Abstract

We investigated the possibility of plasma-induced spectral broadening of high-energy ultrashort laser pulses in a helium-filled multipass cell (MPC) through a series of full numerical simulations of the extended nonlinear Schrödinger equation. It was found that the gas pressure must be set low so that the propagation dynamics can be controlled only by plasma defocusing. Simulations using 100mJ, 40fs laser pulses in the MPC, which is 6m long and has a mirror of 3.1m radius at each end, showed that if the gas pressure is set within the range of 40130Pa, then the relevant spectral broadening can be obtained after five passes, yielding compressed pulses of a 4.76.4fs width. The ratio of the energy of the compressed pulse to the output pulse is found to be within 58–88%.

© 2006 Optical Society of America

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  1. A. Couairon, J. Biegert, C. P. Hauri, W. Kornelis, F. W. Helbing, U. Keller, and A. Mysyrowicz, "Self filamentation of ultrashort laser pulses down to one optical cycle by filamentation," J. Opt. Soc. Am. B 53, 75-85 (2006).
  2. S. Champeaux and L. Berge, "Femtosecond pulse compression in pressure-gas cell," Phys. Rev. E 68, 066603 (2003).
    [CrossRef]
  3. Y. Oishi, A. Suda, K. Midorikawa, and F. Kannari, "Sub-10 fs, multi-millijoule laser system," Rev. Sci. Instrum. 76, 093114 (2005).
    [CrossRef]
  4. A. Suda, M. Hatayama, K. Nagasaka, and K. Midorikawa, "Generation of sub-10-fs, 5-mJ-optical pulses using a hollow fiber with a pressure gradient," Appl. Phys. Lett. 86, 111116 (2005).
    [CrossRef]
  5. Y. Tamaki, J. Itatani, Y. Nagata, M. Obara, and K. Midorikawa, "Highly efficient, phase-matched high-harmonic generation by a self-guided laser beam," Phys. Rev. Lett. 82, 1422-1425 (1999).
    [CrossRef]
  6. A. Paul, R. A. Bartels, R. Tobey, H. Green, S. Weiman, I. P. Christov, M. M. Murnane, H. C. Kapteyn, and S. Backus, "Quasi-phase-matched generation of coherent extreme-ultraviolet light," Nature 421, 51-54 (2003).
    [CrossRef] [PubMed]
  7. M. Nisoli, S. De Silvestri, and O. Svelto, "Generation of high energy 10 fs pulse by a new compression technique," Appl. Phys. Lett. 68, 2793-2795 (1996).
    [CrossRef]
  8. J. C. Diels and W. Rudolf, Ultrashort Laser Phenomena (Academic, 1996).
  9. M. Nurhuda, A. Suda, and K. Midorikawa, "Ionization-induced high order nonlinear susceptibility," Phys. Rev. A 66, 0418021 (2002).
    [CrossRef]
  10. M. Nurhuda, A. Suda, and K. Midorikawa, "Propagation dynamics of femtosecond laser pulses in argon," Phys. Rev. A 66, 023811 (2002).
    [CrossRef]
  11. A. L. Gaeta, "Catastrophic collapse of ultrashort pulses," Phys. Rev. Lett. 84, 3582-3585 (2000).
    [CrossRef] [PubMed]
  12. 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 cycles laser pulses through filamentation," Appl. Phys. B 79, 673-677 (2004).
    [CrossRef]
  13. 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]
  14. N. L. Wagner, E. A. Gibson, T. Popmintchev, I. P. Christov, M. M. Murnane, and H. C. Kapteyn, "Self-compression of ultrashort pulses through ionization-induced spatiotemporal reshaping," Phys. Rev. Lett. 93, 173902 (2004).
    [CrossRef] [PubMed]
  15. J. Faure, Y. Glinec, J. J. Santos, F. Ewald, J.-P. Rousseau, S. Kiselev, A. Pukhov, T. Hosokai, and V. Malka, "Observation of laser-pulse shortening in nonlinear plasma-waves," Phys. Rev. Lett. 95, 205003 (2005).
    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef]
  19. S. Tzortzakis, L. Bergé, A. Couairon, M. Franco, B. Prade, and A. Mysyrowics, "Breakup and fusion of self-guided femtosecond light pulses in air," Phys. Rev. Lett. 86, 5470-5473 (2001).
    [CrossRef] [PubMed]
  20. A. M. Perelemov, V. S. Popov, and M. V. Terent'ev, "Ionization of atoms in alternating electric field," Sov. Phys. JETP 23, 924-934 (2004).
  21. S. F. J. Larochelle, A. Talebpour, and S. L. Chin, "Coulomb effect in multiphoton ionization of rare-gas atom," J. Phys. B 31, 1215-1224 (1998).
    [CrossRef]
  22. A. E. Siegman, Lasers (University Science, 1986), pp. 626-673.

2006 (1)

A. Couairon, J. Biegert, C. P. Hauri, W. Kornelis, F. W. Helbing, U. Keller, and A. Mysyrowicz, "Self filamentation of ultrashort laser pulses down to one optical cycle by filamentation," J. Opt. Soc. Am. B 53, 75-85 (2006).

2005 (4)

Y. Oishi, A. Suda, K. Midorikawa, and F. Kannari, "Sub-10 fs, multi-millijoule laser system," Rev. Sci. Instrum. 76, 093114 (2005).
[CrossRef]

A. Suda, M. Hatayama, K. Nagasaka, and K. Midorikawa, "Generation of sub-10-fs, 5-mJ-optical pulses using a hollow fiber with a pressure gradient," Appl. Phys. Lett. 86, 111116 (2005).
[CrossRef]

J. Faure, Y. Glinec, J. J. Santos, F. Ewald, J.-P. Rousseau, S. Kiselev, A. Pukhov, T. Hosokai, and V. Malka, "Observation of laser-pulse shortening in nonlinear plasma-waves," Phys. Rev. Lett. 95, 205003 (2005).
[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]

2004 (3)

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 cycles laser pulses through filamentation," Appl. Phys. B 79, 673-677 (2004).
[CrossRef]

N. L. Wagner, E. A. Gibson, T. Popmintchev, I. P. Christov, M. M. Murnane, and H. C. Kapteyn, "Self-compression of ultrashort pulses through ionization-induced spatiotemporal reshaping," Phys. Rev. Lett. 93, 173902 (2004).
[CrossRef] [PubMed]

A. M. Perelemov, V. S. Popov, and M. V. Terent'ev, "Ionization of atoms in alternating electric field," Sov. Phys. JETP 23, 924-934 (2004).

2003 (2)

S. Champeaux and L. Berge, "Femtosecond pulse compression in pressure-gas cell," Phys. Rev. E 68, 066603 (2003).
[CrossRef]

A. Paul, R. A. Bartels, R. Tobey, H. Green, S. Weiman, I. P. Christov, M. M. Murnane, H. C. Kapteyn, and S. Backus, "Quasi-phase-matched generation of coherent extreme-ultraviolet light," Nature 421, 51-54 (2003).
[CrossRef] [PubMed]

2002 (2)

M. Nurhuda, A. Suda, and K. Midorikawa, "Ionization-induced high order nonlinear susceptibility," Phys. Rev. A 66, 0418021 (2002).
[CrossRef]

M. Nurhuda, A. Suda, and K. Midorikawa, "Propagation dynamics of femtosecond laser pulses in argon," Phys. Rev. A 66, 023811 (2002).
[CrossRef]

2001 (1)

S. Tzortzakis, L. Bergé, A. Couairon, M. Franco, B. Prade, and A. Mysyrowics, "Breakup and fusion of self-guided femtosecond light pulses in air," Phys. Rev. Lett. 86, 5470-5473 (2001).
[CrossRef] [PubMed]

2000 (1)

A. L. Gaeta, "Catastrophic collapse of ultrashort pulses," Phys. Rev. Lett. 84, 3582-3585 (2000).
[CrossRef] [PubMed]

1999 (1)

Y. Tamaki, J. Itatani, Y. Nagata, M. Obara, and K. Midorikawa, "Highly efficient, phase-matched high-harmonic generation by a self-guided laser beam," Phys. Rev. Lett. 82, 1422-1425 (1999).
[CrossRef]

1998 (2)

S. F. J. Larochelle, A. Talebpour, and S. L. Chin, "Coulomb effect in multiphoton ionization of rare-gas atom," J. Phys. B 31, 1215-1224 (1998).
[CrossRef]

M. Mlejnek, E. M. Wright, and J. V. Moloney, "Dynamic spatial replenishment of femtosecond pulses propagating in air," Opt. Lett. 23, 382-384 (1998).
[CrossRef]

1997 (1)

1996 (1)

M. Nisoli, S. De Silvestri, and O. Svelto, "Generation of high energy 10 fs pulse by a new compression technique," Appl. Phys. Lett. 68, 2793-2795 (1996).
[CrossRef]

Backus, S.

A. Paul, R. A. Bartels, R. Tobey, H. Green, S. Weiman, I. P. Christov, M. M. Murnane, H. C. Kapteyn, and S. Backus, "Quasi-phase-matched generation of coherent extreme-ultraviolet light," Nature 421, 51-54 (2003).
[CrossRef] [PubMed]

Bartels, R. A.

A. Paul, R. A. Bartels, R. Tobey, H. Green, S. Weiman, I. P. Christov, M. M. Murnane, H. C. Kapteyn, and S. Backus, "Quasi-phase-matched generation of coherent extreme-ultraviolet light," Nature 421, 51-54 (2003).
[CrossRef] [PubMed]

Berge, L.

S. Champeaux and L. Berge, "Femtosecond pulse compression in pressure-gas cell," Phys. Rev. E 68, 066603 (2003).
[CrossRef]

Bergé, L.

S. Tzortzakis, L. Bergé, A. Couairon, M. Franco, B. Prade, and A. Mysyrowics, "Breakup and fusion of self-guided femtosecond light pulses in air," Phys. Rev. Lett. 86, 5470-5473 (2001).
[CrossRef] [PubMed]

Biegert, J.

A. Couairon, J. Biegert, C. P. Hauri, W. Kornelis, F. W. Helbing, U. Keller, and A. Mysyrowicz, "Self filamentation of ultrashort laser pulses down to one optical cycle by filamentation," J. Opt. Soc. Am. B 53, 75-85 (2006).

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

Champeaux, S.

S. Champeaux and L. Berge, "Femtosecond pulse compression in pressure-gas cell," Phys. Rev. E 68, 066603 (2003).
[CrossRef]

Chin, S. L.

S. F. J. Larochelle, A. Talebpour, and S. L. Chin, "Coulomb effect in multiphoton ionization of rare-gas atom," J. Phys. B 31, 1215-1224 (1998).
[CrossRef]

Christov, I. P.

N. L. Wagner, E. A. Gibson, T. Popmintchev, I. P. Christov, M. M. Murnane, and H. C. Kapteyn, "Self-compression of ultrashort pulses through ionization-induced spatiotemporal reshaping," Phys. Rev. Lett. 93, 173902 (2004).
[CrossRef] [PubMed]

A. Paul, R. A. Bartels, R. Tobey, H. Green, S. Weiman, I. P. Christov, M. M. Murnane, H. C. Kapteyn, and S. Backus, "Quasi-phase-matched generation of coherent extreme-ultraviolet light," Nature 421, 51-54 (2003).
[CrossRef] [PubMed]

Couairon, A.

A. Couairon, J. Biegert, C. P. Hauri, W. Kornelis, F. W. Helbing, U. Keller, and A. Mysyrowicz, "Self filamentation of ultrashort laser pulses down to one optical cycle by filamentation," J. Opt. Soc. Am. B 53, 75-85 (2006).

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

S. Tzortzakis, L. Bergé, A. Couairon, M. Franco, B. Prade, and A. Mysyrowics, "Breakup and fusion of self-guided femtosecond light pulses in air," Phys. Rev. Lett. 86, 5470-5473 (2001).
[CrossRef] [PubMed]

De Silvestri, S.

M. Nisoli, S. De Silvestri, and O. Svelto, "Generation of high energy 10 fs pulse by a new compression technique," Appl. Phys. Lett. 68, 2793-2795 (1996).
[CrossRef]

Diels, J. C.

J. C. Diels and W. Rudolf, Ultrashort Laser Phenomena (Academic, 1996).

Ewald, F.

J. Faure, Y. Glinec, J. J. Santos, F. Ewald, J.-P. Rousseau, S. Kiselev, A. Pukhov, T. Hosokai, and V. Malka, "Observation of laser-pulse shortening in nonlinear plasma-waves," Phys. Rev. Lett. 95, 205003 (2005).
[CrossRef] [PubMed]

Faure, J.

J. Faure, Y. Glinec, J. J. Santos, F. Ewald, J.-P. Rousseau, S. Kiselev, A. Pukhov, T. Hosokai, and V. Malka, "Observation of laser-pulse shortening in nonlinear plasma-waves," Phys. Rev. Lett. 95, 205003 (2005).
[CrossRef] [PubMed]

Franco, M.

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]

S. Tzortzakis, L. Bergé, A. Couairon, M. Franco, B. Prade, and A. Mysyrowics, "Breakup and fusion of self-guided femtosecond light pulses in air," Phys. Rev. Lett. 86, 5470-5473 (2001).
[CrossRef] [PubMed]

Gaeta, A. L.

A. L. Gaeta, "Catastrophic collapse of ultrashort pulses," Phys. Rev. Lett. 84, 3582-3585 (2000).
[CrossRef] [PubMed]

Gibson, E. A.

N. L. Wagner, E. A. Gibson, T. Popmintchev, I. P. Christov, M. M. Murnane, and H. C. Kapteyn, "Self-compression of ultrashort pulses through ionization-induced spatiotemporal reshaping," Phys. Rev. Lett. 93, 173902 (2004).
[CrossRef] [PubMed]

Glinec, Y.

J. Faure, Y. Glinec, J. J. Santos, F. Ewald, J.-P. Rousseau, S. Kiselev, A. Pukhov, T. Hosokai, and V. Malka, "Observation of laser-pulse shortening in nonlinear plasma-waves," Phys. Rev. Lett. 95, 205003 (2005).
[CrossRef] [PubMed]

Green, H.

A. Paul, R. A. Bartels, R. Tobey, H. Green, S. Weiman, I. P. Christov, M. M. Murnane, H. C. Kapteyn, and S. Backus, "Quasi-phase-matched generation of coherent extreme-ultraviolet light," Nature 421, 51-54 (2003).
[CrossRef] [PubMed]

Hatayama, M.

A. Suda, M. Hatayama, K. Nagasaka, and K. Midorikawa, "Generation of sub-10-fs, 5-mJ-optical pulses using a hollow fiber with a pressure gradient," Appl. Phys. Lett. 86, 111116 (2005).
[CrossRef]

Hauri, C. P.

A. Couairon, J. Biegert, C. P. Hauri, W. Kornelis, F. W. Helbing, U. Keller, and A. Mysyrowicz, "Self filamentation of ultrashort laser pulses down to one optical cycle by filamentation," J. Opt. Soc. Am. B 53, 75-85 (2006).

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 cycles laser pulses through filamentation," Appl. Phys. B 79, 673-677 (2004).
[CrossRef]

Heinrich, A.

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 cycles laser pulses through filamentation," Appl. Phys. B 79, 673-677 (2004).
[CrossRef]

Helbing, F. W.

A. Couairon, J. Biegert, C. P. Hauri, W. Kornelis, F. W. Helbing, U. Keller, and A. Mysyrowicz, "Self filamentation of ultrashort laser pulses down to one optical cycle by filamentation," J. Opt. Soc. Am. B 53, 75-85 (2006).

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 cycles laser pulses through filamentation," Appl. Phys. B 79, 673-677 (2004).
[CrossRef]

Hosokai, T.

J. Faure, Y. Glinec, J. J. Santos, F. Ewald, J.-P. Rousseau, S. Kiselev, A. Pukhov, T. Hosokai, and V. Malka, "Observation of laser-pulse shortening in nonlinear plasma-waves," Phys. Rev. Lett. 95, 205003 (2005).
[CrossRef] [PubMed]

Itatani, J.

Y. Tamaki, J. Itatani, Y. Nagata, M. Obara, and K. Midorikawa, "Highly efficient, phase-matched high-harmonic generation by a self-guided laser beam," Phys. Rev. Lett. 82, 1422-1425 (1999).
[CrossRef]

Kannari, F.

Y. Oishi, A. Suda, K. Midorikawa, and F. Kannari, "Sub-10 fs, multi-millijoule laser system," Rev. Sci. Instrum. 76, 093114 (2005).
[CrossRef]

Kapteyn, H. C.

N. L. Wagner, E. A. Gibson, T. Popmintchev, I. P. Christov, M. M. Murnane, and H. C. Kapteyn, "Self-compression of ultrashort pulses through ionization-induced spatiotemporal reshaping," Phys. Rev. Lett. 93, 173902 (2004).
[CrossRef] [PubMed]

A. Paul, R. A. Bartels, R. Tobey, H. Green, S. Weiman, I. P. Christov, M. M. Murnane, H. C. Kapteyn, and S. Backus, "Quasi-phase-matched generation of coherent extreme-ultraviolet light," Nature 421, 51-54 (2003).
[CrossRef] [PubMed]

Keller, U.

A. Couairon, J. Biegert, C. P. Hauri, W. Kornelis, F. W. Helbing, U. Keller, and A. Mysyrowicz, "Self filamentation of ultrashort laser pulses down to one optical cycle by filamentation," J. Opt. Soc. Am. B 53, 75-85 (2006).

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

Kimura, S.

S. Kimura, Showa Optronics Co. Ltd., Tokyo, Japan (personal communication, 2005).

Kiselev, S.

J. Faure, Y. Glinec, J. J. Santos, F. Ewald, J.-P. Rousseau, S. Kiselev, A. Pukhov, T. Hosokai, and V. Malka, "Observation of laser-pulse shortening in nonlinear plasma-waves," Phys. Rev. Lett. 95, 205003 (2005).
[CrossRef] [PubMed]

Kornelis, W.

A. Couairon, J. Biegert, C. P. Hauri, W. Kornelis, F. W. Helbing, U. Keller, and A. Mysyrowicz, "Self filamentation of ultrashort laser pulses down to one optical cycle by filamentation," J. Opt. Soc. Am. B 53, 75-85 (2006).

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 cycles laser pulses through filamentation," Appl. Phys. B 79, 673-677 (2004).
[CrossRef]

Larochelle, S. F. J.

S. F. J. Larochelle, A. Talebpour, and S. L. Chin, "Coulomb effect in multiphoton ionization of rare-gas atom," J. Phys. B 31, 1215-1224 (1998).
[CrossRef]

Malka, V.

J. Faure, Y. Glinec, J. J. Santos, F. Ewald, J.-P. Rousseau, S. Kiselev, A. Pukhov, T. Hosokai, and V. Malka, "Observation of laser-pulse shortening in nonlinear plasma-waves," Phys. Rev. Lett. 95, 205003 (2005).
[CrossRef] [PubMed]

Midorikawa, K.

Y. Oishi, A. Suda, K. Midorikawa, and F. Kannari, "Sub-10 fs, multi-millijoule laser system," Rev. Sci. Instrum. 76, 093114 (2005).
[CrossRef]

A. Suda, M. Hatayama, K. Nagasaka, and K. Midorikawa, "Generation of sub-10-fs, 5-mJ-optical pulses using a hollow fiber with a pressure gradient," Appl. Phys. Lett. 86, 111116 (2005).
[CrossRef]

M. Nurhuda, A. Suda, and K. Midorikawa, "Propagation dynamics of femtosecond laser pulses in argon," Phys. Rev. A 66, 023811 (2002).
[CrossRef]

M. Nurhuda, A. Suda, and K. Midorikawa, "Ionization-induced high order nonlinear susceptibility," Phys. Rev. A 66, 0418021 (2002).
[CrossRef]

Y. Tamaki, J. Itatani, Y. Nagata, M. Obara, and K. Midorikawa, "Highly efficient, phase-matched high-harmonic generation by a self-guided laser beam," Phys. Rev. Lett. 82, 1422-1425 (1999).
[CrossRef]

Mlejnek, M.

Moloney, J. V.

Murnane, M. M.

N. L. Wagner, E. A. Gibson, T. Popmintchev, I. P. Christov, M. M. Murnane, and H. C. Kapteyn, "Self-compression of ultrashort pulses through ionization-induced spatiotemporal reshaping," Phys. Rev. Lett. 93, 173902 (2004).
[CrossRef] [PubMed]

A. Paul, R. A. Bartels, R. Tobey, H. Green, S. Weiman, I. P. Christov, M. M. Murnane, H. C. Kapteyn, and S. Backus, "Quasi-phase-matched generation of coherent extreme-ultraviolet light," Nature 421, 51-54 (2003).
[CrossRef] [PubMed]

Mysyrowics, A.

S. Tzortzakis, L. Bergé, A. Couairon, M. Franco, B. Prade, and A. Mysyrowics, "Breakup and fusion of self-guided femtosecond light pulses in air," Phys. Rev. Lett. 86, 5470-5473 (2001).
[CrossRef] [PubMed]

Mysyrowicz, A.

A. Couairon, J. Biegert, C. P. Hauri, W. Kornelis, F. W. Helbing, U. Keller, and A. Mysyrowicz, "Self filamentation of ultrashort laser pulses down to one optical cycle by filamentation," J. Opt. Soc. Am. B 53, 75-85 (2006).

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

Nagasaka, K.

A. Suda, M. Hatayama, K. Nagasaka, and K. Midorikawa, "Generation of sub-10-fs, 5-mJ-optical pulses using a hollow fiber with a pressure gradient," Appl. Phys. Lett. 86, 111116 (2005).
[CrossRef]

T. Takasaki, A. Suda, K. Sato, K. Nagasaka, and H. Tashiro, "Stable propagation of non-Gaussian beams in a multiple-pass cell," Appl. Opt. 36, 3413-3420 (1997).
[CrossRef] [PubMed]

Nagata, Y.

Y. Tamaki, J. Itatani, Y. Nagata, M. Obara, and K. Midorikawa, "Highly efficient, phase-matched high-harmonic generation by a self-guided laser beam," Phys. Rev. Lett. 82, 1422-1425 (1999).
[CrossRef]

Nisoli, M.

M. Nisoli, S. De Silvestri, and O. Svelto, "Generation of high energy 10 fs pulse by a new compression technique," Appl. Phys. Lett. 68, 2793-2795 (1996).
[CrossRef]

Nurhuda, M.

M. Nurhuda, A. Suda, and K. Midorikawa, "Propagation dynamics of femtosecond laser pulses in argon," Phys. Rev. A 66, 023811 (2002).
[CrossRef]

M. Nurhuda, A. Suda, and K. Midorikawa, "Ionization-induced high order nonlinear susceptibility," Phys. Rev. A 66, 0418021 (2002).
[CrossRef]

Obara, M.

Y. Tamaki, J. Itatani, Y. Nagata, M. Obara, and K. Midorikawa, "Highly efficient, phase-matched high-harmonic generation by a self-guided laser beam," Phys. Rev. Lett. 82, 1422-1425 (1999).
[CrossRef]

Oishi, Y.

Y. Oishi, A. Suda, K. Midorikawa, and F. Kannari, "Sub-10 fs, multi-millijoule laser system," Rev. Sci. Instrum. 76, 093114 (2005).
[CrossRef]

Paul, A.

A. Paul, R. A. Bartels, R. Tobey, H. Green, S. Weiman, I. P. Christov, M. M. Murnane, H. C. Kapteyn, and S. Backus, "Quasi-phase-matched generation of coherent extreme-ultraviolet light," Nature 421, 51-54 (2003).
[CrossRef] [PubMed]

Perelemov, A. M.

A. M. Perelemov, V. S. Popov, and M. V. Terent'ev, "Ionization of atoms in alternating electric field," Sov. Phys. JETP 23, 924-934 (2004).

Popmintchev, T.

N. L. Wagner, E. A. Gibson, T. Popmintchev, I. P. Christov, M. M. Murnane, and H. C. Kapteyn, "Self-compression of ultrashort pulses through ionization-induced spatiotemporal reshaping," Phys. Rev. Lett. 93, 173902 (2004).
[CrossRef] [PubMed]

Popov, V. S.

A. M. Perelemov, V. S. Popov, and M. V. Terent'ev, "Ionization of atoms in alternating electric field," Sov. Phys. JETP 23, 924-934 (2004).

Prade, B.

S. Tzortzakis, L. Bergé, A. Couairon, M. Franco, B. Prade, and A. Mysyrowics, "Breakup and fusion of self-guided femtosecond light pulses in air," Phys. Rev. Lett. 86, 5470-5473 (2001).
[CrossRef] [PubMed]

Pukhov, A.

J. Faure, Y. Glinec, J. J. Santos, F. Ewald, J.-P. Rousseau, S. Kiselev, A. Pukhov, T. Hosokai, and V. Malka, "Observation of laser-pulse shortening in nonlinear plasma-waves," Phys. Rev. Lett. 95, 205003 (2005).
[CrossRef] [PubMed]

Rousseau, J.-P.

J. Faure, Y. Glinec, J. J. Santos, F. Ewald, J.-P. Rousseau, S. Kiselev, A. Pukhov, T. Hosokai, and V. Malka, "Observation of laser-pulse shortening in nonlinear plasma-waves," Phys. Rev. Lett. 95, 205003 (2005).
[CrossRef] [PubMed]

Rudolf, W.

J. C. Diels and W. Rudolf, Ultrashort Laser Phenomena (Academic, 1996).

Santos, J. J.

J. Faure, Y. Glinec, J. J. Santos, F. Ewald, J.-P. Rousseau, S. Kiselev, A. Pukhov, T. Hosokai, and V. Malka, "Observation of laser-pulse shortening in nonlinear plasma-waves," Phys. Rev. Lett. 95, 205003 (2005).
[CrossRef] [PubMed]

Sato, K.

Siegman, A. E.

A. E. Siegman, Lasers (University Science, 1986), pp. 626-673.

Suda, A.

Y. Oishi, A. Suda, K. Midorikawa, and F. Kannari, "Sub-10 fs, multi-millijoule laser system," Rev. Sci. Instrum. 76, 093114 (2005).
[CrossRef]

A. Suda, M. Hatayama, K. Nagasaka, and K. Midorikawa, "Generation of sub-10-fs, 5-mJ-optical pulses using a hollow fiber with a pressure gradient," Appl. Phys. Lett. 86, 111116 (2005).
[CrossRef]

M. Nurhuda, A. Suda, and K. Midorikawa, "Propagation dynamics of femtosecond laser pulses in argon," Phys. Rev. A 66, 023811 (2002).
[CrossRef]

M. Nurhuda, A. Suda, and K. Midorikawa, "Ionization-induced high order nonlinear susceptibility," Phys. Rev. A 66, 0418021 (2002).
[CrossRef]

T. Takasaki, A. Suda, K. Sato, K. Nagasaka, and H. Tashiro, "Stable propagation of non-Gaussian beams in a multiple-pass cell," Appl. Opt. 36, 3413-3420 (1997).
[CrossRef] [PubMed]

Svelto, O.

M. Nisoli, S. De Silvestri, and O. Svelto, "Generation of high energy 10 fs pulse by a new compression technique," Appl. Phys. Lett. 68, 2793-2795 (1996).
[CrossRef]

Takasaki, T.

Talebpour, A.

S. F. J. Larochelle, A. Talebpour, and S. L. Chin, "Coulomb effect in multiphoton ionization of rare-gas atom," J. Phys. B 31, 1215-1224 (1998).
[CrossRef]

Tamaki, Y.

Y. Tamaki, J. Itatani, Y. Nagata, M. Obara, and K. Midorikawa, "Highly efficient, phase-matched high-harmonic generation by a self-guided laser beam," Phys. Rev. Lett. 82, 1422-1425 (1999).
[CrossRef]

Tashiro, H.

Terent'ev, M. V.

A. M. Perelemov, V. S. Popov, and M. V. Terent'ev, "Ionization of atoms in alternating electric field," Sov. Phys. JETP 23, 924-934 (2004).

Tobey, R.

A. Paul, R. A. Bartels, R. Tobey, H. Green, S. Weiman, I. P. Christov, M. M. Murnane, H. C. Kapteyn, and S. Backus, "Quasi-phase-matched generation of coherent extreme-ultraviolet light," Nature 421, 51-54 (2003).
[CrossRef] [PubMed]

Tzortzakis, S.

S. Tzortzakis, L. Bergé, A. Couairon, M. Franco, B. Prade, and A. Mysyrowics, "Breakup and fusion of self-guided femtosecond light pulses in air," Phys. Rev. Lett. 86, 5470-5473 (2001).
[CrossRef] [PubMed]

Wagner, N. L.

N. L. Wagner, E. A. Gibson, T. Popmintchev, I. P. Christov, M. M. Murnane, and H. C. Kapteyn, "Self-compression of ultrashort pulses through ionization-induced spatiotemporal reshaping," Phys. Rev. Lett. 93, 173902 (2004).
[CrossRef] [PubMed]

Weiman, S.

A. Paul, R. A. Bartels, R. Tobey, H. Green, S. Weiman, I. P. Christov, M. M. Murnane, H. C. Kapteyn, and S. Backus, "Quasi-phase-matched generation of coherent extreme-ultraviolet light," Nature 421, 51-54 (2003).
[CrossRef] [PubMed]

Wright, E. M.

Appl. Opt. (1)

Appl. Phys. B (1)

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 cycles laser pulses through filamentation," Appl. Phys. B 79, 673-677 (2004).
[CrossRef]

Appl. Phys. Lett. (2)

A. Suda, M. Hatayama, K. Nagasaka, and K. Midorikawa, "Generation of sub-10-fs, 5-mJ-optical pulses using a hollow fiber with a pressure gradient," Appl. Phys. Lett. 86, 111116 (2005).
[CrossRef]

M. Nisoli, S. De Silvestri, and O. Svelto, "Generation of high energy 10 fs pulse by a new compression technique," Appl. Phys. Lett. 68, 2793-2795 (1996).
[CrossRef]

J. Opt. Soc. Am. B (1)

A. Couairon, J. Biegert, C. P. Hauri, W. Kornelis, F. W. Helbing, U. Keller, and A. Mysyrowicz, "Self filamentation of ultrashort laser pulses down to one optical cycle by filamentation," J. Opt. Soc. Am. B 53, 75-85 (2006).

J. Phys. B (1)

S. F. J. Larochelle, A. Talebpour, and S. L. Chin, "Coulomb effect in multiphoton ionization of rare-gas atom," J. Phys. B 31, 1215-1224 (1998).
[CrossRef]

Nature (1)

A. Paul, R. A. Bartels, R. Tobey, H. Green, S. Weiman, I. P. Christov, M. M. Murnane, H. C. Kapteyn, and S. Backus, "Quasi-phase-matched generation of coherent extreme-ultraviolet light," Nature 421, 51-54 (2003).
[CrossRef] [PubMed]

Opt. Lett. (2)

Phys. Rev. A (2)

M. Nurhuda, A. Suda, and K. Midorikawa, "Ionization-induced high order nonlinear susceptibility," Phys. Rev. A 66, 0418021 (2002).
[CrossRef]

M. Nurhuda, A. Suda, and K. Midorikawa, "Propagation dynamics of femtosecond laser pulses in argon," Phys. Rev. A 66, 023811 (2002).
[CrossRef]

Phys. Rev. E (1)

S. Champeaux and L. Berge, "Femtosecond pulse compression in pressure-gas cell," Phys. Rev. E 68, 066603 (2003).
[CrossRef]

Phys. Rev. Lett. (5)

Y. Tamaki, J. Itatani, Y. Nagata, M. Obara, and K. Midorikawa, "Highly efficient, phase-matched high-harmonic generation by a self-guided laser beam," Phys. Rev. Lett. 82, 1422-1425 (1999).
[CrossRef]

A. L. Gaeta, "Catastrophic collapse of ultrashort pulses," Phys. Rev. Lett. 84, 3582-3585 (2000).
[CrossRef] [PubMed]

S. Tzortzakis, L. Bergé, A. Couairon, M. Franco, B. Prade, and A. Mysyrowics, "Breakup and fusion of self-guided femtosecond light pulses in air," Phys. Rev. Lett. 86, 5470-5473 (2001).
[CrossRef] [PubMed]

N. L. Wagner, E. A. Gibson, T. Popmintchev, I. P. Christov, M. M. Murnane, and H. C. Kapteyn, "Self-compression of ultrashort pulses through ionization-induced spatiotemporal reshaping," Phys. Rev. Lett. 93, 173902 (2004).
[CrossRef] [PubMed]

J. Faure, Y. Glinec, J. J. Santos, F. Ewald, J.-P. Rousseau, S. Kiselev, A. Pukhov, T. Hosokai, and V. Malka, "Observation of laser-pulse shortening in nonlinear plasma-waves," Phys. Rev. Lett. 95, 205003 (2005).
[CrossRef] [PubMed]

Rev. Sci. Instrum. (1)

Y. Oishi, A. Suda, K. Midorikawa, and F. Kannari, "Sub-10 fs, multi-millijoule laser system," Rev. Sci. Instrum. 76, 093114 (2005).
[CrossRef]

Sov. Phys. JETP (1)

A. M. Perelemov, V. S. Popov, and M. V. Terent'ev, "Ionization of atoms in alternating electric field," Sov. Phys. JETP 23, 924-934 (2004).

Other (3)

A. E. Siegman, Lasers (University Science, 1986), pp. 626-673.

S. Kimura, Showa Optronics Co. Ltd., Tokyo, Japan (personal communication, 2005).

J. C. Diels and W. Rudolf, Ultrashort Laser Phenomena (Academic, 1996).

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Figures (5)

Fig. 1
Fig. 1

Energy evolution of the pulse propagating in the MPC with gas pressure p = 100 Pa (left). The evolution of the intensity (solid curve) with each pass is shown on the right-hand side. The dashed curves represent the cases when, after each respective pass, the pulse is propagated in vacuum conditions. An exception is made for the first pass where the dashed curve represents propagation in a vacuum.

Fig. 2
Fig. 2

Occupation probabilities after each pass for basis functions up to the 20th order. Linear scales are used for convenience. The radial fluence of the beam after each pass is shown on the right-hand side.

Fig. 3
Fig. 3

Display of the spatiospectral intensities obtained after the second to fifth passes.

Fig. 4
Fig. 4

Comparison of the spatiospectral intensity profiles after the fifth pass, obtained using different gas pressures, 40, 100, and 130 Pa , respectively, from top to bottom. The corresponding spatiospectral phases are shown on the right-hand side.

Fig. 5
Fig. 5

Spatiotemporal intensity profiles of the pulses after compression. The compression was simulated by subtracting the on-axis spectral phase from the spectral phase at the respective radial coordinate. On the right-hand side, the corresponding powers integrated over a circular area of 6 mm radius are shown.

Equations (23)

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2 E ( r , z , t ) 2 i k 0 z E ( r , z , t ) = ( k 0 2 2 i k 0 c t ) P NL ( r , z , t ) ,
P NL ( r , z , t ) = { Δ χ ( r , z , t ) ω p 2 ω 0 2 } E ( r , z , t ) ,
ρ t = ( N 0 ρ ) Γ ( I ) ,
2 i k 0 z E ( r , z , t ) = 2 E ( r , z , t ) ,
2 i k 0 z E ( r , z , t ) = ( k 0 2 2 i k 0 c t ) P NL ( r , z , t ) .
E ( r , z , t ) = j a j ( t , z ) 1 w ( z ) 2 π exp [ r 2 w ( z ) 2 ] L j [ 2 r 2 w ( z ) 2 ] × exp [ i ( 2 j + 1 ) ϑ ( z ) ] exp ( i [ k z + k r 2 2 q ( z ) ] ) ,
w ( z ) = w 0 [ 1 + ( λ z π w 0 2 ) 2 ] 1 2 ,
ϑ ( z ) = tan 1 ( z z R ) ,
q ( z ) = z [ 1 + ( π w 0 2 λ z ) 2 ] ,
z R = π w 0 2 λ .
a j ( t , z ) = 0 E ( r , z , t ) L j [ 2 r 2 w ( z ) 2 ] exp [ r 2 w ( z ) 2 ] 4 r w 2 ( z ) d r .
E ( r , z + Δ z , t ) = j a j ( t , z ) 1 w ( z + Δ z ) 2 π exp [ r 2 w ( z + Δ z ) 2 ] L j [ 2 r 2 w ( z + Δ z ) 2 ] exp [ i ( 2 j + 1 ) ϑ ( z + Δ z ) ] exp ( i [ k ( z + Δ z ) k r 2 2 q ( z + Δ z ) ] ) .
q ( l ) = [ 1 q ( l ) + 2 R ] 1 ,
w 0 = w ( l ) { 1 + [ π w 2 ( l ) λ q ( l ) ] 2 } 1 2 ,
ϑ ( l ) = ϑ ( l ) .
z b = q ( l ) 1 + [ λ q ( l ) π w 2 ( l ) ] 2 ,
w ( z ) = w 0 { 1 + ( λ ( z z b ) π w 0 2 ) 2 } 1 2 ,
q ( z ) = ( z z b ) { 1 + ( π w 0 2 λ ( z z b ) ) 2 } .
ϑ ( z ) = ϑ ( l ) + tan 1 z b z R + tan 1 ( z z b ) z R .
w 0 = λ L 2 π ( 2 R L 1 ) 1 2 .
X ̃ NL = ( k 0 2 + 2 i k 0 c t ) P NL ( r , z , t ) E ( r , z , t ) ,
2 i k 0 z E ( r , z , t ) = X ̃ NL E ( r , z , t )
E ( r , z + Δ z , t ) = e i Δ z 2 k 0 X ̃ NL E ( r , z , t ) .

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