Abstract

The recent measurement of negative higher-order Kerr effect (HOKE) terms in gases has given rise to a controversial debate, fed by its impact on short laser pulse propagation. By comparing the experimentally measured yield of the third and fifth harmonics, with both an analytical and a full comprehensive numerical propagation model, we confirm the absolute and relative values of the reported HOKE indices.

© 2011 Optical Society of America

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  1. V. Loriot, E. Hertz, O. Faucher, and B. Lavorel, Opt. Express 17, 13429 (2009).
    [CrossRef] [PubMed]
  2. V. Loriot, E. Hertz, O. Faucher, and B. Lavorel, Opt. Express 18, 3011 (2010).
    [CrossRef]
  3. S. L. Chin, S. A. Hosseini, W. Liu, Q. Luo, F. Théberge, N. Aközbek, A. Becker, V. P. Kandidov, O. G. Kosareva, and H. Schröder, Can. J. Phys. 83, 863 (2005).
    [CrossRef]
  4. L. Bergé, S. Skupin, R. Nuter, J. Kasparian, and J.-P. Wolf, Rep. Prog. Phys. 70, 1633 (2007).
    [CrossRef]
  5. A. Couairon and A. Mysyrowicz, Phys. Rep. 441, 47 (2007).
    [CrossRef]
  6. J. Kasparian and J.-P. Wolf, Opt. Express 16, 466 (2008).
    [CrossRef] [PubMed]
  7. 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] [PubMed]
  8. W. Ettoumi, P. Béjot, Y. Petit, V. Loriot, E. Hertz, O. Faucher, B. Lavorel, J. Kasparian, and J.-P. Wolf, Phys. Rev. A 82, 033826 (2010).
    [CrossRef]
  9. V. Loriot, P. Béjot, W. Ettoumi, Y. Petit, J. Kasparian, S. Henin, E. Hertz, B. Lavorel, O. Faucher, and J.-P. Wolf, “On negative higher-order Kerr effect and filamentation,” Laser Phys. (to be published).
  10. M. Kolesik, E. M. Wright, and J. V. Moloney, Opt. Lett. 35, 2550 (2010).
    [CrossRef] [PubMed]
  11. P. Polynkin, M. Kolesik, E. M. Wright, and J. V. Moloney, “Experimental tests of the new paradigm for laser filamentation in gases,” arxiv.org, http://arxiv.org/abs/1010.2303.
  12. M. Kolesik, D. Mirell, J.-C. Diels, and J. V. Moloney, Opt. Lett. 35, 3685 (2010).
    [CrossRef] [PubMed]
  13. K. Kosma, S. A. Trushin, W. E. Schmid, and W. Fuss, Opt. Lett. 33, 723 (2008).
    [CrossRef] [PubMed]
  14. R. W. Boyd, Nonlinear Optics, 3rd ed. (Academic, 2008).
  15. J. Reintjes and C. Y. She, Opt. Commun. 27, 469 (1978).
    [CrossRef]
  16. G. C. Bjorklund, IEEE J. Quantum Electron. 11, 287 (1975).
    [CrossRef]
  17. K. Kosma, S. A. Trushin, W. Fuss, and W. E. Schmid, Phys. Chem. Chem. Phys. 11, 172 (2009).
    [CrossRef]
  18. A. Bideau, Y. Guern, R. Abjean, and A. Johannin-Gilles, J. Quant. Spectrosc. Radiat. Transfer 25, 395 (1981).
    [CrossRef]
  19. W. Fuss, Max-Planck-Institut für Quantenoptik, D-85741 Garching, Germany (personal communication, 2010).
  20. M. Kolesik and J. V. Moloney, Phys. Rev. E 70, 036604(2004).
    [CrossRef]

2010 (5)

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] [PubMed]

W. Ettoumi, P. Béjot, Y. Petit, V. Loriot, E. Hertz, O. Faucher, B. Lavorel, J. Kasparian, and J.-P. Wolf, Phys. Rev. A 82, 033826 (2010).
[CrossRef]

M. Kolesik, E. M. Wright, and J. V. Moloney, Opt. Lett. 35, 2550 (2010).
[CrossRef] [PubMed]

M. Kolesik, D. Mirell, J.-C. Diels, and J. V. Moloney, Opt. Lett. 35, 3685 (2010).
[CrossRef] [PubMed]

2009 (2)

V. Loriot, E. Hertz, O. Faucher, and B. Lavorel, Opt. Express 17, 13429 (2009).
[CrossRef] [PubMed]

K. Kosma, S. A. Trushin, W. Fuss, and W. E. Schmid, Phys. Chem. Chem. Phys. 11, 172 (2009).
[CrossRef]

2008 (2)

2007 (2)

L. Bergé, S. Skupin, R. Nuter, J. Kasparian, and J.-P. Wolf, Rep. Prog. Phys. 70, 1633 (2007).
[CrossRef]

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

2005 (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. Schröder, Can. J. Phys. 83, 863 (2005).
[CrossRef]

2004 (1)

M. Kolesik and J. V. Moloney, Phys. Rev. E 70, 036604(2004).
[CrossRef]

1981 (1)

A. Bideau, Y. Guern, R. Abjean, and A. Johannin-Gilles, J. Quant. Spectrosc. Radiat. Transfer 25, 395 (1981).
[CrossRef]

1978 (1)

J. Reintjes and C. Y. She, Opt. Commun. 27, 469 (1978).
[CrossRef]

1975 (1)

G. C. Bjorklund, IEEE J. Quantum Electron. 11, 287 (1975).
[CrossRef]

Abjean, R.

A. Bideau, Y. Guern, R. Abjean, and A. Johannin-Gilles, J. Quant. Spectrosc. Radiat. Transfer 25, 395 (1981).
[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. Schröder, Can. J. Phys. 83, 863 (2005).
[CrossRef]

Becker, 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. Schröder, Can. J. Phys. 83, 863 (2005).
[CrossRef]

Béjot, P.

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] [PubMed]

W. Ettoumi, P. Béjot, Y. Petit, V. Loriot, E. Hertz, O. Faucher, B. Lavorel, J. Kasparian, and J.-P. Wolf, Phys. Rev. A 82, 033826 (2010).
[CrossRef]

V. Loriot, P. Béjot, W. Ettoumi, Y. Petit, J. Kasparian, S. Henin, E. Hertz, B. Lavorel, O. Faucher, and J.-P. Wolf, “On negative higher-order Kerr effect and filamentation,” Laser Phys. (to be published).

Bergé, L.

L. Bergé, S. Skupin, R. Nuter, J. Kasparian, and J.-P. Wolf, Rep. Prog. Phys. 70, 1633 (2007).
[CrossRef]

Bideau, A.

A. Bideau, Y. Guern, R. Abjean, and A. Johannin-Gilles, J. Quant. Spectrosc. Radiat. Transfer 25, 395 (1981).
[CrossRef]

Bjorklund, G. C.

G. C. Bjorklund, IEEE J. Quantum Electron. 11, 287 (1975).
[CrossRef]

Boyd, R. W.

R. W. Boyd, Nonlinear Optics, 3rd ed. (Academic, 2008).

Chin, S. L.

S. L. Chin, S. A. Hosseini, W. Liu, Q. Luo, F. Théberge, N. Aközbek, A. Becker, V. P. Kandidov, O. G. Kosareva, and H. Schröder, Can. J. Phys. 83, 863 (2005).
[CrossRef]

Couairon, A.

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

Diels, J.-C.

Ettoumi, W.

W. Ettoumi, P. Béjot, Y. Petit, V. Loriot, E. Hertz, O. Faucher, B. Lavorel, J. Kasparian, and J.-P. Wolf, Phys. Rev. A 82, 033826 (2010).
[CrossRef]

V. Loriot, P. Béjot, W. Ettoumi, Y. Petit, J. Kasparian, S. Henin, E. Hertz, B. Lavorel, O. Faucher, and J.-P. Wolf, “On negative higher-order Kerr effect and filamentation,” Laser Phys. (to be published).

Faucher, O.

W. Ettoumi, P. Béjot, Y. Petit, V. Loriot, E. Hertz, O. Faucher, B. Lavorel, J. Kasparian, and J.-P. Wolf, Phys. Rev. A 82, 033826 (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] [PubMed]

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

V. Loriot, E. Hertz, O. Faucher, and B. Lavorel, Opt. Express 17, 13429 (2009).
[CrossRef] [PubMed]

V. Loriot, P. Béjot, W. Ettoumi, Y. Petit, J. Kasparian, S. Henin, E. Hertz, B. Lavorel, O. Faucher, and J.-P. Wolf, “On negative higher-order Kerr effect and filamentation,” Laser Phys. (to be published).

Fuss, W.

K. Kosma, S. A. Trushin, W. Fuss, and W. E. Schmid, Phys. Chem. Chem. Phys. 11, 172 (2009).
[CrossRef]

K. Kosma, S. A. Trushin, W. E. Schmid, and W. Fuss, Opt. Lett. 33, 723 (2008).
[CrossRef] [PubMed]

W. Fuss, Max-Planck-Institut für Quantenoptik, D-85741 Garching, Germany (personal communication, 2010).

Guern, Y.

A. Bideau, Y. Guern, R. Abjean, and A. Johannin-Gilles, J. Quant. Spectrosc. Radiat. Transfer 25, 395 (1981).
[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] [PubMed]

V. Loriot, P. Béjot, W. Ettoumi, Y. Petit, J. Kasparian, S. Henin, E. Hertz, B. Lavorel, O. Faucher, and J.-P. Wolf, “On negative higher-order Kerr effect and filamentation,” Laser Phys. (to be published).

Hertz, E.

W. Ettoumi, P. Béjot, Y. Petit, V. Loriot, E. Hertz, O. Faucher, B. Lavorel, J. Kasparian, and J.-P. Wolf, Phys. Rev. A 82, 033826 (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] [PubMed]

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

V. Loriot, E. Hertz, O. Faucher, and B. Lavorel, Opt. Express 17, 13429 (2009).
[CrossRef] [PubMed]

V. Loriot, P. Béjot, W. Ettoumi, Y. Petit, J. Kasparian, S. Henin, E. Hertz, B. Lavorel, O. Faucher, and J.-P. Wolf, “On negative higher-order Kerr effect and filamentation,” Laser Phys. (to be published).

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. Schröder, Can. J. Phys. 83, 863 (2005).
[CrossRef]

Johannin-Gilles, A.

A. Bideau, Y. Guern, R. Abjean, and A. Johannin-Gilles, J. Quant. Spectrosc. Radiat. Transfer 25, 395 (1981).
[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. Schröder, Can. J. Phys. 83, 863 (2005).
[CrossRef]

Kasparian, J.

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] [PubMed]

W. Ettoumi, P. Béjot, Y. Petit, V. Loriot, E. Hertz, O. Faucher, B. Lavorel, J. Kasparian, and J.-P. Wolf, Phys. Rev. A 82, 033826 (2010).
[CrossRef]

J. Kasparian and J.-P. Wolf, Opt. Express 16, 466 (2008).
[CrossRef] [PubMed]

L. Bergé, S. Skupin, R. Nuter, J. Kasparian, and J.-P. Wolf, Rep. Prog. Phys. 70, 1633 (2007).
[CrossRef]

V. Loriot, P. Béjot, W. Ettoumi, Y. Petit, J. Kasparian, S. Henin, E. Hertz, B. Lavorel, O. Faucher, and J.-P. Wolf, “On negative higher-order Kerr effect and filamentation,” Laser Phys. (to be published).

Kolesik, M.

M. Kolesik, E. M. Wright, and J. V. Moloney, Opt. Lett. 35, 2550 (2010).
[CrossRef] [PubMed]

M. Kolesik, D. Mirell, J.-C. Diels, and J. V. Moloney, Opt. Lett. 35, 3685 (2010).
[CrossRef] [PubMed]

M. Kolesik and J. V. Moloney, Phys. Rev. E 70, 036604(2004).
[CrossRef]

P. Polynkin, M. Kolesik, E. M. Wright, and J. V. Moloney, “Experimental tests of the new paradigm for laser filamentation in gases,” arxiv.org, http://arxiv.org/abs/1010.2303.

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. Schröder, Can. J. Phys. 83, 863 (2005).
[CrossRef]

Kosma, K.

K. Kosma, S. A. Trushin, W. Fuss, and W. E. Schmid, Phys. Chem. Chem. Phys. 11, 172 (2009).
[CrossRef]

K. Kosma, S. A. Trushin, W. E. Schmid, and W. Fuss, Opt. Lett. 33, 723 (2008).
[CrossRef] [PubMed]

Lavorel, B.

W. Ettoumi, P. Béjot, Y. Petit, V. Loriot, E. Hertz, O. Faucher, B. Lavorel, J. Kasparian, and J.-P. Wolf, Phys. Rev. A 82, 033826 (2010).
[CrossRef]

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] [PubMed]

V. Loriot, E. Hertz, O. Faucher, and B. Lavorel, Opt. Express 17, 13429 (2009).
[CrossRef] [PubMed]

V. Loriot, P. Béjot, W. Ettoumi, Y. Petit, J. Kasparian, S. Henin, E. Hertz, B. Lavorel, O. Faucher, and J.-P. Wolf, “On negative higher-order Kerr effect and filamentation,” Laser Phys. (to be published).

Liu, W.

S. L. Chin, S. A. Hosseini, W. Liu, Q. Luo, F. Théberge, N. Aközbek, A. Becker, V. P. Kandidov, O. G. Kosareva, and H. Schröder, Can. J. Phys. 83, 863 (2005).
[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] [PubMed]

W. Ettoumi, P. Béjot, Y. Petit, V. Loriot, E. Hertz, O. Faucher, B. Lavorel, J. Kasparian, and J.-P. Wolf, Phys. Rev. A 82, 033826 (2010).
[CrossRef]

V. Loriot, E. Hertz, O. Faucher, and B. Lavorel, Opt. Express 17, 13429 (2009).
[CrossRef] [PubMed]

V. Loriot, P. Béjot, W. Ettoumi, Y. Petit, J. Kasparian, S. Henin, E. Hertz, B. Lavorel, O. Faucher, and J.-P. Wolf, “On negative higher-order Kerr effect and filamentation,” Laser Phys. (to be published).

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. Schröder, Can. J. Phys. 83, 863 (2005).
[CrossRef]

Mirell, D.

Moloney, J. V.

M. Kolesik, E. M. Wright, and J. V. Moloney, Opt. Lett. 35, 2550 (2010).
[CrossRef] [PubMed]

M. Kolesik, D. Mirell, J.-C. Diels, and J. V. Moloney, Opt. Lett. 35, 3685 (2010).
[CrossRef] [PubMed]

M. Kolesik and J. V. Moloney, Phys. Rev. E 70, 036604(2004).
[CrossRef]

P. Polynkin, M. Kolesik, E. M. Wright, and J. V. Moloney, “Experimental tests of the new paradigm for laser filamentation in gases,” arxiv.org, http://arxiv.org/abs/1010.2303.

Mysyrowicz, A.

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

Nuter, R.

L. Bergé, S. Skupin, R. Nuter, J. Kasparian, and J.-P. Wolf, Rep. Prog. Phys. 70, 1633 (2007).
[CrossRef]

Petit, Y.

W. Ettoumi, P. Béjot, Y. Petit, V. Loriot, E. Hertz, O. Faucher, B. Lavorel, J. Kasparian, and J.-P. Wolf, Phys. Rev. A 82, 033826 (2010).
[CrossRef]

V. Loriot, P. Béjot, W. Ettoumi, Y. Petit, J. Kasparian, S. Henin, E. Hertz, B. Lavorel, O. Faucher, and J.-P. Wolf, “On negative higher-order Kerr effect and filamentation,” Laser Phys. (to be published).

Polynkin, P.

P. Polynkin, M. Kolesik, E. M. Wright, and J. V. Moloney, “Experimental tests of the new paradigm for laser filamentation in gases,” arxiv.org, http://arxiv.org/abs/1010.2303.

Reintjes, J.

J. Reintjes and C. Y. She, Opt. Commun. 27, 469 (1978).
[CrossRef]

Schmid, W. E.

K. Kosma, S. A. Trushin, W. Fuss, and W. E. Schmid, Phys. Chem. Chem. Phys. 11, 172 (2009).
[CrossRef]

K. Kosma, S. A. Trushin, W. E. Schmid, and W. Fuss, Opt. Lett. 33, 723 (2008).
[CrossRef] [PubMed]

Schröder, 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. Schröder, Can. J. Phys. 83, 863 (2005).
[CrossRef]

She, C. Y.

J. Reintjes and C. Y. She, Opt. Commun. 27, 469 (1978).
[CrossRef]

Skupin, S.

L. Bergé, S. Skupin, R. Nuter, J. Kasparian, and J.-P. Wolf, Rep. Prog. Phys. 70, 1633 (2007).
[CrossRef]

Théberge, F.

S. L. Chin, S. A. Hosseini, W. Liu, Q. Luo, F. Théberge, N. Aközbek, A. Becker, V. P. Kandidov, O. G. Kosareva, and H. Schröder, Can. J. Phys. 83, 863 (2005).
[CrossRef]

Trushin, S. A.

K. Kosma, S. A. Trushin, W. Fuss, and W. E. Schmid, Phys. Chem. Chem. Phys. 11, 172 (2009).
[CrossRef]

K. Kosma, S. A. Trushin, W. E. Schmid, and W. Fuss, Opt. Lett. 33, 723 (2008).
[CrossRef] [PubMed]

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] [PubMed]

Wolf, J.-P.

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] [PubMed]

W. Ettoumi, P. Béjot, Y. Petit, V. Loriot, E. Hertz, O. Faucher, B. Lavorel, J. Kasparian, and J.-P. Wolf, Phys. Rev. A 82, 033826 (2010).
[CrossRef]

J. Kasparian and J.-P. Wolf, Opt. Express 16, 466 (2008).
[CrossRef] [PubMed]

L. Bergé, S. Skupin, R. Nuter, J. Kasparian, and J.-P. Wolf, Rep. Prog. Phys. 70, 1633 (2007).
[CrossRef]

V. Loriot, P. Béjot, W. Ettoumi, Y. Petit, J. Kasparian, S. Henin, E. Hertz, B. Lavorel, O. Faucher, and J.-P. Wolf, “On negative higher-order Kerr effect and filamentation,” Laser Phys. (to be published).

Wright, E. M.

M. Kolesik, E. M. Wright, and J. V. Moloney, Opt. Lett. 35, 2550 (2010).
[CrossRef] [PubMed]

P. Polynkin, M. Kolesik, E. M. Wright, and J. V. Moloney, “Experimental tests of the new paradigm for laser filamentation in gases,” arxiv.org, http://arxiv.org/abs/1010.2303.

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. Schröder, Can. J. Phys. 83, 863 (2005).
[CrossRef]

IEEE J. Quantum Electron. (1)

G. C. Bjorklund, IEEE J. Quantum Electron. 11, 287 (1975).
[CrossRef]

J. Quant. Spectrosc. Radiat. Transfer (1)

A. Bideau, Y. Guern, R. Abjean, and A. Johannin-Gilles, J. Quant. Spectrosc. Radiat. Transfer 25, 395 (1981).
[CrossRef]

Opt. Commun. (1)

J. Reintjes and C. Y. She, Opt. Commun. 27, 469 (1978).
[CrossRef]

Opt. Express (3)

Opt. Lett. (3)

Phys. Chem. Chem. Phys. (1)

K. Kosma, S. A. Trushin, W. Fuss, and W. E. Schmid, Phys. Chem. Chem. Phys. 11, 172 (2009).
[CrossRef]

Phys. Rep. (1)

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

Phys. Rev. A (1)

W. Ettoumi, P. Béjot, Y. Petit, V. Loriot, E. Hertz, O. Faucher, B. Lavorel, J. Kasparian, and J.-P. Wolf, Phys. Rev. A 82, 033826 (2010).
[CrossRef]

Phys. Rev. E (1)

M. Kolesik and J. V. Moloney, Phys. Rev. E 70, 036604(2004).
[CrossRef]

Phys. Rev. Lett. (1)

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] [PubMed]

Rep. Prog. Phys. (1)

L. Bergé, S. Skupin, R. Nuter, J. Kasparian, and J.-P. Wolf, Rep. Prog. Phys. 70, 1633 (2007).
[CrossRef]

Other (4)

V. Loriot, P. Béjot, W. Ettoumi, Y. Petit, J. Kasparian, S. Henin, E. Hertz, B. Lavorel, O. Faucher, and J.-P. Wolf, “On negative higher-order Kerr effect and filamentation,” Laser Phys. (to be published).

R. W. Boyd, Nonlinear Optics, 3rd ed. (Academic, 2008).

P. Polynkin, M. Kolesik, E. M. Wright, and J. V. Moloney, “Experimental tests of the new paradigm for laser filamentation in gases,” arxiv.org, http://arxiv.org/abs/1010.2303.

W. Fuss, Max-Planck-Institut für Quantenoptik, D-85741 Garching, Germany (personal communication, 2010).

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Figures (2)

Fig. 1
Fig. 1

Analytical calculation of the pressure dependence of the third (solid blue line) and fifth (dashed red line) harmonics in argon.

Fig. 2
Fig. 2

Numerical calculation of the pressure dependence of the third (dotted blue line) and fifth (open red circles) harmonics in argon integrated over the full radial distribution. To be compared with Fig. 3 of [13]. The spectrum calculated at 50 mbar is shown in the inset.

Equations (8)

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P q = A q N 2 | J q ( b Δ k ) | 2 ,
A q = q ω 1 2 4 n q ( n 1 ) q ( ϵ 0 π ) q 1 c q w 0 2 q 2 ( χ ( q ) ) 2 P 1 q ,
J q = 2 f / b 2 ( L f ) / b d ξ exp ( i b Δ k ξ / 2 ) ( 1 + i ξ ) q 1 ,
P 5 P 3 5 3 ϵ 0 2 π 2 c 2 w 0 4 ( χ ( 5 ) χ ( 3 ) ) 2 ( N 5 | J 5 | N 3 | J 3 | ) 2 P 1 2 ,
n 2 j = ( 2 j + 1 ) ! 2 j + 1 j ! ( j + 1 ) ! 1 ( ( n 1 ) 2 ϵ 0 c ) j χ Kerr ( 2 j + 1 ) ,
P 5 P 3 3 5 π 2 w 0 4 ( n 4 n 2 ) 2 ( N 5 | J 5 | N 3 | J 3 | ) 2 P 1 2 .
z E ˜ = i k z E ˜ + 1 2 k z ( i ω 2 c 2 P ˜ NL ω ϵ 0 c 2 J ˜ ) ,
t ρ = W ( I ) ( ρ at ρ ) + σ U i I β ρ 2 ,

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