Abstract

Carefully dispersion- and nonlinearity-managed cascades of gas-filled hollow-core fibers enable, as our theoretical analysis shows, efficient pulse compression with ultrahigh compression ratios. With dispersion and nonlinearity of individual fibers in such cascades optimized toward distinctly different goal functions, millijoule picosecond laser pulses can be compressed to sub-100-GW subcycle field waveforms.

© 2013 Optical Society of America

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References

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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
  17. A. M. Zheltikov, A. A. Voronin, R. Kienberger, F. Krausz, and G. Korn, Phys. Rev. Lett. 105, 103901 (2010).
    [CrossRef]
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    [CrossRef]
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2012 (1)

M. Hassan, A. Wirth, I. Grguras, A. Moulet, T. Luu, J. Gagnon, V. Pervak, and E. Goulielmakis, Rev. Sci. Instrum. 83, 111301 (2012).
[CrossRef]

2011 (3)

A. Wirth, M. T. Hassan, I. Grguraš, J. Gagnon, A. Moulet, T. T. Luu, S. Pabst, R. Santra, Z. A. Alahmed, A. M. Azzeer, V. S. Yakovlev, V. Pervak, F. Krausz, and E. Goulielmakis, Science 334, 195 (2011).
[CrossRef]

G. Andriukaitis, D. Kartashov, D. Lorenc, A. Pugžlys, A. Baltuška, L. Giniūnas, R. Danielius, J. Limpert, T. Clausnitzer, E.-B. Kley, A. Voronin, and A. Zheltikov, Opt. Lett. 36, 1914 (2011).
[CrossRef]

T. Nagy, V. Pervak, and P. Simon, Opt. Lett. 36, 4422 (2011).
[CrossRef]

2010 (3)

2009 (2)

2007 (3)

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]

S. V. Marchese, C. R. E. Baer, R. Peters, C. Kränkel, A. G. Engqvist, M. Golling, D. J. H. C. Maas, K. Petermann, T. Südmeyer, G. Huber, and U. Keller, Opt. Express 15, 16966 (2007).
[CrossRef]

2003 (1)

2002 (3)

M. Nisoli, G. Sansone, S. Stagira, C. Vozzi, S. De Silvestri, and O. Svelto, Appl. Phys. B 75, 601 (2002).
[CrossRef]

N. Zhavoronkov and G. Korn, Phys. Rev. Lett. 88, 203901 (2002).
[CrossRef]

A. M. Zheltikov, Phys. Usp. 45, 687 (2002).
[CrossRef]

1997 (1)

1996 (1)

M. Nisoli, S. De Silvestri, and O. Svelto, Appl. Phys. Lett. 68, 2793 (1996).
[CrossRef]

1985 (1)

H. J. Lehmeier, W. Leupacher, and A. Penzkofer, Opt. Commun. 56, 67 (1985).
[CrossRef]

1984 (1)

1982 (1)

D. Grischkowsky and A. C. Balant, Appl. Phys. Lett. 41, 1 (1982).
[CrossRef]

1964 (1)

L. V. Keldysh, Zh. Eksp. Teor. Fiz. 47, 1945 (1964).

Agrawal, G. P.

G. P. Agrawal, Nonlinear Fiber Optics (Academic, 2001).

Alahmed, Z. A.

A. Wirth, M. T. Hassan, I. Grguraš, J. Gagnon, A. Moulet, T. T. Luu, S. Pabst, R. Santra, Z. A. Alahmed, A. M. Azzeer, V. S. Yakovlev, V. Pervak, F. Krausz, and E. Goulielmakis, Science 334, 195 (2011).
[CrossRef]

Andriukaitis, G.

Azzeer, A. M.

A. Wirth, M. T. Hassan, I. Grguraš, J. Gagnon, A. Moulet, T. T. Luu, S. Pabst, R. Santra, Z. A. Alahmed, A. M. Azzeer, V. S. Yakovlev, V. Pervak, F. Krausz, and E. Goulielmakis, Science 334, 195 (2011).
[CrossRef]

Baer, C. R. E.

Balant, A. C.

D. Grischkowsky and A. C. Balant, Appl. Phys. Lett. 41, 1 (1982).
[CrossRef]

Baltuška, A.

Bergé, L.

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

Biegert, J.

Bohman, S.

Borot, A.

Canova, L.

Chen, X.

Clausnitzer, T.

Couairon, A.

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

Danielius, R.

De Silvestri, S.

Diels, J.-C.

J.-C. Diels and W. Rudolph, Ultrashort Laser Pulse Phenomena (Elsevier, 2006).

Durfee, C. G.

Engqvist, A. G.

Ferencz, K.

Gagnon, J.

M. Hassan, A. Wirth, I. Grguras, A. Moulet, T. Luu, J. Gagnon, V. Pervak, and E. Goulielmakis, Rev. Sci. Instrum. 83, 111301 (2012).
[CrossRef]

A. Wirth, M. T. Hassan, I. Grguraš, J. Gagnon, A. Moulet, T. T. Luu, S. Pabst, R. Santra, Z. A. Alahmed, A. M. Azzeer, V. S. Yakovlev, V. Pervak, F. Krausz, and E. Goulielmakis, Science 334, 195 (2011).
[CrossRef]

Giniunas, L.

Golling, M.

Gordienko, V. M.

Goulielmakis, E.

M. Hassan, A. Wirth, I. Grguras, A. Moulet, T. Luu, J. Gagnon, V. Pervak, and E. Goulielmakis, Rev. Sci. Instrum. 83, 111301 (2012).
[CrossRef]

A. Wirth, M. T. Hassan, I. Grguraš, J. Gagnon, A. Moulet, T. T. Luu, S. Pabst, R. Santra, Z. A. Alahmed, A. M. Azzeer, V. S. Yakovlev, V. Pervak, F. Krausz, and E. Goulielmakis, Science 334, 195 (2011).
[CrossRef]

Grguras, I.

M. Hassan, A. Wirth, I. Grguras, A. Moulet, T. Luu, J. Gagnon, V. Pervak, and E. Goulielmakis, Rev. Sci. Instrum. 83, 111301 (2012).
[CrossRef]

Grguraš, I.

A. Wirth, M. T. Hassan, I. Grguraš, J. Gagnon, A. Moulet, T. T. Luu, S. Pabst, R. Santra, Z. A. Alahmed, A. M. Azzeer, V. S. Yakovlev, V. Pervak, F. Krausz, and E. Goulielmakis, Science 334, 195 (2011).
[CrossRef]

Grischkowsky, D.

D. Grischkowsky and A. C. Balant, Appl. Phys. Lett. 41, 1 (1982).
[CrossRef]

Hassan, M.

M. Hassan, A. Wirth, I. Grguras, A. Moulet, T. Luu, J. Gagnon, V. Pervak, and E. Goulielmakis, Rev. Sci. Instrum. 83, 111301 (2012).
[CrossRef]

Hassan, M. T.

A. Wirth, M. T. Hassan, I. Grguraš, J. Gagnon, A. Moulet, T. T. Luu, S. Pabst, R. Santra, Z. A. Alahmed, A. M. Azzeer, V. S. Yakovlev, V. Pervak, F. Krausz, and E. Goulielmakis, Science 334, 195 (2011).
[CrossRef]

Huber, G.

Jullien, A.

Kanai, T.

Kartashov, D.

Kasparian, J.

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

Keldysh, L. V.

L. V. Keldysh, Zh. Eksp. Teor. Fiz. 47, 1945 (1964).

Keller, U.

Kienberger, R.

A. M. Zheltikov, A. A. Voronin, R. Kienberger, F. Krausz, and G. Korn, Phys. Rev. Lett. 105, 103901 (2010).
[CrossRef]

T. Metzger, A. Schwarz, C. Y. Teisset, D. Sutter, A. Killi, R. Kienberger, and F. Krausz, Opt. Lett. 34, 2123 (2009).
[CrossRef]

Killi, A.

Kley, E.-B.

Korn, G.

A. M. Zheltikov, A. A. Voronin, R. Kienberger, F. Krausz, and G. Korn, Phys. Rev. Lett. 105, 103901 (2010).
[CrossRef]

N. Zhavoronkov and G. Korn, Phys. Rev. Lett. 88, 203901 (2002).
[CrossRef]

Kränkel, C.

Krausz, F.

A. Wirth, M. T. Hassan, I. Grguraš, J. Gagnon, A. Moulet, T. T. Luu, S. Pabst, R. Santra, Z. A. Alahmed, A. M. Azzeer, V. S. Yakovlev, V. Pervak, F. Krausz, and E. Goulielmakis, Science 334, 195 (2011).
[CrossRef]

A. M. Zheltikov, A. A. Voronin, R. Kienberger, F. Krausz, and G. Korn, Phys. Rev. Lett. 105, 103901 (2010).
[CrossRef]

T. Metzger, A. Schwarz, C. Y. Teisset, D. Sutter, A. Killi, R. Kienberger, and F. Krausz, Opt. Lett. 34, 2123 (2009).
[CrossRef]

M. Nisoli, S. De Silvestri, O. Svelto, R. Szipöcs, K. Ferencz, C. Spielmann, S. Sartania, and F. Krausz, Opt. Lett. 22, 522 (1997).
[CrossRef]

Lehmeier, H. J.

H. J. Lehmeier, W. Leupacher, and A. Penzkofer, Opt. Commun. 56, 67 (1985).
[CrossRef]

Leupacher, W.

H. J. Lehmeier, W. Leupacher, and A. Penzkofer, Opt. Commun. 56, 67 (1985).
[CrossRef]

Limpert, J.

Lopez-Martens, R.

Lorenc, D.

Luu, T.

M. Hassan, A. Wirth, I. Grguras, A. Moulet, T. Luu, J. Gagnon, V. Pervak, and E. Goulielmakis, Rev. Sci. Instrum. 83, 111301 (2012).
[CrossRef]

Luu, T. T.

A. Wirth, M. T. Hassan, I. Grguraš, J. Gagnon, A. Moulet, T. T. Luu, S. Pabst, R. Santra, Z. A. Alahmed, A. M. Azzeer, V. S. Yakovlev, V. Pervak, F. Krausz, and E. Goulielmakis, Science 334, 195 (2011).
[CrossRef]

Maas, D. J. H. C.

Malvache, A.

Marchese, S. V.

Metzger, T.

Midorikawa, K.

Moulet, A.

M. Hassan, A. Wirth, I. Grguras, A. Moulet, T. Luu, J. Gagnon, V. Pervak, and E. Goulielmakis, Rev. Sci. Instrum. 83, 111301 (2012).
[CrossRef]

A. Wirth, M. T. Hassan, I. Grguraš, J. Gagnon, A. Moulet, T. T. Luu, S. Pabst, R. Santra, Z. A. Alahmed, A. M. Azzeer, V. S. Yakovlev, V. Pervak, F. Krausz, and E. Goulielmakis, Science 334, 195 (2011).
[CrossRef]

Mysyrowicz, A.

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

Nagy, T.

Nisoli, M.

Nuter, R.

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

Pabst, S.

A. Wirth, M. T. Hassan, I. Grguraš, J. Gagnon, A. Moulet, T. T. Luu, S. Pabst, R. Santra, Z. A. Alahmed, A. M. Azzeer, V. S. Yakovlev, V. Pervak, F. Krausz, and E. Goulielmakis, Science 334, 195 (2011).
[CrossRef]

Panchenko, V. Ya.

Penzkofer, A.

H. J. Lehmeier, W. Leupacher, and A. Penzkofer, Opt. Commun. 56, 67 (1985).
[CrossRef]

Pervak, V.

M. Hassan, A. Wirth, I. Grguras, A. Moulet, T. Luu, J. Gagnon, V. Pervak, and E. Goulielmakis, Rev. Sci. Instrum. 83, 111301 (2012).
[CrossRef]

A. Wirth, M. T. Hassan, I. Grguraš, J. Gagnon, A. Moulet, T. T. Luu, S. Pabst, R. Santra, Z. A. Alahmed, A. M. Azzeer, V. S. Yakovlev, V. Pervak, F. Krausz, and E. Goulielmakis, Science 334, 195 (2011).
[CrossRef]

T. Nagy, V. Pervak, and P. Simon, Opt. Lett. 36, 4422 (2011).
[CrossRef]

Petermann, K.

Peters, R.

Platonenko, V. T.

Pugžlys, A.

Rudolph, W.

J.-C. Diels and W. Rudolph, Ultrashort Laser Pulse Phenomena (Elsevier, 2006).

Sansone, G.

B. Schenkel, J. Biegert, U. Keller, C. Vozzi, M. Nisoli, G. Sansone, S. Stagira, S. De Silvestri, and O. Svelto, Opt. Lett. 28, 1987 (2003).
[CrossRef]

M. Nisoli, G. Sansone, S. Stagira, C. Vozzi, S. De Silvestri, and O. Svelto, Appl. Phys. B 75, 601 (2002).
[CrossRef]

Santra, R.

A. Wirth, M. T. Hassan, I. Grguraš, J. Gagnon, A. Moulet, T. T. Luu, S. Pabst, R. Santra, Z. A. Alahmed, A. M. Azzeer, V. S. Yakovlev, V. Pervak, F. Krausz, and E. Goulielmakis, Science 334, 195 (2011).
[CrossRef]

Sartania, S.

Schenkel, B.

Schwarz, A.

Shank, C. V.

Simon, P.

Skupin, S.

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

Spielmann, C.

Stagira, S.

B. Schenkel, J. Biegert, U. Keller, C. Vozzi, M. Nisoli, G. Sansone, S. Stagira, S. De Silvestri, and O. Svelto, Opt. Lett. 28, 1987 (2003).
[CrossRef]

M. Nisoli, G. Sansone, S. Stagira, C. Vozzi, S. De Silvestri, and O. Svelto, Appl. Phys. B 75, 601 (2002).
[CrossRef]

Stolen, R. H.

Suda, A.

Südmeyer, T.

Sutter, D.

Svelto, O.

Szipöcs, R.

Teisset, C. Y.

Tomlinson, W. J.

Trisorio, A.

Voronin, A.

Voronin, A. A.

A. M. Zheltikov, A. A. Voronin, R. Kienberger, F. Krausz, and G. Korn, Phys. Rev. Lett. 105, 103901 (2010).
[CrossRef]

A. A. Voronin, V. M. Gordienko, V. T. Platonenko, V. Ya. Panchenko, and A. M. Zheltikov, Opt. Lett. 35, 3640 (2010).
[CrossRef]

Vozzi, C.

B. Schenkel, J. Biegert, U. Keller, C. Vozzi, M. Nisoli, G. Sansone, S. Stagira, S. De Silvestri, and O. Svelto, Opt. Lett. 28, 1987 (2003).
[CrossRef]

M. Nisoli, G. Sansone, S. Stagira, C. Vozzi, S. De Silvestri, and O. Svelto, Appl. Phys. B 75, 601 (2002).
[CrossRef]

Weber, M. J.

M. J. Weber, Handbook of Optical Materials (CRC Press, 2003).

Wirth, A.

M. Hassan, A. Wirth, I. Grguras, A. Moulet, T. Luu, J. Gagnon, V. Pervak, and E. Goulielmakis, Rev. Sci. Instrum. 83, 111301 (2012).
[CrossRef]

A. Wirth, M. T. Hassan, I. Grguraš, J. Gagnon, A. Moulet, T. T. Luu, S. Pabst, R. Santra, Z. A. Alahmed, A. M. Azzeer, V. S. Yakovlev, V. Pervak, F. Krausz, and E. Goulielmakis, Science 334, 195 (2011).
[CrossRef]

Wolf, J.-P.

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

Yakovlev, V. S.

A. Wirth, M. T. Hassan, I. Grguraš, J. Gagnon, A. Moulet, T. T. Luu, S. Pabst, R. Santra, Z. A. Alahmed, A. M. Azzeer, V. S. Yakovlev, V. Pervak, F. Krausz, and E. Goulielmakis, Science 334, 195 (2011).
[CrossRef]

Yamaguchi, S.

Zhavoronkov, N.

N. Zhavoronkov and G. Korn, Phys. Rev. Lett. 88, 203901 (2002).
[CrossRef]

Zheltikov, A.

Zheltikov, A. M.

A. A. Voronin, V. M. Gordienko, V. T. Platonenko, V. Ya. Panchenko, and A. M. Zheltikov, Opt. Lett. 35, 3640 (2010).
[CrossRef]

A. M. Zheltikov, A. A. Voronin, R. Kienberger, F. Krausz, and G. Korn, Phys. Rev. Lett. 105, 103901 (2010).
[CrossRef]

A. M. Zheltikov, Phys. Usp. 45, 687 (2002).
[CrossRef]

Appl. Phys. B (1)

M. Nisoli, G. Sansone, S. Stagira, C. Vozzi, S. De Silvestri, and O. Svelto, Appl. Phys. B 75, 601 (2002).
[CrossRef]

Appl. Phys. Lett. (2)

M. Nisoli, S. De Silvestri, and O. Svelto, Appl. Phys. Lett. 68, 2793 (1996).
[CrossRef]

D. Grischkowsky and A. C. Balant, Appl. Phys. Lett. 41, 1 (1982).
[CrossRef]

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

Opt. Commun. (1)

H. J. Lehmeier, W. Leupacher, and A. Penzkofer, Opt. Commun. 56, 67 (1985).
[CrossRef]

Opt. Express (1)

Opt. Lett. (8)

Phys. Rep. (1)

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

Phys. Rev. Lett. (2)

A. M. Zheltikov, A. A. Voronin, R. Kienberger, F. Krausz, and G. Korn, Phys. Rev. Lett. 105, 103901 (2010).
[CrossRef]

N. Zhavoronkov and G. Korn, Phys. Rev. Lett. 88, 203901 (2002).
[CrossRef]

Phys. Usp. (1)

A. M. Zheltikov, Phys. Usp. 45, 687 (2002).
[CrossRef]

Rep. Prog. Phys. (1)

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

Rev. Sci. Instrum. (1)

M. Hassan, A. Wirth, I. Grguras, A. Moulet, T. Luu, J. Gagnon, V. Pervak, and E. Goulielmakis, Rev. Sci. Instrum. 83, 111301 (2012).
[CrossRef]

Science (1)

A. Wirth, M. T. Hassan, I. Grguraš, J. Gagnon, A. Moulet, T. T. Luu, S. Pabst, R. Santra, Z. A. Alahmed, A. M. Azzeer, V. S. Yakovlev, V. Pervak, F. Krausz, and E. Goulielmakis, Science 334, 195 (2011).
[CrossRef]

Zh. Eksp. Teor. Fiz. (1)

L. V. Keldysh, Zh. Eksp. Teor. Fiz. 47, 1945 (1964).

Other (3)

M. J. Weber, Handbook of Optical Materials (CRC Press, 2003).

G. P. Agrawal, Nonlinear Fiber Optics (Academic, 2001).

J.-C. Diels and W. Rudolph, Ultrashort Laser Pulse Phenomena (Elsevier, 2006).

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Figures (4)

Fig. 1.
Fig. 1.

Pulse compression with cascaded gas-filled hollow fibers.

Fig. 2.
Fig. 2.

Pulse compression with a cascade of two gas-filled hollow fibers consisting of a first fiber with d=285μm and L=200cm filled with xenon at p=1 bar and a second fiber with d=360μm and L=300cm filled with argon at p=1.35 bar: (a), (b) spectra at the input (dashed line) and output (solid line) of (a) first and (b) second fiber with a dispersion profile as shown by the dashed–dotted lines. The output spectral phase is shown by the dotted line. (c), (d) Envelope (solid line) and phase (dashed–dotted line) of the output of (c) first and (d) second fiber compressed through a compensation of the linear chirp only, the phase of the fiber output (dotted line, upper time scale), and the transform-limited pulse supported by the entire spectrum at the output of the nonlinear medium (dashed line). (e), (f) Spectrograms for the pulses at the output of (e) first and (f) second fibers.

Fig. 3.
Fig. 3.

Optimization scan for the second fiber in the cascade for an input laser pulse with a spectrum and temporal envelope as shown in Figs. 2(a) and 2(c): the LCC-compressed pulsewidth (filled circles), throughput (rectangles), pulse compression quality (asterisks), and optimal compression length (open circles) are shown as ordinate axes; the inner fiber diameter, the second-order fiber dispersion coefficient, and the on-axis fluence are given along the abscissa axis. The boundary of the fiber laser-damage threshold is shown by the vertical dashed line.

Fig. 4.
Fig. 4.

Pulse compression with a cascade of two gas-filled hollow fibers consisting of a first fiber with d=285μm and L=200cm filled with xenon at p=1 bar and a second fiber with d=240μm and L=125cm filled with argon at p=1.35 bar: (a) spectra at the input (dashed line) and output (solid line) of the second fiber with a dispersion profile as shown by the dashed–dotted line; the output spectral phase is shown by the dotted line. (b) Envelope (solid line) and phase (dashed–dotted line) of the output of the second fiber compressed through a compensation of the linear chirp only, the phase of the fiber output (dotted line, upper time scale), and the transform-limited pulse supported by the entire spectrum at the output of the nonlinear medium (dashed line).

Equations (1)

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zA(ω,z)=[iD^(ω)α(ω)]A(ω,z)+F^[in2cω0T^|A(η,z)|2A(η,z)iω02n0cρcT^ρA(η,z)(ρ0ρ)UiW2|A(η,z)|2A(η,z)σ(ω0)2ρA(η,z)].

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