Abstract

The influence of normal group-velocity dispersion on the self-focusing of light pulses is numerically studied. Temporal splitting of the field envelope is observed when the critical power is exceeded along with diffraction of the spatially sharpened central part of the pulse. Dispersion increases considerably the self-focusing threshold for short pulse durations.

© 1992 Optical Society of America

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References

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  1. J. H. Marburger, Prog. Quantum Electron. 4, 35 (1975).
    [Crossref]
  2. Y. Silberberg, Opt. Lett. 15, 1282 (1990).
    [Crossref] [PubMed]
  3. V. Petrov, W. Rudolph, B. Wilhelmi, J. Mod. Opt. 36, 587 (1989).
    [Crossref]
  4. W. Rudolph, B. Wilhelmi, Light Pulse Compression (Harwood, Chur, Switzerland, 1989).
  5. P. Chernev, V. Petrov, “Numerical simulation of nonlinear pulse propagation in the self-focusing limit,” submitted to Appl. Opt.
  6. C. Rolland, P. B. Corkum, J. Opt. Soc. Am. B 5, 641 (1988).
    [Crossref]

1990 (1)

1989 (1)

V. Petrov, W. Rudolph, B. Wilhelmi, J. Mod. Opt. 36, 587 (1989).
[Crossref]

1988 (1)

1975 (1)

J. H. Marburger, Prog. Quantum Electron. 4, 35 (1975).
[Crossref]

Chernev, P.

P. Chernev, V. Petrov, “Numerical simulation of nonlinear pulse propagation in the self-focusing limit,” submitted to Appl. Opt.

Corkum, P. B.

Marburger, J. H.

J. H. Marburger, Prog. Quantum Electron. 4, 35 (1975).
[Crossref]

Petrov, V.

V. Petrov, W. Rudolph, B. Wilhelmi, J. Mod. Opt. 36, 587 (1989).
[Crossref]

P. Chernev, V. Petrov, “Numerical simulation of nonlinear pulse propagation in the self-focusing limit,” submitted to Appl. Opt.

Rolland, C.

Rudolph, W.

V. Petrov, W. Rudolph, B. Wilhelmi, J. Mod. Opt. 36, 587 (1989).
[Crossref]

W. Rudolph, B. Wilhelmi, Light Pulse Compression (Harwood, Chur, Switzerland, 1989).

Silberberg, Y.

Wilhelmi, B.

V. Petrov, W. Rudolph, B. Wilhelmi, J. Mod. Opt. 36, 587 (1989).
[Crossref]

W. Rudolph, B. Wilhelmi, Light Pulse Compression (Harwood, Chur, Switzerland, 1989).

J. Mod. Opt. (1)

V. Petrov, W. Rudolph, B. Wilhelmi, J. Mod. Opt. 36, 587 (1989).
[Crossref]

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

Opt. Lett. (1)

Prog. Quantum Electron. (1)

J. H. Marburger, Prog. Quantum Electron. 4, 35 (1975).
[Crossref]

Other (2)

W. Rudolph, B. Wilhelmi, Light Pulse Compression (Harwood, Chur, Switzerland, 1989).

P. Chernev, V. Petrov, “Numerical simulation of nonlinear pulse propagation in the self-focusing limit,” submitted to Appl. Opt.

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Figures (4)

Fig. 1
Fig. 1

Normalized central amplitude |u| versus ζ for six values of the critical parameter: p = 1.054 (curve I), p = 1.15 (curve II), p = 1.245 (curve III), p = 1.341 (curve IV), p = 1.437 (curve V), and p = 1.533 (curve VI). The corresponding values of ζSF are 3.96, 2.25, 1.68, 1.37, 1.17, and 1.03, respectively.

Fig. 2
Fig. 2

Temporal and radial dependence of |u| at ζ = 4 for the case of curve V from Fig. 1.

Fig. 3
Fig. 3

Evolution of the temporal field amplitude dependence with propagation distance ζ at ρ = 0. (a), (b), and (c) give the cases of curves I, IV, and V from Fig. 1, respectively.

Fig. 4
Fig. 4

Evolution of the radial field amplitude dependence with the propagation distance ζ at η = 0. (a), (b), and (c) give the cases of curves I, IV, and V from Fig. 1, respectively.

Equations (6)

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( 2 / ρ 2 + ρ 1 / ρ 4 i / ζ 2 α 2 / η 2 ) u + 4 β | u | 2 u = 0 ,
u ( ζ = 0 ) = exp ( η 2 ρ 2 ) .
α = L DF / L DS , β = L DF / L NL .
p ( ζ ) = p ( 0 ) [ 1 + ( 2 ζ α ) 2 ] 1 / 2 ,
ζ c = ( p 2 1 ) 1 / 2 / 2 α
α 0 . 27 p 3 / 2 .

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