Abstract

We investigate the evolution of optical pulses in a hollow waveguide filled with noble gas at pulse intensities for which tunnel ionization dominates the nonlinear response of the gas. A numerical analysis reveals that the spectral chirp generated by the plasma nonlinearity is to a good approximation linear over the whole pulse spectrum and can be compensated in a dispersive delay line. Our calculations predict the generation of 3–4-fs optical pulses with energies of a few milijoules. To our knowledge, these energies are an order of magnitude greater than the pulse energies that have been realized to date in hollow-fiber compressors based exclusively on the nonlinear Kerr effect.

© 1998 Optical Society of America

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  1. M. Nisoli, S. Stagira, S. De Silvestri, O. Svelto, S. Sartania, Z. Cheng, M. Lenzner, Ch. Spielmann, and F. Krausz, Appl. Phys. B 65, 189 (1997).
    [CrossRef]
  2. Ch. Spielmann, N. H. Burnett, S. Sartania, R. Koppitsch, M. Schnürer, C. Kan, M. Lenzner, P. Wobrauschek, and F. Krausz, Science 278, 661 (1997); Z. Chang, A. Rundquist, H. Wang, M. Murnane, and H. C. Kapteyn, Phys. Rev. Lett. 79, 2967 (1997).
    [CrossRef]
  3. P. B. Corkum, IEEE J. Quantum Electron. QE-21, 216 (1985).
    [CrossRef]
  4. G. Tempea and T. Brabec, Opt. Lett. 23, 762 (1998).
    [CrossRef]
  5. L. V. Keldysh, Sov. Phys. JETP 20, 1307 (1965).
  6. S. C. Rae and K. Burnett, Phys. Rev. A 46, 1084 (1992).
    [CrossRef] [PubMed]
  7. Wm. M. Wood, C. W. Siders, and M. C. Downer, Phys. Rev. Lett. 67, 3523 (1991).
    [CrossRef] [PubMed]
  8. A. Dalgarno and A. E. Kingston, Proc. Royal Soc. London Ser. A 259, 424 (1966).
    [CrossRef]

1998 (1)

1997 (2)

M. Nisoli, S. Stagira, S. De Silvestri, O. Svelto, S. Sartania, Z. Cheng, M. Lenzner, Ch. Spielmann, and F. Krausz, Appl. Phys. B 65, 189 (1997).
[CrossRef]

Ch. Spielmann, N. H. Burnett, S. Sartania, R. Koppitsch, M. Schnürer, C. Kan, M. Lenzner, P. Wobrauschek, and F. Krausz, Science 278, 661 (1997); Z. Chang, A. Rundquist, H. Wang, M. Murnane, and H. C. Kapteyn, Phys. Rev. Lett. 79, 2967 (1997).
[CrossRef]

1992 (1)

S. C. Rae and K. Burnett, Phys. Rev. A 46, 1084 (1992).
[CrossRef] [PubMed]

1991 (1)

Wm. M. Wood, C. W. Siders, and M. C. Downer, Phys. Rev. Lett. 67, 3523 (1991).
[CrossRef] [PubMed]

1985 (1)

P. B. Corkum, IEEE J. Quantum Electron. QE-21, 216 (1985).
[CrossRef]

1966 (1)

A. Dalgarno and A. E. Kingston, Proc. Royal Soc. London Ser. A 259, 424 (1966).
[CrossRef]

1965 (1)

L. V. Keldysh, Sov. Phys. JETP 20, 1307 (1965).

Brabec, T.

Burnett, K.

S. C. Rae and K. Burnett, Phys. Rev. A 46, 1084 (1992).
[CrossRef] [PubMed]

Burnett, N. H.

Ch. Spielmann, N. H. Burnett, S. Sartania, R. Koppitsch, M. Schnürer, C. Kan, M. Lenzner, P. Wobrauschek, and F. Krausz, Science 278, 661 (1997); Z. Chang, A. Rundquist, H. Wang, M. Murnane, and H. C. Kapteyn, Phys. Rev. Lett. 79, 2967 (1997).
[CrossRef]

Cheng, Z.

M. Nisoli, S. Stagira, S. De Silvestri, O. Svelto, S. Sartania, Z. Cheng, M. Lenzner, Ch. Spielmann, and F. Krausz, Appl. Phys. B 65, 189 (1997).
[CrossRef]

Corkum, P. B.

P. B. Corkum, IEEE J. Quantum Electron. QE-21, 216 (1985).
[CrossRef]

Dalgarno, A.

A. Dalgarno and A. E. Kingston, Proc. Royal Soc. London Ser. A 259, 424 (1966).
[CrossRef]

De Silvestri, S.

M. Nisoli, S. Stagira, S. De Silvestri, O. Svelto, S. Sartania, Z. Cheng, M. Lenzner, Ch. Spielmann, and F. Krausz, Appl. Phys. B 65, 189 (1997).
[CrossRef]

Downer, M. C.

Wm. M. Wood, C. W. Siders, and M. C. Downer, Phys. Rev. Lett. 67, 3523 (1991).
[CrossRef] [PubMed]

Kan, C.

Ch. Spielmann, N. H. Burnett, S. Sartania, R. Koppitsch, M. Schnürer, C. Kan, M. Lenzner, P. Wobrauschek, and F. Krausz, Science 278, 661 (1997); Z. Chang, A. Rundquist, H. Wang, M. Murnane, and H. C. Kapteyn, Phys. Rev. Lett. 79, 2967 (1997).
[CrossRef]

Keldysh, L. V.

L. V. Keldysh, Sov. Phys. JETP 20, 1307 (1965).

Kingston, A. E.

A. Dalgarno and A. E. Kingston, Proc. Royal Soc. London Ser. A 259, 424 (1966).
[CrossRef]

Koppitsch, R.

Ch. Spielmann, N. H. Burnett, S. Sartania, R. Koppitsch, M. Schnürer, C. Kan, M. Lenzner, P. Wobrauschek, and F. Krausz, Science 278, 661 (1997); Z. Chang, A. Rundquist, H. Wang, M. Murnane, and H. C. Kapteyn, Phys. Rev. Lett. 79, 2967 (1997).
[CrossRef]

Krausz, F.

Ch. Spielmann, N. H. Burnett, S. Sartania, R. Koppitsch, M. Schnürer, C. Kan, M. Lenzner, P. Wobrauschek, and F. Krausz, Science 278, 661 (1997); Z. Chang, A. Rundquist, H. Wang, M. Murnane, and H. C. Kapteyn, Phys. Rev. Lett. 79, 2967 (1997).
[CrossRef]

M. Nisoli, S. Stagira, S. De Silvestri, O. Svelto, S. Sartania, Z. Cheng, M. Lenzner, Ch. Spielmann, and F. Krausz, Appl. Phys. B 65, 189 (1997).
[CrossRef]

Lenzner, M.

M. Nisoli, S. Stagira, S. De Silvestri, O. Svelto, S. Sartania, Z. Cheng, M. Lenzner, Ch. Spielmann, and F. Krausz, Appl. Phys. B 65, 189 (1997).
[CrossRef]

Ch. Spielmann, N. H. Burnett, S. Sartania, R. Koppitsch, M. Schnürer, C. Kan, M. Lenzner, P. Wobrauschek, and F. Krausz, Science 278, 661 (1997); Z. Chang, A. Rundquist, H. Wang, M. Murnane, and H. C. Kapteyn, Phys. Rev. Lett. 79, 2967 (1997).
[CrossRef]

Nisoli, M.

M. Nisoli, S. Stagira, S. De Silvestri, O. Svelto, S. Sartania, Z. Cheng, M. Lenzner, Ch. Spielmann, and F. Krausz, Appl. Phys. B 65, 189 (1997).
[CrossRef]

Rae, S. C.

S. C. Rae and K. Burnett, Phys. Rev. A 46, 1084 (1992).
[CrossRef] [PubMed]

Sartania, S.

Ch. Spielmann, N. H. Burnett, S. Sartania, R. Koppitsch, M. Schnürer, C. Kan, M. Lenzner, P. Wobrauschek, and F. Krausz, Science 278, 661 (1997); Z. Chang, A. Rundquist, H. Wang, M. Murnane, and H. C. Kapteyn, Phys. Rev. Lett. 79, 2967 (1997).
[CrossRef]

M. Nisoli, S. Stagira, S. De Silvestri, O. Svelto, S. Sartania, Z. Cheng, M. Lenzner, Ch. Spielmann, and F. Krausz, Appl. Phys. B 65, 189 (1997).
[CrossRef]

Schnürer, M.

Ch. Spielmann, N. H. Burnett, S. Sartania, R. Koppitsch, M. Schnürer, C. Kan, M. Lenzner, P. Wobrauschek, and F. Krausz, Science 278, 661 (1997); Z. Chang, A. Rundquist, H. Wang, M. Murnane, and H. C. Kapteyn, Phys. Rev. Lett. 79, 2967 (1997).
[CrossRef]

Siders, C. W.

Wm. M. Wood, C. W. Siders, and M. C. Downer, Phys. Rev. Lett. 67, 3523 (1991).
[CrossRef] [PubMed]

Spielmann, Ch.

M. Nisoli, S. Stagira, S. De Silvestri, O. Svelto, S. Sartania, Z. Cheng, M. Lenzner, Ch. Spielmann, and F. Krausz, Appl. Phys. B 65, 189 (1997).
[CrossRef]

Ch. Spielmann, N. H. Burnett, S. Sartania, R. Koppitsch, M. Schnürer, C. Kan, M. Lenzner, P. Wobrauschek, and F. Krausz, Science 278, 661 (1997); Z. Chang, A. Rundquist, H. Wang, M. Murnane, and H. C. Kapteyn, Phys. Rev. Lett. 79, 2967 (1997).
[CrossRef]

Stagira, S.

M. Nisoli, S. Stagira, S. De Silvestri, O. Svelto, S. Sartania, Z. Cheng, M. Lenzner, Ch. Spielmann, and F. Krausz, Appl. Phys. B 65, 189 (1997).
[CrossRef]

Svelto, O.

M. Nisoli, S. Stagira, S. De Silvestri, O. Svelto, S. Sartania, Z. Cheng, M. Lenzner, Ch. Spielmann, and F. Krausz, Appl. Phys. B 65, 189 (1997).
[CrossRef]

Tempea, G.

Wobrauschek, P.

Ch. Spielmann, N. H. Burnett, S. Sartania, R. Koppitsch, M. Schnürer, C. Kan, M. Lenzner, P. Wobrauschek, and F. Krausz, Science 278, 661 (1997); Z. Chang, A. Rundquist, H. Wang, M. Murnane, and H. C. Kapteyn, Phys. Rev. Lett. 79, 2967 (1997).
[CrossRef]

Wood, Wm. M.

Wm. M. Wood, C. W. Siders, and M. C. Downer, Phys. Rev. Lett. 67, 3523 (1991).
[CrossRef] [PubMed]

Appl. Phys. B (1)

M. Nisoli, S. Stagira, S. De Silvestri, O. Svelto, S. Sartania, Z. Cheng, M. Lenzner, Ch. Spielmann, and F. Krausz, Appl. Phys. B 65, 189 (1997).
[CrossRef]

IEEE J. Quantum Electron. (1)

P. B. Corkum, IEEE J. Quantum Electron. QE-21, 216 (1985).
[CrossRef]

Opt. Lett. (1)

Phys. Rev. A (1)

S. C. Rae and K. Burnett, Phys. Rev. A 46, 1084 (1992).
[CrossRef] [PubMed]

Phys. Rev. Lett. (1)

Wm. M. Wood, C. W. Siders, and M. C. Downer, Phys. Rev. Lett. 67, 3523 (1991).
[CrossRef] [PubMed]

Proc. Royal Soc. London Ser. A (1)

A. Dalgarno and A. E. Kingston, Proc. Royal Soc. London Ser. A 259, 424 (1966).
[CrossRef]

Science (1)

Ch. Spielmann, N. H. Burnett, S. Sartania, R. Koppitsch, M. Schnürer, C. Kan, M. Lenzner, P. Wobrauschek, and F. Krausz, Science 278, 661 (1997); Z. Chang, A. Rundquist, H. Wang, M. Murnane, and H. C. Kapteyn, Phys. Rev. Lett. 79, 2967 (1997).
[CrossRef]

Sov. Phys. JETP (1)

L. V. Keldysh, Sov. Phys. JETP 20, 1307 (1965).

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Figures (1)

Fig. 1
Fig. 1

(a) Intensity spectrum (solid curve) and spectral phase (dashed curve) after propagation in a hollow waveguide filled with ionizing gas. The dotted curve is a least-squares second-order fit of the phase. The inset shows the initial intensity spectrum. (b) Intensity of the compressed pulse. For the parameters see the text.

Equations (10)

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

××E-1c2t2-tdtn2r,t-tEt=4πc2t2Pnl,
t2Pnl=-ωp24πWEE-ρ0Ipc2ttWEE.
E=jpEjpz,r,φ,t=12jpVjpr,φAjpz,texpiβjp0z-iω0t+c.c.,
ξ-iLˆ1G1=-iTˆ-1d1G1+p=2dpGp×exp-iΔβp0ξ-lf1G1*-p=2fpG1*2Gp*expiΔβp0ξ,
ξ-iLˆp+Δβp1τGp=-iTˆ-1dpG1+lfpG1*×expiΔβp0ξ.
djpξ,τ=1N01Njp02πdφ0rdrVjprV01rWE01,
fjpξ,τ=N01ω0Njp02πdφ0rdrVjprV01rτWE01
Gpξ,τF0Δβp0dpτGτ+iγ2fpτN12Gτ×expiΔβp0ξ-1,
Δβ20=ρ0ρc1,
ρc=u22-u12mc24πa2e27a2×1012 cm-3

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