Abstract

The spatiotemporal transformation of a focused femtosecond pulse in fused silica at power much less than the critical power for self-focusing was numerically studied. We found that the pulse experiences unusual spatiotemporal reshaping, such as refocusing of the near-axis portion of the defocused pulse tail, even when the self-focusing effect was not taken into the calculation. Further studies revealed that a tubelike spatiotemporal distribution of the plasma is formed during pulse propagation and that it plays a decisive role in the transformations of the pulse. In addition, the tubelike plasma was found to exist universally under different external focusing conditions if the input pulse had sufficient power.

© 2006 Optical Society of America

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References

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2005 (1)

A. Couairon, L. Sudrie, M. Franco, B. Prade, and A. Mysyrowicz, Phys. Rev. B 71, 125435 (2005).
[CrossRef]

2004 (3)

A. Dubietis, E. Gaizauskas, G. Tamosauskas, and P. Di Trapani, Phys. Rev. Lett. 92, 253903 (2004).
[CrossRef] [PubMed]

M. Kolesik, E. M. Wright, and J. V. Molnoey, Phys. Rev. Lett. 92, 253901 (2004).
[CrossRef] [PubMed]

A. Matijosius, J. Trull, P. Di Trapani, A. Dubietis, R. Piskarskas, A. Varanaviciuc, and A. Piskarskas, Opt. Lett. 29, 1123 (2004).
[CrossRef] [PubMed]

2003 (2)

Z. X. Wu, H. B. Jiang, Q. Sun, H. Yang, and Q. H. Gong, Phys. Rev. A 68, 063820 (2003).
[CrossRef]

V. P. Kandidov, O. G. Kosareva, I. S. Golubtsov, W. Liu, A. Becker, N. Akozbek, C. M. Bowden, and S. L. Chin, Appl. Phys. B 77, 149 (2003).
[CrossRef]

2002 (2)

K. Ishikawa, H. Kumagai, and K. Midorikawa, Phys. Rev. E 66, 056608 (2002).
[CrossRef]

L. Sudrie, A. Couairon, M. Franco, B. Lamouroux, B. Prade, S. Tzorztzakis, and A. Mysyrowicz, Phys. Rev. Lett. 89, 186601 (2002).
[CrossRef] [PubMed]

1995 (1)

Akozbek, N.

V. P. Kandidov, O. G. Kosareva, I. S. Golubtsov, W. Liu, A. Becker, N. Akozbek, C. M. Bowden, and S. L. Chin, Appl. Phys. B 77, 149 (2003).
[CrossRef]

Becker, A.

V. P. Kandidov, O. G. Kosareva, I. S. Golubtsov, W. Liu, A. Becker, N. Akozbek, C. M. Bowden, and S. L. Chin, Appl. Phys. B 77, 149 (2003).
[CrossRef]

Bowden, C. M.

V. P. Kandidov, O. G. Kosareva, I. S. Golubtsov, W. Liu, A. Becker, N. Akozbek, C. M. Bowden, and S. L. Chin, Appl. Phys. B 77, 149 (2003).
[CrossRef]

Braun, A.

Chin, S. L.

V. P. Kandidov, O. G. Kosareva, I. S. Golubtsov, W. Liu, A. Becker, N. Akozbek, C. M. Bowden, and S. L. Chin, Appl. Phys. B 77, 149 (2003).
[CrossRef]

Couairon, A.

A. Couairon, L. Sudrie, M. Franco, B. Prade, and A. Mysyrowicz, Phys. Rev. B 71, 125435 (2005).
[CrossRef]

L. Sudrie, A. Couairon, M. Franco, B. Lamouroux, B. Prade, S. Tzorztzakis, and A. Mysyrowicz, Phys. Rev. Lett. 89, 186601 (2002).
[CrossRef] [PubMed]

Di Trapani, P.

Du, D.

Dubietis, A.

Franco, M.

A. Couairon, L. Sudrie, M. Franco, B. Prade, and A. Mysyrowicz, Phys. Rev. B 71, 125435 (2005).
[CrossRef]

L. Sudrie, A. Couairon, M. Franco, B. Lamouroux, B. Prade, S. Tzorztzakis, and A. Mysyrowicz, Phys. Rev. Lett. 89, 186601 (2002).
[CrossRef] [PubMed]

Gaizauskas, E.

A. Dubietis, E. Gaizauskas, G. Tamosauskas, and P. Di Trapani, Phys. Rev. Lett. 92, 253903 (2004).
[CrossRef] [PubMed]

Golubtsov, I. S.

V. P. Kandidov, O. G. Kosareva, I. S. Golubtsov, W. Liu, A. Becker, N. Akozbek, C. M. Bowden, and S. L. Chin, Appl. Phys. B 77, 149 (2003).
[CrossRef]

Gong, Q. H.

Z. X. Wu, H. B. Jiang, Q. Sun, H. Yang, and Q. H. Gong, Phys. Rev. A 68, 063820 (2003).
[CrossRef]

Ishikawa, K.

K. Ishikawa, H. Kumagai, and K. Midorikawa, Phys. Rev. E 66, 056608 (2002).
[CrossRef]

Jiang, H. B.

Z. X. Wu, H. B. Jiang, Q. Sun, H. Yang, and Q. H. Gong, Phys. Rev. A 68, 063820 (2003).
[CrossRef]

Kandidov, V. P.

V. P. Kandidov, O. G. Kosareva, I. S. Golubtsov, W. Liu, A. Becker, N. Akozbek, C. M. Bowden, and S. L. Chin, Appl. Phys. B 77, 149 (2003).
[CrossRef]

Kolesik, M.

M. Kolesik, E. M. Wright, and J. V. Molnoey, Phys. Rev. Lett. 92, 253901 (2004).
[CrossRef] [PubMed]

Korn, G.

Kosareva, O. G.

V. P. Kandidov, O. G. Kosareva, I. S. Golubtsov, W. Liu, A. Becker, N. Akozbek, C. M. Bowden, and S. L. Chin, Appl. Phys. B 77, 149 (2003).
[CrossRef]

Kumagai, H.

K. Ishikawa, H. Kumagai, and K. Midorikawa, Phys. Rev. E 66, 056608 (2002).
[CrossRef]

Lamouroux, B.

L. Sudrie, A. Couairon, M. Franco, B. Lamouroux, B. Prade, S. Tzorztzakis, and A. Mysyrowicz, Phys. Rev. Lett. 89, 186601 (2002).
[CrossRef] [PubMed]

Liu, W.

V. P. Kandidov, O. G. Kosareva, I. S. Golubtsov, W. Liu, A. Becker, N. Akozbek, C. M. Bowden, and S. L. Chin, Appl. Phys. B 77, 149 (2003).
[CrossRef]

Liu, X.

Matijosius, A.

Midorikawa, K.

K. Ishikawa, H. Kumagai, and K. Midorikawa, Phys. Rev. E 66, 056608 (2002).
[CrossRef]

Molnoey, J. V.

M. Kolesik, E. M. Wright, and J. V. Molnoey, Phys. Rev. Lett. 92, 253901 (2004).
[CrossRef] [PubMed]

Mourou, G.

Mysyrowicz, A.

A. Couairon, L. Sudrie, M. Franco, B. Prade, and A. Mysyrowicz, Phys. Rev. B 71, 125435 (2005).
[CrossRef]

L. Sudrie, A. Couairon, M. Franco, B. Lamouroux, B. Prade, S. Tzorztzakis, and A. Mysyrowicz, Phys. Rev. Lett. 89, 186601 (2002).
[CrossRef] [PubMed]

Piskarskas, A.

Piskarskas, R.

Prade, B.

A. Couairon, L. Sudrie, M. Franco, B. Prade, and A. Mysyrowicz, Phys. Rev. B 71, 125435 (2005).
[CrossRef]

L. Sudrie, A. Couairon, M. Franco, B. Lamouroux, B. Prade, S. Tzorztzakis, and A. Mysyrowicz, Phys. Rev. Lett. 89, 186601 (2002).
[CrossRef] [PubMed]

Squier, J.

Sudrie, L.

A. Couairon, L. Sudrie, M. Franco, B. Prade, and A. Mysyrowicz, Phys. Rev. B 71, 125435 (2005).
[CrossRef]

L. Sudrie, A. Couairon, M. Franco, B. Lamouroux, B. Prade, S. Tzorztzakis, and A. Mysyrowicz, Phys. Rev. Lett. 89, 186601 (2002).
[CrossRef] [PubMed]

Sun, Q.

Z. X. Wu, H. B. Jiang, Q. Sun, H. Yang, and Q. H. Gong, Phys. Rev. A 68, 063820 (2003).
[CrossRef]

Tamosauskas, G.

A. Dubietis, E. Gaizauskas, G. Tamosauskas, and P. Di Trapani, Phys. Rev. Lett. 92, 253903 (2004).
[CrossRef] [PubMed]

Trull, J.

Tzorztzakis, S.

L. Sudrie, A. Couairon, M. Franco, B. Lamouroux, B. Prade, S. Tzorztzakis, and A. Mysyrowicz, Phys. Rev. Lett. 89, 186601 (2002).
[CrossRef] [PubMed]

Varanaviciuc, A.

Wright, E. M.

M. Kolesik, E. M. Wright, and J. V. Molnoey, Phys. Rev. Lett. 92, 253901 (2004).
[CrossRef] [PubMed]

Wu, Z. X.

Z. X. Wu, H. B. Jiang, Q. Sun, H. Yang, and Q. H. Gong, Phys. Rev. A 68, 063820 (2003).
[CrossRef]

Yang, H.

Z. X. Wu, H. B. Jiang, Q. Sun, H. Yang, and Q. H. Gong, Phys. Rev. A 68, 063820 (2003).
[CrossRef]

Appl. Phys. B (1)

V. P. Kandidov, O. G. Kosareva, I. S. Golubtsov, W. Liu, A. Becker, N. Akozbek, C. M. Bowden, and S. L. Chin, Appl. Phys. B 77, 149 (2003).
[CrossRef]

Opt. Lett. (2)

Phys. Rev. A (1)

Z. X. Wu, H. B. Jiang, Q. Sun, H. Yang, and Q. H. Gong, Phys. Rev. A 68, 063820 (2003).
[CrossRef]

Phys. Rev. B (1)

A. Couairon, L. Sudrie, M. Franco, B. Prade, and A. Mysyrowicz, Phys. Rev. B 71, 125435 (2005).
[CrossRef]

Phys. Rev. E (1)

K. Ishikawa, H. Kumagai, and K. Midorikawa, Phys. Rev. E 66, 056608 (2002).
[CrossRef]

Phys. Rev. Lett. (3)

A. Dubietis, E. Gaizauskas, G. Tamosauskas, and P. Di Trapani, Phys. Rev. Lett. 92, 253903 (2004).
[CrossRef] [PubMed]

M. Kolesik, E. M. Wright, and J. V. Molnoey, Phys. Rev. Lett. 92, 253901 (2004).
[CrossRef] [PubMed]

L. Sudrie, A. Couairon, M. Franco, B. Lamouroux, B. Prade, S. Tzorztzakis, and A. Mysyrowicz, Phys. Rev. Lett. 89, 186601 (2002).
[CrossRef] [PubMed]

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Figures (4)

Fig. 1
Fig. 1

Spatiotemporal distribution of the laser intensity at several propagation distances when the SF effect was neglected. The propagation distances from (a) to (h) are, in the same order, 43, 46, 48, 50, 51, 52.5, 53.5, and 57.5 μ m .

Fig. 2
Fig. 2

Spatiotemporal distribution of the laser intensity at z = 56.25 μ m when the SF effect is considered. The palette is the same as in Fig. 1.

Fig. 3
Fig. 3

Spatiotemporal distribution of the plasma density at z = 48 μ m .

Fig. 4
Fig. 4

Radial distribution of the refractive change Δ n (solid curve, right-hand axis) and the laser intensity (dotted curve, left-hand axis) at a typical local time ξ = 15 fs at several propagation distances in the conditions shown in Fig. 1.

Equations (3)

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( i 2 k z + 2 ) ϵ = k k 2 ϵ ξ 2 2 k k 0 n 2 ϵ 2 ϵ i k σ ( 1 + i ω τ ) ρ ϵ i k β ( K ) ϵ 2 K 2 ϵ ,
ρ ξ = σ n 0 2 E g ρ ϵ 2 + σ K ρ at ϵ 2 K ρ τ r .
ϵ ( r , z = 0 , ξ ) = ( 2 P in π w ini 2 ) 0.5 exp [ r 2 w ini 2 ξ 2 τ p 2 i k 0 r 2 ( 2 R ini ) ] ,

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