Abstract

We give a simple new derivation of the ordinary differential equations that describe approximately the behavior of dispersion-managed solitons, and a new scheme for their solution in which the nonlinear dispersive and spectral effects are clearly apparent.

© 1999 Optical Society of America

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References

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  1. M. Suzuki, I. Morita, N. Edagawa, S. Yamamoto, H. Taga, and S. Akiba, Electron. Lett. 31, 2027 (1995).
    [CrossRef]
  2. N. J. Smith, F. M. Knox, N. J. Doran, K. J. Blow, and I. Bennion, Electron. Lett. 32, 54 (1996).
    [CrossRef]
  3. D. Anderson, Phys. Rev. A 27, 3135 (1983).
    [CrossRef]
  4. S. K. Turitsyn and E. G. Shapiro, Opt. Fiber Technol. 4, 151 (1998).
    [CrossRef]
  5. J. N. Kutz, P. Holmes, S. G. Evangelides, and J. P. Gordon, J. Opt. Soc. Am. B 15, 89 (1998).
    [CrossRef]
  6. J. N. Kutz and S. G. Evangelides, Opt. Lett. 23, 685 (1998).
    [CrossRef]
  7. L. F. Mollenauer, P. V. Mamyshev, and J. P. Gordon, Opt. Lett. 24, 220 (1999).
    [CrossRef]
  8. L. F. Mollenauer, J. P. Gordon, and P. V. Mamyshev, “Dispersion-managed solitons for terrestrial transmission,” Opt. Lett. (to be published).

1999 (1)

1998 (3)

S. K. Turitsyn and E. G. Shapiro, Opt. Fiber Technol. 4, 151 (1998).
[CrossRef]

J. N. Kutz, P. Holmes, S. G. Evangelides, and J. P. Gordon, J. Opt. Soc. Am. B 15, 89 (1998).
[CrossRef]

J. N. Kutz and S. G. Evangelides, Opt. Lett. 23, 685 (1998).
[CrossRef]

1996 (1)

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

1995 (1)

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

1983 (1)

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

Akiba, S.

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

Anderson, D.

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

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]

Edagawa, N.

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

Evangelides, S. G.

J. N. Kutz, P. Holmes, S. G. Evangelides, and J. P. Gordon, J. Opt. Soc. Am. B 15, 89 (1998).
[CrossRef]

J. N. Kutz and S. G. Evangelides, Opt. Lett. 23, 685 (1998).
[CrossRef]

Gordon, J. P.

L. F. Mollenauer, P. V. Mamyshev, and J. P. Gordon, Opt. Lett. 24, 220 (1999).
[CrossRef]

J. N. Kutz, P. Holmes, S. G. Evangelides, and J. P. Gordon, J. Opt. Soc. Am. B 15, 89 (1998).
[CrossRef]

L. F. Mollenauer, J. P. Gordon, and P. V. Mamyshev, “Dispersion-managed solitons for terrestrial transmission,” Opt. Lett. (to be published).

Holmes, P.

J. N. Kutz, P. Holmes, S. G. Evangelides, and J. P. Gordon, J. Opt. Soc. Am. B 15, 89 (1998).
[CrossRef]

Knox, F. M.

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

Kutz, J. N.

J. N. Kutz and S. G. Evangelides, Opt. Lett. 23, 685 (1998).
[CrossRef]

J. N. Kutz, P. Holmes, S. G. Evangelides, and J. P. Gordon, J. Opt. Soc. Am. B 15, 89 (1998).
[CrossRef]

Mamyshev, P. V.

L. F. Mollenauer, P. V. Mamyshev, and J. P. Gordon, Opt. Lett. 24, 220 (1999).
[CrossRef]

L. F. Mollenauer, J. P. Gordon, and P. V. Mamyshev, “Dispersion-managed solitons for terrestrial transmission,” Opt. Lett. (to be published).

Mollenauer, L. F.

L. F. Mollenauer, P. V. Mamyshev, and J. P. Gordon, Opt. Lett. 24, 220 (1999).
[CrossRef]

L. F. Mollenauer, J. P. Gordon, and P. V. Mamyshev, “Dispersion-managed solitons for terrestrial transmission,” Opt. Lett. (to be published).

Morita, I.

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

Shapiro, E. G.

S. K. Turitsyn and E. G. Shapiro, Opt. Fiber Technol. 4, 151 (1998).
[CrossRef]

Smith, N. J.

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

Suzuki, M.

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

Taga, H.

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

Turitsyn, S. K.

S. K. Turitsyn and E. G. Shapiro, Opt. Fiber Technol. 4, 151 (1998).
[CrossRef]

Yamamoto, S.

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

Electron. Lett. (2)

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

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

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

J. N. Kutz, P. Holmes, S. G. Evangelides, and J. P. Gordon, J. Opt. Soc. Am. B 15, 89 (1998).
[CrossRef]

Opt. Fiber Technol. (1)

S. K. Turitsyn and E. G. Shapiro, Opt. Fiber Technol. 4, 151 (1998).
[CrossRef]

Opt. Lett. (2)

Phys. Rev. A (1)

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

Other (1)

L. F. Mollenauer, J. P. Gordon, and P. V. Mamyshev, “Dispersion-managed solitons for terrestrial transmission,” Opt. Lett. (to be published).

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Figures (2)

Fig. 1
Fig. 1

Plot of qNLz in the complex plane, with z normalized to the dispersion length. The solid curve is the lossless case, with K=0.015. The dotted curve has a loss parameter of 0.5, with K=0.015exp-0.5z.

Fig. 2
Fig. 2

Plot of qNLz as in Fig.  1, in the lossless case for various positive values of K and z.

Equations (10)

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

-iuz=12Δz2ut2+Gzu2u.
Gu=ΔAsechAtexpiΔA2z/2,
Gu=Wη/π1/4exp-η+iβt2/2+iϕ,
H=Δut2-Gu4dt=CΔη2+β22η-C2Gη2π1/2.
dηdz=2 Δηβ,dβdz=Δβ2-η2+W2πη3/2.
q=η0/η+iβ,
dqdz=iη0Δ1-Kq2Re1/q3/2,
K=2π3/22ln2n2cλ3Wτ0AeffD=19.80Wτ0AeffD,
qz=1+iη00zΔzdz+qNLz,
iη0Δ¯L+qNLzb-qNL-za=0.

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