Abstract

We present numerical simulations of nonlinear pulse propagation in air whereby an initial pulse is formed, absorbed by plasma generation, and subsequently replenished by power from the trailing edge of the pulse. This process can occur more than once for high-power input pulses and produce the illusion of long-distance propagation of one self-guided pulse.

© 1998 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. A. Braun, G. Korn, X. Liu, D. Du, J. Squier, and G. Mourou, Opt. Lett. 20, 73 (1995).
    [CrossRef] [PubMed]
  2. X. M. Zhao, J. C. Diels, C. Y. Wang, and J. M. Elizondo, IEEE J. Quantum Electron. 31, 599 (1995).
    [CrossRef]
  3. X. M. Zhao, P. Rambo, and J. C. Diels, in Quantum Electronics and Lasers, Vol.??16 of 1995 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), p. 178.
  4. E. T. J. Nibbering, P. F. Curley, G. Grillon, B. S. Prade, M. A. Franco, F. Salin, and A. Mysyrowicz, Opt. Lett. 21, 62 (1996).
    [CrossRef] [PubMed]
  5. A. Brodeur, C. Y. Chien, F. A. Ilkov, S. L. Chin, O. G. Kosareva, and V. P. Kandidov, Opt. Lett. 22, 304 (1997).
    [CrossRef] [PubMed]
  6. X. Liu and A. Braun, in Quantum Electronics and Lasers, Vol.??9 of 1996 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1996), p. 71.
  7. M. D. Feit and J. A. Fleck, Appl. Phys. Lett. 24, 169 (1974).
    [CrossRef]
  8. Q. Feng, J. V. Moloney, A. C. Newell, E. M. Wright, K. Cook, P. K. Kennedy, D. X. Hammer, and C. R. Thompson, IEEE J. Quantum Electron. 33, 127 (1997).
    [CrossRef]
  9. E. T. J. Nibbering, G. Grillon, M. A. Franco, B. S. Prade, and A. Mysyrowicz, J. Opt. Soc. Am. B 14, 650 (1997); J-F. Ripoche, G. Grillon, B. S. Prade, M. A. Franco, E. Nibbering, R. Lange, and A. Mysyrowicz, Opt. Commun. 135, 310 (1997).
    [CrossRef]
  10. L. V. Keldysh, Sov. Phys. JETP 20, 1307 (1965).
  11. G. L. McAllister, J. H. Marburger, and L. G. DeShazer, Phys. Rev. Lett. 21, 1648 (1968).
    [CrossRef]
  12. N. A. Zharova, A. G. Litvak, T. A. Petrova, A. M. Sergeev, and A. D. Yunakovskii, Pis’ma Zh. Eksp. Teor. Fiz. 44, 12 (1986) [JETP Lett. 44, 13 (1986)]; P. Chernev and V. Petrov, Opt. Lett. 17, 172 (1992).
    [CrossRef]
  13. D. Strickland and P. B. Corkum, Proc. SPIE 1413, 54 (1991); J. E. Rothenberg, Opt. Lett. 17, 583 (1992); J. K. Ranka, R. W. Schirmer, and A. L. Gaeta, Phys. Rev. Lett. 77, 3783 (1996).
    [CrossRef] [PubMed]
  14. O. G. Kosareva, V P Kandidov, A. Brodeur, C. Y. Chien, and S. L. Chin, Opt. Lett. 22, 1332 (1997).
    [CrossRef]

1997

1996

1995

A. Braun, G. Korn, X. Liu, D. Du, J. Squier, and G. Mourou, Opt. Lett. 20, 73 (1995).
[CrossRef] [PubMed]

X. M. Zhao, J. C. Diels, C. Y. Wang, and J. M. Elizondo, IEEE J. Quantum Electron. 31, 599 (1995).
[CrossRef]

1991

D. Strickland and P. B. Corkum, Proc. SPIE 1413, 54 (1991); J. E. Rothenberg, Opt. Lett. 17, 583 (1992); J. K. Ranka, R. W. Schirmer, and A. L. Gaeta, Phys. Rev. Lett. 77, 3783 (1996).
[CrossRef] [PubMed]

1986

N. A. Zharova, A. G. Litvak, T. A. Petrova, A. M. Sergeev, and A. D. Yunakovskii, Pis’ma Zh. Eksp. Teor. Fiz. 44, 12 (1986) [JETP Lett. 44, 13 (1986)]; P. Chernev and V. Petrov, Opt. Lett. 17, 172 (1992).
[CrossRef]

1974

M. D. Feit and J. A. Fleck, Appl. Phys. Lett. 24, 169 (1974).
[CrossRef]

1968

G. L. McAllister, J. H. Marburger, and L. G. DeShazer, Phys. Rev. Lett. 21, 1648 (1968).
[CrossRef]

1965

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

Braun, A.

A. Braun, G. Korn, X. Liu, D. Du, J. Squier, and G. Mourou, Opt. Lett. 20, 73 (1995).
[CrossRef] [PubMed]

X. Liu and A. Braun, in Quantum Electronics and Lasers, Vol.??9 of 1996 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1996), p. 71.

Brodeur, A.

Chien, C. Y.

Chin, S. L.

Cook, K.

Q. Feng, J. V. Moloney, A. C. Newell, E. M. Wright, K. Cook, P. K. Kennedy, D. X. Hammer, and C. R. Thompson, IEEE J. Quantum Electron. 33, 127 (1997).
[CrossRef]

Corkum, P. B.

D. Strickland and P. B. Corkum, Proc. SPIE 1413, 54 (1991); J. E. Rothenberg, Opt. Lett. 17, 583 (1992); J. K. Ranka, R. W. Schirmer, and A. L. Gaeta, Phys. Rev. Lett. 77, 3783 (1996).
[CrossRef] [PubMed]

Curley, P. F.

DeShazer, L. G.

G. L. McAllister, J. H. Marburger, and L. G. DeShazer, Phys. Rev. Lett. 21, 1648 (1968).
[CrossRef]

Diels, J. C.

X. M. Zhao, J. C. Diels, C. Y. Wang, and J. M. Elizondo, IEEE J. Quantum Electron. 31, 599 (1995).
[CrossRef]

X. M. Zhao, P. Rambo, and J. C. Diels, in Quantum Electronics and Lasers, Vol.??16 of 1995 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), p. 178.

Du, D.

Elizondo, J. M.

X. M. Zhao, J. C. Diels, C. Y. Wang, and J. M. Elizondo, IEEE J. Quantum Electron. 31, 599 (1995).
[CrossRef]

Feit, M. D.

M. D. Feit and J. A. Fleck, Appl. Phys. Lett. 24, 169 (1974).
[CrossRef]

Feng, Q.

Q. Feng, J. V. Moloney, A. C. Newell, E. M. Wright, K. Cook, P. K. Kennedy, D. X. Hammer, and C. R. Thompson, IEEE J. Quantum Electron. 33, 127 (1997).
[CrossRef]

Fleck, J. A.

M. D. Feit and J. A. Fleck, Appl. Phys. Lett. 24, 169 (1974).
[CrossRef]

Franco, M. A.

Grillon, G.

Hammer, D. X.

Q. Feng, J. V. Moloney, A. C. Newell, E. M. Wright, K. Cook, P. K. Kennedy, D. X. Hammer, and C. R. Thompson, IEEE J. Quantum Electron. 33, 127 (1997).
[CrossRef]

Ilkov, F. A.

Kandidov, V P

Kandidov, V. P.

Keldysh, L. V.

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

Kennedy, P. K.

Q. Feng, J. V. Moloney, A. C. Newell, E. M. Wright, K. Cook, P. K. Kennedy, D. X. Hammer, and C. R. Thompson, IEEE J. Quantum Electron. 33, 127 (1997).
[CrossRef]

Korn, G.

Kosareva, O. G.

Litvak, A. G.

N. A. Zharova, A. G. Litvak, T. A. Petrova, A. M. Sergeev, and A. D. Yunakovskii, Pis’ma Zh. Eksp. Teor. Fiz. 44, 12 (1986) [JETP Lett. 44, 13 (1986)]; P. Chernev and V. Petrov, Opt. Lett. 17, 172 (1992).
[CrossRef]

Liu, X.

A. Braun, G. Korn, X. Liu, D. Du, J. Squier, and G. Mourou, Opt. Lett. 20, 73 (1995).
[CrossRef] [PubMed]

X. Liu and A. Braun, in Quantum Electronics and Lasers, Vol.??9 of 1996 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1996), p. 71.

Marburger, J. H.

G. L. McAllister, J. H. Marburger, and L. G. DeShazer, Phys. Rev. Lett. 21, 1648 (1968).
[CrossRef]

McAllister, G. L.

G. L. McAllister, J. H. Marburger, and L. G. DeShazer, Phys. Rev. Lett. 21, 1648 (1968).
[CrossRef]

Moloney, J. V.

Q. Feng, J. V. Moloney, A. C. Newell, E. M. Wright, K. Cook, P. K. Kennedy, D. X. Hammer, and C. R. Thompson, IEEE J. Quantum Electron. 33, 127 (1997).
[CrossRef]

Mourou, G.

Mysyrowicz, A.

Newell, A. C.

Q. Feng, J. V. Moloney, A. C. Newell, E. M. Wright, K. Cook, P. K. Kennedy, D. X. Hammer, and C. R. Thompson, IEEE J. Quantum Electron. 33, 127 (1997).
[CrossRef]

Nibbering, E. T. J.

Petrova, T. A.

N. A. Zharova, A. G. Litvak, T. A. Petrova, A. M. Sergeev, and A. D. Yunakovskii, Pis’ma Zh. Eksp. Teor. Fiz. 44, 12 (1986) [JETP Lett. 44, 13 (1986)]; P. Chernev and V. Petrov, Opt. Lett. 17, 172 (1992).
[CrossRef]

Prade, B. S.

Rambo, P.

X. M. Zhao, P. Rambo, and J. C. Diels, in Quantum Electronics and Lasers, Vol.??16 of 1995 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), p. 178.

Salin, F.

Sergeev, A. M.

N. A. Zharova, A. G. Litvak, T. A. Petrova, A. M. Sergeev, and A. D. Yunakovskii, Pis’ma Zh. Eksp. Teor. Fiz. 44, 12 (1986) [JETP Lett. 44, 13 (1986)]; P. Chernev and V. Petrov, Opt. Lett. 17, 172 (1992).
[CrossRef]

Squier, J.

Strickland, D.

D. Strickland and P. B. Corkum, Proc. SPIE 1413, 54 (1991); J. E. Rothenberg, Opt. Lett. 17, 583 (1992); J. K. Ranka, R. W. Schirmer, and A. L. Gaeta, Phys. Rev. Lett. 77, 3783 (1996).
[CrossRef] [PubMed]

Thompson, C. R.

Q. Feng, J. V. Moloney, A. C. Newell, E. M. Wright, K. Cook, P. K. Kennedy, D. X. Hammer, and C. R. Thompson, IEEE J. Quantum Electron. 33, 127 (1997).
[CrossRef]

Wang, C. Y.

X. M. Zhao, J. C. Diels, C. Y. Wang, and J. M. Elizondo, IEEE J. Quantum Electron. 31, 599 (1995).
[CrossRef]

Wright, E. M.

Q. Feng, J. V. Moloney, A. C. Newell, E. M. Wright, K. Cook, P. K. Kennedy, D. X. Hammer, and C. R. Thompson, IEEE J. Quantum Electron. 33, 127 (1997).
[CrossRef]

Yunakovskii, A. D.

N. A. Zharova, A. G. Litvak, T. A. Petrova, A. M. Sergeev, and A. D. Yunakovskii, Pis’ma Zh. Eksp. Teor. Fiz. 44, 12 (1986) [JETP Lett. 44, 13 (1986)]; P. Chernev and V. Petrov, Opt. Lett. 17, 172 (1992).
[CrossRef]

Zhao, X. M.

X. M. Zhao, J. C. Diels, C. Y. Wang, and J. M. Elizondo, IEEE J. Quantum Electron. 31, 599 (1995).
[CrossRef]

X. M. Zhao, P. Rambo, and J. C. Diels, in Quantum Electronics and Lasers, Vol.??16 of 1995 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), p. 178.

Zharova, N. A.

N. A. Zharova, A. G. Litvak, T. A. Petrova, A. M. Sergeev, and A. D. Yunakovskii, Pis’ma Zh. Eksp. Teor. Fiz. 44, 12 (1986) [JETP Lett. 44, 13 (1986)]; P. Chernev and V. Petrov, Opt. Lett. 17, 172 (1992).
[CrossRef]

Appl. Phys. Lett.

M. D. Feit and J. A. Fleck, Appl. Phys. Lett. 24, 169 (1974).
[CrossRef]

IEEE J. Quantum Electron.

Q. Feng, J. V. Moloney, A. C. Newell, E. M. Wright, K. Cook, P. K. Kennedy, D. X. Hammer, and C. R. Thompson, IEEE J. Quantum Electron. 33, 127 (1997).
[CrossRef]

X. M. Zhao, J. C. Diels, C. Y. Wang, and J. M. Elizondo, IEEE J. Quantum Electron. 31, 599 (1995).
[CrossRef]

J. Opt. Soc. Am. B

Opt. Lett.

Phys. Rev. Lett.

G. L. McAllister, J. H. Marburger, and L. G. DeShazer, Phys. Rev. Lett. 21, 1648 (1968).
[CrossRef]

Pis’ma Zh. Eksp. Teor. Fiz.

N. A. Zharova, A. G. Litvak, T. A. Petrova, A. M. Sergeev, and A. D. Yunakovskii, Pis’ma Zh. Eksp. Teor. Fiz. 44, 12 (1986) [JETP Lett. 44, 13 (1986)]; P. Chernev and V. Petrov, Opt. Lett. 17, 172 (1992).
[CrossRef]

Proc. SPIE

D. Strickland and P. B. Corkum, Proc. SPIE 1413, 54 (1991); J. E. Rothenberg, Opt. Lett. 17, 583 (1992); J. K. Ranka, R. W. Schirmer, and A. L. Gaeta, Phys. Rev. Lett. 77, 3783 (1996).
[CrossRef] [PubMed]

Sov. Phys. JETP

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

Other

X. M. Zhao, P. Rambo, and J. C. Diels, in Quantum Electronics and Lasers, Vol.??16 of 1995 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), p. 178.

X. Liu and A. Braun, in Quantum Electronics and Lasers, Vol.??9 of 1996 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1996), p. 71.

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (3)

Fig. 1
Fig. 1

Global maximum over time of the on-axis intensity as a function of propagation distance z for peak input powers of 5.5Pcr (dashed–dotted curve), 6.0Pcr (dashed curve), and 6.5Pcr (solid curve).

Fig. 2
Fig. 2

(a) On-axis normalized field amplitude E0, t, z as a function of time at z=0 (dotted curve), z=0.55 m (dashed curve), and z2=1.1 m (solid curve) and (b) the corresponding spectral intensities versus wavelength, which we obtained by taking the modulus squared of the Fourier transformed on-axis fields. Both plots are for peak input power 6.5Pcr.

Fig. 3
Fig. 3

Transverse normalized electric-field amplitude profiles for time slice t=70 fs, at which the trailing pulse forms for z=0, 55, 110  cm, for peak input power 6.5Pcr.

Equations (2)

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

Ez=i2k2r2+1rrE-ik22Et2-σ21+iωτ×ρE-βK2E2K-2E+ik01-fn2E2E+ik0fn2×-dtRt-tEt2E,
ρt=1nb2σEgρE2+βKE2KKω-aρ2.

Metrics