Abstract

We find that in a dispersion-managed fiber, in which the strength of the dispersion management is above some threshold, solitons can exist with normal average dispersion. When the normal average dispersion is below some limiting value there exist two soliton solutions with the same pulse duration and different pulse energies. When the normal average dispersion is above this limiting value, no soliton exists. Both higher-energy and lower-energy solitons are dynamically stable in the parameter range that we considered.

© 1998 Optical Society of America

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References

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  1. J. H. B. Nijhof, N. J. Doran, W. Forysiak, and F. M. Knox, Electron. Lett. 33, 1726 (1997).
    [Crossref]
  2. V. S. Grigoryan, T. Yu, E. A. Golovchenko, C. R. Menyuk, and A. N. Pilipetskii, Opt. Lett. 22, 1609 (1997).
    [Crossref]
  3. D. Anderson, Phys. Rev. A 27, 3135 (1983).
    [Crossref]
  4. I. R. Gabitov, E. G. Shapiro, and S. K. Turitsyn, Opt. Commun. 134, 317 (1997).
    [Crossref]
  5. M. Matsumoto and H. A. Haus, IEEE Photon. Technol. Lett. 9, 785 (1997).
    [Crossref]
  6. G. M. Carter, J. M. Jacob, C. R. Menyuk, E. A. Golovchenko, and A. N. Pilipetskii, Opt. Lett. 22, 513 (1997).
    [Crossref] [PubMed]
  7. S. K. Turitsyn, JETP Lett. 65, 845 (1997).
    [Crossref]
  8. Y. Kodama, S. Kumar, and A. Maruta, Opt. Lett. 22, 1689 (1997).
    [Crossref]

1997 (7)

I. R. Gabitov, E. G. Shapiro, and S. K. Turitsyn, Opt. Commun. 134, 317 (1997).
[Crossref]

M. Matsumoto and H. A. Haus, IEEE Photon. Technol. Lett. 9, 785 (1997).
[Crossref]

J. H. B. Nijhof, N. J. Doran, W. Forysiak, and F. M. Knox, Electron. Lett. 33, 1726 (1997).
[Crossref]

S. K. Turitsyn, JETP Lett. 65, 845 (1997).
[Crossref]

G. M. Carter, J. M. Jacob, C. R. Menyuk, E. A. Golovchenko, and A. N. Pilipetskii, Opt. Lett. 22, 513 (1997).
[Crossref] [PubMed]

V. S. Grigoryan, T. Yu, E. A. Golovchenko, C. R. Menyuk, and A. N. Pilipetskii, Opt. Lett. 22, 1609 (1997).
[Crossref]

Y. Kodama, S. Kumar, and A. Maruta, Opt. Lett. 22, 1689 (1997).
[Crossref]

1983 (1)

D. Anderson, Phys. Rev. A 27, 3135 (1983).
[Crossref]

Anderson, D.

D. Anderson, Phys. Rev. A 27, 3135 (1983).
[Crossref]

Carter, G. M.

Doran, N. J.

J. H. B. Nijhof, N. J. Doran, W. Forysiak, and F. M. Knox, Electron. Lett. 33, 1726 (1997).
[Crossref]

Forysiak, W.

J. H. B. Nijhof, N. J. Doran, W. Forysiak, and F. M. Knox, Electron. Lett. 33, 1726 (1997).
[Crossref]

Gabitov, I. R.

I. R. Gabitov, E. G. Shapiro, and S. K. Turitsyn, Opt. Commun. 134, 317 (1997).
[Crossref]

Golovchenko, E. A.

Grigoryan, V. S.

Haus, H. A.

M. Matsumoto and H. A. Haus, IEEE Photon. Technol. Lett. 9, 785 (1997).
[Crossref]

Jacob, J. M.

Knox, F. M.

J. H. B. Nijhof, N. J. Doran, W. Forysiak, and F. M. Knox, Electron. Lett. 33, 1726 (1997).
[Crossref]

Kodama, Y.

Kumar, S.

Maruta, A.

Matsumoto, M.

M. Matsumoto and H. A. Haus, IEEE Photon. Technol. Lett. 9, 785 (1997).
[Crossref]

Menyuk, C. R.

Nijhof, J. H. B.

J. H. B. Nijhof, N. J. Doran, W. Forysiak, and F. M. Knox, Electron. Lett. 33, 1726 (1997).
[Crossref]

Pilipetskii, A. N.

Shapiro, E. G.

I. R. Gabitov, E. G. Shapiro, and S. K. Turitsyn, Opt. Commun. 134, 317 (1997).
[Crossref]

Turitsyn, S. K.

I. R. Gabitov, E. G. Shapiro, and S. K. Turitsyn, Opt. Commun. 134, 317 (1997).
[Crossref]

S. K. Turitsyn, JETP Lett. 65, 845 (1997).
[Crossref]

Yu, T.

Electron. Lett. (1)

J. H. B. Nijhof, N. J. Doran, W. Forysiak, and F. M. Knox, Electron. Lett. 33, 1726 (1997).
[Crossref]

IEEE Photon. Technol. Lett. (1)

M. Matsumoto and H. A. Haus, IEEE Photon. Technol. Lett. 9, 785 (1997).
[Crossref]

JETP Lett. (1)

S. K. Turitsyn, JETP Lett. 65, 845 (1997).
[Crossref]

Opt. Commun. (1)

I. R. Gabitov, E. G. Shapiro, and S. K. Turitsyn, Opt. Commun. 134, 317 (1997).
[Crossref]

Opt. Lett. (3)

Phys. Rev. A (1)

D. Anderson, Phys. Rev. A 27, 3135 (1983).
[Crossref]

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Figures (4)

Fig. 1
Fig. 1

Dependence of the pulse energy on the average dispersion for six dispersion differences ΔD predicted by the reduced model.

Fig. 2
Fig. 2

Comparison of the FWHM pulse durations obtained from the reduced model (solid line) and full simulations (filled diamonds) corresponding to curve ΔD=220 shown in Fig.  1.

Fig. 3
Fig. 3

Pulse evolution of the stable soliton corresponding to point A of Fig.  1 inside one period of the dispersion map. The starting point is the point of maximum compression inside the anomalous dispersion span.

Fig. 4
Fig. 4

Evolution of a hyperbolic secant pulse to the stable lower-energy soliton corresponding to point B of Fig.  1. The intensities are cut off at 5×10-4.

Equations (5)

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iqz+12Dz2qt2+q2q=0,
q=A exp-1τ2+iαt2+iσ,
dτdz=2Dατ, dαdz=2D1τ4-α2-Sτ3,
f1C1lnC1τ0+f1+C1α0τ02f12+C1=C1D1L1+α0τ02, f2C2lnC2τ0+f2-C2α0τ02f22+C2=C2D2L2-α0τ02,
τ1, 2=1C1, 2-f1, 2+f1, 22+C1, 2.

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