Abstract

We derive an expression for the speed with which neighboring solitons attract or repel each other in dispersion-managed fiber systems. We show that the collapse distance can be increased by an order of magnitude by use of quasi-solitons.

© 1998 Optical Society of America

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References

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    [CrossRef] [PubMed]
  2. Y. Kodama and S. Wabnitz, Electron. Lett. 27, 1931 (1991).
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    [CrossRef] [PubMed]
  4. T. Yu, E. A. Golovchenko, A. N. Pilipetskii, and C. R. Menyuk, Opt. Lett. 22, 793 (1997).
    [CrossRef] [PubMed]
  5. M. Matsumoto, IEEE Photon. Technol. Lett. 10, 373 (1998).
    [CrossRef]
  6. T. Georges and F. Favre, presented at the International Symposium on Recent Progress in Optical Soliton Communication, November 1997, Kyoto, Japan.
  7. J. P. Gordon and L. F. Mollenauer, IEEE J. Lightwave Technol. 9, 170 (1991).
    [CrossRef]
  8. N. J. Smith, F. M. Knox, N. J. Doran, K. J. Blow, and I. Bennion, Electron. Lett. 32, 54 (1996).
    [CrossRef]
  9. I. Gabitov and S. K. Turitsyn, JETP Lett. 63, 863 (1996); Opt. Lett. 21, 327 (1996).
    [CrossRef]
  10. J. N. Kutz, P. Holmes, S. G. Evangelides, and J. P. Gordon, J. Opt. Soc. Am. B 15, 87 (1998).
    [CrossRef]
  11. S. Kumar and F. Lederer, Opt. Lett. 22, 1870 (1997).
    [CrossRef]
  12. S. K. Turitsyn, Phys. Rev. E 56, R3784 (1997).
    [CrossRef]

1998

1997

1996

N. J. Smith, F. M. Knox, N. J. Doran, K. J. Blow, and I. Bennion, Electron. Lett. 32, 54 (1996).
[CrossRef]

I. Gabitov and S. K. Turitsyn, JETP Lett. 63, 863 (1996); Opt. Lett. 21, 327 (1996).
[CrossRef]

1991

J. P. Gordon and L. F. Mollenauer, IEEE J. Lightwave Technol. 9, 170 (1991).
[CrossRef]

Y. Kodama and S. Wabnitz, Electron. Lett. 27, 1931 (1991).
[CrossRef]

1983

Bennion, I.

N. J. Smith, F. M. Knox, N. J. Doran, K. J. Blow, and I. Bennion, Electron. Lett. 32, 54 (1996).
[CrossRef]

Blow, K. J.

N. J. Smith, F. M. Knox, N. J. Doran, K. J. Blow, and I. Bennion, Electron. Lett. 32, 54 (1996).
[CrossRef]

Doran, N. J.

N. J. Smith, F. M. Knox, N. J. Doran, K. J. Blow, and I. Bennion, Electron. Lett. 32, 54 (1996).
[CrossRef]

Evangelides, S. G.

Favre, F.

T. Georges and F. Favre, presented at the International Symposium on Recent Progress in Optical Soliton Communication, November 1997, Kyoto, Japan.

Gabitov, I.

I. Gabitov and S. K. Turitsyn, JETP Lett. 63, 863 (1996); Opt. Lett. 21, 327 (1996).
[CrossRef]

Georges, T.

T. Georges and F. Favre, presented at the International Symposium on Recent Progress in Optical Soliton Communication, November 1997, Kyoto, Japan.

Golovchenko, E. A.

Gordon, J. P.

Hasegawa, A.

Holmes, P.

Knox, F. M.

N. J. Smith, F. M. Knox, N. J. Doran, K. J. Blow, and I. Bennion, Electron. Lett. 32, 54 (1996).
[CrossRef]

Kodama, Y.

Y. Kodama and S. Wabnitz, Electron. Lett. 27, 1931 (1991).
[CrossRef]

Kumar, S.

Kutz, J. N.

Lederer, F.

Matsumoto, M.

M. Matsumoto, IEEE Photon. Technol. Lett. 10, 373 (1998).
[CrossRef]

Menyuk, C. R.

Mollenauer, L. F.

J. P. Gordon and L. F. Mollenauer, IEEE J. Lightwave Technol. 9, 170 (1991).
[CrossRef]

Pilipetskii, A. N.

Smith, N. J.

N. J. Smith, F. M. Knox, N. J. Doran, K. J. Blow, and I. Bennion, Electron. Lett. 32, 54 (1996).
[CrossRef]

Turitsyn, S. K.

S. K. Turitsyn, Phys. Rev. E 56, R3784 (1997).
[CrossRef]

I. Gabitov and S. K. Turitsyn, JETP Lett. 63, 863 (1996); Opt. Lett. 21, 327 (1996).
[CrossRef]

Wabnitz, S.

Y. Kodama and S. Wabnitz, Electron. Lett. 27, 1931 (1991).
[CrossRef]

Yu, T.

Electron. Lett.

Y. Kodama and S. Wabnitz, Electron. Lett. 27, 1931 (1991).
[CrossRef]

N. J. Smith, F. M. Knox, N. J. Doran, K. J. Blow, and I. Bennion, Electron. Lett. 32, 54 (1996).
[CrossRef]

IEEE J. Lightwave Technol.

J. P. Gordon and L. F. Mollenauer, IEEE J. Lightwave Technol. 9, 170 (1991).
[CrossRef]

IEEE Photon. Technol. Lett.

M. Matsumoto, IEEE Photon. Technol. Lett. 10, 373 (1998).
[CrossRef]

J. Opt. Soc. Am. B

JETP Lett.

I. Gabitov and S. K. Turitsyn, JETP Lett. 63, 863 (1996); Opt. Lett. 21, 327 (1996).
[CrossRef]

Opt. Lett.

Phys. Rev. E

S. K. Turitsyn, Phys. Rev. E 56, R3784 (1997).
[CrossRef]

Other

T. Georges and F. Favre, presented at the International Symposium on Recent Progress in Optical Soliton Communication, November 1997, Kyoto, Japan.

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Figures (3)

Fig. 1
Fig. 1

Quasi-soliton functional shape (solid curve) obtained from Eq. (19) with d0=36.58-10 ps2/km, p0=0.603 0.073 ps-1, K1=26.48 0.8829 ps/km, and λ=9.4733 0.3158 ps/km.

Fig. 2
Fig. 2

Rms pulse-width variations within an amplifier span. Solid curve, two-step soliton system; dashed curve, quasi-soliton system with C0=-1.018 -0.0151 ps-2, δ=40 0.1627 km-1, and the other parameters the same as in Fig. 1.

Fig. 3
Fig. 3

Pulse separation as a function of transmission distance on a logarithmic scale. Solid curve, theoretical results [from Eqs. (11) and (4) for the quasi-soliton system and from Eqs. (13) and (4) for the two-step soliton system]; pluses, numerical simulation results.

Equations (19)

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iuZ+dZ22uT2+a2Zu2u=0.
dZ=d+, ZfZZf+Z+=d- 0<Z<Zf, Zf+Z+<Z<Zd.
u=ApZhpZT-T1Z×exp-iΩT+iCZT-T1Z2/2+iβZ.
T˙1=-dZΩ.
p˙=-pCd, C˙=α1dp4-α2a2p3-C2d,
α1=h˙2τdττ2h2τdτ, α2=A2h4τdτ2τ2h2τdτ.
iu1Z+dZ22u1T2+a2zu12u1=iR,
R=ia2Z2u22u1+u22u1*+2u12u2+u12u2*.
Ω˙1=2pg0AIm Rh˙τexp-iθ1dτ-Cp2ReRhττ exp-iθ1dτ,
Ω˙1=apind+apd,
apind=2paA2g0h2τ+pΔTddτh2τdτ,
apd=Aa2/g0h2τhτ+pΔT6p2h˙τcosΔθ-2Chττ sinΔθdτ,
apind=22Apa2pΔT exp-p2ΔT2,
apd=Aa22exp-3p2ΔT2/4-ΔΩ+CΔT2/16p2J1 sin γ+J2 cos γ,
Ω˙1=4A22pa2pT1 exp-4p2T12, T˙1=-Ω1.
Ω1=±A21/4pa2 exp-4p2T02×exp4p2X2T0-X-11/2,
T1ZT0 cos2A2 p3a2 exp-4p2T021/2Z.
dZ=d0exp-2ΓZcoshδZ+C0d0sinhδZ/δ, 0ZZ+=d-, Z+<Z<Za,
β02d2fdτ2+f3-K1/2τ2f=λf.

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