Abstract

We developed a model of femtosecond filamentation which includes high-order Kerr effect and an arbitrary polarization of a laser pulse. We show that a circularly polarized pulse has maximum filament intensity. Also, we show that, independently of the initial pulse polarization, the value of a maximum filament intensity tends to the maximum intensity of either linearly or circularly polarized pulse.

© 2013 Optical Society of America

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  1. A. Couairon and A. Mysyrowicz, Phys. Rep. 441, 47 (2007).
    [CrossRef]
  2. P. Béjot, J. Kasparian, S. Henin, V. Loriot, T. Vieillard, E. Hertz, O. Faucher, B. Lavorel, and J. P. Wolf, Phys. Rev. Lett. 104, 103903 (2010).
    [CrossRef]
  3. P. Béjot, E. Hertz, J. Kasparian, B. Lavorel, J. P. Wolf, and O. Faucher, Phys. Rev. Lett. 106, 243902 (2011).
    [CrossRef]
  4. C. Brée, A. Demircan, and G. Steinmeyer, Phys. Rev. Lett. 106, 183902 (2011).
    [CrossRef]
  5. O. Kosareva, J.-F. Daigle, N. Panov, T. Wang, S. Hosseini, S. Yuan, G. Roy, V. Makarov, and S. L. Chin, Opt. Lett. 36, 1035 (2011).
    [CrossRef]
  6. P. Polynkin, M. Kolesik, E. M. Wright, and J. V. Moloney, Phys. Rev. Lett. 106, 153902 (2011).
    [CrossRef]
  7. J. K. Wahlstrand, Y. H. Cheng, Y. H. Chen, and H. M. Milchberg, Phys. Rev. Lett. 107, 103901 (2011).
    [CrossRef]
  8. S. Petit, A. Talebpour, A. Proulx, and S. L. Chin, Opt. Commun. 175, 323 (2000).
    [CrossRef]
  9. P. Béjot, Y. Petit, L. Bonacina, J. Kasparian, M. Moret, and J.-P. Wolf, Opt. Express 16, 7564 (2008).
    [CrossRef]
  10. O. Kosareva, N. Panov, V. Makarov, I. Perezhogin, C. Marceau, Y. Chen, S. Yuan, T. Wang, H. Zeng, A. Savel’ev, and S. L. Chin, Opt. Lett. 35, 2904 (2010).
    [CrossRef]
  11. M. Kolesik, J. V. Moloney, and E. M. Wright, Phys. Rev. E 64, 046607 (2001).
    [CrossRef]
  12. N. A. Panov, O. G. Kosareva, A. B. Savel’ev-Trofimov, D. S. Uryupina, I. A. Perezhogin, and V. A. Makarov, Quantum Electron. 41, 160 (2011).
    [CrossRef]
  13. V. Loriot, E. Hertz, O. Faucher, and B. Lavorel, Opt. Express 18, 3011 (2010).
    [CrossRef]
  14. L. Bergé, C. Gouédard, J. Schjødt-Eriksen, and H. Ward, Phys. D 176, 181 (2003).
    [CrossRef]

2011

P. Béjot, E. Hertz, J. Kasparian, B. Lavorel, J. P. Wolf, and O. Faucher, Phys. Rev. Lett. 106, 243902 (2011).
[CrossRef]

C. Brée, A. Demircan, and G. Steinmeyer, Phys. Rev. Lett. 106, 183902 (2011).
[CrossRef]

O. Kosareva, J.-F. Daigle, N. Panov, T. Wang, S. Hosseini, S. Yuan, G. Roy, V. Makarov, and S. L. Chin, Opt. Lett. 36, 1035 (2011).
[CrossRef]

P. Polynkin, M. Kolesik, E. M. Wright, and J. V. Moloney, Phys. Rev. Lett. 106, 153902 (2011).
[CrossRef]

J. K. Wahlstrand, Y. H. Cheng, Y. H. Chen, and H. M. Milchberg, Phys. Rev. Lett. 107, 103901 (2011).
[CrossRef]

N. A. Panov, O. G. Kosareva, A. B. Savel’ev-Trofimov, D. S. Uryupina, I. A. Perezhogin, and V. A. Makarov, Quantum Electron. 41, 160 (2011).
[CrossRef]

2010

2008

2007

A. Couairon and A. Mysyrowicz, Phys. Rep. 441, 47 (2007).
[CrossRef]

2003

L. Bergé, C. Gouédard, J. Schjødt-Eriksen, and H. Ward, Phys. D 176, 181 (2003).
[CrossRef]

2001

M. Kolesik, J. V. Moloney, and E. M. Wright, Phys. Rev. E 64, 046607 (2001).
[CrossRef]

2000

S. Petit, A. Talebpour, A. Proulx, and S. L. Chin, Opt. Commun. 175, 323 (2000).
[CrossRef]

Béjot, P.

P. Béjot, E. Hertz, J. Kasparian, B. Lavorel, J. P. Wolf, and O. Faucher, Phys. Rev. Lett. 106, 243902 (2011).
[CrossRef]

P. Béjot, J. Kasparian, S. Henin, V. Loriot, T. Vieillard, E. Hertz, O. Faucher, B. Lavorel, and J. P. Wolf, Phys. Rev. Lett. 104, 103903 (2010).
[CrossRef]

P. Béjot, Y. Petit, L. Bonacina, J. Kasparian, M. Moret, and J.-P. Wolf, Opt. Express 16, 7564 (2008).
[CrossRef]

Bergé, L.

L. Bergé, C. Gouédard, J. Schjødt-Eriksen, and H. Ward, Phys. D 176, 181 (2003).
[CrossRef]

Bonacina, L.

Brée, C.

C. Brée, A. Demircan, and G. Steinmeyer, Phys. Rev. Lett. 106, 183902 (2011).
[CrossRef]

Chen, Y.

Chen, Y. H.

J. K. Wahlstrand, Y. H. Cheng, Y. H. Chen, and H. M. Milchberg, Phys. Rev. Lett. 107, 103901 (2011).
[CrossRef]

Cheng, Y. H.

J. K. Wahlstrand, Y. H. Cheng, Y. H. Chen, and H. M. Milchberg, Phys. Rev. Lett. 107, 103901 (2011).
[CrossRef]

Chin, S. L.

Couairon, A.

A. Couairon and A. Mysyrowicz, Phys. Rep. 441, 47 (2007).
[CrossRef]

Daigle, J.-F.

Demircan, A.

C. Brée, A. Demircan, and G. Steinmeyer, Phys. Rev. Lett. 106, 183902 (2011).
[CrossRef]

Faucher, O.

P. Béjot, E. Hertz, J. Kasparian, B. Lavorel, J. P. Wolf, and O. Faucher, Phys. Rev. Lett. 106, 243902 (2011).
[CrossRef]

P. Béjot, J. Kasparian, S. Henin, V. Loriot, T. Vieillard, E. Hertz, O. Faucher, B. Lavorel, and J. P. Wolf, Phys. Rev. Lett. 104, 103903 (2010).
[CrossRef]

V. Loriot, E. Hertz, O. Faucher, and B. Lavorel, Opt. Express 18, 3011 (2010).
[CrossRef]

Gouédard, C.

L. Bergé, C. Gouédard, J. Schjødt-Eriksen, and H. Ward, Phys. D 176, 181 (2003).
[CrossRef]

Henin, S.

P. Béjot, J. Kasparian, S. Henin, V. Loriot, T. Vieillard, E. Hertz, O. Faucher, B. Lavorel, and J. P. Wolf, Phys. Rev. Lett. 104, 103903 (2010).
[CrossRef]

Hertz, E.

P. Béjot, E. Hertz, J. Kasparian, B. Lavorel, J. P. Wolf, and O. Faucher, Phys. Rev. Lett. 106, 243902 (2011).
[CrossRef]

P. Béjot, J. Kasparian, S. Henin, V. Loriot, T. Vieillard, E. Hertz, O. Faucher, B. Lavorel, and J. P. Wolf, Phys. Rev. Lett. 104, 103903 (2010).
[CrossRef]

V. Loriot, E. Hertz, O. Faucher, and B. Lavorel, Opt. Express 18, 3011 (2010).
[CrossRef]

Hosseini, S.

Kasparian, J.

P. Béjot, E. Hertz, J. Kasparian, B. Lavorel, J. P. Wolf, and O. Faucher, Phys. Rev. Lett. 106, 243902 (2011).
[CrossRef]

P. Béjot, J. Kasparian, S. Henin, V. Loriot, T. Vieillard, E. Hertz, O. Faucher, B. Lavorel, and J. P. Wolf, Phys. Rev. Lett. 104, 103903 (2010).
[CrossRef]

P. Béjot, Y. Petit, L. Bonacina, J. Kasparian, M. Moret, and J.-P. Wolf, Opt. Express 16, 7564 (2008).
[CrossRef]

Kolesik, M.

P. Polynkin, M. Kolesik, E. M. Wright, and J. V. Moloney, Phys. Rev. Lett. 106, 153902 (2011).
[CrossRef]

M. Kolesik, J. V. Moloney, and E. M. Wright, Phys. Rev. E 64, 046607 (2001).
[CrossRef]

Kosareva, O.

Kosareva, O. G.

N. A. Panov, O. G. Kosareva, A. B. Savel’ev-Trofimov, D. S. Uryupina, I. A. Perezhogin, and V. A. Makarov, Quantum Electron. 41, 160 (2011).
[CrossRef]

Lavorel, B.

P. Béjot, E. Hertz, J. Kasparian, B. Lavorel, J. P. Wolf, and O. Faucher, Phys. Rev. Lett. 106, 243902 (2011).
[CrossRef]

P. Béjot, J. Kasparian, S. Henin, V. Loriot, T. Vieillard, E. Hertz, O. Faucher, B. Lavorel, and J. P. Wolf, Phys. Rev. Lett. 104, 103903 (2010).
[CrossRef]

V. Loriot, E. Hertz, O. Faucher, and B. Lavorel, Opt. Express 18, 3011 (2010).
[CrossRef]

Loriot, V.

V. Loriot, E. Hertz, O. Faucher, and B. Lavorel, Opt. Express 18, 3011 (2010).
[CrossRef]

P. Béjot, J. Kasparian, S. Henin, V. Loriot, T. Vieillard, E. Hertz, O. Faucher, B. Lavorel, and J. P. Wolf, Phys. Rev. Lett. 104, 103903 (2010).
[CrossRef]

Makarov, V.

Makarov, V. A.

N. A. Panov, O. G. Kosareva, A. B. Savel’ev-Trofimov, D. S. Uryupina, I. A. Perezhogin, and V. A. Makarov, Quantum Electron. 41, 160 (2011).
[CrossRef]

Marceau, C.

Milchberg, H. M.

J. K. Wahlstrand, Y. H. Cheng, Y. H. Chen, and H. M. Milchberg, Phys. Rev. Lett. 107, 103901 (2011).
[CrossRef]

Moloney, J. V.

P. Polynkin, M. Kolesik, E. M. Wright, and J. V. Moloney, Phys. Rev. Lett. 106, 153902 (2011).
[CrossRef]

M. Kolesik, J. V. Moloney, and E. M. Wright, Phys. Rev. E 64, 046607 (2001).
[CrossRef]

Moret, M.

Mysyrowicz, A.

A. Couairon and A. Mysyrowicz, Phys. Rep. 441, 47 (2007).
[CrossRef]

Panov, N.

Panov, N. A.

N. A. Panov, O. G. Kosareva, A. B. Savel’ev-Trofimov, D. S. Uryupina, I. A. Perezhogin, and V. A. Makarov, Quantum Electron. 41, 160 (2011).
[CrossRef]

Perezhogin, I.

Perezhogin, I. A.

N. A. Panov, O. G. Kosareva, A. B. Savel’ev-Trofimov, D. S. Uryupina, I. A. Perezhogin, and V. A. Makarov, Quantum Electron. 41, 160 (2011).
[CrossRef]

Petit, S.

S. Petit, A. Talebpour, A. Proulx, and S. L. Chin, Opt. Commun. 175, 323 (2000).
[CrossRef]

Petit, Y.

Polynkin, P.

P. Polynkin, M. Kolesik, E. M. Wright, and J. V. Moloney, Phys. Rev. Lett. 106, 153902 (2011).
[CrossRef]

Proulx, A.

S. Petit, A. Talebpour, A. Proulx, and S. L. Chin, Opt. Commun. 175, 323 (2000).
[CrossRef]

Roy, G.

Savel’ev, A.

Savel’ev-Trofimov, A. B.

N. A. Panov, O. G. Kosareva, A. B. Savel’ev-Trofimov, D. S. Uryupina, I. A. Perezhogin, and V. A. Makarov, Quantum Electron. 41, 160 (2011).
[CrossRef]

Schjødt-Eriksen, J.

L. Bergé, C. Gouédard, J. Schjødt-Eriksen, and H. Ward, Phys. D 176, 181 (2003).
[CrossRef]

Steinmeyer, G.

C. Brée, A. Demircan, and G. Steinmeyer, Phys. Rev. Lett. 106, 183902 (2011).
[CrossRef]

Talebpour, A.

S. Petit, A. Talebpour, A. Proulx, and S. L. Chin, Opt. Commun. 175, 323 (2000).
[CrossRef]

Uryupina, D. S.

N. A. Panov, O. G. Kosareva, A. B. Savel’ev-Trofimov, D. S. Uryupina, I. A. Perezhogin, and V. A. Makarov, Quantum Electron. 41, 160 (2011).
[CrossRef]

Vieillard, T.

P. Béjot, J. Kasparian, S. Henin, V. Loriot, T. Vieillard, E. Hertz, O. Faucher, B. Lavorel, and J. P. Wolf, Phys. Rev. Lett. 104, 103903 (2010).
[CrossRef]

Wahlstrand, J. K.

J. K. Wahlstrand, Y. H. Cheng, Y. H. Chen, and H. M. Milchberg, Phys. Rev. Lett. 107, 103901 (2011).
[CrossRef]

Wang, T.

Ward, H.

L. Bergé, C. Gouédard, J. Schjødt-Eriksen, and H. Ward, Phys. D 176, 181 (2003).
[CrossRef]

Wolf, J. P.

P. Béjot, E. Hertz, J. Kasparian, B. Lavorel, J. P. Wolf, and O. Faucher, Phys. Rev. Lett. 106, 243902 (2011).
[CrossRef]

P. Béjot, J. Kasparian, S. Henin, V. Loriot, T. Vieillard, E. Hertz, O. Faucher, B. Lavorel, and J. P. Wolf, Phys. Rev. Lett. 104, 103903 (2010).
[CrossRef]

Wolf, J.-P.

Wright, E. M.

P. Polynkin, M. Kolesik, E. M. Wright, and J. V. Moloney, Phys. Rev. Lett. 106, 153902 (2011).
[CrossRef]

M. Kolesik, J. V. Moloney, and E. M. Wright, Phys. Rev. E 64, 046607 (2001).
[CrossRef]

Yuan, S.

Zeng, H.

Opt. Commun.

S. Petit, A. Talebpour, A. Proulx, and S. L. Chin, Opt. Commun. 175, 323 (2000).
[CrossRef]

Opt. Express

Opt. Lett.

Phys. D

L. Bergé, C. Gouédard, J. Schjødt-Eriksen, and H. Ward, Phys. D 176, 181 (2003).
[CrossRef]

Phys. Rep.

A. Couairon and A. Mysyrowicz, Phys. Rep. 441, 47 (2007).
[CrossRef]

Phys. Rev. E

M. Kolesik, J. V. Moloney, and E. M. Wright, Phys. Rev. E 64, 046607 (2001).
[CrossRef]

Phys. Rev. Lett.

P. Béjot, J. Kasparian, S. Henin, V. Loriot, T. Vieillard, E. Hertz, O. Faucher, B. Lavorel, and J. P. Wolf, Phys. Rev. Lett. 104, 103903 (2010).
[CrossRef]

P. Béjot, E. Hertz, J. Kasparian, B. Lavorel, J. P. Wolf, and O. Faucher, Phys. Rev. Lett. 106, 243902 (2011).
[CrossRef]

C. Brée, A. Demircan, and G. Steinmeyer, Phys. Rev. Lett. 106, 183902 (2011).
[CrossRef]

P. Polynkin, M. Kolesik, E. M. Wright, and J. V. Moloney, Phys. Rev. Lett. 106, 153902 (2011).
[CrossRef]

J. K. Wahlstrand, Y. H. Cheng, Y. H. Chen, and H. M. Milchberg, Phys. Rev. Lett. 107, 103901 (2011).
[CrossRef]

Quantum Electron.

N. A. Panov, O. G. Kosareva, A. B. Savel’ev-Trofimov, D. S. Uryupina, I. A. Perezhogin, and V. A. Makarov, Quantum Electron. 41, 160 (2011).
[CrossRef]

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Figures (4)

Fig. 1.
Fig. 1.

Nonlinear refractive index increments Δnl and Δnc for the linear and circular polarization, respectively, versus the pulse intensity I.

Fig. 2.
Fig. 2.

Pulse peak intensity Ip versus a propagation distance z for different initial semi-axis ratio ε0 of a polarization ellipse.

Fig. 3.
Fig. 3.

(a) Intensities Ip+ and Ip of the left and right polarized components, as well as the pulse peak intensity Ip=Ip++Ip versus distance z. (b) Corresponding nonlinear refractive index increments Δn+(z) and Δn(z) along with the semi-axis ratio ε(z) of a polarization ellipse. (c), (d) Spatiotemporal intensity distributions I+ and I of the left and right polarized components at z=57cm. ε0=0.53.

Fig. 4.
Fig. 4.

Maximum filament intensity Im versus the initial semi-axis ratio ε0 of a polarization ellipse.

Equations (2)

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

P±=14π{16n2(|A±|2+2|A|2)+120n4(|A±|4+6|A±|2|A|2+3|A|4)+170n6(|A±|6+12|A±|4|A|2+18|A±|2|A|4+4|A|4)+1252n8(|A±|8+20|A±|6|A|2+60|A±|4|A|4+40|A±|2|A|6+5|A|8)+1924n10(|A±|10+30|A±|8|A|2+150|A±|6|A|4+200|A±|4|A|6+75|A±|2|A|8+6|A|10)}A±,
2ikzA±=T^1ΔA±kD^A±+4πk2T^P±/n0,

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