Abstract

We numerically investigate the conical emission (CE) from ultrashort laser filaments, both considering and disregarding the higher-order Kerr effect (HOKE). While the consideration of HOKE has almost no influence on the predicted CE from collimated beams, differences arise for tightly focused beams. This difference is attributed to the different relative contributions of the nonlinear focus and of the modulational instability over the whole filament length.

© 2011 Optical Society of America

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2011 (4)

P. Béjot, B. Kibler, E. Hertz, B. Lavorel, and O. Faucher, Phys. Rev. A 83, 013830 (2011).
[CrossRef]

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

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

2010 (3)

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

P. Rohwetter, J. Kasparian, K. Stelmaszczyk, S. Henin, N. Lascoux, W. M. Nakaema, Y. Petit, M. Queißer, R. Salamé, E. Salmon, Z. Q. Hao, L. Wöste, and J.-P. Wolf, Nat. Photon. 4, 451 (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]

2009 (3)

2008 (5)

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 (2)

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

D. Faccio, P. Di Trapani, S. Minardi, A. Bramati, F. Bragheri, C. Liberale, V. Degiorgio, A. Dubietis, and A. Matijosius, J. Opt. Soc. Am. B 22, 862 (2005).
[CrossRef]

2003 (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. Woste, Science 301, 61 (2003).
[CrossRef]

2002 (2)

2001 (1)

R. A. Bartels, T. C. Weinacht, S. R. Leone, H. C. Kapteyn, and M. M. Murnane, Phys. Rev. Lett. 88, 013903 (2001).
[CrossRef]

1997 (1)

1996 (1)

1994 (1)

Ackermann, R.

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, Can. J. Phys. 83, 863 (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. Woste, Science 301, 61 (2003).
[CrossRef]

S. Tzortzakis, G. Méchain, G. Pantalano, Y. B. André, B. Prade, M. Franco, A. Mysyrowicz, J. M. Munier, M. Gheudin, G. Beaudin, and P. Encrenaz, Opt. Lett. 27, 1944 (2002).
[CrossRef]

André, Y.-B.

Averchi, A.

Bartels, R. A.

R. A. Bartels, T. C. Weinacht, S. R. Leone, H. C. Kapteyn, and M. M. Murnane, Phys. Rev. Lett. 88, 013903 (2001).
[CrossRef]

Beaudin, G.

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. Schroeder, Can. J. Phys. 83, 863 (2005).
[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, B. Kibler, E. Hertz, B. Lavorel, and O. Faucher, Phys. Rev. A 83, 013830 (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. Maioli, R. Salamé, N. Lascoux, E. Salmon, P. Béjot, J. Kasparian, and J.-P. Wolf, Opt. Express 17, 4726 (2009).
[CrossRef]

Bergé, L.

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

Bourayou, R.

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. Woste, Science 301, 61 (2003).
[CrossRef]

Bragheri, F.

Bramati, A.

Brodeur, A.

Châteauneuf, M.

Chen, C. Y.

Chin, S. L.

Couairon, A.

Curley, P. F.

Daigle, J.-F.

Degiorgio, V.

Di Trapani, P.

Dubietis, A.

Dubois, J.

Encrenaz, P.

Faccio, D.

Faucher, O.

P. Béjot, B. Kibler, E. Hertz, B. Lavorel, and O. Faucher, Phys. Rev. A 83, 013830 (2011).
[CrossRef]

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

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

Franco, M.

Franco, M. A.

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. Woste, Science 301, 61 (2003).
[CrossRef]

Gaarde, M. B.

M. B. Gaarde and A. Couairon, Phys. Rev. Lett. 103, 043901 (2009).
[CrossRef]

Gheudin, M.

Grillon, G.

Hao, Z. Q.

P. Rohwetter, J. Kasparian, K. Stelmaszczyk, S. Henin, N. Lascoux, W. M. Nakaema, Y. Petit, M. Queißer, R. Salamé, E. Salmon, Z. Q. Hao, L. Wöste, and J.-P. Wolf, Nat. Photon. 4, 451 (2010).
[CrossRef]

Henin, S.

P. Rohwetter, J. Kasparian, K. Stelmaszczyk, S. Henin, N. Lascoux, W. M. Nakaema, Y. Petit, M. Queißer, R. Salamé, E. Salmon, Z. Q. Hao, L. Wöste, and J.-P. Wolf, Nat. Photon. 4, 451 (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]

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, B. Kibler, E. Hertz, B. Lavorel, and O. Faucher, Phys. Rev. A 83, 013830 (2011).
[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]

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

Hosseini, S.

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

O. G. Kosareva, V. P. Kandidov, A. Brodeur, C. Y. Chen, and S. L. Chin, Opt. Lett. 22, 1332 (1997).
[CrossRef]

Kapteyn, H. C.

R. A. Bartels, T. C. Weinacht, S. R. Leone, H. C. Kapteyn, and M. M. Murnane, Phys. Rev. Lett. 88, 013903 (2001).
[CrossRef]

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. Rohwetter, J. Kasparian, K. Stelmaszczyk, S. Henin, N. Lascoux, W. M. Nakaema, Y. Petit, M. Queißer, R. Salamé, E. Salmon, Z. Q. Hao, L. Wöste, and J.-P. Wolf, Nat. Photon. 4, 451 (2010).
[CrossRef]

P. Maioli, R. Salamé, N. Lascoux, E. Salmon, P. Béjot, J. Kasparian, and J.-P. Wolf, Opt. Express 17, 4726 (2009).
[CrossRef]

J. Kasparian, R. Ackermann, Y.-B. André, G. Méchain, G. Méjean, B. Prade, P. Rohwetter, E. Salmon, K. Stelmaszczyk, J. Yu, A. Mysyrowicz, R. Sauerbrey, L. Wöste, and J.-P. Wolf, Opt. Express 16, 5757 (2008).
[CrossRef]

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

L. Bergé, S. Skupin, R. Nuter, J. Kasparian, and J.-P. Wolf, Rep. Prog. Phys. 70, 1633 (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. Woste, Science 301, 61 (2003).
[CrossRef]

Kibler, B.

P. Béjot, B. Kibler, E. Hertz, B. Lavorel, and O. Faucher, Phys. Rev. A 83, 013830 (2011).
[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 M. Mlejnek, Phys. Rev. Lett. 89, 283902 (2002).
[CrossRef]

Kosareva, O.

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

O. G. Kosareva, V. P. Kandidov, A. Brodeur, C. Y. Chen, and S. L. Chin, Opt. Lett. 22, 1332 (1997).
[CrossRef]

Lascoux, N.

P. Rohwetter, J. Kasparian, K. Stelmaszczyk, S. Henin, N. Lascoux, W. M. Nakaema, Y. Petit, M. Queißer, R. Salamé, E. Salmon, Z. Q. Hao, L. Wöste, and J.-P. Wolf, Nat. Photon. 4, 451 (2010).
[CrossRef]

P. Maioli, R. Salamé, N. Lascoux, E. Salmon, P. Béjot, J. Kasparian, and J.-P. Wolf, Opt. Express 17, 4726 (2009).
[CrossRef]

Lavorel, B.

P. Béjot, B. Kibler, E. Hertz, B. Lavorel, and O. Faucher, Phys. Rev. A 83, 013830 (2011).
[CrossRef]

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

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

Leone, S. R.

R. A. Bartels, T. C. Weinacht, S. R. Leone, H. C. Kapteyn, and M. M. Murnane, Phys. Rev. Lett. 88, 013903 (2001).
[CrossRef]

Liberale, C.

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. Schroeder, 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]

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

Lotti, A.

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

Luther, G. G.

Maioli, P.

Makarov, V.

Mathieu, P.

Matijosius, A.

Méchain, G.

Méjean, G.

J. Kasparian, R. Ackermann, Y.-B. André, G. Méchain, G. Méjean, B. Prade, P. Rohwetter, E. Salmon, K. Stelmaszczyk, J. Yu, A. Mysyrowicz, R. Sauerbrey, L. Wöste, and J.-P. Wolf, Opt. Express 16, 5757 (2008).
[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. Woste, Science 301, 61 (2003).
[CrossRef]

Minardi, S.

Mlejnek, M.

M. Kolesik, J. V. Moloney, and M. Mlejnek, Phys. Rev. Lett. 89, 283902 (2002).
[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 M. Mlejnek, Phys. Rev. Lett. 89, 283902 (2002).
[CrossRef]

G. G. Luther, A. C. Newell, J. V. Moloney, and E. M. Wright, Opt. Lett. 19, 789 (1994).
[CrossRef]

Munier, J. M.

Murnane, M. M.

R. A. Bartels, T. C. Weinacht, S. R. Leone, H. C. Kapteyn, and M. M. Murnane, Phys. Rev. Lett. 88, 013903 (2001).
[CrossRef]

Mysyrowicz, A.

Nakaema, W. M.

P. Rohwetter, J. Kasparian, K. Stelmaszczyk, S. Henin, N. Lascoux, W. M. Nakaema, Y. Petit, M. Queißer, R. Salamé, E. Salmon, Z. Q. Hao, L. Wöste, and J.-P. Wolf, Nat. Photon. 4, 451 (2010).
[CrossRef]

Newell, A. C.

Nibbering, E. T. J.

Nuter, R.

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

Panov, N.

Pantalano, G.

Papazoglou, D.

Petit, Y.

P. Rohwetter, J. Kasparian, K. Stelmaszczyk, S. Henin, N. Lascoux, W. M. Nakaema, Y. Petit, M. Queißer, R. Salamé, E. Salmon, Z. Q. Hao, L. Wöste, and J.-P. Wolf, Nat. Photon. 4, 451 (2010).
[CrossRef]

Polynkin, P.

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

Prade, B.

Prade, B. S.

Queißer, M.

P. Rohwetter, J. Kasparian, K. Stelmaszczyk, S. Henin, N. Lascoux, W. M. Nakaema, Y. Petit, M. Queißer, R. Salamé, E. Salmon, Z. Q. Hao, L. Wöste, and J.-P. Wolf, Nat. Photon. 4, 451 (2010).
[CrossRef]

Rodriguez, M.

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. Woste, Science 301, 61 (2003).
[CrossRef]

Rohwetter, P.

P. Rohwetter, J. Kasparian, K. Stelmaszczyk, S. Henin, N. Lascoux, W. M. Nakaema, Y. Petit, M. Queißer, R. Salamé, E. Salmon, Z. Q. Hao, L. Wöste, and J.-P. Wolf, Nat. Photon. 4, 451 (2010).
[CrossRef]

J. Kasparian, R. Ackermann, Y.-B. André, G. Méchain, G. Méjean, B. Prade, P. Rohwetter, E. Salmon, K. Stelmaszczyk, J. Yu, A. Mysyrowicz, R. Sauerbrey, L. Wöste, and J.-P. Wolf, Opt. Express 16, 5757 (2008).
[CrossRef]

Ross, V.

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P. Rohwetter, J. Kasparian, K. Stelmaszczyk, S. Henin, N. Lascoux, W. M. Nakaema, Y. Petit, M. Queißer, R. Salamé, E. Salmon, Z. Q. Hao, L. Wöste, and J.-P. Wolf, Nat. Photon. 4, 451 (2010).
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J. Kasparian, R. Ackermann, Y.-B. André, G. Méchain, G. Méjean, B. Prade, P. Rohwetter, E. Salmon, K. Stelmaszczyk, J. Yu, A. Mysyrowicz, R. Sauerbrey, L. Wöste, and J.-P. Wolf, Opt. Express 16, 5757 (2008).
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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. Woste, Science 301, 61 (2003).
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L. Bergé, S. Skupin, R. Nuter, J. Kasparian, and J.-P. Wolf, Rep. Prog. Phys. 70, 1633 (2007).
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P. Rohwetter, J. Kasparian, K. Stelmaszczyk, S. Henin, N. Lascoux, W. M. Nakaema, Y. Petit, M. Queißer, R. Salamé, E. Salmon, Z. Q. Hao, L. Wöste, and J.-P. Wolf, Nat. Photon. 4, 451 (2010).
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J. Kasparian, R. Ackermann, Y.-B. André, G. Méchain, G. Méjean, B. Prade, P. Rohwetter, E. Salmon, K. Stelmaszczyk, J. Yu, A. Mysyrowicz, R. Sauerbrey, L. Wöste, and J.-P. Wolf, Opt. Express 16, 5757 (2008).
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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. Woste, Science 301, 61 (2003).
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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. Woste, Science 301, 61 (2003).
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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. Woste, Science 301, 61 (2003).
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P. Rohwetter, J. Kasparian, K. Stelmaszczyk, S. Henin, N. Lascoux, W. M. Nakaema, Y. Petit, M. Queißer, R. Salamé, E. Salmon, Z. Q. Hao, L. Wöste, and J.-P. Wolf, Nat. Photon. 4, 451 (2010).
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J. Kasparian, R. Ackermann, Y.-B. André, G. Méchain, G. Méjean, B. Prade, P. Rohwetter, E. Salmon, K. Stelmaszczyk, J. Yu, A. Mysyrowicz, R. Sauerbrey, L. Wöste, and J.-P. Wolf, Opt. Express 16, 5757 (2008).
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Can. J. Phys. (1)

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

Nat. Photon. (1)

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P. Béjot, E. Hertz, J. Kasparian, B. Lavorel, J.-P. Wolf, and O. Faucher, Phys. Rev. Lett. 106, 243902 (2011).
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P. Polynkin, M. Kolesik, E. M. Wright, and J. V. Moloney, Phys. Rev. Lett. 106, 153902 (2011).
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M. Kolesik, J. V. Moloney, and M. Mlejnek, Phys. Rev. Lett. 89, 283902 (2002).
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Rep. Prog. Phys. (1)

L. Bergé, S. Skupin, R. Nuter, J. Kasparian, and J.-P. Wolf, Rep. Prog. Phys. 70, 1633 (2007).
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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. Woste, Science 301, 61 (2003).
[CrossRef]

Supplementary Material (1)

» Media 1: MOV (1749 KB)     

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Figures (3)

Fig. 1.
Fig. 1.

Far-field angularly-resolved spectrum of 1 mJ, 30 fs pulses ( 4 P cr ) centered at 800 nm, with a radius of 3 mm at 1 / e 2 . (a) and (b)  f = 4 m , f / # = 1333 ; (c) and (d)  f = 2 m , f / # = 667 ; (e) and (f)  f = 1 m , f / # = 333 , in the case of the full model considering the HOKE [(a), (c), and (e)] and of the truncated model disregarding the HOKE [(b), (d), and (f)].

Fig. 2.
Fig. 2.

Far-field angularly-resolved spectrum of 5 mJ, 45 fs pulses centered at 800 nm, after 24 m of propagation in air, including 16 m of filamentation. (a) Full model considering the HOKE; (b) truncated model disregarding the HOKE. White dots display the experimental data of Théberge et al. [9] and Maioli et al. [25] on the IR and visible sides of the spectrum, respectively. Media 1 displays the buildup of these patterns over 8–14 m propagation range.

Fig. 3.
Fig. 3.

Buildup of the CE from a 5 mJ, 45 fs pulse centered at 800 nm. (a) Total on-axis intensity. (b)–(d) Intensity of the CE lobe at (b) 500 nm, (c) 700 nm, and (d) 1500 nm as a function of propagation distance, as predicted by the full model considering the HOKE and the truncated model disregarding the HOKE. Note that panels (b)–(d) share a common intensity scale.

Equations (1)

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K = D ( 2 k 0 I 0 n 2 , eff D ) + k ( 1 ) 2 ω 2 I 0 2 n 2 , eff 2 ,

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