Abstract

We investigate the influence of a chirped phase on femtosecond pulses propagating in air. Pulses with an initially negative chirp are temporally compressed by compensation with group-velocity dispersion. We demonstrate that this property, combined with plasma defocusing, can be used to trigger filamentation at different foci, increase self-guiding ranges, or even shorten pulse duration.

© 2005 Optical Society of America

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  1. A. Braun, G. Korn, X. Liu, D. Du, J. Squier, and G. Mourou, Opt. Lett. 20, 73 (1995).
    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef]
  5. I. Alexeev, A. Ting, D. F. Gordon, E. Briscoe, J. R. Peñano, R. Hubbard, and P. Sprangle, Appl. Phys. Lett. 84, 4080 (2004).
    [CrossRef]
  6. P. Sprangle, J. Peñano, and B. Hafizi, Phys. Rev. E 66, 046418 (2002).
    [CrossRef]
  7. S. Skupin, L. Bergé, U. Peschel, F. Lederer, G. Méjean, J. Yu, J. Kasparian, E. Salmon, J. P. Wolf, M. Rodriguez, L. Wöste, R. Bourayou, and R. Sauerbrey, Phys. Rev. E 70, 046602 (2004).
    [CrossRef]
  8. A. Perelomov, V. Popov, and M. Terent’ev, Sov. Phys. JETP 23, 924 (1966).
  9. S. Champeaux and L. Bergé, Phys. Rev. E 68, 066603 (2003).
    [CrossRef]

2004

M. Rodriguez, R. Bourayou, G. Méjean, J. Kasparian, J. Yu, E. Salmon, A. Scholz, B. Stecklum, J. Eislöffel, U. Laux, A. Hatzes, R. Sauerbrey, L. Wöste, and J.-P. Wolf, Phys. Rev. E 69, 036607 (2004).
[CrossRef]

I. Alexeev, A. Ting, D. F. Gordon, E. Briscoe, J. R. Peñano, R. Hubbard, and P. Sprangle, Appl. Phys. Lett. 84, 4080 (2004).
[CrossRef]

S. Skupin, L. Bergé, U. Peschel, F. Lederer, G. Méjean, J. Yu, J. Kasparian, E. Salmon, J. P. Wolf, M. Rodriguez, L. Wöste, R. Bourayou, and R. Sauerbrey, Phys. Rev. E 70, 046602 (2004).
[CrossRef]

2003

S. Champeaux and L. Bergé, Phys. Rev. E 68, 066603 (2003).
[CrossRef]

J. Kasparian, M. Rodriguez, G. Méjean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y. André, A. Mysyrowicz, R. Sauerbrey, J.-P. Wolf, and L. Wöste, Science 301, 61 (2003).
[CrossRef] [PubMed]

2002

P. Sprangle, J. Peñano, and B. Hafizi, Phys. Rev. E 66, 046418 (2002).
[CrossRef]

1998

1995

1966

A. Perelomov, V. Popov, and M. Terent’ev, Sov. Phys. JETP 23, 924 (1966).

Alexeev, I.

I. Alexeev, A. Ting, D. F. Gordon, E. Briscoe, J. R. Peñano, R. Hubbard, and P. Sprangle, Appl. Phys. Lett. 84, 4080 (2004).
[CrossRef]

André, Y.

J. Kasparian, M. Rodriguez, G. Méjean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y. André, A. Mysyrowicz, R. Sauerbrey, J.-P. Wolf, and L. Wöste, Science 301, 61 (2003).
[CrossRef] [PubMed]

Bergé, L.

S. Skupin, L. Bergé, U. Peschel, F. Lederer, G. Méjean, J. Yu, J. Kasparian, E. Salmon, J. P. Wolf, M. Rodriguez, L. Wöste, R. Bourayou, and R. Sauerbrey, Phys. Rev. E 70, 046602 (2004).
[CrossRef]

S. Champeaux and L. Bergé, Phys. Rev. E 68, 066603 (2003).
[CrossRef]

Bourayou, R.

S. Skupin, L. Bergé, U. Peschel, F. Lederer, G. Méjean, J. Yu, J. Kasparian, E. Salmon, J. P. Wolf, M. Rodriguez, L. Wöste, R. Bourayou, and R. Sauerbrey, Phys. Rev. E 70, 046602 (2004).
[CrossRef]

M. Rodriguez, R. Bourayou, G. Méjean, J. Kasparian, J. Yu, E. Salmon, A. Scholz, B. Stecklum, J. Eislöffel, U. Laux, A. Hatzes, R. Sauerbrey, L. Wöste, and J.-P. Wolf, Phys. Rev. E 69, 036607 (2004).
[CrossRef]

J. Kasparian, M. Rodriguez, G. Méjean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y. André, A. Mysyrowicz, R. Sauerbrey, J.-P. Wolf, and L. Wöste, Science 301, 61 (2003).
[CrossRef] [PubMed]

Braun, A.

Briscoe, E.

I. Alexeev, A. Ting, D. F. Gordon, E. Briscoe, J. R. Peñano, R. Hubbard, and P. Sprangle, Appl. Phys. Lett. 84, 4080 (2004).
[CrossRef]

Champeaux, S.

S. Champeaux and L. Bergé, Phys. Rev. E 68, 066603 (2003).
[CrossRef]

Du, D.

Eislöffel, J.

M. Rodriguez, R. Bourayou, G. Méjean, J. Kasparian, J. Yu, E. Salmon, A. Scholz, B. Stecklum, J. Eislöffel, U. Laux, A. Hatzes, R. Sauerbrey, L. Wöste, and J.-P. Wolf, Phys. Rev. E 69, 036607 (2004).
[CrossRef]

Frey, S.

J. Kasparian, M. Rodriguez, G. Méjean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y. André, A. Mysyrowicz, R. Sauerbrey, J.-P. Wolf, and L. Wöste, Science 301, 61 (2003).
[CrossRef] [PubMed]

Gordon, D. F.

I. Alexeev, A. Ting, D. F. Gordon, E. Briscoe, J. R. Peñano, R. Hubbard, and P. Sprangle, Appl. Phys. Lett. 84, 4080 (2004).
[CrossRef]

Hafizi, B.

P. Sprangle, J. Peñano, and B. Hafizi, Phys. Rev. E 66, 046418 (2002).
[CrossRef]

Hatzes, A.

M. Rodriguez, R. Bourayou, G. Méjean, J. Kasparian, J. Yu, E. Salmon, A. Scholz, B. Stecklum, J. Eislöffel, U. Laux, A. Hatzes, R. Sauerbrey, L. Wöste, and J.-P. Wolf, Phys. Rev. E 69, 036607 (2004).
[CrossRef]

Hubbard, R.

I. Alexeev, A. Ting, D. F. Gordon, E. Briscoe, J. R. Peñano, R. Hubbard, and P. Sprangle, Appl. Phys. Lett. 84, 4080 (2004).
[CrossRef]

Kasparian, J.

S. Skupin, L. Bergé, U. Peschel, F. Lederer, G. Méjean, J. Yu, J. Kasparian, E. Salmon, J. P. Wolf, M. Rodriguez, L. Wöste, R. Bourayou, and R. Sauerbrey, Phys. Rev. E 70, 046602 (2004).
[CrossRef]

M. Rodriguez, R. Bourayou, G. Méjean, J. Kasparian, J. Yu, E. Salmon, A. Scholz, B. Stecklum, J. Eislöffel, U. Laux, A. Hatzes, R. Sauerbrey, L. Wöste, and J.-P. Wolf, Phys. Rev. E 69, 036607 (2004).
[CrossRef]

J. Kasparian, M. Rodriguez, G. Méjean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y. André, A. Mysyrowicz, R. Sauerbrey, J.-P. Wolf, and L. Wöste, Science 301, 61 (2003).
[CrossRef] [PubMed]

Korn, G.

Laux, U.

M. Rodriguez, R. Bourayou, G. Méjean, J. Kasparian, J. Yu, E. Salmon, A. Scholz, B. Stecklum, J. Eislöffel, U. Laux, A. Hatzes, R. Sauerbrey, L. Wöste, and J.-P. Wolf, Phys. Rev. E 69, 036607 (2004).
[CrossRef]

Lederer, F.

S. Skupin, L. Bergé, U. Peschel, F. Lederer, G. Méjean, J. Yu, J. Kasparian, E. Salmon, J. P. Wolf, M. Rodriguez, L. Wöste, R. Bourayou, and R. Sauerbrey, Phys. Rev. E 70, 046602 (2004).
[CrossRef]

Liu, X.

Méjean, G.

M. Rodriguez, R. Bourayou, G. Méjean, J. Kasparian, J. Yu, E. Salmon, A. Scholz, B. Stecklum, J. Eislöffel, U. Laux, A. Hatzes, R. Sauerbrey, L. Wöste, and J.-P. Wolf, Phys. Rev. E 69, 036607 (2004).
[CrossRef]

S. Skupin, L. Bergé, U. Peschel, F. Lederer, G. Méjean, J. Yu, J. Kasparian, E. Salmon, J. P. Wolf, M. Rodriguez, L. Wöste, R. Bourayou, and R. Sauerbrey, Phys. Rev. E 70, 046602 (2004).
[CrossRef]

J. Kasparian, M. Rodriguez, G. Méjean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y. André, A. Mysyrowicz, R. Sauerbrey, J.-P. Wolf, and L. Wöste, Science 301, 61 (2003).
[CrossRef] [PubMed]

Mlejnek, M.

Moloney, J.

Mourou, G.

Mysyrowicz, A.

J. Kasparian, M. Rodriguez, G. Méjean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y. André, A. Mysyrowicz, R. Sauerbrey, J.-P. Wolf, and L. Wöste, Science 301, 61 (2003).
[CrossRef] [PubMed]

Peñano, J.

P. Sprangle, J. Peñano, and B. Hafizi, Phys. Rev. E 66, 046418 (2002).
[CrossRef]

Peñano, J. R.

I. Alexeev, A. Ting, D. F. Gordon, E. Briscoe, J. R. Peñano, R. Hubbard, and P. Sprangle, Appl. Phys. Lett. 84, 4080 (2004).
[CrossRef]

Perelomov, A.

A. Perelomov, V. Popov, and M. Terent’ev, Sov. Phys. JETP 23, 924 (1966).

Peschel, U.

S. Skupin, L. Bergé, U. Peschel, F. Lederer, G. Méjean, J. Yu, J. Kasparian, E. Salmon, J. P. Wolf, M. Rodriguez, L. Wöste, R. Bourayou, and R. Sauerbrey, Phys. Rev. E 70, 046602 (2004).
[CrossRef]

Popov, V.

A. Perelomov, V. Popov, and M. Terent’ev, Sov. Phys. JETP 23, 924 (1966).

Rodriguez, M.

S. Skupin, L. Bergé, U. Peschel, F. Lederer, G. Méjean, J. Yu, J. Kasparian, E. Salmon, J. P. Wolf, M. Rodriguez, L. Wöste, R. Bourayou, and R. Sauerbrey, Phys. Rev. E 70, 046602 (2004).
[CrossRef]

M. Rodriguez, R. Bourayou, G. Méjean, J. Kasparian, J. Yu, E. Salmon, A. Scholz, B. Stecklum, J. Eislöffel, U. Laux, A. Hatzes, R. Sauerbrey, L. Wöste, and J.-P. Wolf, Phys. Rev. E 69, 036607 (2004).
[CrossRef]

J. Kasparian, M. Rodriguez, G. Méjean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y. André, A. Mysyrowicz, R. Sauerbrey, J.-P. Wolf, and L. Wöste, Science 301, 61 (2003).
[CrossRef] [PubMed]

Salmon, E.

M. Rodriguez, R. Bourayou, G. Méjean, J. Kasparian, J. Yu, E. Salmon, A. Scholz, B. Stecklum, J. Eislöffel, U. Laux, A. Hatzes, R. Sauerbrey, L. Wöste, and J.-P. Wolf, Phys. Rev. E 69, 036607 (2004).
[CrossRef]

S. Skupin, L. Bergé, U. Peschel, F. Lederer, G. Méjean, J. Yu, J. Kasparian, E. Salmon, J. P. Wolf, M. Rodriguez, L. Wöste, R. Bourayou, and R. Sauerbrey, Phys. Rev. E 70, 046602 (2004).
[CrossRef]

J. Kasparian, M. Rodriguez, G. Méjean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y. André, A. Mysyrowicz, R. Sauerbrey, J.-P. Wolf, and L. Wöste, Science 301, 61 (2003).
[CrossRef] [PubMed]

Sauerbrey, R.

M. Rodriguez, R. Bourayou, G. Méjean, J. Kasparian, J. Yu, E. Salmon, A. Scholz, B. Stecklum, J. Eislöffel, U. Laux, A. Hatzes, R. Sauerbrey, L. Wöste, and J.-P. Wolf, Phys. Rev. E 69, 036607 (2004).
[CrossRef]

S. Skupin, L. Bergé, U. Peschel, F. Lederer, G. Méjean, J. Yu, J. Kasparian, E. Salmon, J. P. Wolf, M. Rodriguez, L. Wöste, R. Bourayou, and R. Sauerbrey, Phys. Rev. E 70, 046602 (2004).
[CrossRef]

J. Kasparian, M. Rodriguez, G. Méjean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y. André, A. Mysyrowicz, R. Sauerbrey, J.-P. Wolf, and L. Wöste, Science 301, 61 (2003).
[CrossRef] [PubMed]

Scholz, A.

M. Rodriguez, R. Bourayou, G. Méjean, J. Kasparian, J. Yu, E. Salmon, A. Scholz, B. Stecklum, J. Eislöffel, U. Laux, A. Hatzes, R. Sauerbrey, L. Wöste, and J.-P. Wolf, Phys. Rev. E 69, 036607 (2004).
[CrossRef]

Skupin, S.

S. Skupin, L. Bergé, U. Peschel, F. Lederer, G. Méjean, J. Yu, J. Kasparian, E. Salmon, J. P. Wolf, M. Rodriguez, L. Wöste, R. Bourayou, and R. Sauerbrey, Phys. Rev. E 70, 046602 (2004).
[CrossRef]

Sprangle, P.

I. Alexeev, A. Ting, D. F. Gordon, E. Briscoe, J. R. Peñano, R. Hubbard, and P. Sprangle, Appl. Phys. Lett. 84, 4080 (2004).
[CrossRef]

P. Sprangle, J. Peñano, and B. Hafizi, Phys. Rev. E 66, 046418 (2002).
[CrossRef]

Squier, J.

Stecklum, B.

M. Rodriguez, R. Bourayou, G. Méjean, J. Kasparian, J. Yu, E. Salmon, A. Scholz, B. Stecklum, J. Eislöffel, U. Laux, A. Hatzes, R. Sauerbrey, L. Wöste, and J.-P. Wolf, Phys. Rev. E 69, 036607 (2004).
[CrossRef]

Terent’ev, M.

A. Perelomov, V. Popov, and M. Terent’ev, Sov. Phys. JETP 23, 924 (1966).

Ting, A.

I. Alexeev, A. Ting, D. F. Gordon, E. Briscoe, J. R. Peñano, R. Hubbard, and P. Sprangle, Appl. Phys. Lett. 84, 4080 (2004).
[CrossRef]

Wille, H.

J. Kasparian, M. Rodriguez, G. Méjean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y. André, A. Mysyrowicz, R. Sauerbrey, J.-P. Wolf, and L. Wöste, Science 301, 61 (2003).
[CrossRef] [PubMed]

Wolf, J. P.

S. Skupin, L. Bergé, U. Peschel, F. Lederer, G. Méjean, J. Yu, J. Kasparian, E. Salmon, J. P. Wolf, M. Rodriguez, L. Wöste, R. Bourayou, and R. Sauerbrey, Phys. Rev. E 70, 046602 (2004).
[CrossRef]

Wolf, J.-P.

M. Rodriguez, R. Bourayou, G. Méjean, J. Kasparian, J. Yu, E. Salmon, A. Scholz, B. Stecklum, J. Eislöffel, U. Laux, A. Hatzes, R. Sauerbrey, L. Wöste, and J.-P. Wolf, Phys. Rev. E 69, 036607 (2004).
[CrossRef]

J. Kasparian, M. Rodriguez, G. Méjean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y. André, A. Mysyrowicz, R. Sauerbrey, J.-P. Wolf, and L. Wöste, Science 301, 61 (2003).
[CrossRef] [PubMed]

Wöste, L.

M. Rodriguez, R. Bourayou, G. Méjean, J. Kasparian, J. Yu, E. Salmon, A. Scholz, B. Stecklum, J. Eislöffel, U. Laux, A. Hatzes, R. Sauerbrey, L. Wöste, and J.-P. Wolf, Phys. Rev. E 69, 036607 (2004).
[CrossRef]

S. Skupin, L. Bergé, U. Peschel, F. Lederer, G. Méjean, J. Yu, J. Kasparian, E. Salmon, J. P. Wolf, M. Rodriguez, L. Wöste, R. Bourayou, and R. Sauerbrey, Phys. Rev. E 70, 046602 (2004).
[CrossRef]

J. Kasparian, M. Rodriguez, G. Méjean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y. André, A. Mysyrowicz, R. Sauerbrey, J.-P. Wolf, and L. Wöste, Science 301, 61 (2003).
[CrossRef] [PubMed]

Wright, E.

Yu, J.

S. Skupin, L. Bergé, U. Peschel, F. Lederer, G. Méjean, J. Yu, J. Kasparian, E. Salmon, J. P. Wolf, M. Rodriguez, L. Wöste, R. Bourayou, and R. Sauerbrey, Phys. Rev. E 70, 046602 (2004).
[CrossRef]

M. Rodriguez, R. Bourayou, G. Méjean, J. Kasparian, J. Yu, E. Salmon, A. Scholz, B. Stecklum, J. Eislöffel, U. Laux, A. Hatzes, R. Sauerbrey, L. Wöste, and J.-P. Wolf, Phys. Rev. E 69, 036607 (2004).
[CrossRef]

J. Kasparian, M. Rodriguez, G. Méjean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y. André, A. Mysyrowicz, R. Sauerbrey, J.-P. Wolf, and L. Wöste, Science 301, 61 (2003).
[CrossRef] [PubMed]

Appl. Phys. Lett.

I. Alexeev, A. Ting, D. F. Gordon, E. Briscoe, J. R. Peñano, R. Hubbard, and P. Sprangle, Appl. Phys. Lett. 84, 4080 (2004).
[CrossRef]

Opt. Lett.

Phys. Rev. E

S. Champeaux and L. Bergé, Phys. Rev. E 68, 066603 (2003).
[CrossRef]

P. Sprangle, J. Peñano, and B. Hafizi, Phys. Rev. E 66, 046418 (2002).
[CrossRef]

S. Skupin, L. Bergé, U. Peschel, F. Lederer, G. Méjean, J. Yu, J. Kasparian, E. Salmon, J. P. Wolf, M. Rodriguez, L. Wöste, R. Bourayou, and R. Sauerbrey, Phys. Rev. E 70, 046602 (2004).
[CrossRef]

M. Rodriguez, R. Bourayou, G. Méjean, J. Kasparian, J. Yu, E. Salmon, A. Scholz, B. Stecklum, J. Eislöffel, U. Laux, A. Hatzes, R. Sauerbrey, L. Wöste, and J.-P. Wolf, Phys. Rev. E 69, 036607 (2004).
[CrossRef]

Science

J. Kasparian, M. Rodriguez, G. Méjean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y. André, A. Mysyrowicz, R. Sauerbrey, J.-P. Wolf, and L. Wöste, Science 301, 61 (2003).
[CrossRef] [PubMed]

Sov. Phys. JETP

A. Perelomov, V. Popov, and M. Terent’ev, Sov. Phys. JETP 23, 924 (1966).

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Figures (3)

Fig. 1
Fig. 1

Beam radius versus z 5 m for C = 0 (dashed–dotted curve), C = 1.02 (dotted curve), and C = 1.02 (solid curve).

Fig. 2
Fig. 2

(a), (c) Pulse radii and enlarged portions and (b), (d) peak intensities and related electron densities for C = 0 (dashed–dotted curve), C = 20 (dotted curve), C = 20 (solid curve), P in P cr = 5 , and T 0 = 100 fs ( Δ z c z c 5 % ) .

Fig. 3
Fig. 3

(a) FWHM temporal width for E in = 1.9 mJ and C = 3 . Filled circles denote the z distances at which the pulse duration was calculated. Bottom, temporal profiles for E in = 1.3 mJ (dashed–dotted curve), E in = 1.9 mJ and C = 3 (dotted curve), and E in = 2.5 mJ (solid curve) at (b) z z c (19.5, 12, 10 m , respectively) and (c) z = 105 m .

Tables (2)

Tables Icon

Table 1 Position of the Last Compression Point

Tables Icon

Table 2 FWHM Temporal Width for Three Energy Values

Equations (2)

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

E z = i 2 k 0 2 E + i k 0 n 2 2 { E 2 + 1 τ k t exp [ ( t t ) τ k ] E ( t ) 2 d t } E i k 2 2 E t 2 ( i k 0 2 ρ c + σ 2 ) ρ E W ( E ) 2 ρ at U i E E 2 ,
t ρ = W ( E ) ρ at + σ U i ρ E 2 .

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