Abstract

We present 20fs2 accuracy laser-induced group velocity dispersion (LI-GVD) measurements, resulting from propagation of a femtosecond laser pulse in 1mm of fused silica, as a function of peak intensity. For a 5.5 × 1011 W/cm2 peak intensity, LI-GVD values are found to vary from −3 to + 15 times the material GVD. Normal induced dispersion can be explained by the Kerr effect, but anomalous LI-GVD, found when the input pulses have negative pre-chirp, cannot. These findings have significant implications regarding self-compression and the design of femtosecond lasers.

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References

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  1. F. Shimizu, “Frequency broadening in liquids by a short light pulse,” Phys. Rev. Lett. 19(19), 1097–1100 (1967).
    [Crossref]
  2. S. S. Mao, F. Quéré, S. Guizard, X. L. Mao, R. E. Russo, G. Petite, and P. Martin, “Dynamics of femtosecond laser interactions with dielectrics,” Appl. Phys., A Mater. Sci. Process. 79, 1695–1709 (2004).
    [Crossref]
  3. P. Audebert, Ph. Daguzan, A. Dos Santos, J. C. Gauthier, J. P. Geindre, S. Guizard, G. Hamoniaux, K. Krastev, P. Martin, G. Petite, and A. Antonetti, “Space-time observation of an electron gas in SiO2.,” Phys. Rev. Lett. 73(14), 1990–1993 (1994).
  4. D. Grojo, M. Gertsvolf, S. Lei, T. Barillot, D. M. Rayner, and P. B. Corkum, “Exciton-seeded multiphoton ionization in bulk SiO2,” Phys. Rev. B 81(21), 212301 (2010).
    [Crossref]
  5. C. Itoh, K. Tanimura, and N. Itoh, “Optical studies of self-trapped excitons in SiO2,” J. Phys. C Solid State Phys. 21(26), 4693–4702 (1988).
    [Crossref]
  6. M. Sakakura, M. Terazima, Y. Shimotsuma, K. Miura, and K. Hirao, “Thermal and shock induced modification inside a silica glass by focused femtosecond laser pulse,” J. Appl. Phys. 109, 023503 (2011).
  7. C. B. Schaffer, A. Brodeur, and E. Mazur, “Laser-induced breakdown and damage in bulk transparent materials induced by tightly focused femtosecond laser pulses,” Meas. Sci. Technol. 12(11), 1784–1794 (2001).
    [Crossref]
  8. S. Tzortzakis, L. Sudrie, M. Franco, B. Prade, A. Mysyrowicz, A. Couairon, and L. Bergé, “Self-guided propagation of ultrashort IR laser pulses in fused silica,” Phys. Rev. Lett. 87(21), 213902 (2001).
    [Crossref] [PubMed]
  9. C. Kalpouzos, W. T. Lotshaw, D. McMorrow, and G. A. Kenney-Wallace, “Femtosecond laser- induced Kerr responses in liquid CS2,” J. Phys. Chem. 91(8), 2028–2030 (1987).
    [Crossref]
  10. W. T. Lotshaw, D. McMorrow, C. Kalpouzos, and G. A. Kenney-Wallace, “Femtosecond dynamics of the optical Kerr effect in liquid nitrobenzene and chlorobenzene,” Chem. Phys. Lett. 136(3-4), 323–328 (1987).
    [Crossref]
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    [Crossref]
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    [Crossref] [PubMed]
  13. L. Bergé, S. Skupin, and G. Steinmeyer, “Temporal self-restoration of compressed optical filaments,” Phys. Rev. Lett. 101(21), 213901 (2008).
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    [Crossref]
  16. V. V. Lozovoy, I. Pastirk, K. A. Walowicz, and M. Dantus, “Multiphoton intrapulse interference. II. Control of two- and three-photon laser induced fluorescence with shaped pulses,” J. Chem. Phys. 118(7), 3187–3196 (2003).
    [Crossref]
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2011 (1)

M. Sakakura, M. Terazima, Y. Shimotsuma, K. Miura, and K. Hirao, “Thermal and shock induced modification inside a silica glass by focused femtosecond laser pulse,” J. Appl. Phys. 109, 023503 (2011).

2010 (1)

D. Grojo, M. Gertsvolf, S. Lei, T. Barillot, D. M. Rayner, and P. B. Corkum, “Exciton-seeded multiphoton ionization in bulk SiO2,” Phys. Rev. B 81(21), 212301 (2010).
[Crossref]

2008 (3)

L. Bergé, S. Skupin, and G. Steinmeyer, “Temporal self-restoration of compressed optical filaments,” Phys. Rev. Lett. 101(21), 213901 (2008).
[Crossref] [PubMed]

F. W. Wise, A. Chong, and W. H. Renninger, “High-energy femtosecond fiber lasers based on pulse propagation at normal dispersion,” Laser Photon. Rev. 2(1-2), 58–73 (2008).
[Crossref]

Y. Coello, V. V. Lozovoy, T. C. Gunaratne, B. Xu, I. Borukhovich, C.- Tseng, T. Weinacht, and M. Dantus, “Interference without an interferometer: a different approach to measuring, compressing, and shaping ultrashort laser pulses,” J. Opt. Soc. Am. B 25(6), A140–A150 (2008).
[Crossref]

2004 (1)

S. S. Mao, F. Quéré, S. Guizard, X. L. Mao, R. E. Russo, G. Petite, and P. Martin, “Dynamics of femtosecond laser interactions with dielectrics,” Appl. Phys., A Mater. Sci. Process. 79, 1695–1709 (2004).
[Crossref]

2003 (1)

V. V. Lozovoy, I. Pastirk, K. A. Walowicz, and M. Dantus, “Multiphoton intrapulse interference. II. Control of two- and three-photon laser induced fluorescence with shaped pulses,” J. Chem. Phys. 118(7), 3187–3196 (2003).
[Crossref]

2001 (3)

R. A. Bartels, T. C. Weinacht, N. Wagner, M. Baertschy, C. H. Greene, M. M. Murnane, and H. C. Kapteyn, “Phase modulation of ultrashort light pulses using molecular rotational wave packets,” Phys. Rev. Lett. 88(1), 013903 (2001).
[Crossref] [PubMed]

C. B. Schaffer, A. Brodeur, and E. Mazur, “Laser-induced breakdown and damage in bulk transparent materials induced by tightly focused femtosecond laser pulses,” Meas. Sci. Technol. 12(11), 1784–1794 (2001).
[Crossref]

S. Tzortzakis, L. Sudrie, M. Franco, B. Prade, A. Mysyrowicz, A. Couairon, and L. Bergé, “Self-guided propagation of ultrashort IR laser pulses in fused silica,” Phys. Rev. Lett. 87(21), 213902 (2001).
[Crossref] [PubMed]

2000 (1)

1996 (1)

1994 (1)

P. Audebert, Ph. Daguzan, A. Dos Santos, J. C. Gauthier, J. P. Geindre, S. Guizard, G. Hamoniaux, K. Krastev, P. Martin, G. Petite, and A. Antonetti, “Space-time observation of an electron gas in SiO2.,” Phys. Rev. Lett. 73(14), 1990–1993 (1994).

1990 (1)

M. Sheik-Bahae, A. A. Said, T.-H. Wei, D. J. Hagan, and E. W. Van Stryland, “Sensitive measurement of optical nonlinearities using a single beam,” IEEE J. Quantum Electron. 26(4), 760–769 (1990).
[Crossref]

1988 (1)

C. Itoh, K. Tanimura, and N. Itoh, “Optical studies of self-trapped excitons in SiO2,” J. Phys. C Solid State Phys. 21(26), 4693–4702 (1988).
[Crossref]

1987 (2)

C. Kalpouzos, W. T. Lotshaw, D. McMorrow, and G. A. Kenney-Wallace, “Femtosecond laser- induced Kerr responses in liquid CS2,” J. Phys. Chem. 91(8), 2028–2030 (1987).
[Crossref]

W. T. Lotshaw, D. McMorrow, C. Kalpouzos, and G. A. Kenney-Wallace, “Femtosecond dynamics of the optical Kerr effect in liquid nitrobenzene and chlorobenzene,” Chem. Phys. Lett. 136(3-4), 323–328 (1987).
[Crossref]

1967 (1)

F. Shimizu, “Frequency broadening in liquids by a short light pulse,” Phys. Rev. Lett. 19(19), 1097–1100 (1967).
[Crossref]

Antonetti, A.

P. Audebert, Ph. Daguzan, A. Dos Santos, J. C. Gauthier, J. P. Geindre, S. Guizard, G. Hamoniaux, K. Krastev, P. Martin, G. Petite, and A. Antonetti, “Space-time observation of an electron gas in SiO2.,” Phys. Rev. Lett. 73(14), 1990–1993 (1994).

Audebert, P.

P. Audebert, Ph. Daguzan, A. Dos Santos, J. C. Gauthier, J. P. Geindre, S. Guizard, G. Hamoniaux, K. Krastev, P. Martin, G. Petite, and A. Antonetti, “Space-time observation of an electron gas in SiO2.,” Phys. Rev. Lett. 73(14), 1990–1993 (1994).

Baertschy, M.

R. A. Bartels, T. C. Weinacht, N. Wagner, M. Baertschy, C. H. Greene, M. M. Murnane, and H. C. Kapteyn, “Phase modulation of ultrashort light pulses using molecular rotational wave packets,” Phys. Rev. Lett. 88(1), 013903 (2001).
[Crossref] [PubMed]

Barillot, T.

D. Grojo, M. Gertsvolf, S. Lei, T. Barillot, D. M. Rayner, and P. B. Corkum, “Exciton-seeded multiphoton ionization in bulk SiO2,” Phys. Rev. B 81(21), 212301 (2010).
[Crossref]

Bartels, R. A.

R. A. Bartels, T. C. Weinacht, N. Wagner, M. Baertschy, C. H. Greene, M. M. Murnane, and H. C. Kapteyn, “Phase modulation of ultrashort light pulses using molecular rotational wave packets,” Phys. Rev. Lett. 88(1), 013903 (2001).
[Crossref] [PubMed]

Bergé, L.

L. Bergé, S. Skupin, and G. Steinmeyer, “Temporal self-restoration of compressed optical filaments,” Phys. Rev. Lett. 101(21), 213901 (2008).
[Crossref] [PubMed]

S. Tzortzakis, L. Sudrie, M. Franco, B. Prade, A. Mysyrowicz, A. Couairon, and L. Bergé, “Self-guided propagation of ultrashort IR laser pulses in fused silica,” Phys. Rev. Lett. 87(21), 213902 (2001).
[Crossref] [PubMed]

Borukhovich, I.

Brodeur, A.

C. B. Schaffer, A. Brodeur, and E. Mazur, “Laser-induced breakdown and damage in bulk transparent materials induced by tightly focused femtosecond laser pulses,” Meas. Sci. Technol. 12(11), 1784–1794 (2001).
[Crossref]

Chong, A.

F. W. Wise, A. Chong, and W. H. Renninger, “High-energy femtosecond fiber lasers based on pulse propagation at normal dispersion,” Laser Photon. Rev. 2(1-2), 58–73 (2008).
[Crossref]

Clement, T. S.

Coello, Y.

Corkum, P. B.

D. Grojo, M. Gertsvolf, S. Lei, T. Barillot, D. M. Rayner, and P. B. Corkum, “Exciton-seeded multiphoton ionization in bulk SiO2,” Phys. Rev. B 81(21), 212301 (2010).
[Crossref]

Couairon, A.

S. Tzortzakis, L. Sudrie, M. Franco, B. Prade, A. Mysyrowicz, A. Couairon, and L. Bergé, “Self-guided propagation of ultrashort IR laser pulses in fused silica,” Phys. Rev. Lett. 87(21), 213902 (2001).
[Crossref] [PubMed]

Daguzan, Ph.

P. Audebert, Ph. Daguzan, A. Dos Santos, J. C. Gauthier, J. P. Geindre, S. Guizard, G. Hamoniaux, K. Krastev, P. Martin, G. Petite, and A. Antonetti, “Space-time observation of an electron gas in SiO2.,” Phys. Rev. Lett. 73(14), 1990–1993 (1994).

Dantus, M.

Y. Coello, V. V. Lozovoy, T. C. Gunaratne, B. Xu, I. Borukhovich, C.- Tseng, T. Weinacht, and M. Dantus, “Interference without an interferometer: a different approach to measuring, compressing, and shaping ultrashort laser pulses,” J. Opt. Soc. Am. B 25(6), A140–A150 (2008).
[Crossref]

V. V. Lozovoy, I. Pastirk, K. A. Walowicz, and M. Dantus, “Multiphoton intrapulse interference. II. Control of two- and three-photon laser induced fluorescence with shaped pulses,” J. Chem. Phys. 118(7), 3187–3196 (2003).
[Crossref]

Dos Santos, A.

P. Audebert, Ph. Daguzan, A. Dos Santos, J. C. Gauthier, J. P. Geindre, S. Guizard, G. Hamoniaux, K. Krastev, P. Martin, G. Petite, and A. Antonetti, “Space-time observation of an electron gas in SiO2.,” Phys. Rev. Lett. 73(14), 1990–1993 (1994).

Franco, M.

S. Tzortzakis, L. Sudrie, M. Franco, B. Prade, A. Mysyrowicz, A. Couairon, and L. Bergé, “Self-guided propagation of ultrashort IR laser pulses in fused silica,” Phys. Rev. Lett. 87(21), 213902 (2001).
[Crossref] [PubMed]

Gauthier, J. C.

P. Audebert, Ph. Daguzan, A. Dos Santos, J. C. Gauthier, J. P. Geindre, S. Guizard, G. Hamoniaux, K. Krastev, P. Martin, G. Petite, and A. Antonetti, “Space-time observation of an electron gas in SiO2.,” Phys. Rev. Lett. 73(14), 1990–1993 (1994).

Geindre, J. P.

P. Audebert, Ph. Daguzan, A. Dos Santos, J. C. Gauthier, J. P. Geindre, S. Guizard, G. Hamoniaux, K. Krastev, P. Martin, G. Petite, and A. Antonetti, “Space-time observation of an electron gas in SiO2.,” Phys. Rev. Lett. 73(14), 1990–1993 (1994).

Gertsvolf, M.

D. Grojo, M. Gertsvolf, S. Lei, T. Barillot, D. M. Rayner, and P. B. Corkum, “Exciton-seeded multiphoton ionization in bulk SiO2,” Phys. Rev. B 81(21), 212301 (2010).
[Crossref]

Greene, C. H.

R. A. Bartels, T. C. Weinacht, N. Wagner, M. Baertschy, C. H. Greene, M. M. Murnane, and H. C. Kapteyn, “Phase modulation of ultrashort light pulses using molecular rotational wave packets,” Phys. Rev. Lett. 88(1), 013903 (2001).
[Crossref] [PubMed]

Grojo, D.

D. Grojo, M. Gertsvolf, S. Lei, T. Barillot, D. M. Rayner, and P. B. Corkum, “Exciton-seeded multiphoton ionization in bulk SiO2,” Phys. Rev. B 81(21), 212301 (2010).
[Crossref]

Guizard, S.

S. S. Mao, F. Quéré, S. Guizard, X. L. Mao, R. E. Russo, G. Petite, and P. Martin, “Dynamics of femtosecond laser interactions with dielectrics,” Appl. Phys., A Mater. Sci. Process. 79, 1695–1709 (2004).
[Crossref]

P. Audebert, Ph. Daguzan, A. Dos Santos, J. C. Gauthier, J. P. Geindre, S. Guizard, G. Hamoniaux, K. Krastev, P. Martin, G. Petite, and A. Antonetti, “Space-time observation of an electron gas in SiO2.,” Phys. Rev. Lett. 73(14), 1990–1993 (1994).

Gunaratne, T. C.

Hagan, D. J.

M. Sheik-Bahae, A. A. Said, T.-H. Wei, D. J. Hagan, and E. W. Van Stryland, “Sensitive measurement of optical nonlinearities using a single beam,” IEEE J. Quantum Electron. 26(4), 760–769 (1990).
[Crossref]

Hamoniaux, G.

P. Audebert, Ph. Daguzan, A. Dos Santos, J. C. Gauthier, J. P. Geindre, S. Guizard, G. Hamoniaux, K. Krastev, P. Martin, G. Petite, and A. Antonetti, “Space-time observation of an electron gas in SiO2.,” Phys. Rev. Lett. 73(14), 1990–1993 (1994).

Hirao, K.

M. Sakakura, M. Terazima, Y. Shimotsuma, K. Miura, and K. Hirao, “Thermal and shock induced modification inside a silica glass by focused femtosecond laser pulse,” J. Appl. Phys. 109, 023503 (2011).

Itoh, C.

C. Itoh, K. Tanimura, and N. Itoh, “Optical studies of self-trapped excitons in SiO2,” J. Phys. C Solid State Phys. 21(26), 4693–4702 (1988).
[Crossref]

Itoh, N.

C. Itoh, K. Tanimura, and N. Itoh, “Optical studies of self-trapped excitons in SiO2,” J. Phys. C Solid State Phys. 21(26), 4693–4702 (1988).
[Crossref]

Kalpouzos, C.

W. T. Lotshaw, D. McMorrow, C. Kalpouzos, and G. A. Kenney-Wallace, “Femtosecond dynamics of the optical Kerr effect in liquid nitrobenzene and chlorobenzene,” Chem. Phys. Lett. 136(3-4), 323–328 (1987).
[Crossref]

C. Kalpouzos, W. T. Lotshaw, D. McMorrow, and G. A. Kenney-Wallace, “Femtosecond laser- induced Kerr responses in liquid CS2,” J. Phys. Chem. 91(8), 2028–2030 (1987).
[Crossref]

Kapteyn, H. C.

R. A. Bartels, T. C. Weinacht, N. Wagner, M. Baertschy, C. H. Greene, M. M. Murnane, and H. C. Kapteyn, “Phase modulation of ultrashort light pulses using molecular rotational wave packets,” Phys. Rev. Lett. 88(1), 013903 (2001).
[Crossref] [PubMed]

Kenney-Wallace, G. A.

W. T. Lotshaw, D. McMorrow, C. Kalpouzos, and G. A. Kenney-Wallace, “Femtosecond dynamics of the optical Kerr effect in liquid nitrobenzene and chlorobenzene,” Chem. Phys. Lett. 136(3-4), 323–328 (1987).
[Crossref]

C. Kalpouzos, W. T. Lotshaw, D. McMorrow, and G. A. Kenney-Wallace, “Femtosecond laser- induced Kerr responses in liquid CS2,” J. Phys. Chem. 91(8), 2028–2030 (1987).
[Crossref]

Krastev, K.

P. Audebert, Ph. Daguzan, A. Dos Santos, J. C. Gauthier, J. P. Geindre, S. Guizard, G. Hamoniaux, K. Krastev, P. Martin, G. Petite, and A. Antonetti, “Space-time observation of an electron gas in SiO2.,” Phys. Rev. Lett. 73(14), 1990–1993 (1994).

Lei, S.

D. Grojo, M. Gertsvolf, S. Lei, T. Barillot, D. M. Rayner, and P. B. Corkum, “Exciton-seeded multiphoton ionization in bulk SiO2,” Phys. Rev. B 81(21), 212301 (2010).
[Crossref]

Lotshaw, W. T.

W. T. Lotshaw, D. McMorrow, C. Kalpouzos, and G. A. Kenney-Wallace, “Femtosecond dynamics of the optical Kerr effect in liquid nitrobenzene and chlorobenzene,” Chem. Phys. Lett. 136(3-4), 323–328 (1987).
[Crossref]

C. Kalpouzos, W. T. Lotshaw, D. McMorrow, and G. A. Kenney-Wallace, “Femtosecond laser- induced Kerr responses in liquid CS2,” J. Phys. Chem. 91(8), 2028–2030 (1987).
[Crossref]

Lozovoy, V. V.

Y. Coello, V. V. Lozovoy, T. C. Gunaratne, B. Xu, I. Borukhovich, C.- Tseng, T. Weinacht, and M. Dantus, “Interference without an interferometer: a different approach to measuring, compressing, and shaping ultrashort laser pulses,” J. Opt. Soc. Am. B 25(6), A140–A150 (2008).
[Crossref]

V. V. Lozovoy, I. Pastirk, K. A. Walowicz, and M. Dantus, “Multiphoton intrapulse interference. II. Control of two- and three-photon laser induced fluorescence with shaped pulses,” J. Chem. Phys. 118(7), 3187–3196 (2003).
[Crossref]

Mao, S. S.

S. S. Mao, F. Quéré, S. Guizard, X. L. Mao, R. E. Russo, G. Petite, and P. Martin, “Dynamics of femtosecond laser interactions with dielectrics,” Appl. Phys., A Mater. Sci. Process. 79, 1695–1709 (2004).
[Crossref]

Mao, X. L.

S. S. Mao, F. Quéré, S. Guizard, X. L. Mao, R. E. Russo, G. Petite, and P. Martin, “Dynamics of femtosecond laser interactions with dielectrics,” Appl. Phys., A Mater. Sci. Process. 79, 1695–1709 (2004).
[Crossref]

Martin, P.

S. S. Mao, F. Quéré, S. Guizard, X. L. Mao, R. E. Russo, G. Petite, and P. Martin, “Dynamics of femtosecond laser interactions with dielectrics,” Appl. Phys., A Mater. Sci. Process. 79, 1695–1709 (2004).
[Crossref]

P. Audebert, Ph. Daguzan, A. Dos Santos, J. C. Gauthier, J. P. Geindre, S. Guizard, G. Hamoniaux, K. Krastev, P. Martin, G. Petite, and A. Antonetti, “Space-time observation of an electron gas in SiO2.,” Phys. Rev. Lett. 73(14), 1990–1993 (1994).

Mazur, E.

C. B. Schaffer, A. Brodeur, and E. Mazur, “Laser-induced breakdown and damage in bulk transparent materials induced by tightly focused femtosecond laser pulses,” Meas. Sci. Technol. 12(11), 1784–1794 (2001).
[Crossref]

McMorrow, D.

C. Kalpouzos, W. T. Lotshaw, D. McMorrow, and G. A. Kenney-Wallace, “Femtosecond laser- induced Kerr responses in liquid CS2,” J. Phys. Chem. 91(8), 2028–2030 (1987).
[Crossref]

W. T. Lotshaw, D. McMorrow, C. Kalpouzos, and G. A. Kenney-Wallace, “Femtosecond dynamics of the optical Kerr effect in liquid nitrobenzene and chlorobenzene,” Chem. Phys. Lett. 136(3-4), 323–328 (1987).
[Crossref]

Miura, K.

M. Sakakura, M. Terazima, Y. Shimotsuma, K. Miura, and K. Hirao, “Thermal and shock induced modification inside a silica glass by focused femtosecond laser pulse,” J. Appl. Phys. 109, 023503 (2011).

Murnane, M. M.

R. A. Bartels, T. C. Weinacht, N. Wagner, M. Baertschy, C. H. Greene, M. M. Murnane, and H. C. Kapteyn, “Phase modulation of ultrashort light pulses using molecular rotational wave packets,” Phys. Rev. Lett. 88(1), 013903 (2001).
[Crossref] [PubMed]

Mysyrowicz, A.

S. Tzortzakis, L. Sudrie, M. Franco, B. Prade, A. Mysyrowicz, A. Couairon, and L. Bergé, “Self-guided propagation of ultrashort IR laser pulses in fused silica,” Phys. Rev. Lett. 87(21), 213902 (2001).
[Crossref] [PubMed]

Pastirk, I.

V. V. Lozovoy, I. Pastirk, K. A. Walowicz, and M. Dantus, “Multiphoton intrapulse interference. II. Control of two- and three-photon laser induced fluorescence with shaped pulses,” J. Chem. Phys. 118(7), 3187–3196 (2003).
[Crossref]

Petite, G.

S. S. Mao, F. Quéré, S. Guizard, X. L. Mao, R. E. Russo, G. Petite, and P. Martin, “Dynamics of femtosecond laser interactions with dielectrics,” Appl. Phys., A Mater. Sci. Process. 79, 1695–1709 (2004).
[Crossref]

P. Audebert, Ph. Daguzan, A. Dos Santos, J. C. Gauthier, J. P. Geindre, S. Guizard, G. Hamoniaux, K. Krastev, P. Martin, G. Petite, and A. Antonetti, “Space-time observation of an electron gas in SiO2.,” Phys. Rev. Lett. 73(14), 1990–1993 (1994).

Prade, B.

S. Tzortzakis, L. Sudrie, M. Franco, B. Prade, A. Mysyrowicz, A. Couairon, and L. Bergé, “Self-guided propagation of ultrashort IR laser pulses in fused silica,” Phys. Rev. Lett. 87(21), 213902 (2001).
[Crossref] [PubMed]

Quéré, F.

S. S. Mao, F. Quéré, S. Guizard, X. L. Mao, R. E. Russo, G. Petite, and P. Martin, “Dynamics of femtosecond laser interactions with dielectrics,” Appl. Phys., A Mater. Sci. Process. 79, 1695–1709 (2004).
[Crossref]

Rayner, D. M.

D. Grojo, M. Gertsvolf, S. Lei, T. Barillot, D. M. Rayner, and P. B. Corkum, “Exciton-seeded multiphoton ionization in bulk SiO2,” Phys. Rev. B 81(21), 212301 (2010).
[Crossref]

Renninger, W. H.

F. W. Wise, A. Chong, and W. H. Renninger, “High-energy femtosecond fiber lasers based on pulse propagation at normal dispersion,” Laser Photon. Rev. 2(1-2), 58–73 (2008).
[Crossref]

Rodriguez, G.

Russo, R. E.

S. S. Mao, F. Quéré, S. Guizard, X. L. Mao, R. E. Russo, G. Petite, and P. Martin, “Dynamics of femtosecond laser interactions with dielectrics,” Appl. Phys., A Mater. Sci. Process. 79, 1695–1709 (2004).
[Crossref]

Said, A. A.

M. Sheik-Bahae, A. A. Said, T.-H. Wei, D. J. Hagan, and E. W. Van Stryland, “Sensitive measurement of optical nonlinearities using a single beam,” IEEE J. Quantum Electron. 26(4), 760–769 (1990).
[Crossref]

Sakakura, M.

M. Sakakura, M. Terazima, Y. Shimotsuma, K. Miura, and K. Hirao, “Thermal and shock induced modification inside a silica glass by focused femtosecond laser pulse,” J. Appl. Phys. 109, 023503 (2011).

Schaffer, C. B.

C. B. Schaffer, A. Brodeur, and E. Mazur, “Laser-induced breakdown and damage in bulk transparent materials induced by tightly focused femtosecond laser pulses,” Meas. Sci. Technol. 12(11), 1784–1794 (2001).
[Crossref]

Sheik-Bahae, M.

M. Sheik-Bahae, A. A. Said, T.-H. Wei, D. J. Hagan, and E. W. Van Stryland, “Sensitive measurement of optical nonlinearities using a single beam,” IEEE J. Quantum Electron. 26(4), 760–769 (1990).
[Crossref]

Shimizu, F.

F. Shimizu, “Frequency broadening in liquids by a short light pulse,” Phys. Rev. Lett. 19(19), 1097–1100 (1967).
[Crossref]

Shimotsuma, Y.

M. Sakakura, M. Terazima, Y. Shimotsuma, K. Miura, and K. Hirao, “Thermal and shock induced modification inside a silica glass by focused femtosecond laser pulse,” J. Appl. Phys. 109, 023503 (2011).

Skupin, S.

L. Bergé, S. Skupin, and G. Steinmeyer, “Temporal self-restoration of compressed optical filaments,” Phys. Rev. Lett. 101(21), 213901 (2008).
[Crossref] [PubMed]

Smolorz, S.

Steinmeyer, G.

L. Bergé, S. Skupin, and G. Steinmeyer, “Temporal self-restoration of compressed optical filaments,” Phys. Rev. Lett. 101(21), 213901 (2008).
[Crossref] [PubMed]

Sudrie, L.

S. Tzortzakis, L. Sudrie, M. Franco, B. Prade, A. Mysyrowicz, A. Couairon, and L. Bergé, “Self-guided propagation of ultrashort IR laser pulses in fused silica,” Phys. Rev. Lett. 87(21), 213902 (2001).
[Crossref] [PubMed]

Tanimura, K.

C. Itoh, K. Tanimura, and N. Itoh, “Optical studies of self-trapped excitons in SiO2,” J. Phys. C Solid State Phys. 21(26), 4693–4702 (1988).
[Crossref]

Taylor, A. J.

Terazima, M.

M. Sakakura, M. Terazima, Y. Shimotsuma, K. Miura, and K. Hirao, “Thermal and shock induced modification inside a silica glass by focused femtosecond laser pulse,” J. Appl. Phys. 109, 023503 (2011).

Tseng, C.-

Tzortzakis, S.

S. Tzortzakis, L. Sudrie, M. Franco, B. Prade, A. Mysyrowicz, A. Couairon, and L. Bergé, “Self-guided propagation of ultrashort IR laser pulses in fused silica,” Phys. Rev. Lett. 87(21), 213902 (2001).
[Crossref] [PubMed]

Van Stryland, E. W.

M. Sheik-Bahae, A. A. Said, T.-H. Wei, D. J. Hagan, and E. W. Van Stryland, “Sensitive measurement of optical nonlinearities using a single beam,” IEEE J. Quantum Electron. 26(4), 760–769 (1990).
[Crossref]

Wagner, N.

R. A. Bartels, T. C. Weinacht, N. Wagner, M. Baertschy, C. H. Greene, M. M. Murnane, and H. C. Kapteyn, “Phase modulation of ultrashort light pulses using molecular rotational wave packets,” Phys. Rev. Lett. 88(1), 013903 (2001).
[Crossref] [PubMed]

Walowicz, K. A.

V. V. Lozovoy, I. Pastirk, K. A. Walowicz, and M. Dantus, “Multiphoton intrapulse interference. II. Control of two- and three-photon laser induced fluorescence with shaped pulses,” J. Chem. Phys. 118(7), 3187–3196 (2003).
[Crossref]

Wei, T.-H.

M. Sheik-Bahae, A. A. Said, T.-H. Wei, D. J. Hagan, and E. W. Van Stryland, “Sensitive measurement of optical nonlinearities using a single beam,” IEEE J. Quantum Electron. 26(4), 760–769 (1990).
[Crossref]

Weinacht, T.

Weinacht, T. C.

R. A. Bartels, T. C. Weinacht, N. Wagner, M. Baertschy, C. H. Greene, M. M. Murnane, and H. C. Kapteyn, “Phase modulation of ultrashort light pulses using molecular rotational wave packets,” Phys. Rev. Lett. 88(1), 013903 (2001).
[Crossref] [PubMed]

Wise, F.

Wise, F. W.

F. W. Wise, A. Chong, and W. H. Renninger, “High-energy femtosecond fiber lasers based on pulse propagation at normal dispersion,” Laser Photon. Rev. 2(1-2), 58–73 (2008).
[Crossref]

Xu, B.

Appl. Phys., A Mater. Sci. Process. (1)

S. S. Mao, F. Quéré, S. Guizard, X. L. Mao, R. E. Russo, G. Petite, and P. Martin, “Dynamics of femtosecond laser interactions with dielectrics,” Appl. Phys., A Mater. Sci. Process. 79, 1695–1709 (2004).
[Crossref]

Chem. Phys. Lett. (1)

W. T. Lotshaw, D. McMorrow, C. Kalpouzos, and G. A. Kenney-Wallace, “Femtosecond dynamics of the optical Kerr effect in liquid nitrobenzene and chlorobenzene,” Chem. Phys. Lett. 136(3-4), 323–328 (1987).
[Crossref]

IEEE J. Quantum Electron. (1)

M. Sheik-Bahae, A. A. Said, T.-H. Wei, D. J. Hagan, and E. W. Van Stryland, “Sensitive measurement of optical nonlinearities using a single beam,” IEEE J. Quantum Electron. 26(4), 760–769 (1990).
[Crossref]

J. Chem. Phys. (1)

V. V. Lozovoy, I. Pastirk, K. A. Walowicz, and M. Dantus, “Multiphoton intrapulse interference. II. Control of two- and three-photon laser induced fluorescence with shaped pulses,” J. Chem. Phys. 118(7), 3187–3196 (2003).
[Crossref]

J. Opt. Soc. Am. B (2)

J. Phys. C Solid State Phys. (1)

C. Itoh, K. Tanimura, and N. Itoh, “Optical studies of self-trapped excitons in SiO2,” J. Phys. C Solid State Phys. 21(26), 4693–4702 (1988).
[Crossref]

J. Phys. Chem. (1)

C. Kalpouzos, W. T. Lotshaw, D. McMorrow, and G. A. Kenney-Wallace, “Femtosecond laser- induced Kerr responses in liquid CS2,” J. Phys. Chem. 91(8), 2028–2030 (1987).
[Crossref]

Laser Photon. Rev. (1)

F. W. Wise, A. Chong, and W. H. Renninger, “High-energy femtosecond fiber lasers based on pulse propagation at normal dispersion,” Laser Photon. Rev. 2(1-2), 58–73 (2008).
[Crossref]

Meas. Sci. Technol. (1)

C. B. Schaffer, A. Brodeur, and E. Mazur, “Laser-induced breakdown and damage in bulk transparent materials induced by tightly focused femtosecond laser pulses,” Meas. Sci. Technol. 12(11), 1784–1794 (2001).
[Crossref]

Opt. Lett. (1)

Phys. Rev. B (1)

D. Grojo, M. Gertsvolf, S. Lei, T. Barillot, D. M. Rayner, and P. B. Corkum, “Exciton-seeded multiphoton ionization in bulk SiO2,” Phys. Rev. B 81(21), 212301 (2010).
[Crossref]

Phys. Rev. Lett. (5)

F. Shimizu, “Frequency broadening in liquids by a short light pulse,” Phys. Rev. Lett. 19(19), 1097–1100 (1967).
[Crossref]

P. Audebert, Ph. Daguzan, A. Dos Santos, J. C. Gauthier, J. P. Geindre, S. Guizard, G. Hamoniaux, K. Krastev, P. Martin, G. Petite, and A. Antonetti, “Space-time observation of an electron gas in SiO2.,” Phys. Rev. Lett. 73(14), 1990–1993 (1994).

S. Tzortzakis, L. Sudrie, M. Franco, B. Prade, A. Mysyrowicz, A. Couairon, and L. Bergé, “Self-guided propagation of ultrashort IR laser pulses in fused silica,” Phys. Rev. Lett. 87(21), 213902 (2001).
[Crossref] [PubMed]

R. A. Bartels, T. C. Weinacht, N. Wagner, M. Baertschy, C. H. Greene, M. M. Murnane, and H. C. Kapteyn, “Phase modulation of ultrashort light pulses using molecular rotational wave packets,” Phys. Rev. Lett. 88(1), 013903 (2001).
[Crossref] [PubMed]

L. Bergé, S. Skupin, and G. Steinmeyer, “Temporal self-restoration of compressed optical filaments,” Phys. Rev. Lett. 101(21), 213901 (2008).
[Crossref] [PubMed]

Thermal and shock induced modification inside a silica glass by focused femtosecond laser pulse (1)

M. Sakakura, M. Terazima, Y. Shimotsuma, K. Miura, and K. Hirao, “Thermal and shock induced modification inside a silica glass by focused femtosecond laser pulse,” J. Appl. Phys. 109, 023503 (2011).

Other (2)

D. Pestov, G. Rasskazov, A. Ryabtsev, I. Pastirk, and M. Dantus, “Shaper-based approach to real-time correction of ultrashort pulse phase drifts and transient pulse dispersion measurements,” EPJ Web of Conferences 41, 11007 (2013).
[Crossref]

G. P. Agrawal, Nonlinear Fiber Optics Third Edition (Academic, University of Rochester, 2001).Chap. 2.

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Figures (3)

Fig. 1
Fig. 1

Experimental setup for direct GDD measurements. NDF, neutral density filter; L1,2,3, lenses; SM1, 2, spherical mirrors; DM, chirped dielectric mirrors; SPEC, spectrometer.

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Fig. 2
Fig. 2

RT-MIIPS principle. Experimental SHG spectra for different GDD values. The SHG spectrum for transform limited pulse is shown as a dotted line for reference. Cubic spectral phase causes SHG spectral narrowing (green). The SHG peak value shifts towards longer (shorter) wavelengths in the presence of negative (positive) GDD, respectively.

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Fig. 3
Fig. 3

Group delay dispersion as a function of peak intensity after propagation through 1 mm of fused silica. (a) Experimental measurements. The applied initial pre-chirps are + 300 fs2 (red triangles), + 200 fs2 (pink triangles), 0 fs2 (black squares), −200 fs2 (blue circles), and −300 fs2 (dark blue circles). Dotted lines are corresponding linear fits. (b) Numerical, split-step Fourier transform, simulation without adjusting parameters. Initial pre-chirps are + 300 fs2 (red triangles), 0 fs2 (black squares), −300 fs2 (dark blue circles). Note that the simulation fails to predict anomalous laser induced GVD for negatively pre-chirped pulses.

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Equations (1)

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n 2 eff ≈ φ ″ (ω− ω 0 )⋅c 2 τ 0 2 ω 0 L⋅ I PEAK ,

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