. Phys.B 7, 69–78, (1974).

Eyring, S.

D. Walter, S. Eyring, J. Lobhreier, R. Spitzenpfeil, and C. Spielmann. Spatial optimization of filaments. Appl. Phys. B.88, 175–178, (2007).
[Crossref]

Fibich, G.

G. Fibich and B. Ilan. Self-focusing of elliptic beams: an example of the failure of the aberrationless approximation. J. Opt. Soc. Am.B 17, 1749–1758, (2000).

Fischer, D.J.

E.R. Peck and D.J. Fischer. Dispersion of argon. J. Opt. Soc. Am.54, 1362–1364, (1964).
[Crossref]

Flannery, B.P.

W.H. Press, B.P. Flannery, S.A. Teukolsky, and W.T. Vetterling. Numerical recipies. Cambridge University Press, Cambridge Numerical Recipies, (1989).

Franco, M.

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R. Ackermann, E. Salmon, N. Lascoux, J. Kasparian, P. Rohwetter, K. Stelmaszczyk, S. H. Li, A. Lindinger, L. Woste, P. Bejot, L. Bonacina, and J. P. Wolf. Optimal control of filamentation in air. Appl. Phys. Lett.89, 171117, (2006).
[Crossref]

M. Rodriguez, R. Sauerbrey, H. Wille, L. Woste, T. Fujii, Y. B. Andre, A. Mysyrowicz, L. Klingbeil, K. Rethmeier, W. Kalkner, J. Kasparian, E. Salmon, J. Yu, and J. P. Wolf. Triggering and guiding megavolt discharges by use of laser-induced ionized filaments. Opt. Lett.27, 772–774, (2002).
[Crossref]

H. Wille, M. Rodriguez, J. Kasparian, D. Mondelain, J. Yu, A. Mysyrowicz, R. Sauerbrey, J. P. Wolf, and L. Woste. Teramobile: A mobile femtosecond-terawatt laser and detection system. Eur. Phys. J.: Appl. Phys.20, 183–190, (2002).
[Crossref]

S. Skupin, L. Bergé, U. Peschel, F. Lederer, G. Mejean, J. Yu, J. Kasparian, E. Salmon, J. P. Wolf, M. Rodriguez, L. Woste, R. Bourayou, and R. Sauerbrey. Filamentation of femtosecond light pulses in the air: Turbulent cells versus long-range clusters. Phys. Rev.E 70, 046602, (2004).

P. Bejot, J. Kasparian, E. Salmon, R. Ackermann, and J. P. Wolf. Spectral correlation and noise reduction in laser filaments. Appl. Phys.B 87, 1–4, (2007).

J. Kasparian, M. Rodriguez, G. Mejean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y. B. Andre, A. Mysyrowicz, R. Sauerbrey, J. P. Wolf, and L. Woste. White-light filaments for atmospheric analysis. Science301, 61–64, (2003).
[Crossref] [PubMed]

Wolf, J.-P.

L. Bergé, S. Skupin, R. Nuter, J. Kasparian, and J.-P. Wolf. Ultrashort filaments of light in weakly ionized, optically transparent media. Rep. Prog. Phys.70, 1633–1713, (2007).
[Crossref]

J. Kasparian and J.-P. Wolf. Physics and applications of atmospheric nonlinear optics and filamentation. Opt. Express16, 466–493, (2008).
[Crossref] [PubMed]

P. Béjot, C. Bonnet, V. Boutou, and J.-P. Wolf. Laser noise compresison by filamentation at 400 nm in argon. Opt. Express15, 13295–13309, (2007).
[Crossref] [PubMed]

J. Kasparian, R. Ackermann, Y.-B. Andre, G. Méchain, G. Mejean, B. Prade, P. Rohwetter, E. Salmon, K. Stelmaszczyk, J. Yu, A. Mysyrowicz, R. Sauerbrey, L. Woste, and J.-P. Wolf. Electric events synchronized with laser filaments in thunderclouds. Opt. Express16, 5757–5763, (2008).
[Crossref] [PubMed]

Woste, L.

J. Kasparian, R. Ackermann, Y.-B. Andre, G. Méchain, G. Mejean, B. Prade, P. Rohwetter, E. Salmon, K. Stelmaszczyk, J. Yu, A. Mysyrowicz, R. Sauerbrey, L. Woste, and J.-P. Wolf. Electric events synchronized with laser filaments in thunderclouds. Opt. Express16, 5757–5763, (2008).
[Crossref] [PubMed]

M. Rodriguez, R. Sauerbrey, H. Wille, L. Woste, T. Fujii, Y. B. Andre, A. Mysyrowicz, L. Klingbeil, K. Rethmeier, W. Kalkner, J. Kasparian, E. Salmon, J. Yu, and J. P. Wolf. Triggering and guiding megavolt discharges by use of laser-induced ionized filaments. Opt. Lett.27, 772–774, (2002).
[Crossref]

R. Ackermann, E. Salmon, N. Lascoux, J. Kasparian, P. Rohwetter, K. Stelmaszczyk, S. H. Li, A. Lindinger, L. Woste, P. Bejot, L. Bonacina, and J. P. Wolf. Optimal control of filamentation in air. Appl. Phys. Lett.89, 171117, (2006).
[Crossref]

S. Skupin, L. Bergé, U. Peschel, F. Lederer, G. Mejean, J. Yu, J. Kasparian, E. Salmon, J. P. Wolf, M. Rodriguez, L. Woste, R. Bourayou, and R. Sauerbrey. Filamentation of femtosecond light pulses in the air: Turbulent cells versus long-range clusters. Phys. Rev.E 70, 046602, (2004).

H. Wille, M. Rodriguez, J. Kasparian, D. Mondelain, J. Yu, A. Mysyrowicz, R. Sauerbrey, J. P. Wolf, and L. Woste. Teramobile: A mobile femtosecond-terawatt laser and detection system. Eur. Phys. J.: Appl. Phys.20, 183–190, (2002).
[Crossref]

J. Kasparian, M. Rodriguez, G. Mejean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y. B. Andre, A. Mysyrowicz, R. Sauerbrey, J. P. Wolf, and L. Woste. White-light filaments for atmospheric analysis. Science301, 61–64, (2003).
[Crossref] [PubMed]

Wright, E. M.

M. Mlejnek, E. M. Wright, and J. V. Moloney. Femtosecond pulse propagation in argon: A pressure dependence study. Phys. Rev.E 58, 4903–4910, (1998).

Wright, E.M.

M. Kolesik, E.M. Wright, A. Becker, and J.V. Moloney. Simulation of third-harmonic and supercontinuum generation for femtosecond pulses in air. Appl. Phys. B.85, 531–538, (2006).
[Crossref]

Xu, Z.

Z. Zeng, Y. Cheng, X. Song, R. Li, and Z. Xu. Generation of an extreme ultraviolet supercontinuum in a two-color laser field. Phys. Rev. Lett.98, 203901, (2007).
[Crossref] [PubMed]

X. Chen, X. Li, J. Liu, P. Wei, X. Ge, R. Li, and Z. Xu. Generation of 5 fs, 0.7 mJ pulses at 1 KHz through cascade filamentation. Opt. Lett.32, 2402–2404, (2007).
[Crossref] [PubMed]

Yamane, K.

E. Matsubara, K. Yamane, T. Sekikawa, and M. Yamashita. Generation of 2.6 fs optical pulses using induced phase modulation in a gas-filled hollow fiber. J. Opt. Soc. Am.B 24, 985–989, (2007).

Yamashita, M.

E. Matsubara, K. Yamane, T. Sekikawa, and M. Yamashita. Generation of 2.6 fs optical pulses using induced phase modulation in a gas-filled hollow fiber. J. Opt. Soc. Am.B 24, 985–989, (2007).

N. Karasawa, R. Morita, H. Shigekawa, and M. Yamashita. Generation of intense ultrabroadband optical pulses by induced phase modulation in an argon-filled single-mode hollow waveguide. Opt. Lett.25, 183–185, (2000).
[Crossref]

Yu, J.

M. Rodriguez, R. Sauerbrey, H. Wille, L. Woste, T. Fujii, Y. B. Andre, A. Mysyrowicz, L. Klingbeil, K. Rethmeier, W. Kalkner, J. Kasparian, E. Salmon, J. Yu, and J. P. Wolf. Triggering and guiding megavolt discharges by use of laser-induced ionized filaments. Opt. Lett.27, 772–774, (2002).
[Crossref]

J. Kasparian, R. Ackermann, Y.-B. Andre, G. Méchain, G. Mejean, B. Prade, P. Rohwetter, E. Salmon, K. Stelmaszczyk, J. Yu, A. Mysyrowicz, R. Sauerbrey, L. Woste, and J.-P. Wolf. Electric events synchronized with laser filaments in thunderclouds. Opt. Express16, 5757–5763, (2008).
[Crossref] [PubMed]

H. Wille, M. Rodriguez, J. Kasparian, D. Mondelain, J. Yu, A. Mysyrowicz, R. Sauerbrey, J. P. Wolf, and L. Woste. Teramobile: A mobile femtosecond-terawatt laser and detection system. Eur. Phys. J.: Appl. Phys.20, 183–190, (2002).
[Crossref]

S. Skupin, L. Bergé, U. Peschel, F. Lederer, G. Mejean, J. Yu, J. Kasparian, E. Salmon, J. P. Wolf, M. Rodriguez, L. Woste, R. Bourayou, and R. Sauerbrey. Filamentation of femtosecond light pulses in the air: Turbulent cells versus long-range clusters. Phys. Rev.E 70, 046602, (2004).

J. Kasparian, M. Rodriguez, G. Mejean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y. B. Andre, A. Mysyrowicz, R. Sauerbrey, J. P. Wolf, and L. Woste. White-light filaments for atmospheric analysis. Science301, 61–64, (2003).
[Crossref] [PubMed]

Zair, A.

A. Zair, A. Guandalini, F. Schapper, M. Holler, J. Biegert, L. Gallmann, A. Couairon, M. Franco, A. Mysyrowicz, and U. Keller. Spatio-temporal characterization of few-cycle pulses obtained by filamentation. Opt. Express15, 5394–5404, (2007).
[Crossref] [PubMed]

Zamith, S.

S. Zamith, Y. Ni, A. Gurtler, L.D. Noordam, H.G Muller, and M.J.J Vrakking. Control of atomic ionization by two-color few-cycle pulses. Opt. Lett.29, 2303–2305, (2004).
[Crossref] [PubMed]

Zeng, Z.

Z. Zeng, Y. Cheng, X. Song, R. Li, and Z. Xu. Generation of an extreme ultraviolet supercontinuum in a two-color laser field. Phys. Rev. Lett.98, 203901, (2007).
[Crossref] [PubMed]

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J. Kasparian, M. Rodriguez, G. Mejean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y. B. Andre, A. Mysyrowicz, R. Sauerbrey, J. P. Wolf, and L. Woste. White-light filaments for atmospheric analysis. Science301, 61–64, (2003).
[Crossref] [PubMed]

A. Couairon and A. Mysyrowicz. Femtosecond filamentation in transparent media. Phys. Rep.44, 47–189, (2007).
[Crossref]

L. Bergé, S. Skupin, R. Nuter, J. Kasparian, and J.-P. Wolf. Ultrashort filaments of light in weakly ionized, optically transparent media. Rep. Prog. Phys.70, 1633–1713, (2007).
[Crossref]

J. Kasparian and J.-P. Wolf. Physics and applications of atmospheric nonlinear optics and filamentation. Opt. Express16, 466–493, (2008).
[Crossref] [PubMed]

T. Fuji, T. Horio, and T. Suzuki. Generation of 12 fs deep-ultraviolet pulses by four-wave mixing through filamentation in neon gas. Opt. Lett.32, 2481–2483, (2007).
[Crossref] [PubMed]

A. Zair, A. Guandalini, F. Schapper, M. Holler, J. Biegert, L. Gallmann, A. Couairon, M. Franco, A. Mysyrowicz, and U. Keller. Spatio-temporal characterization of few-cycle pulses obtained by filamentation. Opt. Express15, 5394–5404, (2007).
[Crossref] [PubMed]

S.A Trushin, K. Kosma, W. Fuss, and E. Schmid. Sub-10-fs supercontinuum radiation generated by filamentation of few-cycle 800 nm pulses in argon. Opt. Lett.32, 2432–2434, (2007).
[Crossref] [PubMed]

X. Chen, X. Li, J. Liu, P. Wei, X. Ge, R. Li, and Z. Xu. Generation of 5 fs, 0.7 mJ pulses at 1 KHz through cascade filamentation. Opt. Lett.32, 2402–2404, (2007).
[Crossref] [PubMed]

T. Fuji and T. Suzuki. Generation of sub-two-cycle mid-infrared pulses by four-wave mixing through filamentation in air. Opt. Lett.32, 3330–3332, (2007).
[Crossref] [PubMed]

C.P. Hauri, W. Kornelis, F.W. Helbing, A. Heinrich, A. Couairon, A. Mysyrowicz, J. Biegert, and U. Keller. Generation of intense, carrier-envelope phase-locked few-cycle laser pulses through filamentation. Appl. Phys. B.79, 673–677, (2004).
[Crossref]

A. Couairon, J. Biegert, C.P. Hauri, W. Kornelis, F.W. Helbing, U. Keller, and A. Mysyrowicz. Self-compression of ultra-short laser pulses down to one optical cycle by filamentation. J. Mod. Opt.53, 75–85, (2006).
[Crossref]

A. Couairon, M. Franco, A. Mysyrowicz, J. Biegert, and U. Keller. Pulse self-compression to the single-cycle limit by filamentation in a gas with a pressure gradient. Opt. Lett.30, 2657–2659, (2005).
[Crossref] [PubMed]

C.P. Hauri, A. Guandalini, P. Eckle, W. Kornelis, J. Biegert, and U. Keller. Generation of intense few-cycle laser pulses through filamentation-parameter dependence. Opt. Express13, 7541–7547, (2005).
[Crossref] [PubMed]

P. Bejot, J. Kasparian, E. Salmon, R. Ackermann, and J. P. Wolf. Spectral correlation and noise reduction in laser filaments. Appl. Phys.B 87, 1–4, (2007).

J. Scharz, P. Rambo, and J.-C. Diels. Ultraviolet filamentation in air. Optics Communication180, 383–390, (2000).
[Crossref]

P. Béjot, C. Bonnet, V. Boutou, and J.-P. Wolf. Laser noise compresison by filamentation at 400 nm in argon. Opt. Express15, 13295–13309, (2007).
[Crossref] [PubMed]

E. Matsubara, K. Yamane, T. Sekikawa, and M. Yamashita. Generation of 2.6 fs optical pulses using induced phase modulation in a gas-filled hollow fiber. J. Opt. Soc. Am.B 24, 985–989, (2007).

H. Wille, M. Rodriguez, J. Kasparian, D. Mondelain, J. Yu, A. Mysyrowicz, R. Sauerbrey, J. P. Wolf, and L. Woste. Teramobile: A mobile femtosecond-terawatt laser and detection system. Eur. Phys. J.: Appl. Phys.20, 183–190, (2002).
[Crossref]

S. Skupin, L. Bergé, U. Peschel, F. Lederer, G. Mejean, J. Yu, J. Kasparian, E. Salmon, J. P. Wolf, M. Rodriguez, L. Woste, R. Bourayou, and R. Sauerbrey. Filamentation of femtosecond light pulses in the air: Turbulent cells versus long-range clusters. Phys. Rev.E 70, 046602, (2004).

G. Fibich and B. Ilan. Self-focusing of elliptic beams: an example of the failure of the aberrationless approximation. J. Opt. Soc. Am.B 17, 1749–1758, (2000).

D. Walter, S. Eyring, J. Lobhreier, R. Spitzenpfeil, and C. Spielmann. Spatial optimization of filaments. Appl. Phys. B.88, 175–178, (2007).
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R. Ackermann, E. Salmon, N. Lascoux, J. Kasparian, P. Rohwetter, K. Stelmaszczyk, S. H. Li, A. Lindinger, L. Woste, P. Bejot, L. Bonacina, and J. P. Wolf. Optimal control of filamentation in air. Appl. Phys. Lett.89, 171117, (2006).
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M. Kolesik, D.E. Roskey, and J.V. Moloney Conditionnal femtosecond pulse collapse for white-light and plasma delivery to a controlled distance. Opt. Lett.32, 2753–2755, (2007).
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N. Karasawa, R. Morita, H. Shigekawa, and M. Yamashita. Generation of intense ultrabroadband optical pulses by induced phase modulation in an argon-filled single-mode hollow waveguide. Opt. Lett.25, 183–185, (2000).
[Crossref]

Z. Zeng, Y. Cheng, X. Song, R. Li, and Z. Xu. Generation of an extreme ultraviolet supercontinuum in a two-color laser field. Phys. Rev. Lett.98, 203901, (2007).
[Crossref] [PubMed]

S. Zamith, Y. Ni, A. Gurtler, L.D. Noordam, H.G Muller, and M.J.J Vrakking. Control of atomic ionization by two-color few-cycle pulses. Opt. Lett.29, 2303–2305, (2004).
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[Crossref]

J. Kasparian, R. Ackermann, Y.-B. Andre, G. Méchain, G. Mejean, B. Prade, P. Rohwetter, E. Salmon, K. Stelmaszczyk, J. Yu, A. Mysyrowicz, R. Sauerbrey, L. Woste, and J.-P. Wolf. Electric events synchronized with laser filaments in thunderclouds. Opt. Express16, 5757–5763, (2008).
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Figures (6)

Fig. 1.
Fig. 1.

Experimental setup. DCM: Dichroic mirror. HWP: Half-waveplate.

Fig. 2.
Fig. 2.

400 nm pulse spectrum as function of the relative delay between the pulses centered at 400 nm and 800 nm. The time delay is positive when the NIR pulse (R) is launched after the blue one (B). The spectrum at the bottom of each series corresponds to the B pulse alone. (a) Experimental results, integrated over 4 mm diameter; (b) Numerical simulations. The broader numerical spectrum stems from the consideration of the filament center only, where the broadening is strongest, as well as the non-perfect temporal and spatial profiles of the experimental pulse

Fig. 3.
Fig. 3.

(a) Experimentally observed influence of co-filamentation on the output spectrum of the supercontinuum. Co-filamentation broadens individual continuum spectra, especially in the blue region, and connects them into a continuum spanning 2 octaves (200 nm–800 nm). The peak at 266 nm originates from the χ (3) mixing 1 266 = 1 400 + 1 400 1 800

Fig. 4.
Fig. 4.

a) Experimental plasma channel length for several delays. For well adjusted delay, the two plasma channel are concatenated and form a longer plasma channel without any non-ionized region. Blue: B induced plasma channel. Red: R induced plasma channel. b) Theoretical on-axis plasma channel density for both individual filaments, co-propagating filaments, and collinear filaments without cross-Kerr coupling.

Fig. 5.
Fig. 5.

One- or two-color filamentation dynamic for the 400 nm (B) pulse. Left: B intensity for several distances when propagating alone. Right: B intensity for the same distances when the R filament copropagates

Fig. 6.
Fig. 6.

One- or two-color filamentation dynamic for the R pulse. Left: R intensity for several distances when propagating alone. Right: R intensity for the same distances when the B filament copropagates

Tables (2)

Tables Icon

Table 1. Physical parameters used in the model (p accounts for the relative gas pressure: p = P 1 bar )

Tables Icon

Table 2. Input parameters used in the model. The different focal length for the 800 nm (R) and 400 nm (B) pulses account for longitudinal chromatic aberration of the focusing length used in the experiments.

Equations (8)

Equations on this page are rendered with MathJax. Learn more.

z ε B = i 2 k B Δ 2 ε B i k B 2 t 2 ε B i Δ 1 v t ε B + i k B n B ( n 2 B ε B 2 + n c r o s s ε R 2 ) ε B
i k B 2 n B 2 ρ c B ρ ε B 1 2 σ 0 ρ ε B β B Κ B 2 ε B 2 Κ B 2 ε B
z ε R = i 2 k R Δ 2 ε R i k R 2 t 2 ε R             + i k R n R ( n 2 R ε R 2 + n cross ε B 2 ) ε R
i k R 2 n R 2 ρ c R ρ ε R 1 2 σ R ρ ε R β R K R 2 ε R 2 K R 2 ε R
t ρ = ( l = B , R σ Κ l ε l 2 Κ l ) ( 1 ρ ρ at ) + 1 U l = B , R σ l ρ ε l 2 α ρ 2
ε i ( r , t , 0 ) = 2 P in i π σ r i 2 · exp ( r 2 σ r i 2 t 2 τ i 2 + i k i r 2 2 f i )
ε R ( r , ω , 0 ) ε B ( r , ω , 0 ) · e x p ( i ω Δ t ) · e x p ( i C B 2 ω 2 )
ε R ( r , ω , 0 ) ε R ( r , ω , 0 ) · e x p ( i C R 2 ω 2 )

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