Abstract

Filamentation of femtosecond laser pulses with spatial chirp in air is investigated numerically. Spatiotemporal redistribution of energy occurs initially due to the spatial chirp and is subsequently reinforced by group-velocity dispersion and self-focusing. It induces spatiotemporal rotation of pulse, curved multiple filaments, delay of filament onset distance, and enhancement of supercontinuum generation. The method of introducing spatial chirp to the laser pulse offers a new way to control filaments’ onset, distribution, and supercontinuum enhancement, which would be very useful in their potential applications.

© 2014 Optical Society of America

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  1. S. L. Chin, T. J. Wang, C. Marceau, J. Wu, J. S. Liu, O. Kosareva, N. Panov, Y. P. Chen, J. F. Daigle, S. Yuan, A. Azarm, W. W. Liu, T. Seideman, H. P. Zeng, M. Richardson, R. Li, and Z. Z. Xu, “Advances in intense femtosecond laser filamentation in air,” Laser Phys. 22, 1–53 (2012).
    [CrossRef]
  2. A. Couairon and A. Mysyrowicz, “Femtosecond filamentation in transparent media,” Phys. Rep. 441, 47–189 (2007).
    [CrossRef]
  3. 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]
  4. S. L. Chin, S. A. Hosseini, W. Liu, Q. Luo, F. Théberge, N. Aközbek, A. Becker, V. P. Kandidov, O. G. Kosareva, and H. Schroeder, “The propagation of powerful femtosecond laser pulses in optical media: physics, applications, and new challenges,” Can. J. Phys. 83, 863–905 (2005).
    [CrossRef]
  5. J. Kasparian, M. Rodriguez, G. Méjean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y.-B. André, A. Mysyrowicz, R. Sauerbrey, J.-P. Wolf, and L. Wöste, “White-light filaments for atmospheric analysis,” Science 301, 61–64 (2003).
    [CrossRef]
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    [CrossRef]
  7. P. Rohwetter, J. Kasparian, K. Stelmaszczyk, Z. Q. Hao, S. Henin, N. Lascoux, W. M. Nakaema, Y. Petit, M. QuerBer, R. Salamé, E. Salmon, L. Wöste, and J. P. Wolf, “Laser-induced water condensation in air,” Nat. Photonics 4, 451–456 (2010).
    [CrossRef]
  8. L. Bergé, S. Skupin, C. Köhler, I. Babushkin, and J. Herrmann, “3D Numerical simulations of THz generation by two-color laser filaments,” Phys. Rev. Lett. 110, 073901 (2013).
    [CrossRef]
  9. L. Bergé and S. Skupin, “Few-cycle light bullets created by femtosecond filaments,” Phys. Rev. Lett. 100, 113902 (2008).
    [CrossRef]
  10. F. Théberge, W. Liu, P. T. Simard, A. Becker, and S. L. Chin, “Plasma density inside a femtosecond laser filament in air: strong dependence on external focusing,” Phys. Rev. E 74, 036406 (2006).
    [CrossRef]
  11. P. P. Kiran, S. Bagchi, S. R. Krishnan, C. L. Arnold, G. R. Kumar, and A. Couairon, “Focal dynamics of multiple filaments: microscopic imaging and reconstruction,” Phys. Rev. A 82, 013805 (2010).
    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
  15. A. Camino, Z. Q. Hao, X. Liu, and J. Lin, “Control of laser filamentation in fused silica by a periodic microlens array,” Opt. Express 21, 7908–7915 (2013).
    [CrossRef]
  16. S. Champeaux and L. Bergé, “Long-range multifilamentation of femtosecond laser pulses versus air pressure,” Opt. Lett. 31, 1301–1303 (2006).
    [CrossRef]
  17. Z. M. Song and T. Nakajima, “Formation of filament and plasma channel by the Bessel incident beam in Ar gas: role of the outer part of the beam,” Opt. Express 18, 12923–12938 (2010).
    [CrossRef]
  18. G. Fibich, S. Eisenmann, B. Ilan, and Z. Zigler, “Control of multiple filamentation in air,” Opt. Lett. 29, 1772–1774 (2004).
    [CrossRef]
  19. R. Ackermann, E. Salmon, N. Lascoux, J. Kasparian, P. Rohwetter, K. Stelmaszczyk, S. Li, A. Lindinger, L. Wöste, P. Béjot, L. Bonacina, and J. P. Wolf, “Optimal control of filamentation in air,” Appl. Phys. Lett. 89, 171117 (2006).
    [CrossRef]
  20. J.-F. Daigle, A. Jaroń-Becker, S. Hosseini, T.-J. Wang, Y. Kamali, G. Roy, A. Becker, and S. L. Chin, “Intensity clamping measurement of laser filaments in air at 400 and 800  nm,” Phys. Rev. A 82, 023405 (2010).
    [CrossRef]
  21. R. Nuter, S. Skupin, and L. Bergé, “Chirp-induced dynamics of femtosecond filaments in air,” Opt. Lett. 30, 917–919 (2005).
    [CrossRef]
  22. M. Rodriguez, R. Bourayou, G. Méjean, J. Kasparian, J. Yu, E. Salmon, A. Scholz, B. Stecklum, J. Eislöffel, U. Laux, A. P. Hatzes, R. Sauerbrey, L. Wöste, and J. P. Wolf, “Kilometer-range nonlinear propagation of femtosecond laser pulses,” Phys. Rev. E 69, 036607 (2004).
    [CrossRef]
  23. I. S. Golubtsov, V. P. Kandidov, and O. G. Kosareva, “Initial phase modulation of a high-power femtosecond laser pulse as a tool for controlling its filamentation and generation of a supercontinuum in air,” Quantum Electron. 33, 525–530 (2003).
    [CrossRef]
  24. J. Park, J. Lee, and C. H. Nam, “Laser chirp effect on femtosecond laser filamentation generated for pulse compression,” Opt. Express 16, 4465–4470 (2008).
    [CrossRef]
  25. B. Zeng, W. Chu, H. Gao, W. Liu, G. Li, H. Zhang, J. Yao, J. Ni, S. L. Chin, Y. Cheng, and Z. Z. Xu, “Enhancement of peak intensity in a filament core with spatiotemporally focused femtosecond laser pulses,” Phys. Rev. A 84, 063819 (2011).
    [CrossRef]
  26. B. Zeng, T. J. Wang, S. Hosseini, Y. Cheng, Z. Z. Xu, W. Liu, and S. L. Chin, “Enhanced remote filament-induced breakdown spectroscopy with spatio-temporally chirped pulses,” J. Opt. Soc. Am. B 29, 3226–3230 (2012).
    [CrossRef]
  27. W. Liu and S. L. Chin, “Direct measurement of the critical power of femtosecond Ti:sapphire laser pulse in air,” Opt. Express 13, 5750–5755 (2005).
    [CrossRef]
  28. T. T. Xi, X. Lu, and J. Zhang, “Spatiotemporal moving focus of long femtosecond-laser filaments in air,” Phys. Rev. E 78, 055401 (2008).
    [CrossRef]
  29. F. He, H. Xu, Y. Cheng, J. Ni, H. Xiong, Z. Z. Xu, K. Sugioka, and K. Midorikawa, “Fabrication of microfluidic channels with a circular cross section using spatiotemporally focused femtosecond laser pulses,” Opt. Lett. 35, 1106–1108 (2010).
    [CrossRef]
  30. B. Shim, S. E. Schrauth, C. J. Hensley, L. T. Vuong, P. Hui, A. A. Ishaaya, and A. L. Gaeta, “Controlled interactions of femtosecond light filaments in air,” Phys. Rev. A 81, 061803 (2010).
    [CrossRef]

2013 (2)

L. Bergé, S. Skupin, C. Köhler, I. Babushkin, and J. Herrmann, “3D Numerical simulations of THz generation by two-color laser filaments,” Phys. Rev. Lett. 110, 073901 (2013).
[CrossRef]

A. Camino, Z. Q. Hao, X. Liu, and J. Lin, “Control of laser filamentation in fused silica by a periodic microlens array,” Opt. Express 21, 7908–7915 (2013).
[CrossRef]

2012 (3)

2011 (2)

B. Zeng, W. Chu, H. Gao, W. Liu, G. Li, H. Zhang, J. Yao, J. Ni, S. L. Chin, Y. Cheng, and Z. Z. Xu, “Enhancement of peak intensity in a filament core with spatiotemporally focused femtosecond laser pulses,” Phys. Rev. A 84, 063819 (2011).
[CrossRef]

Z. Q. Hao, K. Stelmaszczyk, P. Rohwetter, W. M. Nakaema, and L. Wöste, “Femtosecond laser filament-fringes in fused silica,” Opt. Express 19, 7799–7806 (2011).
[CrossRef]

2010 (6)

F. He, H. Xu, Y. Cheng, J. Ni, H. Xiong, Z. Z. Xu, K. Sugioka, and K. Midorikawa, “Fabrication of microfluidic channels with a circular cross section using spatiotemporally focused femtosecond laser pulses,” Opt. Lett. 35, 1106–1108 (2010).
[CrossRef]

Z. M. Song and T. Nakajima, “Formation of filament and plasma channel by the Bessel incident beam in Ar gas: role of the outer part of the beam,” Opt. Express 18, 12923–12938 (2010).
[CrossRef]

B. Shim, S. E. Schrauth, C. J. Hensley, L. T. Vuong, P. Hui, A. A. Ishaaya, and A. L. Gaeta, “Controlled interactions of femtosecond light filaments in air,” Phys. Rev. A 81, 061803 (2010).
[CrossRef]

P. Rohwetter, J. Kasparian, K. Stelmaszczyk, Z. Q. Hao, S. Henin, N. Lascoux, W. M. Nakaema, Y. Petit, M. QuerBer, R. Salamé, E. Salmon, L. Wöste, and J. P. Wolf, “Laser-induced water condensation in air,” Nat. Photonics 4, 451–456 (2010).
[CrossRef]

J.-F. Daigle, A. Jaroń-Becker, S. Hosseini, T.-J. Wang, Y. Kamali, G. Roy, A. Becker, and S. L. Chin, “Intensity clamping measurement of laser filaments in air at 400 and 800  nm,” Phys. Rev. A 82, 023405 (2010).
[CrossRef]

P. P. Kiran, S. Bagchi, S. R. Krishnan, C. L. Arnold, G. R. Kumar, and A. Couairon, “Focal dynamics of multiple filaments: microscopic imaging and reconstruction,” Phys. Rev. A 82, 013805 (2010).
[CrossRef]

2008 (3)

L. Bergé and S. Skupin, “Few-cycle light bullets created by femtosecond filaments,” Phys. Rev. Lett. 100, 113902 (2008).
[CrossRef]

T. T. Xi, X. Lu, and J. Zhang, “Spatiotemporal moving focus of long femtosecond-laser filaments in air,” Phys. Rev. E 78, 055401 (2008).
[CrossRef]

J. Park, J. Lee, and C. H. Nam, “Laser chirp effect on femtosecond laser filamentation generated for pulse compression,” Opt. Express 16, 4465–4470 (2008).
[CrossRef]

2007 (2)

A. Couairon and A. Mysyrowicz, “Femtosecond filamentation in transparent media,” Phys. Rep. 441, 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]

2006 (3)

F. Théberge, W. Liu, P. T. Simard, A. Becker, and S. L. Chin, “Plasma density inside a femtosecond laser filament in air: strong dependence on external focusing,” Phys. Rev. E 74, 036406 (2006).
[CrossRef]

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

S. Champeaux and L. Bergé, “Long-range multifilamentation of femtosecond laser pulses versus air pressure,” Opt. Lett. 31, 1301–1303 (2006).
[CrossRef]

2005 (4)

2004 (3)

G. Méchain, A. Couairon, M. Franco, B. Prade, and A. Mysyrowicz, “Organizing multiple femtosecond filaments in air,” Phys. Rev. Lett. 93, 035003 (2004).
[CrossRef]

M. Rodriguez, R. Bourayou, G. Méjean, J. Kasparian, J. Yu, E. Salmon, A. Scholz, B. Stecklum, J. Eislöffel, U. Laux, A. P. Hatzes, R. Sauerbrey, L. Wöste, and J. P. Wolf, “Kilometer-range nonlinear propagation of femtosecond laser pulses,” Phys. Rev. E 69, 036607 (2004).
[CrossRef]

G. Fibich, S. Eisenmann, B. Ilan, and Z. Zigler, “Control of multiple filamentation in air,” Opt. Lett. 29, 1772–1774 (2004).
[CrossRef]

2003 (2)

I. S. Golubtsov, V. P. Kandidov, and O. G. Kosareva, “Initial phase modulation of a high-power femtosecond laser pulse as a tool for controlling its filamentation and generation of a supercontinuum in air,” Quantum Electron. 33, 525–530 (2003).
[CrossRef]

J. Kasparian, M. Rodriguez, G. Méjean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y.-B. André, A. Mysyrowicz, R. Sauerbrey, J.-P. Wolf, and L. Wöste, “White-light filaments for atmospheric analysis,” Science 301, 61–64 (2003).
[CrossRef]

Ackermann, R.

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

Aközbek, N.

S. L. Chin, S. A. Hosseini, W. Liu, Q. Luo, F. Théberge, N. Aközbek, A. Becker, V. P. Kandidov, O. G. Kosareva, and H. Schroeder, “The propagation of powerful femtosecond laser pulses in optical media: physics, applications, and new challenges,” Can. J. Phys. 83, 863–905 (2005).
[CrossRef]

André, Y.-B.

J. Kasparian, M. Rodriguez, G. Méjean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y.-B. André, A. Mysyrowicz, R. Sauerbrey, J.-P. Wolf, and L. Wöste, “White-light filaments for atmospheric analysis,” Science 301, 61–64 (2003).
[CrossRef]

Arnold, C. L.

P. P. Kiran, S. Bagchi, S. R. Krishnan, C. L. Arnold, G. R. Kumar, and A. Couairon, “Focal dynamics of multiple filaments: microscopic imaging and reconstruction,” Phys. Rev. A 82, 013805 (2010).
[CrossRef]

Azarm, A.

S. L. Chin, T. J. Wang, C. Marceau, J. Wu, J. S. Liu, O. Kosareva, N. Panov, Y. P. Chen, J. F. Daigle, S. Yuan, A. Azarm, W. W. Liu, T. Seideman, H. P. Zeng, M. Richardson, R. Li, and Z. Z. Xu, “Advances in intense femtosecond laser filamentation in air,” Laser Phys. 22, 1–53 (2012).
[CrossRef]

Babushkin, I.

L. Bergé, S. Skupin, C. Köhler, I. Babushkin, and J. Herrmann, “3D Numerical simulations of THz generation by two-color laser filaments,” Phys. Rev. Lett. 110, 073901 (2013).
[CrossRef]

Bagchi, S.

P. P. Kiran, S. Bagchi, S. R. Krishnan, C. L. Arnold, G. R. Kumar, and A. Couairon, “Focal dynamics of multiple filaments: microscopic imaging and reconstruction,” Phys. Rev. A 82, 013805 (2010).
[CrossRef]

Becker, A.

J.-F. Daigle, A. Jaroń-Becker, S. Hosseini, T.-J. Wang, Y. Kamali, G. Roy, A. Becker, and S. L. Chin, “Intensity clamping measurement of laser filaments in air at 400 and 800  nm,” Phys. Rev. A 82, 023405 (2010).
[CrossRef]

F. Théberge, W. Liu, P. T. Simard, A. Becker, and S. L. Chin, “Plasma density inside a femtosecond laser filament in air: strong dependence on external focusing,” Phys. Rev. E 74, 036406 (2006).
[CrossRef]

S. L. Chin, S. A. Hosseini, W. Liu, Q. Luo, F. Théberge, N. Aközbek, A. Becker, V. P. Kandidov, O. G. Kosareva, and H. Schroeder, “The propagation of powerful femtosecond laser pulses in optical media: physics, applications, and new challenges,” Can. J. Phys. 83, 863–905 (2005).
[CrossRef]

Béjot, P.

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

Bergé, L.

L. Bergé, S. Skupin, C. Köhler, I. Babushkin, and J. Herrmann, “3D Numerical simulations of THz generation by two-color laser filaments,” Phys. Rev. Lett. 110, 073901 (2013).
[CrossRef]

L. Bergé and S. Skupin, “Few-cycle light bullets created by femtosecond filaments,” Phys. Rev. Lett. 100, 113902 (2008).
[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]

S. Champeaux and L. Bergé, “Long-range multifilamentation of femtosecond laser pulses versus air pressure,” Opt. Lett. 31, 1301–1303 (2006).
[CrossRef]

R. Nuter, S. Skupin, and L. Bergé, “Chirp-induced dynamics of femtosecond filaments in air,” Opt. Lett. 30, 917–919 (2005).
[CrossRef]

Bonacina, L.

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

Bourayou, R.

M. Rodriguez, R. Bourayou, G. Méjean, J. Kasparian, J. Yu, E. Salmon, A. Scholz, B. Stecklum, J. Eislöffel, U. Laux, A. P. Hatzes, R. Sauerbrey, L. Wöste, and J. P. Wolf, “Kilometer-range nonlinear propagation of femtosecond laser pulses,” Phys. Rev. E 69, 036607 (2004).
[CrossRef]

J. Kasparian, M. Rodriguez, G. Méjean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y.-B. André, A. Mysyrowicz, R. Sauerbrey, J.-P. Wolf, and L. Wöste, “White-light filaments for atmospheric analysis,” Science 301, 61–64 (2003).
[CrossRef]

Camino, A.

Champeaux, S.

Chen, Y. P.

S. L. Chin, T. J. Wang, C. Marceau, J. Wu, J. S. Liu, O. Kosareva, N. Panov, Y. P. Chen, J. F. Daigle, S. Yuan, A. Azarm, W. W. Liu, T. Seideman, H. P. Zeng, M. Richardson, R. Li, and Z. Z. Xu, “Advances in intense femtosecond laser filamentation in air,” Laser Phys. 22, 1–53 (2012).
[CrossRef]

Cheng, Y.

Chin, S. L.

S. L. Chin, T. J. Wang, C. Marceau, J. Wu, J. S. Liu, O. Kosareva, N. Panov, Y. P. Chen, J. F. Daigle, S. Yuan, A. Azarm, W. W. Liu, T. Seideman, H. P. Zeng, M. Richardson, R. Li, and Z. Z. Xu, “Advances in intense femtosecond laser filamentation in air,” Laser Phys. 22, 1–53 (2012).
[CrossRef]

B. Zeng, T. J. Wang, S. Hosseini, Y. Cheng, Z. Z. Xu, W. Liu, and S. L. Chin, “Enhanced remote filament-induced breakdown spectroscopy with spatio-temporally chirped pulses,” J. Opt. Soc. Am. B 29, 3226–3230 (2012).
[CrossRef]

B. Zeng, W. Chu, H. Gao, W. Liu, G. Li, H. Zhang, J. Yao, J. Ni, S. L. Chin, Y. Cheng, and Z. Z. Xu, “Enhancement of peak intensity in a filament core with spatiotemporally focused femtosecond laser pulses,” Phys. Rev. A 84, 063819 (2011).
[CrossRef]

J.-F. Daigle, A. Jaroń-Becker, S. Hosseini, T.-J. Wang, Y. Kamali, G. Roy, A. Becker, and S. L. Chin, “Intensity clamping measurement of laser filaments in air at 400 and 800  nm,” Phys. Rev. A 82, 023405 (2010).
[CrossRef]

F. Théberge, W. Liu, P. T. Simard, A. Becker, and S. L. Chin, “Plasma density inside a femtosecond laser filament in air: strong dependence on external focusing,” Phys. Rev. E 74, 036406 (2006).
[CrossRef]

S. L. Chin, S. A. Hosseini, W. Liu, Q. Luo, F. Théberge, N. Aközbek, A. Becker, V. P. Kandidov, O. G. Kosareva, and H. Schroeder, “The propagation of powerful femtosecond laser pulses in optical media: physics, applications, and new challenges,” Can. J. Phys. 83, 863–905 (2005).
[CrossRef]

W. Liu and S. L. Chin, “Direct measurement of the critical power of femtosecond Ti:sapphire laser pulse in air,” Opt. Express 13, 5750–5755 (2005).
[CrossRef]

Chu, W.

B. Zeng, W. Chu, H. Gao, W. Liu, G. Li, H. Zhang, J. Yao, J. Ni, S. L. Chin, Y. Cheng, and Z. Z. Xu, “Enhancement of peak intensity in a filament core with spatiotemporally focused femtosecond laser pulses,” Phys. Rev. A 84, 063819 (2011).
[CrossRef]

Couairon, A.

P. P. Kiran, S. Bagchi, S. R. Krishnan, C. L. Arnold, G. R. Kumar, and A. Couairon, “Focal dynamics of multiple filaments: microscopic imaging and reconstruction,” Phys. Rev. A 82, 013805 (2010).
[CrossRef]

A. Couairon and A. Mysyrowicz, “Femtosecond filamentation in transparent media,” Phys. Rep. 441, 47–189 (2007).
[CrossRef]

G. Méchain, A. Couairon, M. Franco, B. Prade, and A. Mysyrowicz, “Organizing multiple femtosecond filaments in air,” Phys. Rev. Lett. 93, 035003 (2004).
[CrossRef]

Daigle, J. F.

S. L. Chin, T. J. Wang, C. Marceau, J. Wu, J. S. Liu, O. Kosareva, N. Panov, Y. P. Chen, J. F. Daigle, S. Yuan, A. Azarm, W. W. Liu, T. Seideman, H. P. Zeng, M. Richardson, R. Li, and Z. Z. Xu, “Advances in intense femtosecond laser filamentation in air,” Laser Phys. 22, 1–53 (2012).
[CrossRef]

Daigle, J.-F.

J.-F. Daigle, A. Jaroń-Becker, S. Hosseini, T.-J. Wang, Y. Kamali, G. Roy, A. Becker, and S. L. Chin, “Intensity clamping measurement of laser filaments in air at 400 and 800  nm,” Phys. Rev. A 82, 023405 (2010).
[CrossRef]

Eisenmann, S.

Eislöffel, J.

M. Rodriguez, R. Bourayou, G. Méjean, J. Kasparian, J. Yu, E. Salmon, A. Scholz, B. Stecklum, J. Eislöffel, U. Laux, A. P. Hatzes, R. Sauerbrey, L. Wöste, and J. P. Wolf, “Kilometer-range nonlinear propagation of femtosecond laser pulses,” Phys. Rev. E 69, 036607 (2004).
[CrossRef]

Fibich, G.

Franco, M.

G. Méchain, A. Couairon, M. Franco, B. Prade, and A. Mysyrowicz, “Organizing multiple femtosecond filaments in air,” Phys. Rev. Lett. 93, 035003 (2004).
[CrossRef]

Frey, S.

J. Kasparian, M. Rodriguez, G. Méjean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y.-B. André, A. Mysyrowicz, R. Sauerbrey, J.-P. Wolf, and L. Wöste, “White-light filaments for atmospheric analysis,” Science 301, 61–64 (2003).
[CrossRef]

Gaeta, A. L.

B. Shim, S. E. Schrauth, C. J. Hensley, L. T. Vuong, P. Hui, A. A. Ishaaya, and A. L. Gaeta, “Controlled interactions of femtosecond light filaments in air,” Phys. Rev. A 81, 061803 (2010).
[CrossRef]

Gao, H.

B. Zeng, W. Chu, H. Gao, W. Liu, G. Li, H. Zhang, J. Yao, J. Ni, S. L. Chin, Y. Cheng, and Z. Z. Xu, “Enhancement of peak intensity in a filament core with spatiotemporally focused femtosecond laser pulses,” Phys. Rev. A 84, 063819 (2011).
[CrossRef]

Gao, X.

Golubtsov, I. S.

I. S. Golubtsov, V. P. Kandidov, and O. G. Kosareva, “Initial phase modulation of a high-power femtosecond laser pulse as a tool for controlling its filamentation and generation of a supercontinuum in air,” Quantum Electron. 33, 525–530 (2003).
[CrossRef]

Guo, K. M.

Hao, Z. Q.

Hatzes, A. P.

M. Rodriguez, R. Bourayou, G. Méjean, J. Kasparian, J. Yu, E. Salmon, A. Scholz, B. Stecklum, J. Eislöffel, U. Laux, A. P. Hatzes, R. Sauerbrey, L. Wöste, and J. P. Wolf, “Kilometer-range nonlinear propagation of femtosecond laser pulses,” Phys. Rev. E 69, 036607 (2004).
[CrossRef]

He, F.

Henin, S.

P. Rohwetter, J. Kasparian, K. Stelmaszczyk, Z. Q. Hao, S. Henin, N. Lascoux, W. M. Nakaema, Y. Petit, M. QuerBer, R. Salamé, E. Salmon, L. Wöste, and J. P. Wolf, “Laser-induced water condensation in air,” Nat. Photonics 4, 451–456 (2010).
[CrossRef]

Hensley, C. J.

B. Shim, S. E. Schrauth, C. J. Hensley, L. T. Vuong, P. Hui, A. A. Ishaaya, and A. L. Gaeta, “Controlled interactions of femtosecond light filaments in air,” Phys. Rev. A 81, 061803 (2010).
[CrossRef]

Herrmann, J.

L. Bergé, S. Skupin, C. Köhler, I. Babushkin, and J. Herrmann, “3D Numerical simulations of THz generation by two-color laser filaments,” Phys. Rev. Lett. 110, 073901 (2013).
[CrossRef]

Hosseini, S.

B. Zeng, T. J. Wang, S. Hosseini, Y. Cheng, Z. Z. Xu, W. Liu, and S. L. Chin, “Enhanced remote filament-induced breakdown spectroscopy with spatio-temporally chirped pulses,” J. Opt. Soc. Am. B 29, 3226–3230 (2012).
[CrossRef]

J.-F. Daigle, A. Jaroń-Becker, S. Hosseini, T.-J. Wang, Y. Kamali, G. Roy, A. Becker, and S. L. Chin, “Intensity clamping measurement of laser filaments in air at 400 and 800  nm,” Phys. Rev. A 82, 023405 (2010).
[CrossRef]

Hosseini, S. A.

S. L. Chin, S. A. Hosseini, W. Liu, Q. Luo, F. Théberge, N. Aközbek, A. Becker, V. P. Kandidov, O. G. Kosareva, and H. Schroeder, “The propagation of powerful femtosecond laser pulses in optical media: physics, applications, and new challenges,” Can. J. Phys. 83, 863–905 (2005).
[CrossRef]

Hui, P.

B. Shim, S. E. Schrauth, C. J. Hensley, L. T. Vuong, P. Hui, A. A. Ishaaya, and A. L. Gaeta, “Controlled interactions of femtosecond light filaments in air,” Phys. Rev. A 81, 061803 (2010).
[CrossRef]

Ilan, B.

Ishaaya, A. A.

B. Shim, S. E. Schrauth, C. J. Hensley, L. T. Vuong, P. Hui, A. A. Ishaaya, and A. L. Gaeta, “Controlled interactions of femtosecond light filaments in air,” Phys. Rev. A 81, 061803 (2010).
[CrossRef]

Jaron-Becker, A.

J.-F. Daigle, A. Jaroń-Becker, S. Hosseini, T.-J. Wang, Y. Kamali, G. Roy, A. Becker, and S. L. Chin, “Intensity clamping measurement of laser filaments in air at 400 and 800  nm,” Phys. Rev. A 82, 023405 (2010).
[CrossRef]

Jin, Z.

Kamali, Y.

J.-F. Daigle, A. Jaroń-Becker, S. Hosseini, T.-J. Wang, Y. Kamali, G. Roy, A. Becker, and S. L. Chin, “Intensity clamping measurement of laser filaments in air at 400 and 800  nm,” Phys. Rev. A 82, 023405 (2010).
[CrossRef]

Kandidov, V. P.

S. L. Chin, S. A. Hosseini, W. Liu, Q. Luo, F. Théberge, N. Aközbek, A. Becker, V. P. Kandidov, O. G. Kosareva, and H. Schroeder, “The propagation of powerful femtosecond laser pulses in optical media: physics, applications, and new challenges,” Can. J. Phys. 83, 863–905 (2005).
[CrossRef]

I. S. Golubtsov, V. P. Kandidov, and O. G. Kosareva, “Initial phase modulation of a high-power femtosecond laser pulse as a tool for controlling its filamentation and generation of a supercontinuum in air,” Quantum Electron. 33, 525–530 (2003).
[CrossRef]

Kasparian, J.

P. Rohwetter, J. Kasparian, K. Stelmaszczyk, Z. Q. Hao, S. Henin, N. Lascoux, W. M. Nakaema, Y. Petit, M. QuerBer, R. Salamé, E. Salmon, L. Wöste, and J. P. Wolf, “Laser-induced water condensation in air,” Nat. Photonics 4, 451–456 (2010).
[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]

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

M. Rodriguez, R. Bourayou, G. Méjean, J. Kasparian, J. Yu, E. Salmon, A. Scholz, B. Stecklum, J. Eislöffel, U. Laux, A. P. Hatzes, R. Sauerbrey, L. Wöste, and J. P. Wolf, “Kilometer-range nonlinear propagation of femtosecond laser pulses,” Phys. Rev. E 69, 036607 (2004).
[CrossRef]

J. Kasparian, M. Rodriguez, G. Méjean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y.-B. André, A. Mysyrowicz, R. Sauerbrey, J.-P. Wolf, and L. Wöste, “White-light filaments for atmospheric analysis,” Science 301, 61–64 (2003).
[CrossRef]

Kiran, P. P.

P. P. Kiran, S. Bagchi, S. R. Krishnan, C. L. Arnold, G. R. Kumar, and A. Couairon, “Focal dynamics of multiple filaments: microscopic imaging and reconstruction,” Phys. Rev. A 82, 013805 (2010).
[CrossRef]

Köhler, C.

L. Bergé, S. Skupin, C. Köhler, I. Babushkin, and J. Herrmann, “3D Numerical simulations of THz generation by two-color laser filaments,” Phys. Rev. Lett. 110, 073901 (2013).
[CrossRef]

Kosareva, O.

S. L. Chin, T. J. Wang, C. Marceau, J. Wu, J. S. Liu, O. Kosareva, N. Panov, Y. P. Chen, J. F. Daigle, S. Yuan, A. Azarm, W. W. Liu, T. Seideman, H. P. Zeng, M. Richardson, R. Li, and Z. Z. Xu, “Advances in intense femtosecond laser filamentation in air,” Laser Phys. 22, 1–53 (2012).
[CrossRef]

Kosareva, O. G.

S. L. Chin, S. A. Hosseini, W. Liu, Q. Luo, F. Théberge, N. Aközbek, A. Becker, V. P. Kandidov, O. G. Kosareva, and H. Schroeder, “The propagation of powerful femtosecond laser pulses in optical media: physics, applications, and new challenges,” Can. J. Phys. 83, 863–905 (2005).
[CrossRef]

I. S. Golubtsov, V. P. Kandidov, and O. G. Kosareva, “Initial phase modulation of a high-power femtosecond laser pulse as a tool for controlling its filamentation and generation of a supercontinuum in air,” Quantum Electron. 33, 525–530 (2003).
[CrossRef]

Krishnan, S. R.

P. P. Kiran, S. Bagchi, S. R. Krishnan, C. L. Arnold, G. R. Kumar, and A. Couairon, “Focal dynamics of multiple filaments: microscopic imaging and reconstruction,” Phys. Rev. A 82, 013805 (2010).
[CrossRef]

Kumar, G. R.

P. P. Kiran, S. Bagchi, S. R. Krishnan, C. L. Arnold, G. R. Kumar, and A. Couairon, “Focal dynamics of multiple filaments: microscopic imaging and reconstruction,” Phys. Rev. A 82, 013805 (2010).
[CrossRef]

Lascoux, N.

P. Rohwetter, J. Kasparian, K. Stelmaszczyk, Z. Q. Hao, S. Henin, N. Lascoux, W. M. Nakaema, Y. Petit, M. QuerBer, R. Salamé, E. Salmon, L. Wöste, and J. P. Wolf, “Laser-induced water condensation in air,” Nat. Photonics 4, 451–456 (2010).
[CrossRef]

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

Laux, U.

M. Rodriguez, R. Bourayou, G. Méjean, J. Kasparian, J. Yu, E. Salmon, A. Scholz, B. Stecklum, J. Eislöffel, U. Laux, A. P. Hatzes, R. Sauerbrey, L. Wöste, and J. P. Wolf, “Kilometer-range nonlinear propagation of femtosecond laser pulses,” Phys. Rev. E 69, 036607 (2004).
[CrossRef]

Lee, J.

Li, B. Z.

Li, G.

B. Zeng, W. Chu, H. Gao, W. Liu, G. Li, H. Zhang, J. Yao, J. Ni, S. L. Chin, Y. Cheng, and Z. Z. Xu, “Enhancement of peak intensity in a filament core with spatiotemporally focused femtosecond laser pulses,” Phys. Rev. A 84, 063819 (2011).
[CrossRef]

Li, R.

S. L. Chin, T. J. Wang, C. Marceau, J. Wu, J. S. Liu, O. Kosareva, N. Panov, Y. P. Chen, J. F. Daigle, S. Yuan, A. Azarm, W. W. Liu, T. Seideman, H. P. Zeng, M. Richardson, R. Li, and Z. Z. Xu, “Advances in intense femtosecond laser filamentation in air,” Laser Phys. 22, 1–53 (2012).
[CrossRef]

Li, S.

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

Li, Y. T.

Lin, J.

Lin, J. Q.

Lindinger, A.

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

Liu, J. S.

S. L. Chin, T. J. Wang, C. Marceau, J. Wu, J. S. Liu, O. Kosareva, N. Panov, Y. P. Chen, J. F. Daigle, S. Yuan, A. Azarm, W. W. Liu, T. Seideman, H. P. Zeng, M. Richardson, R. Li, and Z. Z. Xu, “Advances in intense femtosecond laser filamentation in air,” Laser Phys. 22, 1–53 (2012).
[CrossRef]

Liu, W.

B. Zeng, T. J. Wang, S. Hosseini, Y. Cheng, Z. Z. Xu, W. Liu, and S. L. Chin, “Enhanced remote filament-induced breakdown spectroscopy with spatio-temporally chirped pulses,” J. Opt. Soc. Am. B 29, 3226–3230 (2012).
[CrossRef]

B. Zeng, W. Chu, H. Gao, W. Liu, G. Li, H. Zhang, J. Yao, J. Ni, S. L. Chin, Y. Cheng, and Z. Z. Xu, “Enhancement of peak intensity in a filament core with spatiotemporally focused femtosecond laser pulses,” Phys. Rev. A 84, 063819 (2011).
[CrossRef]

F. Théberge, W. Liu, P. T. Simard, A. Becker, and S. L. Chin, “Plasma density inside a femtosecond laser filament in air: strong dependence on external focusing,” Phys. Rev. E 74, 036406 (2006).
[CrossRef]

S. L. Chin, S. A. Hosseini, W. Liu, Q. Luo, F. Théberge, N. Aközbek, A. Becker, V. P. Kandidov, O. G. Kosareva, and H. Schroeder, “The propagation of powerful femtosecond laser pulses in optical media: physics, applications, and new challenges,” Can. J. Phys. 83, 863–905 (2005).
[CrossRef]

W. Liu and S. L. Chin, “Direct measurement of the critical power of femtosecond Ti:sapphire laser pulse in air,” Opt. Express 13, 5750–5755 (2005).
[CrossRef]

Liu, W. W.

S. L. Chin, T. J. Wang, C. Marceau, J. Wu, J. S. Liu, O. Kosareva, N. Panov, Y. P. Chen, J. F. Daigle, S. Yuan, A. Azarm, W. W. Liu, T. Seideman, H. P. Zeng, M. Richardson, R. Li, and Z. Z. Xu, “Advances in intense femtosecond laser filamentation in air,” Laser Phys. 22, 1–53 (2012).
[CrossRef]

Liu, X.

Lu, X.

Luo, Q.

S. L. Chin, S. A. Hosseini, W. Liu, Q. Luo, F. Théberge, N. Aközbek, A. Becker, V. P. Kandidov, O. G. Kosareva, and H. Schroeder, “The propagation of powerful femtosecond laser pulses in optical media: physics, applications, and new challenges,” Can. J. Phys. 83, 863–905 (2005).
[CrossRef]

Marceau, C.

S. L. Chin, T. J. Wang, C. Marceau, J. Wu, J. S. Liu, O. Kosareva, N. Panov, Y. P. Chen, J. F. Daigle, S. Yuan, A. Azarm, W. W. Liu, T. Seideman, H. P. Zeng, M. Richardson, R. Li, and Z. Z. Xu, “Advances in intense femtosecond laser filamentation in air,” Laser Phys. 22, 1–53 (2012).
[CrossRef]

Méchain, G.

G. Méchain, A. Couairon, M. Franco, B. Prade, and A. Mysyrowicz, “Organizing multiple femtosecond filaments in air,” Phys. Rev. Lett. 93, 035003 (2004).
[CrossRef]

Méjean, G.

M. Rodriguez, R. Bourayou, G. Méjean, J. Kasparian, J. Yu, E. Salmon, A. Scholz, B. Stecklum, J. Eislöffel, U. Laux, A. P. Hatzes, R. Sauerbrey, L. Wöste, and J. P. Wolf, “Kilometer-range nonlinear propagation of femtosecond laser pulses,” Phys. Rev. E 69, 036607 (2004).
[CrossRef]

J. Kasparian, M. Rodriguez, G. Méjean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y.-B. André, A. Mysyrowicz, R. Sauerbrey, J.-P. Wolf, and L. Wöste, “White-light filaments for atmospheric analysis,” Science 301, 61–64 (2003).
[CrossRef]

Midorikawa, K.

Mysyrowicz, A.

A. Couairon and A. Mysyrowicz, “Femtosecond filamentation in transparent media,” Phys. Rep. 441, 47–189 (2007).
[CrossRef]

G. Méchain, A. Couairon, M. Franco, B. Prade, and A. Mysyrowicz, “Organizing multiple femtosecond filaments in air,” Phys. Rev. Lett. 93, 035003 (2004).
[CrossRef]

J. Kasparian, M. Rodriguez, G. Méjean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y.-B. André, A. Mysyrowicz, R. Sauerbrey, J.-P. Wolf, and L. Wöste, “White-light filaments for atmospheric analysis,” Science 301, 61–64 (2003).
[CrossRef]

Nakaema, W. M.

Z. Q. Hao, K. Stelmaszczyk, P. Rohwetter, W. M. Nakaema, and L. Wöste, “Femtosecond laser filament-fringes in fused silica,” Opt. Express 19, 7799–7806 (2011).
[CrossRef]

P. Rohwetter, J. Kasparian, K. Stelmaszczyk, Z. Q. Hao, S. Henin, N. Lascoux, W. M. Nakaema, Y. Petit, M. QuerBer, R. Salamé, E. Salmon, L. Wöste, and J. P. Wolf, “Laser-induced water condensation in air,” Nat. Photonics 4, 451–456 (2010).
[CrossRef]

Nakajima, T.

Nam, C. H.

Ni, J.

B. Zeng, W. Chu, H. Gao, W. Liu, G. Li, H. Zhang, J. Yao, J. Ni, S. L. Chin, Y. Cheng, and Z. Z. Xu, “Enhancement of peak intensity in a filament core with spatiotemporally focused femtosecond laser pulses,” Phys. Rev. A 84, 063819 (2011).
[CrossRef]

F. He, H. Xu, Y. Cheng, J. Ni, H. Xiong, Z. Z. Xu, K. Sugioka, and K. Midorikawa, “Fabrication of microfluidic channels with a circular cross section using spatiotemporally focused femtosecond laser pulses,” Opt. Lett. 35, 1106–1108 (2010).
[CrossRef]

Nuter, R.

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]

R. Nuter, S. Skupin, and L. Bergé, “Chirp-induced dynamics of femtosecond filaments in air,” Opt. Lett. 30, 917–919 (2005).
[CrossRef]

Panov, N.

S. L. Chin, T. J. Wang, C. Marceau, J. Wu, J. S. Liu, O. Kosareva, N. Panov, Y. P. Chen, J. F. Daigle, S. Yuan, A. Azarm, W. W. Liu, T. Seideman, H. P. Zeng, M. Richardson, R. Li, and Z. Z. Xu, “Advances in intense femtosecond laser filamentation in air,” Laser Phys. 22, 1–53 (2012).
[CrossRef]

Park, J.

Petit, Y.

P. Rohwetter, J. Kasparian, K. Stelmaszczyk, Z. Q. Hao, S. Henin, N. Lascoux, W. M. Nakaema, Y. Petit, M. QuerBer, R. Salamé, E. Salmon, L. Wöste, and J. P. Wolf, “Laser-induced water condensation in air,” Nat. Photonics 4, 451–456 (2010).
[CrossRef]

Prade, B.

G. Méchain, A. Couairon, M. Franco, B. Prade, and A. Mysyrowicz, “Organizing multiple femtosecond filaments in air,” Phys. Rev. Lett. 93, 035003 (2004).
[CrossRef]

QuerBer, M.

P. Rohwetter, J. Kasparian, K. Stelmaszczyk, Z. Q. Hao, S. Henin, N. Lascoux, W. M. Nakaema, Y. Petit, M. QuerBer, R. Salamé, E. Salmon, L. Wöste, and J. P. Wolf, “Laser-induced water condensation in air,” Nat. Photonics 4, 451–456 (2010).
[CrossRef]

Richardson, M.

S. L. Chin, T. J. Wang, C. Marceau, J. Wu, J. S. Liu, O. Kosareva, N. Panov, Y. P. Chen, J. F. Daigle, S. Yuan, A. Azarm, W. W. Liu, T. Seideman, H. P. Zeng, M. Richardson, R. Li, and Z. Z. Xu, “Advances in intense femtosecond laser filamentation in air,” Laser Phys. 22, 1–53 (2012).
[CrossRef]

Rodriguez, M.

M. Rodriguez, R. Bourayou, G. Méjean, J. Kasparian, J. Yu, E. Salmon, A. Scholz, B. Stecklum, J. Eislöffel, U. Laux, A. P. Hatzes, R. Sauerbrey, L. Wöste, and J. P. Wolf, “Kilometer-range nonlinear propagation of femtosecond laser pulses,” Phys. Rev. E 69, 036607 (2004).
[CrossRef]

J. Kasparian, M. Rodriguez, G. Méjean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y.-B. André, A. Mysyrowicz, R. Sauerbrey, J.-P. Wolf, and L. Wöste, “White-light filaments for atmospheric analysis,” Science 301, 61–64 (2003).
[CrossRef]

Rohwetter, P.

Z. Q. Hao, K. Stelmaszczyk, P. Rohwetter, W. M. Nakaema, and L. Wöste, “Femtosecond laser filament-fringes in fused silica,” Opt. Express 19, 7799–7806 (2011).
[CrossRef]

P. Rohwetter, J. Kasparian, K. Stelmaszczyk, Z. Q. Hao, S. Henin, N. Lascoux, W. M. Nakaema, Y. Petit, M. QuerBer, R. Salamé, E. Salmon, L. Wöste, and J. P. Wolf, “Laser-induced water condensation in air,” Nat. Photonics 4, 451–456 (2010).
[CrossRef]

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

Roy, G.

J.-F. Daigle, A. Jaroń-Becker, S. Hosseini, T.-J. Wang, Y. Kamali, G. Roy, A. Becker, and S. L. Chin, “Intensity clamping measurement of laser filaments in air at 400 and 800  nm,” Phys. Rev. A 82, 023405 (2010).
[CrossRef]

Salamé, R.

P. Rohwetter, J. Kasparian, K. Stelmaszczyk, Z. Q. Hao, S. Henin, N. Lascoux, W. M. Nakaema, Y. Petit, M. QuerBer, R. Salamé, E. Salmon, L. Wöste, and J. P. Wolf, “Laser-induced water condensation in air,” Nat. Photonics 4, 451–456 (2010).
[CrossRef]

Salmon, E.

P. Rohwetter, J. Kasparian, K. Stelmaszczyk, Z. Q. Hao, S. Henin, N. Lascoux, W. M. Nakaema, Y. Petit, M. QuerBer, R. Salamé, E. Salmon, L. Wöste, and J. P. Wolf, “Laser-induced water condensation in air,” Nat. Photonics 4, 451–456 (2010).
[CrossRef]

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

M. Rodriguez, R. Bourayou, G. Méjean, J. Kasparian, J. Yu, E. Salmon, A. Scholz, B. Stecklum, J. Eislöffel, U. Laux, A. P. Hatzes, R. Sauerbrey, L. Wöste, and J. P. Wolf, “Kilometer-range nonlinear propagation of femtosecond laser pulses,” Phys. Rev. E 69, 036607 (2004).
[CrossRef]

J. Kasparian, M. Rodriguez, G. Méjean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y.-B. André, A. Mysyrowicz, R. Sauerbrey, J.-P. Wolf, and L. Wöste, “White-light filaments for atmospheric analysis,” Science 301, 61–64 (2003).
[CrossRef]

Sauerbrey, R.

M. Rodriguez, R. Bourayou, G. Méjean, J. Kasparian, J. Yu, E. Salmon, A. Scholz, B. Stecklum, J. Eislöffel, U. Laux, A. P. Hatzes, R. Sauerbrey, L. Wöste, and J. P. Wolf, “Kilometer-range nonlinear propagation of femtosecond laser pulses,” Phys. Rev. E 69, 036607 (2004).
[CrossRef]

J. Kasparian, M. Rodriguez, G. Méjean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y.-B. André, A. Mysyrowicz, R. Sauerbrey, J.-P. Wolf, and L. Wöste, “White-light filaments for atmospheric analysis,” Science 301, 61–64 (2003).
[CrossRef]

Scholz, A.

M. Rodriguez, R. Bourayou, G. Méjean, J. Kasparian, J. Yu, E. Salmon, A. Scholz, B. Stecklum, J. Eislöffel, U. Laux, A. P. Hatzes, R. Sauerbrey, L. Wöste, and J. P. Wolf, “Kilometer-range nonlinear propagation of femtosecond laser pulses,” Phys. Rev. E 69, 036607 (2004).
[CrossRef]

Schrauth, S. E.

B. Shim, S. E. Schrauth, C. J. Hensley, L. T. Vuong, P. Hui, A. A. Ishaaya, and A. L. Gaeta, “Controlled interactions of femtosecond light filaments in air,” Phys. Rev. A 81, 061803 (2010).
[CrossRef]

Schroeder, H.

S. L. Chin, S. A. Hosseini, W. Liu, Q. Luo, F. Théberge, N. Aközbek, A. Becker, V. P. Kandidov, O. G. Kosareva, and H. Schroeder, “The propagation of powerful femtosecond laser pulses in optical media: physics, applications, and new challenges,” Can. J. Phys. 83, 863–905 (2005).
[CrossRef]

Seideman, T.

S. L. Chin, T. J. Wang, C. Marceau, J. Wu, J. S. Liu, O. Kosareva, N. Panov, Y. P. Chen, J. F. Daigle, S. Yuan, A. Azarm, W. W. Liu, T. Seideman, H. P. Zeng, M. Richardson, R. Li, and Z. Z. Xu, “Advances in intense femtosecond laser filamentation in air,” Laser Phys. 22, 1–53 (2012).
[CrossRef]

Shim, B.

B. Shim, S. E. Schrauth, C. J. Hensley, L. T. Vuong, P. Hui, A. A. Ishaaya, and A. L. Gaeta, “Controlled interactions of femtosecond light filaments in air,” Phys. Rev. A 81, 061803 (2010).
[CrossRef]

Simard, P. T.

F. Théberge, W. Liu, P. T. Simard, A. Becker, and S. L. Chin, “Plasma density inside a femtosecond laser filament in air: strong dependence on external focusing,” Phys. Rev. E 74, 036406 (2006).
[CrossRef]

Skupin, S.

L. Bergé, S. Skupin, C. Köhler, I. Babushkin, and J. Herrmann, “3D Numerical simulations of THz generation by two-color laser filaments,” Phys. Rev. Lett. 110, 073901 (2013).
[CrossRef]

L. Bergé and S. Skupin, “Few-cycle light bullets created by femtosecond filaments,” Phys. Rev. Lett. 100, 113902 (2008).
[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]

R. Nuter, S. Skupin, and L. Bergé, “Chirp-induced dynamics of femtosecond filaments in air,” Opt. Lett. 30, 917–919 (2005).
[CrossRef]

Song, Z. M.

Stecklum, B.

M. Rodriguez, R. Bourayou, G. Méjean, J. Kasparian, J. Yu, E. Salmon, A. Scholz, B. Stecklum, J. Eislöffel, U. Laux, A. P. Hatzes, R. Sauerbrey, L. Wöste, and J. P. Wolf, “Kilometer-range nonlinear propagation of femtosecond laser pulses,” Phys. Rev. E 69, 036607 (2004).
[CrossRef]

Stelmaszczyk, K.

Z. Q. Hao, K. Stelmaszczyk, P. Rohwetter, W. M. Nakaema, and L. Wöste, “Femtosecond laser filament-fringes in fused silica,” Opt. Express 19, 7799–7806 (2011).
[CrossRef]

P. Rohwetter, J. Kasparian, K. Stelmaszczyk, Z. Q. Hao, S. Henin, N. Lascoux, W. M. Nakaema, Y. Petit, M. QuerBer, R. Salamé, E. Salmon, L. Wöste, and J. P. Wolf, “Laser-induced water condensation in air,” Nat. Photonics 4, 451–456 (2010).
[CrossRef]

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

Sugioka, K.

Sun, C. K.

Théberge, F.

F. Théberge, W. Liu, P. T. Simard, A. Becker, and S. L. Chin, “Plasma density inside a femtosecond laser filament in air: strong dependence on external focusing,” Phys. Rev. E 74, 036406 (2006).
[CrossRef]

S. L. Chin, S. A. Hosseini, W. Liu, Q. Luo, F. Théberge, N. Aközbek, A. Becker, V. P. Kandidov, O. G. Kosareva, and H. Schroeder, “The propagation of powerful femtosecond laser pulses in optical media: physics, applications, and new challenges,” Can. J. Phys. 83, 863–905 (2005).
[CrossRef]

Vuong, L. T.

B. Shim, S. E. Schrauth, C. J. Hensley, L. T. Vuong, P. Hui, A. A. Ishaaya, and A. L. Gaeta, “Controlled interactions of femtosecond light filaments in air,” Phys. Rev. A 81, 061803 (2010).
[CrossRef]

Wang, T. J.

B. Zeng, T. J. Wang, S. Hosseini, Y. Cheng, Z. Z. Xu, W. Liu, and S. L. Chin, “Enhanced remote filament-induced breakdown spectroscopy with spatio-temporally chirped pulses,” J. Opt. Soc. Am. B 29, 3226–3230 (2012).
[CrossRef]

S. L. Chin, T. J. Wang, C. Marceau, J. Wu, J. S. Liu, O. Kosareva, N. Panov, Y. P. Chen, J. F. Daigle, S. Yuan, A. Azarm, W. W. Liu, T. Seideman, H. P. Zeng, M. Richardson, R. Li, and Z. Z. Xu, “Advances in intense femtosecond laser filamentation in air,” Laser Phys. 22, 1–53 (2012).
[CrossRef]

Wang, T.-J.

J.-F. Daigle, A. Jaroń-Becker, S. Hosseini, T.-J. Wang, Y. Kamali, G. Roy, A. Becker, and S. L. Chin, “Intensity clamping measurement of laser filaments in air at 400 and 800  nm,” Phys. Rev. A 82, 023405 (2010).
[CrossRef]

Wang, Z. H.

Wei, Z. Y.

Wille, H.

J. Kasparian, M. Rodriguez, G. Méjean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y.-B. André, A. Mysyrowicz, R. Sauerbrey, J.-P. Wolf, and L. Wöste, “White-light filaments for atmospheric analysis,” Science 301, 61–64 (2003).
[CrossRef]

Wolf, J. P.

P. Rohwetter, J. Kasparian, K. Stelmaszczyk, Z. Q. Hao, S. Henin, N. Lascoux, W. M. Nakaema, Y. Petit, M. QuerBer, R. Salamé, E. Salmon, L. Wöste, and J. P. Wolf, “Laser-induced water condensation in air,” Nat. Photonics 4, 451–456 (2010).
[CrossRef]

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

M. Rodriguez, R. Bourayou, G. Méjean, J. Kasparian, J. Yu, E. Salmon, A. Scholz, B. Stecklum, J. Eislöffel, U. Laux, A. P. Hatzes, R. Sauerbrey, L. Wöste, and J. P. Wolf, “Kilometer-range nonlinear propagation of femtosecond laser pulses,” Phys. Rev. E 69, 036607 (2004).
[CrossRef]

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, M. Rodriguez, G. Méjean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y.-B. André, A. Mysyrowicz, R. Sauerbrey, J.-P. Wolf, and L. Wöste, “White-light filaments for atmospheric analysis,” Science 301, 61–64 (2003).
[CrossRef]

Wöste, L.

Z. Q. Hao, K. Stelmaszczyk, P. Rohwetter, W. M. Nakaema, and L. Wöste, “Femtosecond laser filament-fringes in fused silica,” Opt. Express 19, 7799–7806 (2011).
[CrossRef]

P. Rohwetter, J. Kasparian, K. Stelmaszczyk, Z. Q. Hao, S. Henin, N. Lascoux, W. M. Nakaema, Y. Petit, M. QuerBer, R. Salamé, E. Salmon, L. Wöste, and J. P. Wolf, “Laser-induced water condensation in air,” Nat. Photonics 4, 451–456 (2010).
[CrossRef]

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

M. Rodriguez, R. Bourayou, G. Méjean, J. Kasparian, J. Yu, E. Salmon, A. Scholz, B. Stecklum, J. Eislöffel, U. Laux, A. P. Hatzes, R. Sauerbrey, L. Wöste, and J. P. Wolf, “Kilometer-range nonlinear propagation of femtosecond laser pulses,” Phys. Rev. E 69, 036607 (2004).
[CrossRef]

J. Kasparian, M. Rodriguez, G. Méjean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y.-B. André, A. Mysyrowicz, R. Sauerbrey, J.-P. Wolf, and L. Wöste, “White-light filaments for atmospheric analysis,” Science 301, 61–64 (2003).
[CrossRef]

Wu, J.

S. L. Chin, T. J. Wang, C. Marceau, J. Wu, J. S. Liu, O. Kosareva, N. Panov, Y. P. Chen, J. F. Daigle, S. Yuan, A. Azarm, W. W. Liu, T. Seideman, H. P. Zeng, M. Richardson, R. Li, and Z. Z. Xu, “Advances in intense femtosecond laser filamentation in air,” Laser Phys. 22, 1–53 (2012).
[CrossRef]

Xi, T. T.

T. T. Xi, X. Lu, and J. Zhang, “Spatiotemporal moving focus of long femtosecond-laser filaments in air,” Phys. Rev. E 78, 055401 (2008).
[CrossRef]

Xiong, H.

Xu, H.

Xu, M. H.

Xu, Z. Z.

S. L. Chin, T. J. Wang, C. Marceau, J. Wu, J. S. Liu, O. Kosareva, N. Panov, Y. P. Chen, J. F. Daigle, S. Yuan, A. Azarm, W. W. Liu, T. Seideman, H. P. Zeng, M. Richardson, R. Li, and Z. Z. Xu, “Advances in intense femtosecond laser filamentation in air,” Laser Phys. 22, 1–53 (2012).
[CrossRef]

B. Zeng, T. J. Wang, S. Hosseini, Y. Cheng, Z. Z. Xu, W. Liu, and S. L. Chin, “Enhanced remote filament-induced breakdown spectroscopy with spatio-temporally chirped pulses,” J. Opt. Soc. Am. B 29, 3226–3230 (2012).
[CrossRef]

B. Zeng, W. Chu, H. Gao, W. Liu, G. Li, H. Zhang, J. Yao, J. Ni, S. L. Chin, Y. Cheng, and Z. Z. Xu, “Enhancement of peak intensity in a filament core with spatiotemporally focused femtosecond laser pulses,” Phys. Rev. A 84, 063819 (2011).
[CrossRef]

F. He, H. Xu, Y. Cheng, J. Ni, H. Xiong, Z. Z. Xu, K. Sugioka, and K. Midorikawa, “Fabrication of microfluidic channels with a circular cross section using spatiotemporally focused femtosecond laser pulses,” Opt. Lett. 35, 1106–1108 (2010).
[CrossRef]

Yao, J.

B. Zeng, W. Chu, H. Gao, W. Liu, G. Li, H. Zhang, J. Yao, J. Ni, S. L. Chin, Y. Cheng, and Z. Z. Xu, “Enhancement of peak intensity in a filament core with spatiotemporally focused femtosecond laser pulses,” Phys. Rev. A 84, 063819 (2011).
[CrossRef]

Yu, J.

M. Rodriguez, R. Bourayou, G. Méjean, J. Kasparian, J. Yu, E. Salmon, A. Scholz, B. Stecklum, J. Eislöffel, U. Laux, A. P. Hatzes, R. Sauerbrey, L. Wöste, and J. P. Wolf, “Kilometer-range nonlinear propagation of femtosecond laser pulses,” Phys. Rev. E 69, 036607 (2004).
[CrossRef]

J. Kasparian, M. Rodriguez, G. Méjean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y.-B. André, A. Mysyrowicz, R. Sauerbrey, J.-P. Wolf, and L. Wöste, “White-light filaments for atmospheric analysis,” Science 301, 61–64 (2003).
[CrossRef]

Yu, W.

Yuan, S.

S. L. Chin, T. J. Wang, C. Marceau, J. Wu, J. S. Liu, O. Kosareva, N. Panov, Y. P. Chen, J. F. Daigle, S. Yuan, A. Azarm, W. W. Liu, T. Seideman, H. P. Zeng, M. Richardson, R. Li, and Z. Z. Xu, “Advances in intense femtosecond laser filamentation in air,” Laser Phys. 22, 1–53 (2012).
[CrossRef]

Yuan, X. H.

Zeng, B.

B. Zeng, T. J. Wang, S. Hosseini, Y. Cheng, Z. Z. Xu, W. Liu, and S. L. Chin, “Enhanced remote filament-induced breakdown spectroscopy with spatio-temporally chirped pulses,” J. Opt. Soc. Am. B 29, 3226–3230 (2012).
[CrossRef]

B. Zeng, W. Chu, H. Gao, W. Liu, G. Li, H. Zhang, J. Yao, J. Ni, S. L. Chin, Y. Cheng, and Z. Z. Xu, “Enhancement of peak intensity in a filament core with spatiotemporally focused femtosecond laser pulses,” Phys. Rev. A 84, 063819 (2011).
[CrossRef]

Zeng, H. P.

S. L. Chin, T. J. Wang, C. Marceau, J. Wu, J. S. Liu, O. Kosareva, N. Panov, Y. P. Chen, J. F. Daigle, S. Yuan, A. Azarm, W. W. Liu, T. Seideman, H. P. Zeng, M. Richardson, R. Li, and Z. Z. Xu, “Advances in intense femtosecond laser filamentation in air,” Laser Phys. 22, 1–53 (2012).
[CrossRef]

Zhang, H.

B. Zeng, W. Chu, H. Gao, W. Liu, G. Li, H. Zhang, J. Yao, J. Ni, S. L. Chin, Y. Cheng, and Z. Z. Xu, “Enhancement of peak intensity in a filament core with spatiotemporally focused femtosecond laser pulses,” Phys. Rev. A 84, 063819 (2011).
[CrossRef]

Zhang, J.

Zhao, Z. M.

Zigler, Z.

Appl. Phys. Lett. (1)

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

Can. J. Phys. (1)

S. L. Chin, S. A. Hosseini, W. Liu, Q. Luo, F. Théberge, N. Aközbek, A. Becker, V. P. Kandidov, O. G. Kosareva, and H. Schroeder, “The propagation of powerful femtosecond laser pulses in optical media: physics, applications, and new challenges,” Can. J. Phys. 83, 863–905 (2005).
[CrossRef]

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

Laser Phys. (1)

S. L. Chin, T. J. Wang, C. Marceau, J. Wu, J. S. Liu, O. Kosareva, N. Panov, Y. P. Chen, J. F. Daigle, S. Yuan, A. Azarm, W. W. Liu, T. Seideman, H. P. Zeng, M. Richardson, R. Li, and Z. Z. Xu, “Advances in intense femtosecond laser filamentation in air,” Laser Phys. 22, 1–53 (2012).
[CrossRef]

Nat. Photonics (1)

P. Rohwetter, J. Kasparian, K. Stelmaszczyk, Z. Q. Hao, S. Henin, N. Lascoux, W. M. Nakaema, Y. Petit, M. QuerBer, R. Salamé, E. Salmon, L. Wöste, and J. P. Wolf, “Laser-induced water condensation in air,” Nat. Photonics 4, 451–456 (2010).
[CrossRef]

Opt. Express (6)

Opt. Lett. (5)

Phys. Rep. (1)

A. Couairon and A. Mysyrowicz, “Femtosecond filamentation in transparent media,” Phys. Rep. 441, 47–189 (2007).
[CrossRef]

Phys. Rev. A (4)

P. P. Kiran, S. Bagchi, S. R. Krishnan, C. L. Arnold, G. R. Kumar, and A. Couairon, “Focal dynamics of multiple filaments: microscopic imaging and reconstruction,” Phys. Rev. A 82, 013805 (2010).
[CrossRef]

J.-F. Daigle, A. Jaroń-Becker, S. Hosseini, T.-J. Wang, Y. Kamali, G. Roy, A. Becker, and S. L. Chin, “Intensity clamping measurement of laser filaments in air at 400 and 800  nm,” Phys. Rev. A 82, 023405 (2010).
[CrossRef]

B. Zeng, W. Chu, H. Gao, W. Liu, G. Li, H. Zhang, J. Yao, J. Ni, S. L. Chin, Y. Cheng, and Z. Z. Xu, “Enhancement of peak intensity in a filament core with spatiotemporally focused femtosecond laser pulses,” Phys. Rev. A 84, 063819 (2011).
[CrossRef]

B. Shim, S. E. Schrauth, C. J. Hensley, L. T. Vuong, P. Hui, A. A. Ishaaya, and A. L. Gaeta, “Controlled interactions of femtosecond light filaments in air,” Phys. Rev. A 81, 061803 (2010).
[CrossRef]

Phys. Rev. E (3)

F. Théberge, W. Liu, P. T. Simard, A. Becker, and S. L. Chin, “Plasma density inside a femtosecond laser filament in air: strong dependence on external focusing,” Phys. Rev. E 74, 036406 (2006).
[CrossRef]

T. T. Xi, X. Lu, and J. Zhang, “Spatiotemporal moving focus of long femtosecond-laser filaments in air,” Phys. Rev. E 78, 055401 (2008).
[CrossRef]

M. Rodriguez, R. Bourayou, G. Méjean, J. Kasparian, J. Yu, E. Salmon, A. Scholz, B. Stecklum, J. Eislöffel, U. Laux, A. P. Hatzes, R. Sauerbrey, L. Wöste, and J. P. Wolf, “Kilometer-range nonlinear propagation of femtosecond laser pulses,” Phys. Rev. E 69, 036607 (2004).
[CrossRef]

Phys. Rev. Lett. (3)

G. Méchain, A. Couairon, M. Franco, B. Prade, and A. Mysyrowicz, “Organizing multiple femtosecond filaments in air,” Phys. Rev. Lett. 93, 035003 (2004).
[CrossRef]

L. Bergé, S. Skupin, C. Köhler, I. Babushkin, and J. Herrmann, “3D Numerical simulations of THz generation by two-color laser filaments,” Phys. Rev. Lett. 110, 073901 (2013).
[CrossRef]

L. Bergé and S. Skupin, “Few-cycle light bullets created by femtosecond filaments,” Phys. Rev. Lett. 100, 113902 (2008).
[CrossRef]

Quantum Electron. (1)

I. S. Golubtsov, V. P. Kandidov, and O. G. Kosareva, “Initial phase modulation of a high-power femtosecond laser pulse as a tool for controlling its filamentation and generation of a supercontinuum in air,” Quantum Electron. 33, 525–530 (2003).
[CrossRef]

Rep. Prog. Phys. (1)

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]

Science (1)

J. Kasparian, M. Rodriguez, G. Méjean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y.-B. André, A. Mysyrowicz, R. Sauerbrey, J.-P. Wolf, and L. Wöste, “White-light filaments for atmospheric analysis,” Science 301, 61–64 (2003).
[CrossRef]

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Figures (4)

Fig. 1.
Fig. 1.

(a) Distribution of central wavelength as a function of the transverse coordinate x. Evolution of (b) the maximum intensity and (c) the electron density on the axis of laser propagation as a function of propagation distance z for the free pulse (solid line) and the spatially chirped pulses with different parameters of α=5×1015mm/Hz (dotted line) and α=1×1014mm/Hz (dashed line).

Fig. 2.
Fig. 2.

Spatiotemporal intensity distribution for (a) the free pulse and (b) the spatially chirped pulse with the parameter α=1×1014mm/Hz.

Fig. 3.
Fig. 3.

Energy fluence distribution at the propagation distance z=1.5m for (a) the free pulse and (b) the spatially chirped pulse with the parameter α=1×1014mm/Hz. The filaments are numbered with 0, 1, 2, and 3, respectively. (c) Temporal profiles of the four filaments.

Fig. 4.
Fig. 4.

(a) Spectral intensity of the four filaments which are numbered in Fig. 3 at the propagation distance z=2m. (b) Spectral intensity which is integrated in the transverse plane at z=2m for the free pulse (solid line) and the spatially chirped pulse with different parameters of α=5×1015mm/Hz (dotted line) and α=1×1014mm/Hz (dashed line).

Equations (2)

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

Ez=i12k0ΔEik22Et2+ik0n2|E|2Eik0ne2ncEβ(K)2|E|2K2E,
net=β(K)Kω0|E|2K(1nenat).

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