Abstract

We propose an advantageous dispersion-management scheme for wavelength-division-multiplexed soliton transmission in which optimal launch points are obtained whose locations are independent of the fibers' dispersion parameters. Inasmuch as using such optimal launch points minimizes dispersively shed radiation, it is possible to optimize the transmission simultaneously in several different channels. For the particular case of a two-step dispersion map we demonstrate that this result can be achieved by proper choice of the fiber lengths.

© 1998 Optical Society of America

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References

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    [CrossRef] [PubMed]
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    [CrossRef]
  3. C. Kurtzke, IEEE Photon. Technol. Lett. 5, 1250 (1993); N. J. Smith, F. M. Knox, N. J. Doran, K. J. Blow, and I. Bennion, Electron. Lett. 32, 54 (1996); D. Breuer, F. Küppers, A. Matheus, E. G. Shapiro, I. Gabitov, and S. K. Turitsyn, Opt. Lett. 22, 982 (1997).
    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef]
  6. E. Kolltveit, J.-P. Hamaide, and O. Audouin, Electron. Lett. 32, 1858 (1996); S. Kumar, Y. Kodama, and A. Hasegawa, Electron. Lett. 33, 459 (1997); Y. Kodama and A. Maruta, Opt. Lett. 22, 1692 (1997).
    [CrossRef]
  7. T. Georges and B. Charbonnier, IEEE Photon. Technol. Lett. 9, 127 (1997).
    [CrossRef]
  8. I. Gabitov, E. G. Shapiro, and S. K. Turitsyn, Opt. Commun. 134, 317 (1996); Phys. Rev. E 55, 3624 (1997).
    [CrossRef]
  9. E. G. Shapiro and S. K. Turitsyn, Opt. Lett. 22, 1544 (1997).
    [CrossRef]
  10. T.-S. Yang and W. L. Kath, Opt. Lett. 22, 985 (1997).
    [CrossRef] [PubMed]

1997 (4)

1996 (2)

I. Gabitov, E. G. Shapiro, and S. K. Turitsyn, Opt. Commun. 134, 317 (1996); Phys. Rev. E 55, 3624 (1997).
[CrossRef]

E. Kolltveit, J.-P. Hamaide, and O. Audouin, Electron. Lett. 32, 1858 (1996); S. Kumar, Y. Kodama, and A. Hasegawa, Electron. Lett. 33, 459 (1997); Y. Kodama and A. Maruta, Opt. Lett. 22, 1692 (1997).
[CrossRef]

1995 (2)

M. Suzuki, I. Morita, N. Edgawa, S. Yamamoto, H. Taga, and S. Akiba, Electron. Lett. 31, 2027 (1995).
[CrossRef]

R. W. Tkach, A. R. Chraplyvy, F. Forghieri, A. H. Gnauck, and R. M. Derosier, J. Lightwave Technol. 13, 841 (1995).
[CrossRef]

1993 (1)

C. Kurtzke, IEEE Photon. Technol. Lett. 5, 1250 (1993); N. J. Smith, F. M. Knox, N. J. Doran, K. J. Blow, and I. Bennion, Electron. Lett. 32, 54 (1996); D. Breuer, F. Küppers, A. Matheus, E. G. Shapiro, I. Gabitov, and S. K. Turitsyn, Opt. Lett. 22, 982 (1997).
[CrossRef] [PubMed]

1991 (1)

Akiba, S.

M. Suzuki, I. Morita, N. Edgawa, S. Yamamoto, H. Taga, and S. Akiba, Electron. Lett. 31, 2027 (1995).
[CrossRef]

Audouin, O.

E. Kolltveit, J.-P. Hamaide, and O. Audouin, Electron. Lett. 32, 1858 (1996); S. Kumar, Y. Kodama, and A. Hasegawa, Electron. Lett. 33, 459 (1997); Y. Kodama and A. Maruta, Opt. Lett. 22, 1692 (1997).
[CrossRef]

Charbonnier, B.

T. Georges and B. Charbonnier, IEEE Photon. Technol. Lett. 9, 127 (1997).
[CrossRef]

Chraplyvy, A. R.

R. W. Tkach, A. R. Chraplyvy, F. Forghieri, A. H. Gnauck, and R. M. Derosier, J. Lightwave Technol. 13, 841 (1995).
[CrossRef]

Derosier, R. M.

R. W. Tkach, A. R. Chraplyvy, F. Forghieri, A. H. Gnauck, and R. M. Derosier, J. Lightwave Technol. 13, 841 (1995).
[CrossRef]

Edgawa, N.

M. Suzuki, I. Morita, N. Edgawa, S. Yamamoto, H. Taga, and S. Akiba, Electron. Lett. 31, 2027 (1995).
[CrossRef]

Forghieri, F.

R. W. Tkach, A. R. Chraplyvy, F. Forghieri, A. H. Gnauck, and R. M. Derosier, J. Lightwave Technol. 13, 841 (1995).
[CrossRef]

Gabitov, I.

I. Gabitov, E. G. Shapiro, and S. K. Turitsyn, Opt. Commun. 134, 317 (1996); Phys. Rev. E 55, 3624 (1997).
[CrossRef]

Georges, T.

T. Georges and B. Charbonnier, IEEE Photon. Technol. Lett. 9, 127 (1997).
[CrossRef]

Gnauck, A. H.

R. W. Tkach, A. R. Chraplyvy, F. Forghieri, A. H. Gnauck, and R. M. Derosier, J. Lightwave Technol. 13, 841 (1995).
[CrossRef]

Golovchenko, E. A.

Hamaide, J.-P.

E. Kolltveit, J.-P. Hamaide, and O. Audouin, Electron. Lett. 32, 1858 (1996); S. Kumar, Y. Kodama, and A. Hasegawa, Electron. Lett. 33, 459 (1997); Y. Kodama and A. Maruta, Opt. Lett. 22, 1692 (1997).
[CrossRef]

Hasegawa, A.

Kath, W. L.

Kodama, Y.

Kolltveit, E.

E. Kolltveit, J.-P. Hamaide, and O. Audouin, Electron. Lett. 32, 1858 (1996); S. Kumar, Y. Kodama, and A. Hasegawa, Electron. Lett. 33, 459 (1997); Y. Kodama and A. Maruta, Opt. Lett. 22, 1692 (1997).
[CrossRef]

Kurtzke, C.

C. Kurtzke, IEEE Photon. Technol. Lett. 5, 1250 (1993); N. J. Smith, F. M. Knox, N. J. Doran, K. J. Blow, and I. Bennion, Electron. Lett. 32, 54 (1996); D. Breuer, F. Küppers, A. Matheus, E. G. Shapiro, I. Gabitov, and S. K. Turitsyn, Opt. Lett. 22, 982 (1997).
[CrossRef] [PubMed]

Menyuk, C. R.

Morita, I.

M. Suzuki, I. Morita, N. Edgawa, S. Yamamoto, H. Taga, and S. Akiba, Electron. Lett. 31, 2027 (1995).
[CrossRef]

Pilipetskii, A. N.

Shapiro, E. G.

E. G. Shapiro and S. K. Turitsyn, Opt. Lett. 22, 1544 (1997).
[CrossRef]

I. Gabitov, E. G. Shapiro, and S. K. Turitsyn, Opt. Commun. 134, 317 (1996); Phys. Rev. E 55, 3624 (1997).
[CrossRef]

Suzuki, M.

M. Suzuki, I. Morita, N. Edgawa, S. Yamamoto, H. Taga, and S. Akiba, Electron. Lett. 31, 2027 (1995).
[CrossRef]

Taga, H.

M. Suzuki, I. Morita, N. Edgawa, S. Yamamoto, H. Taga, and S. Akiba, Electron. Lett. 31, 2027 (1995).
[CrossRef]

Tkach, R. W.

R. W. Tkach, A. R. Chraplyvy, F. Forghieri, A. H. Gnauck, and R. M. Derosier, J. Lightwave Technol. 13, 841 (1995).
[CrossRef]

Turitsyn, S. K.

E. G. Shapiro and S. K. Turitsyn, Opt. Lett. 22, 1544 (1997).
[CrossRef]

I. Gabitov, E. G. Shapiro, and S. K. Turitsyn, Opt. Commun. 134, 317 (1996); Phys. Rev. E 55, 3624 (1997).
[CrossRef]

Yamamoto, S.

M. Suzuki, I. Morita, N. Edgawa, S. Yamamoto, H. Taga, and S. Akiba, Electron. Lett. 31, 2027 (1995).
[CrossRef]

Yang, T.-S.

Yu, T.

Electron. Lett. (2)

M. Suzuki, I. Morita, N. Edgawa, S. Yamamoto, H. Taga, and S. Akiba, Electron. Lett. 31, 2027 (1995).
[CrossRef]

E. Kolltveit, J.-P. Hamaide, and O. Audouin, Electron. Lett. 32, 1858 (1996); S. Kumar, Y. Kodama, and A. Hasegawa, Electron. Lett. 33, 459 (1997); Y. Kodama and A. Maruta, Opt. Lett. 22, 1692 (1997).
[CrossRef]

IEEE Photon. Technol. Lett. (2)

T. Georges and B. Charbonnier, IEEE Photon. Technol. Lett. 9, 127 (1997).
[CrossRef]

C. Kurtzke, IEEE Photon. Technol. Lett. 5, 1250 (1993); N. J. Smith, F. M. Knox, N. J. Doran, K. J. Blow, and I. Bennion, Electron. Lett. 32, 54 (1996); D. Breuer, F. Küppers, A. Matheus, E. G. Shapiro, I. Gabitov, and S. K. Turitsyn, Opt. Lett. 22, 982 (1997).
[CrossRef] [PubMed]

J. Lightwave Technol. (1)

R. W. Tkach, A. R. Chraplyvy, F. Forghieri, A. H. Gnauck, and R. M. Derosier, J. Lightwave Technol. 13, 841 (1995).
[CrossRef]

Opt. Commun. (1)

I. Gabitov, E. G. Shapiro, and S. K. Turitsyn, Opt. Commun. 134, 317 (1996); Phys. Rev. E 55, 3624 (1997).
[CrossRef]

Opt. Lett. (4)

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Figures (2)

Fig. 1
Fig. 1

Evolution of chirp parameter b in Cases I (circles) and II (diamonds) after unchirped power-enhanced hyperbolic-secant pulses are launched at a GVD-independent optimal launch point. The parameters are described in the text; the dispersion-map profile for case I is also shown (dotted line). Chirp values b are read on the left, and dispersion values σ are read on the right.

Fig. 2
Fig. 2

Pulse profiles after propagation over 82 dispersion-map periods (9840  km). The launch point is either a chirp-free point (Case I, solid curve; Case II, shorter-dashed curves) or the beginning of the normal-dispersion segment (Case I, dotted–dashed curve; Case II, longer-dashed curve). The parameters for Cases I and II are described in the text.

Equations (8)

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

iuz-12σz2ut2+gzu2u=0.
iux-12σˆξ2ut2+u2u=0,
iUx-12σˆξ2Ut2+U2U=O2,
u=U-i2μˆξ-μˆξ2Ut2+,
2ϕ=x-μˆξ-μˆξ1-2 sech2t+.
b=-4π2μˆξ-μˆξ.
σ1+1=2ΛG exp-2Λζ1a+2Λζ1a-1-ΛG-12Λζ1aG-1-G+exp2Λζ2-ζ1/ζ2,
σ1+1=2Λ exp-2Λζ2a+2Λζ2a-1+ΛG-1-2Λζ1aG-1-G+exp2Λζ2-ζ1/ζ2,

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