Abstract

Multiple filamentation has been observed when focusing a femtosecond laser pulse into a methanol solution with an axicon. It is found that multiple long filaments are located on the central spot and ring structures of the quasi-Bessel beam created by the axicon. Since the quasi-Bessel profile is determined by the axicon properties, the axicon has been suggested as a simple optics to control multiple filaments.

© 2012 Optical Society of America

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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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2011 (1)

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

2010 (1)

P. Bejot, 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 (2)

S. Akturk, B. Zhou, M. Franco, A. Couairon, and A. Mysyrowicz, Opt. Commun. 282, 129 (2009).
[CrossRef]

Z. Song, Z. Zhang, and T. Nakajima, Opt. Express 17, 12217 (2009).
[CrossRef]

2008 (4)

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

P. Polynkin, M. Kolesik, A. Roberts, D. Faccio, P. Di Trapani, and J. Moloney, Opt. Express 16, 15733(2008).
[CrossRef]

P. Polesana, M. Franco, A. Couairon, D. Faccio, and P. Di Trapani, Phys. Rev. A 77, 043814 (2008).
[CrossRef]

M. Châteauneuf, S. Payeur, J. Dubois, and J.-C. Kieffer, Appl. Phys. Lett. 92, 091104 (2008).
[CrossRef]

2007 (3)

W. Liu and S. L. Chin, Phys. Rev. A 76, 013826 (2007).
[CrossRef]

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

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

2005 (2)

O. G. Kosareva, A. V. Grigorévskii, and V. P. Kandidov, Quantum Electron 35, 1013 (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, Can. J. Phys. 83, 863 (2005).
[CrossRef]

2004 (2)

2003 (3)

W. Liu, S. L. Chin, O. Kosareva, I. S. Golubtsov, and V. P. Kandidov, Opt. Commun. 225, 193 (2003).
[CrossRef]

F. Courvoisier, V. Boutou, J. Kasparian, E. Salmon, G. Méjean, J. Yu, and J.-P. Wolf, Appl. Phys. Lett. 83, 213 (2003).
[CrossRef]

K. Cook, R. A. Lamb, and A. K. Kar, Appl. Phys. Lett. 83, 3861 (2003).
[CrossRef]

1999 (2)

A. Brodeur and S. L. Chin, J. Opt. Soc. Am. B 16, 637 (1999).
[CrossRef]

M. Mlejnek, M. Kolesik, J. V. Moloney, and E. M. Wright, Phys. Rev. Lett. 83, 2938 (1999).
[CrossRef]

1992 (1)

1987 (1)

J. Durnin, J. J. Miceli, and J. H. Eberly, Phys. Rev. Lett. 58, 1499 (1987).
[CrossRef]

1954 (1)

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]

Akturk, S.

S. Akturk, B. Zhou, M. Franco, A. Couairon, and A. Mysyrowicz, Opt. Commun. 282, 129 (2009).
[CrossRef]

Arimoto, R.

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]

Bejot, P.

P. Bejot, 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]

Béjot, P.

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

Bergé, L.

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

Boutou, V.

F. Courvoisier, V. Boutou, J. Kasparian, E. Salmon, G. Méjean, J. Yu, and J.-P. Wolf, Appl. Phys. Lett. 83, 213 (2003).
[CrossRef]

Brodeur, A.

Châteauneuf, M.

M. Châteauneuf, S. Payeur, J. Dubois, and J.-C. Kieffer, Appl. Phys. Lett. 92, 091104 (2008).
[CrossRef]

Chin, S. L.

W. Liu and S. L. Chin, Phys. Rev. A 76, 013826 (2007).
[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, Can. J. Phys. 83, 863 (2005).
[CrossRef]

H. Schroeder, J. Liu, and S. L. Chin, Opt. Express 12, 4768 (2004).
[CrossRef]

W. Liu, S. L. Chin, O. Kosareva, I. S. Golubtsov, and V. P. Kandidov, Opt. Commun. 225, 193 (2003).
[CrossRef]

A. Brodeur and S. L. Chin, J. Opt. Soc. Am. B 16, 637 (1999).
[CrossRef]

Cook, K.

K. Cook, R. A. Lamb, and A. K. Kar, Appl. Phys. Lett. 83, 3861 (2003).
[CrossRef]

Couairon, A.

S. Akturk, B. Zhou, M. Franco, A. Couairon, and A. Mysyrowicz, Opt. Commun. 282, 129 (2009).
[CrossRef]

P. Polesana, M. Franco, A. Couairon, D. Faccio, and P. Di Trapani, Phys. Rev. A 77, 043814 (2008).
[CrossRef]

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

Courvoisier, F.

F. Courvoisier, V. Boutou, J. Kasparian, E. Salmon, G. Méjean, J. Yu, and J.-P. Wolf, Appl. Phys. Lett. 83, 213 (2003).
[CrossRef]

Di Trapani, P.

P. Polynkin, M. Kolesik, A. Roberts, D. Faccio, P. Di Trapani, and J. Moloney, Opt. Express 16, 15733(2008).
[CrossRef]

P. Polesana, M. Franco, A. Couairon, D. Faccio, and P. Di Trapani, Phys. Rev. A 77, 043814 (2008).
[CrossRef]

Dubietis, A.

Dubois, J.

M. Châteauneuf, S. Payeur, J. Dubois, and J.-C. Kieffer, Appl. Phys. Lett. 92, 091104 (2008).
[CrossRef]

Durnin, J.

J. Durnin, J. J. Miceli, and J. H. Eberly, Phys. Rev. Lett. 58, 1499 (1987).
[CrossRef]

Eberly, J. H.

J. Durnin, J. J. Miceli, and J. H. Eberly, Phys. Rev. Lett. 58, 1499 (1987).
[CrossRef]

Faccio, D.

P. Polynkin, M. Kolesik, A. Roberts, D. Faccio, P. Di Trapani, and J. Moloney, Opt. Express 16, 15733(2008).
[CrossRef]

P. Polesana, M. Franco, A. Couairon, D. Faccio, and P. Di Trapani, Phys. Rev. A 77, 043814 (2008).
[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. Bejot, 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]

Fibich, G.

Franco, M.

S. Akturk, B. Zhou, M. Franco, A. Couairon, and A. Mysyrowicz, Opt. Commun. 282, 129 (2009).
[CrossRef]

P. Polesana, M. Franco, A. Couairon, D. Faccio, and P. Di Trapani, Phys. Rev. A 77, 043814 (2008).
[CrossRef]

Golubtsov, I. S.

W. Liu, S. L. Chin, O. Kosareva, I. S. Golubtsov, and V. P. Kandidov, Opt. Commun. 225, 193 (2003).
[CrossRef]

Grigorévskii, A. V.

O. G. Kosareva, A. V. Grigorévskii, and V. P. Kandidov, Quantum Electron 35, 1013 (2005).
[CrossRef]

Henin, S.

P. Bejot, 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. Bejot, 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]

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]

Ilan, B.

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, A. V. Grigorévskii, and V. P. Kandidov, Quantum Electron 35, 1013 (2005).
[CrossRef]

W. Liu, S. L. Chin, O. Kosareva, I. S. Golubtsov, and V. P. Kandidov, Opt. Commun. 225, 193 (2003).
[CrossRef]

Kar, A. K.

K. Cook, R. A. Lamb, and A. K. Kar, Appl. Phys. Lett. 83, 3861 (2003).
[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. Bejot, 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]

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]

F. Courvoisier, V. Boutou, J. Kasparian, E. Salmon, G. Méjean, J. Yu, and J.-P. Wolf, Appl. Phys. Lett. 83, 213 (2003).
[CrossRef]

Kawata, S.

Kieffer, J.-C.

M. Châteauneuf, S. Payeur, J. Dubois, and J.-C. Kieffer, Appl. Phys. Lett. 92, 091104 (2008).
[CrossRef]

Kolesik, M.

P. Polynkin, M. Kolesik, A. Roberts, D. Faccio, P. Di Trapani, and J. Moloney, Opt. Express 16, 15733(2008).
[CrossRef]

M. Mlejnek, M. Kolesik, J. V. Moloney, and E. M. Wright, Phys. Rev. Lett. 83, 2938 (1999).
[CrossRef]

Kosareva, O.

W. Liu, S. L. Chin, O. Kosareva, I. S. Golubtsov, and V. P. Kandidov, Opt. Commun. 225, 193 (2003).
[CrossRef]

Kosareva, O. G.

O. G. Kosareva, A. V. Grigorévskii, and V. P. Kandidov, Quantum Electron 35, 1013 (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, Can. J. Phys. 83, 863 (2005).
[CrossRef]

Lamb, R. A.

K. Cook, R. A. Lamb, and A. K. Kar, Appl. Phys. Lett. 83, 3861 (2003).
[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. Bejot, 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]

Liu, J.

Liu, W.

W. Liu and S. L. Chin, Phys. Rev. A 76, 013826 (2007).
[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, Can. J. Phys. 83, 863 (2005).
[CrossRef]

W. Liu, S. L. Chin, O. Kosareva, I. S. Golubtsov, and V. P. Kandidov, Opt. Commun. 225, 193 (2003).
[CrossRef]

Loriot, V.

P. Bejot, 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]

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]

Mcleod, J. H.

Méjean, G.

F. Courvoisier, V. Boutou, J. Kasparian, E. Salmon, G. Méjean, J. Yu, and J.-P. Wolf, Appl. Phys. Lett. 83, 213 (2003).
[CrossRef]

Miceli, J. J.

J. Durnin, J. J. Miceli, and J. H. Eberly, Phys. Rev. Lett. 58, 1499 (1987).
[CrossRef]

Mlejnek, M.

M. Mlejnek, M. Kolesik, J. V. Moloney, and E. M. Wright, Phys. Rev. Lett. 83, 2938 (1999).
[CrossRef]

Moloney, J.

Moloney, J. V.

M. Mlejnek, M. Kolesik, J. V. Moloney, and E. M. Wright, Phys. Rev. Lett. 83, 2938 (1999).
[CrossRef]

Mysyrowicz, A.

S. Akturk, B. Zhou, M. Franco, A. Couairon, and A. Mysyrowicz, Opt. Commun. 282, 129 (2009).
[CrossRef]

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

Nakajima, T.

Nuter, R.

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

Payeur, S.

M. Châteauneuf, S. Payeur, J. Dubois, and J.-C. Kieffer, Appl. Phys. Lett. 92, 091104 (2008).
[CrossRef]

Polesana, P.

P. Polesana, M. Franco, A. Couairon, D. Faccio, and P. Di Trapani, Phys. Rev. A 77, 043814 (2008).
[CrossRef]

Polynkin, P.

Roberts, A.

Salmon, E.

F. Courvoisier, V. Boutou, J. Kasparian, E. Salmon, G. Méjean, J. Yu, and J.-P. Wolf, Appl. Phys. Lett. 83, 213 (2003).
[CrossRef]

Saloma, C.

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

H. Schroeder, J. Liu, and S. L. Chin, Opt. Express 12, 4768 (2004).
[CrossRef]

Skupin, S.

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

Song, Z.

Tamosauskas, G.

Tanaka, T.

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

Vieillard, T.

P. Bejot, 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.

P. Bejot, 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.

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

F. Courvoisier, V. Boutou, J. Kasparian, E. Salmon, G. Méjean, J. Yu, and J.-P. Wolf, Appl. Phys. Lett. 83, 213 (2003).
[CrossRef]

Wright, E. M.

M. Mlejnek, M. Kolesik, J. V. Moloney, and E. M. Wright, Phys. Rev. Lett. 83, 2938 (1999).
[CrossRef]

Yu, J.

F. Courvoisier, V. Boutou, J. Kasparian, E. Salmon, G. Méjean, J. Yu, and J.-P. Wolf, Appl. Phys. Lett. 83, 213 (2003).
[CrossRef]

Zhang, Z.

Zhou, B.

S. Akturk, B. Zhou, M. Franco, A. Couairon, and A. Mysyrowicz, Opt. Commun. 282, 129 (2009).
[CrossRef]

Appl. Opt. (1)

Appl. Phys. Lett. (3)

F. Courvoisier, V. Boutou, J. Kasparian, E. Salmon, G. Méjean, J. Yu, and J.-P. Wolf, Appl. Phys. Lett. 83, 213 (2003).
[CrossRef]

K. Cook, R. A. Lamb, and A. K. Kar, Appl. Phys. Lett. 83, 3861 (2003).
[CrossRef]

M. Châteauneuf, S. Payeur, J. Dubois, and J.-C. Kieffer, Appl. Phys. Lett. 92, 091104 (2008).
[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, Can. J. Phys. 83, 863 (2005).
[CrossRef]

J. Opt. Soc. Am. (1)

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

Opt. Commun. (2)

S. Akturk, B. Zhou, M. Franco, A. Couairon, and A. Mysyrowicz, Opt. Commun. 282, 129 (2009).
[CrossRef]

W. Liu, S. L. Chin, O. Kosareva, I. S. Golubtsov, and V. P. Kandidov, Opt. Commun. 225, 193 (2003).
[CrossRef]

Opt. Express (4)

Opt. Lett. (1)

Phys. Rep. (1)

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

Phys. Rev. A (2)

P. Polesana, M. Franco, A. Couairon, D. Faccio, and P. Di Trapani, Phys. Rev. A 77, 043814 (2008).
[CrossRef]

W. Liu and S. L. Chin, Phys. Rev. A 76, 013826 (2007).
[CrossRef]

Phys. Rev. Lett. (4)

J. Durnin, J. J. Miceli, and J. H. Eberly, Phys. Rev. Lett. 58, 1499 (1987).
[CrossRef]

M. Mlejnek, M. Kolesik, J. V. Moloney, and E. M. Wright, Phys. Rev. Lett. 83, 2938 (1999).
[CrossRef]

P. Bejot, 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]

Quantum Electron (1)

O. G. Kosareva, A. V. Grigorévskii, and V. P. Kandidov, Quantum Electron 35, 1013 (2005).
[CrossRef]

Rep. Prog. Phys. (1)

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

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Figures (3)

Fig. 1.
Fig. 1.

Images of multiple filaments taken by digital camera: (a) without using the axicon (inset: input laser profile); (b) using the axicon (inset: quasi-Bessel beam created by the axicon in linear propagation). Images of multiple filaments using the axicon taken by a CCD camera: (c) z=2.4cm, (d) z=5.9cm, and (e) z=8.7cm with respect to the cell input window.

Fig. 2.
Fig. 2.

(a) Cross-section fluorescence distribution at z=2.4cm, 5.9 cm, and 8.7 cm with respect to the cell input window. (b) Calculated Bessel shape generated by axicon in experiment. (c) Supercontinuum spectra with and without using axicon. Images of filaments taken at (d) 80 μJ and (e) 1.5 mJ. z=5.9cm for (d) and (e).

Fig. 3.
Fig. 3.

(a) Initial beam pattern used in simulations. (b) “Optical turbulence” generated without using axicon. Simulated longitudinal intensity distribution in x=0 plane in the cases of (c) focused by the axicon, (d) linear propagation. Insets of (c), (d): corresponding simulated transverse intensity distribution at z=1.4mm. Plots are normalized to the input laser peak intensity.

Equations (1)

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2ik0Az+(2x2+2y2)A+2k02ΔnA=0,

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