Abstract

We numerically investigate the effects of the external focusing and the pulse parameters on the propagation of the ring Gaussian filaments in air. The simulation results indicate that the onset distance of filament, the length and uniformity of the plasma strings, and the energy deposition strongly depend on these optical parameters. The length of optical filament can be extended greatly by adjusting the lens parameters near the maximum energy deposition. In addition, we find that, under the same initial intensity, the length and uniformity of the plasma strings can be tuned by increasing the beam width better than increasing the beam radius.

© 2016 Optical Society of America

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  5. A. Sharma, S. Misra, S. K. Mishra, and I. Kourakis, “Dynamics of dark hollow Gaussian laser pulses in relativistic plasma,” Phys. Rev. E 87, 063111 (2013).
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  13. M. K. Bhuyan, P. K. Velpula, J. P. Colombier, T. Olivier, N. Faure, and R. Stoian, “Single-shot high aspect ratio bulk nanostructuring of fused silica using chirp-controlled ultrafast laser Bessel beams,” Appl. Phys. Lett. 104, 021107 (2014).
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    [Crossref]
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    [Crossref]
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    [Crossref]
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    [Crossref]
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    [Crossref] [PubMed]
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    [Crossref] [PubMed]
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    [Crossref]
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    [Crossref]
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    [Crossref] [PubMed]
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    [Crossref]
  28. M. Scheller, M. S. Mills, M. A. Miri, W. Cheng, J. V. Moloney, M. Kolesik, P. Polynkin, and D. N. Christodoulides, “Externally refuelled optical filaments,” Nature Photon. 8, 297–301 (2014).
    [Crossref]
  29. D. Abdollahpour, P. Panagiotopoulos, M. Turconi, O. Jedrkiewicz, D. Faccio, P. Di Trapani, A. Couairon, D. G. Papazoglou, and S. Tzortzakis, “Long spatio-temporally stationary filaments in air using short pulse UV laser Bessel beams,” Opt. Express 17, 5052–5057 (2009).
    [Crossref] [PubMed]
  30. S. Skupin, L. Bergé, U. Peschel, and F. Lederer, “Interaction of femtosecond light filaments with obscurants in aerosols,” Phys. Rev. Lett. 93, 023901 (2004).
    [Crossref] [PubMed]
  31. T. T. Xi, X. Lu, and J. Zhang, “Interaction of light filaments generated by femtosecond laser pulses in air,” Phys. Rev. Lett. 96, 025003 (2006).
    [Crossref] [PubMed]
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    [Crossref]
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    [Crossref] [PubMed]
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    [Crossref]
  35. J. K. Wahlstrand, Y.-H. Cheng, Y.-H. Chen, and H. M. Milchberg, “Optical nonlinearity in Ar and N2 near the ionization threshold,” Phys. Rev. Lett. 107, 103901 (2011).
    [Crossref]
  36. Y.-H. Chen, S. Varma, T. M. Antonsen, and H. M. Milchberg, “Direct measurement of the electron density of extended femtosecond laser pulse-induced ilaments,” Phys. Rev. Lett. 105, 215005 (2010).
    [Crossref]
  37. C. Milián, A. Jarnac, Y. Brelet, V. Jukna, A. Houard, A. Mysyrowicz, and A. Couairon, “Effect of input pulse chirp on nonlinear energy deposition and plasma excitation in water,” J. Opt. Soc. Am. B 31, 2829–2837 (2014).
    [Crossref]
  38. J. H. Marburger, “Self-focusing: Theory,” Prog. Quantum Electron. 435–110 (1975).
    [Crossref]

2015 (1)

Z. F. Feng, W. Li, C. X. Yu, X. Liu, J. Liu, and L. B. Fu, “Extended laser filamentation in air generated by femtosecond annular Gaussian beams,” Phys. Rev. A 91, 033839 (2015).
[Crossref]

2014 (4)

S. Zahedpour, J. K. Wahlstrand, and H. M. Milchberg, “Quantum control of molecular gas hydrodynamics,” Phys. Rev. Lett. 112, 143601 (2014).
[Crossref] [PubMed]

M. Scheller, M. S. Mills, M. A. Miri, W. Cheng, J. V. Moloney, M. Kolesik, P. Polynkin, and D. N. Christodoulides, “Externally refuelled optical filaments,” Nature Photon. 8, 297–301 (2014).
[Crossref]

M. K. Bhuyan, P. K. Velpula, J. P. Colombier, T. Olivier, N. Faure, and R. Stoian, “Single-shot high aspect ratio bulk nanostructuring of fused silica using chirp-controlled ultrafast laser Bessel beams,” Appl. Phys. Lett. 104, 021107 (2014).
[Crossref]

C. Milián, A. Jarnac, Y. Brelet, V. Jukna, A. Houard, A. Mysyrowicz, and A. Couairon, “Effect of input pulse chirp on nonlinear energy deposition and plasma excitation in water,” J. Opt. Soc. Am. B 31, 2829–2837 (2014).
[Crossref]

2013 (2)

A. Sharma, S. Misra, S. K. Mishra, and I. Kourakis, “Dynamics of dark hollow Gaussian laser pulses in relativistic plasma,” Phys. Rev. E 87, 063111 (2013).
[Crossref]

P. Panagiotopoulos, D. G. Papazoglou, A. Couairon, and S. Tzortzakis, “Sharply autofocused ring-Airy beams transforming into non-linear intense light bullets,” Nature commun. 4, 2622 (2013).
[Crossref]

2012 (3)

D. Faccio, E. Rubino, A. Lotti, A. Couairon, A. Dubietis, G. Tamošauskas, D. G. Papazoglou, and S. Tzortzakis, “Nonlinear light-matter interaction with femtosecond high-angle Bessel beams,” Phys. Rev. A 85, 033829 (2012).
[Crossref]

J. P. Palastro, T. M. Antonsen, S. Varma, Y. H. Chen, and H. M. Milchberg, “Simulations of femtosecond atmospheric filaments enhanced by dual pulse molecular alignment,” Phys. Rev. A 85, 043843 (2012).
[Crossref]

S. Xu, J. Bernhardt, M. Sharifi, W. Liu, and S. L. Chin, “Intensity clamping during laser filamentation by TW level femtosecond laser in air and argon,” Laser Phys. 22, 195–202 (2012).
[Crossref]

2011 (1)

J. K. Wahlstrand, Y.-H. Cheng, Y.-H. Chen, and H. M. Milchberg, “Optical nonlinearity in Ar and N2 near the ionization threshold,” Phys. Rev. Lett. 107, 103901 (2011).
[Crossref]

2010 (5)

Y.-H. Chen, S. Varma, T. M. Antonsen, and H. M. Milchberg, “Direct measurement of the electron density of extended femtosecond laser pulse-induced ilaments,” Phys. Rev. Lett. 105, 215005 (2010).
[Crossref]

J.-F. Daigle, A. Jaron-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]

M. K. Bhuyan, F. Courvoisier, P. A. Lacourt, M. Jacquot, R. Salut, L. Furfaro, and J. M. Dudley, “High aspect ratio nanochannel machining using single shot femtosecond Bessel beams,” Appl. Phys. Lett. 97, 081102 (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]

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] [PubMed]

2009 (2)

2008 (1)

P. Polesana, M. Franco, A. Couairon, D. Faccio, and P. Di Trapani, “Filamentation in Kerr media from pulsed Bessel beams, ” Phys. Rev. A 77, 043814 (2008).
[Crossref]

2007 (2)

P. Polesana, A. Couairon, D. Faccio, A. Parola, M. A. Porras, A. Dubietis, A. Piskarskas, and P. Di Trapani, “Observation of conical waves in focusing, dispersive, and dissipative Kerr media,” Phys. Rev. Lett. 99, 223902 (2007).
[Crossref]

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

2006 (7)

P. Polesana, A. Dubietis, M. A. Porras, E. Kučnskas, D. Faccio, A. Couairon, and P. Di Trapani, “Near-field dynamics of ultrashort pulsed Bessel beams in media with Kerr nonlinearity,” Phys. Rev. E 73, 056612 (2006).
[Crossref]

A. Couairon, M. Franco, G. Méchain, T. Olivier, B. Prade, and A. Mysyrowicz, “Femtosecond filamentation in air at low pressures: Part I: Theory and numerical simulations,” Opt. Commun. 259, 265–273 (2006);
[Crossref]

G. Méchain, T. Olivier, M. Franco, A. Couairon, B. Prade, and A. Mysyrowicz, “Femtosecond filamentation in air at low pressures. Part II: Laboratory experiments,” Opt. Commun. 261, 322–326 (2006).
[Crossref]

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

T. T. Xi, X. Lu, and J. Zhang, “Interaction of light filaments generated by femtosecond laser pulses in air,” Phys. Rev. Lett. 96, 025003 (2006).
[Crossref] [PubMed]

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

2005 (3)

Z. Jin, J. Zhang, M. H. Xu, X. Lu, Y. T. Li, Z. H. Wang, Z. Y. Wei, X. H. Yuan, and W. Yu, “Control of filamentation induced by femtosecond laser pulses propagating in air,” Opt. Express 13, 10424–10430 (2005).
[Crossref] [PubMed]

D. McGloin and K. Dholakia, “Bessel beams: Diffraction in a new light,” Contemp. Phys. 46, 15 (2005).
[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 opticalmedia: physics, applications, and new challenges,” Can. J. Phys. 83, 863–905 (2005).
[Crossref]

2004 (2)

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

S. Skupin, L. Bergé, U. Peschel, and F. Lederer, “Interaction of femtosecond light filaments with obscurants in aerosols,” Phys. Rev. Lett. 93, 023901 (2004).
[Crossref] [PubMed]

2002 (1)

2000 (1)

A. L. Gaeta, “Catastrophic collapse of ultrashort pulses,” Phys. Rev. Lett. 84, 3582 (2000).
[Crossref] [PubMed]

1998 (1)

A. A. Zozulya, S. A. Diddams, and T. S. Clement, “Investigations of nonlinear femtosecond pulse propagation with the inclusion of Raman, shock, and third-order phase effects,” Phys. Rev. A 58, 3303–3310 (1998).
[Crossref]

1995 (1)

1975 (1)

J. H. Marburger, “Self-focusing: Theory,” Prog. Quantum Electron. 435–110 (1975).
[Crossref]

Abdollahpour, D.

Ackermann, R.

R. Ackermann, E. Salmon, N. Lascoux, J. Kasparian, P. Rohwetter, K. Stelmaszczyk, S. Li, A. Lindinger, L. Wöte, 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 opticalmedia: physics, applications, and new challenges,” Can. J. Phys. 83, 863–905 (2005).
[Crossref]

Akturk, S.

S. Akturk, B. Zhou, M. Franco, A. Couairon, and A. Mysyrowicz, “Generation of long plasma channels in air by focusing ultrashort laser pulses with an axicon,” Opt. Commun. 282, 129–134 (2009).
[Crossref]

Antonsen, T. M.

J. P. Palastro, T. M. Antonsen, S. Varma, Y. H. Chen, and H. M. Milchberg, “Simulations of femtosecond atmospheric filaments enhanced by dual pulse molecular alignment,” Phys. Rev. A 85, 043843 (2012).
[Crossref]

Y.-H. Chen, S. Varma, T. M. Antonsen, and H. M. Milchberg, “Direct measurement of the electron density of extended femtosecond laser pulse-induced ilaments,” Phys. Rev. Lett. 105, 215005 (2010).
[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]

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. Jaron-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 opticalmedia: 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. Wöte, P. Béjot, L. Bonacina, and J. P. Wolf, “Optimal control of filamentation in air,” Appl. Phys. Lett. 89, 171117 (2006).
[Crossref]

Berge, L.

Bergé, L.

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

S. Skupin, L. Bergé, U. Peschel, and F. Lederer, “Interaction of femtosecond light filaments with obscurants in aerosols,” Phys. Rev. Lett. 93, 023901 (2004).
[Crossref] [PubMed]

Bernhardt, J.

S. Xu, J. Bernhardt, M. Sharifi, W. Liu, and S. L. Chin, “Intensity clamping during laser filamentation by TW level femtosecond laser in air and argon,” Laser Phys. 22, 195–202 (2012).
[Crossref]

Bhuyan, M. K.

M. K. Bhuyan, P. K. Velpula, J. P. Colombier, T. Olivier, N. Faure, and R. Stoian, “Single-shot high aspect ratio bulk nanostructuring of fused silica using chirp-controlled ultrafast laser Bessel beams,” Appl. Phys. Lett. 104, 021107 (2014).
[Crossref]

M. K. Bhuyan, F. Courvoisier, P. A. Lacourt, M. Jacquot, R. Salut, L. Furfaro, and J. M. Dudley, “High aspect ratio nanochannel machining using single shot femtosecond Bessel beams,” Appl. Phys. Lett. 97, 081102 (2010).
[Crossref]

Bonacina, L.

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

Braun, A.

Brelet, Y.

Champeaux, S.

Chen, Y. H.

J. P. Palastro, T. M. Antonsen, S. Varma, Y. H. Chen, and H. M. Milchberg, “Simulations of femtosecond atmospheric filaments enhanced by dual pulse molecular alignment,” Phys. Rev. A 85, 043843 (2012).
[Crossref]

Chen, Y.-H.

J. K. Wahlstrand, Y.-H. Cheng, Y.-H. Chen, and H. M. Milchberg, “Optical nonlinearity in Ar and N2 near the ionization threshold,” Phys. Rev. Lett. 107, 103901 (2011).
[Crossref]

Y.-H. Chen, S. Varma, T. M. Antonsen, and H. M. Milchberg, “Direct measurement of the electron density of extended femtosecond laser pulse-induced ilaments,” Phys. Rev. Lett. 105, 215005 (2010).
[Crossref]

Cheng, W.

M. Scheller, M. S. Mills, M. A. Miri, W. Cheng, J. V. Moloney, M. Kolesik, P. Polynkin, and D. N. Christodoulides, “Externally refuelled optical filaments,” Nature Photon. 8, 297–301 (2014).
[Crossref]

Cheng, Y.-H.

J. K. Wahlstrand, Y.-H. Cheng, Y.-H. Chen, and H. M. Milchberg, “Optical nonlinearity in Ar and N2 near the ionization threshold,” Phys. Rev. Lett. 107, 103901 (2011).
[Crossref]

Chin, S. L.

S. Xu, J. Bernhardt, M. Sharifi, W. Liu, and S. L. Chin, “Intensity clamping during laser filamentation by TW level femtosecond laser in air and argon,” Laser Phys. 22, 195–202 (2012).
[Crossref]

J.-F. Daigle, A. Jaron-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 opticalmedia: physics, applications, and new challenges,” Can. J. Phys. 83, 863–905 (2005).
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Dubietis, A.

D. Faccio, E. Rubino, A. Lotti, A. Couairon, A. Dubietis, G. Tamošauskas, D. G. Papazoglou, and S. Tzortzakis, “Nonlinear light-matter interaction with femtosecond high-angle Bessel beams,” Phys. Rev. A 85, 033829 (2012).
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[Crossref]

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[Crossref]

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[Crossref]

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Z. F. Feng, W. Li, C. X. Yu, X. Liu, J. Liu, and L. B. Fu, “Extended laser filamentation in air generated by femtosecond annular Gaussian beams,” Phys. Rev. A 91, 033839 (2015).
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[Crossref]

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[Crossref]

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A. Couairon, S. Tzortzakis, L. Berge, M. Franco, B. Prade, and A. Mysyrowicz, “Infrared femtosecond light filaments in air: simulations and experiments,” J. Opt. Soc. Am. B 19, 1117–1131 (2002).
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A. Couairon, M. Franco, G. Méchain, T. Olivier, B. Prade, and A. Mysyrowicz, “Femtosecond filamentation in air at low pressures: Part I: Theory and numerical simulations,” Opt. Commun. 259, 265–273 (2006);
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[Crossref]

Palastro, J. P.

J. P. Palastro, T. M. Antonsen, S. Varma, Y. H. Chen, and H. M. Milchberg, “Simulations of femtosecond atmospheric filaments enhanced by dual pulse molecular alignment,” Phys. Rev. A 85, 043843 (2012).
[Crossref]

Panagiotopoulos, P.

Papazoglou, D. G.

P. Panagiotopoulos, D. G. Papazoglou, A. Couairon, and S. Tzortzakis, “Sharply autofocused ring-Airy beams transforming into non-linear intense light bullets,” Nature commun. 4, 2622 (2013).
[Crossref]

D. Faccio, E. Rubino, A. Lotti, A. Couairon, A. Dubietis, G. Tamošauskas, D. G. Papazoglou, and S. Tzortzakis, “Nonlinear light-matter interaction with femtosecond high-angle Bessel beams,” Phys. Rev. A 85, 033829 (2012).
[Crossref]

D. Abdollahpour, P. Panagiotopoulos, M. Turconi, O. Jedrkiewicz, D. Faccio, P. Di Trapani, A. Couairon, D. G. Papazoglou, and S. Tzortzakis, “Long spatio-temporally stationary filaments in air using short pulse UV laser Bessel beams,” Opt. Express 17, 5052–5057 (2009).
[Crossref] [PubMed]

Parola, A.

P. Polesana, A. Couairon, D. Faccio, A. Parola, M. A. Porras, A. Dubietis, A. Piskarskas, and P. Di Trapani, “Observation of conical waves in focusing, dispersive, and dissipative Kerr media,” Phys. Rev. Lett. 99, 223902 (2007).
[Crossref]

Peschel, U.

S. Skupin, L. Bergé, U. Peschel, and F. Lederer, “Interaction of femtosecond light filaments with obscurants in aerosols,” Phys. Rev. Lett. 93, 023901 (2004).
[Crossref] [PubMed]

Piskarskas, A.

P. Polesana, A. Couairon, D. Faccio, A. Parola, M. A. Porras, A. Dubietis, A. Piskarskas, and P. Di Trapani, “Observation of conical waves in focusing, dispersive, and dissipative Kerr media,” Phys. Rev. Lett. 99, 223902 (2007).
[Crossref]

Polesana, P.

P. Polesana, M. Franco, A. Couairon, D. Faccio, and P. Di Trapani, “Filamentation in Kerr media from pulsed Bessel beams, ” Phys. Rev. A 77, 043814 (2008).
[Crossref]

P. Polesana, A. Couairon, D. Faccio, A. Parola, M. A. Porras, A. Dubietis, A. Piskarskas, and P. Di Trapani, “Observation of conical waves in focusing, dispersive, and dissipative Kerr media,” Phys. Rev. Lett. 99, 223902 (2007).
[Crossref]

P. Polesana, A. Dubietis, M. A. Porras, E. Kučnskas, D. Faccio, A. Couairon, and P. Di Trapani, “Near-field dynamics of ultrashort pulsed Bessel beams in media with Kerr nonlinearity,” Phys. Rev. E 73, 056612 (2006).
[Crossref]

Polynkin, P.

M. Scheller, M. S. Mills, M. A. Miri, W. Cheng, J. V. Moloney, M. Kolesik, P. Polynkin, and D. N. Christodoulides, “Externally refuelled optical filaments,” Nature Photon. 8, 297–301 (2014).
[Crossref]

Porras, M. A.

P. Polesana, A. Couairon, D. Faccio, A. Parola, M. A. Porras, A. Dubietis, A. Piskarskas, and P. Di Trapani, “Observation of conical waves in focusing, dispersive, and dissipative Kerr media,” Phys. Rev. Lett. 99, 223902 (2007).
[Crossref]

P. Polesana, A. Dubietis, M. A. Porras, E. Kučnskas, D. Faccio, A. Couairon, and P. Di Trapani, “Near-field dynamics of ultrashort pulsed Bessel beams in media with Kerr nonlinearity,” Phys. Rev. E 73, 056612 (2006).
[Crossref]

Prade, B.

A. Couairon, M. Franco, G. Méchain, T. Olivier, B. Prade, and A. Mysyrowicz, “Femtosecond filamentation in air at low pressures: Part I: Theory and numerical simulations,” Opt. Commun. 259, 265–273 (2006);
[Crossref]

G. Méchain, T. Olivier, M. Franco, A. Couairon, B. Prade, and A. Mysyrowicz, “Femtosecond filamentation in air at low pressures. Part II: Laboratory experiments,” Opt. Commun. 261, 322–326 (2006).
[Crossref]

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

Rohwetter, P.

R. Ackermann, E. Salmon, N. Lascoux, J. Kasparian, P. Rohwetter, K. Stelmaszczyk, S. Li, A. Lindinger, L. Wöte, 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. Jaron-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]

Rubino, E.

D. Faccio, E. Rubino, A. Lotti, A. Couairon, A. Dubietis, G. Tamošauskas, D. G. Papazoglou, and S. Tzortzakis, “Nonlinear light-matter interaction with femtosecond high-angle Bessel beams,” Phys. Rev. A 85, 033829 (2012).
[Crossref]

Salmon, E.

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

Salut, R.

M. K. Bhuyan, F. Courvoisier, P. A. Lacourt, M. Jacquot, R. Salut, L. Furfaro, and J. M. Dudley, “High aspect ratio nanochannel machining using single shot femtosecond Bessel beams,” Appl. Phys. Lett. 97, 081102 (2010).
[Crossref]

Scheller, M.

M. Scheller, M. S. Mills, M. A. Miri, W. Cheng, J. V. Moloney, M. Kolesik, P. Polynkin, and D. N. Christodoulides, “Externally refuelled optical filaments,” Nature Photon. 8, 297–301 (2014).
[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 opticalmedia: physics, applications, and new challenges,” Can. J. Phys. 83, 863–905 (2005).
[Crossref]

Sharifi, M.

S. Xu, J. Bernhardt, M. Sharifi, W. Liu, and S. L. Chin, “Intensity clamping during laser filamentation by TW level femtosecond laser in air and argon,” Laser Phys. 22, 195–202 (2012).
[Crossref]

Sharma, A.

A. Sharma, S. Misra, S. K. Mishra, and I. Kourakis, “Dynamics of dark hollow Gaussian laser pulses in relativistic plasma,” Phys. Rev. E 87, 063111 (2013).
[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.

S. Skupin, L. Bergé, U. Peschel, and F. Lederer, “Interaction of femtosecond light filaments with obscurants in aerosols,” Phys. Rev. Lett. 93, 023901 (2004).
[Crossref] [PubMed]

Song, Z. M.

Squier, J.

Stelmaszczyk, K.

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

Stoian, R.

M. K. Bhuyan, P. K. Velpula, J. P. Colombier, T. Olivier, N. Faure, and R. Stoian, “Single-shot high aspect ratio bulk nanostructuring of fused silica using chirp-controlled ultrafast laser Bessel beams,” Appl. Phys. Lett. 104, 021107 (2014).
[Crossref]

Tamošauskas, G.

D. Faccio, E. Rubino, A. Lotti, A. Couairon, A. Dubietis, G. Tamošauskas, D. G. Papazoglou, and S. Tzortzakis, “Nonlinear light-matter interaction with femtosecond high-angle Bessel beams,” Phys. Rev. A 85, 033829 (2012).
[Crossref]

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 opticalmedia: physics, applications, and new challenges,” Can. J. Phys. 83, 863–905 (2005).
[Crossref]

Turconi, M.

Tzortzakis, S.

P. Panagiotopoulos, D. G. Papazoglou, A. Couairon, and S. Tzortzakis, “Sharply autofocused ring-Airy beams transforming into non-linear intense light bullets,” Nature commun. 4, 2622 (2013).
[Crossref]

D. Faccio, E. Rubino, A. Lotti, A. Couairon, A. Dubietis, G. Tamošauskas, D. G. Papazoglou, and S. Tzortzakis, “Nonlinear light-matter interaction with femtosecond high-angle Bessel beams,” Phys. Rev. A 85, 033829 (2012).
[Crossref]

D. Abdollahpour, P. Panagiotopoulos, M. Turconi, O. Jedrkiewicz, D. Faccio, P. Di Trapani, A. Couairon, D. G. Papazoglou, and S. Tzortzakis, “Long spatio-temporally stationary filaments in air using short pulse UV laser Bessel beams,” Opt. Express 17, 5052–5057 (2009).
[Crossref] [PubMed]

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

Varma, S.

J. P. Palastro, T. M. Antonsen, S. Varma, Y. H. Chen, and H. M. Milchberg, “Simulations of femtosecond atmospheric filaments enhanced by dual pulse molecular alignment,” Phys. Rev. A 85, 043843 (2012).
[Crossref]

Y.-H. Chen, S. Varma, T. M. Antonsen, and H. M. Milchberg, “Direct measurement of the electron density of extended femtosecond laser pulse-induced ilaments,” Phys. Rev. Lett. 105, 215005 (2010).
[Crossref]

Velpula, P. K.

M. K. Bhuyan, P. K. Velpula, J. P. Colombier, T. Olivier, N. Faure, and R. Stoian, “Single-shot high aspect ratio bulk nanostructuring of fused silica using chirp-controlled ultrafast laser Bessel beams,” Appl. Phys. Lett. 104, 021107 (2014).
[Crossref]

Wahlstrand, J. K.

S. Zahedpour, J. K. Wahlstrand, and H. M. Milchberg, “Quantum control of molecular gas hydrodynamics,” Phys. Rev. Lett. 112, 143601 (2014).
[Crossref] [PubMed]

J. K. Wahlstrand, Y.-H. Cheng, Y.-H. Chen, and H. M. Milchberg, “Optical nonlinearity in Ar and N2 near the ionization threshold,” Phys. Rev. Lett. 107, 103901 (2011).
[Crossref]

Wang, T.-J.

J.-F. Daigle, A. Jaron-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.

Wolf, J. P.

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

Wöte, L.

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

Xi, T. T.

T. T. Xi, X. Lu, and J. Zhang, “Interaction of light filaments generated by femtosecond laser pulses in air,” Phys. Rev. Lett. 96, 025003 (2006).
[Crossref] [PubMed]

Xu, M. H.

Xu, S.

S. Xu, J. Bernhardt, M. Sharifi, W. Liu, and S. L. Chin, “Intensity clamping during laser filamentation by TW level femtosecond laser in air and argon,” Laser Phys. 22, 195–202 (2012).
[Crossref]

Yu, C. X.

Z. F. Feng, W. Li, C. X. Yu, X. Liu, J. Liu, and L. B. Fu, “Extended laser filamentation in air generated by femtosecond annular Gaussian beams,” Phys. Rev. A 91, 033839 (2015).
[Crossref]

Yu, W.

Yuan, X. H.

Zahedpour, S.

S. Zahedpour, J. K. Wahlstrand, and H. M. Milchberg, “Quantum control of molecular gas hydrodynamics,” Phys. Rev. Lett. 112, 143601 (2014).
[Crossref] [PubMed]

Zhang, J.

Zhou, B.

S. Akturk, B. Zhou, M. Franco, A. Couairon, and A. Mysyrowicz, “Generation of long plasma channels in air by focusing ultrashort laser pulses with an axicon,” Opt. Commun. 282, 129–134 (2009).
[Crossref]

Zigler, Z.

Zozulya, A. A.

A. A. Zozulya, S. A. Diddams, and T. S. Clement, “Investigations of nonlinear femtosecond pulse propagation with the inclusion of Raman, shock, and third-order phase effects,” Phys. Rev. A 58, 3303–3310 (1998).
[Crossref]

Appl. Phys. Lett. (3)

M. K. Bhuyan, F. Courvoisier, P. A. Lacourt, M. Jacquot, R. Salut, L. Furfaro, and J. M. Dudley, “High aspect ratio nanochannel machining using single shot femtosecond Bessel beams,” Appl. Phys. Lett. 97, 081102 (2010).
[Crossref]

M. K. Bhuyan, P. K. Velpula, J. P. Colombier, T. Olivier, N. Faure, and R. Stoian, “Single-shot high aspect ratio bulk nanostructuring of fused silica using chirp-controlled ultrafast laser Bessel beams,” Appl. Phys. Lett. 104, 021107 (2014).
[Crossref]

R. Ackermann, E. Salmon, N. Lascoux, J. Kasparian, P. Rohwetter, K. Stelmaszczyk, S. Li, A. Lindinger, L. Wöte, 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 opticalmedia: physics, applications, and new challenges,” Can. J. Phys. 83, 863–905 (2005).
[Crossref]

Contemp. Phys. (1)

D. McGloin and K. Dholakia, “Bessel beams: Diffraction in a new light,” Contemp. Phys. 46, 15 (2005).
[Crossref]

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

Laser Phys. (1)

S. Xu, J. Bernhardt, M. Sharifi, W. Liu, and S. L. Chin, “Intensity clamping during laser filamentation by TW level femtosecond laser in air and argon,” Laser Phys. 22, 195–202 (2012).
[Crossref]

Nature commun. (1)

P. Panagiotopoulos, D. G. Papazoglou, A. Couairon, and S. Tzortzakis, “Sharply autofocused ring-Airy beams transforming into non-linear intense light bullets,” Nature commun. 4, 2622 (2013).
[Crossref]

Nature Photon. (1)

M. Scheller, M. S. Mills, M. A. Miri, W. Cheng, J. V. Moloney, M. Kolesik, P. Polynkin, and D. N. Christodoulides, “Externally refuelled optical filaments,” Nature Photon. 8, 297–301 (2014).
[Crossref]

Opt. Commun. (3)

A. Couairon, M. Franco, G. Méchain, T. Olivier, B. Prade, and A. Mysyrowicz, “Femtosecond filamentation in air at low pressures: Part I: Theory and numerical simulations,” Opt. Commun. 259, 265–273 (2006);
[Crossref]

G. Méchain, T. Olivier, M. Franco, A. Couairon, B. Prade, and A. Mysyrowicz, “Femtosecond filamentation in air at low pressures. Part II: Laboratory experiments,” Opt. Commun. 261, 322–326 (2006).
[Crossref]

S. Akturk, B. Zhou, M. Franco, A. Couairon, and A. Mysyrowicz, “Generation of long plasma channels in air by focusing ultrashort laser pulses with an axicon,” Opt. Commun. 282, 129–134 (2009).
[Crossref]

Opt. Express (3)

Opt. Lett. (3)

Phys. Rep. (1)

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

Phys. Rev. A (7)

P. Polesana, M. Franco, A. Couairon, D. Faccio, and P. Di Trapani, “Filamentation in Kerr media from pulsed Bessel beams, ” Phys. Rev. A 77, 043814 (2008).
[Crossref]

D. Faccio, E. Rubino, A. Lotti, A. Couairon, A. Dubietis, G. Tamošauskas, D. G. Papazoglou, and S. Tzortzakis, “Nonlinear light-matter interaction with femtosecond high-angle Bessel beams,” Phys. Rev. A 85, 033829 (2012).
[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]

Z. F. Feng, W. Li, C. X. Yu, X. Liu, J. Liu, and L. B. Fu, “Extended laser filamentation in air generated by femtosecond annular Gaussian beams,” Phys. Rev. A 91, 033839 (2015).
[Crossref]

A. A. Zozulya, S. A. Diddams, and T. S. Clement, “Investigations of nonlinear femtosecond pulse propagation with the inclusion of Raman, shock, and third-order phase effects,” Phys. Rev. A 58, 3303–3310 (1998).
[Crossref]

J.-F. Daigle, A. Jaron-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]

J. P. Palastro, T. M. Antonsen, S. Varma, Y. H. Chen, and H. M. Milchberg, “Simulations of femtosecond atmospheric filaments enhanced by dual pulse molecular alignment,” Phys. Rev. A 85, 043843 (2012).
[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]

P. Polesana, A. Dubietis, M. A. Porras, E. Kučnskas, D. Faccio, A. Couairon, and P. Di Trapani, “Near-field dynamics of ultrashort pulsed Bessel beams in media with Kerr nonlinearity,” Phys. Rev. E 73, 056612 (2006).
[Crossref]

A. Sharma, S. Misra, S. K. Mishra, and I. Kourakis, “Dynamics of dark hollow Gaussian laser pulses in relativistic plasma,” Phys. Rev. E 87, 063111 (2013).
[Crossref]

Phys. Rev. Lett. (7)

P. Polesana, A. Couairon, D. Faccio, A. Parola, M. A. Porras, A. Dubietis, A. Piskarskas, and P. Di Trapani, “Observation of conical waves in focusing, dispersive, and dissipative Kerr media,” Phys. Rev. Lett. 99, 223902 (2007).
[Crossref]

S. Zahedpour, J. K. Wahlstrand, and H. M. Milchberg, “Quantum control of molecular gas hydrodynamics,” Phys. Rev. Lett. 112, 143601 (2014).
[Crossref] [PubMed]

A. L. Gaeta, “Catastrophic collapse of ultrashort pulses,” Phys. Rev. Lett. 84, 3582 (2000).
[Crossref] [PubMed]

J. K. Wahlstrand, Y.-H. Cheng, Y.-H. Chen, and H. M. Milchberg, “Optical nonlinearity in Ar and N2 near the ionization threshold,” Phys. Rev. Lett. 107, 103901 (2011).
[Crossref]

Y.-H. Chen, S. Varma, T. M. Antonsen, and H. M. Milchberg, “Direct measurement of the electron density of extended femtosecond laser pulse-induced ilaments,” Phys. Rev. Lett. 105, 215005 (2010).
[Crossref]

S. Skupin, L. Bergé, U. Peschel, and F. Lederer, “Interaction of femtosecond light filaments with obscurants in aerosols,” Phys. Rev. Lett. 93, 023901 (2004).
[Crossref] [PubMed]

T. T. Xi, X. Lu, and J. Zhang, “Interaction of light filaments generated by femtosecond laser pulses in air,” Phys. Rev. Lett. 96, 025003 (2006).
[Crossref] [PubMed]

Prog. Quantum Electron. (1)

J. H. Marburger, “Self-focusing: Theory,” Prog. Quantum Electron. 435–110 (1975).
[Crossref]

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Figures (5)

Fig. 1
Fig. 1 The focusing scheme of an axicon only (red dashed lines) and an axicon preceded by a diverging lens (blue solid lines) for an annular Gaussian beam. Here, r denotes the radius of the ring-like beam.
Fig. 2
Fig. 2 The peak plasma density as a function of the propagation distance z for different spatial chirps C with the focal distances of concave f = −8 m(a) and f = −4 m(b), respectively; (c) The energy deposition with the spatial chirp C in the case of f = −8 m (black square) and f = −4 m (red dot).
Fig. 3
Fig. 3 During the propagation of the ring Gaussian filaments, the maximal plasma density as a function of the spatial chirp C for f = −8 m (black square) and f = −4 m (red circle)
Fig. 4
Fig. 4 The spatial plasma density(in units of cm−3) (top row) and the energy fluence (in units of mJ/cm2) (bottom row) distributions on a logarithmic scale with the propagation distance z for different spatial chirp C in f = −8 m.
Fig. 5
Fig. 5 The energy deposition as a function of (a) the beam radius r0 with ring beam width, w0 = 1 mm and (b) the beam width w0 with ring beam radius, r0 = 4 mm; The spatial plasma density in units of cm−3 distribution on a logarithmic scale with the propagation distance z (c) for several the beam radius r0 and (d) for several the beam width w0.

Equations (4)

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

f z ( r ) = k 0 r f C f + k 0 r .
A in ( r , t ) = A 0 exp [ ( r r 0 ) 2 w 0 2 t 2 τ 0 2 i C eff r ] ,
A z = i 2 k 0 2 A i β 2 2 2 A t 2 + i n 2 k 0 2 | A | 2 A i k 0 n e 2 n c A β ( K ) 2 | A | 2 K 2 A ,
n e t = σ K | A | 2 K n at ( 1 n e n at ) ,

Metrics