Abstract

We calculate the self-frequency shift experienced by a soliton in a dispersion-managed fiber that is due to the Raman effect, as well as the energy and frequency shifts that result from a collision of such solitons with different wavelengths. We find that dispersion management suppresses both types of frequency shift but does not significantly affect the energy shift that is accumulated over a large propagation distance. The latter shift may represent a potential problem for wavelength-division-multiplexed systems with several gigabits per second in a single channel.

© 1999 Optical Society of America

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References

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  1. T. I. Lakoba and D. J. Kaup, Phys. Rev. E 58, 6728 (1998).
    [CrossRef]
  2. G. P. Agrawal, Nonlinear Fiber Optics (Academic, San Diego, Calif., 1995), Chap. 2.
  3. T. I. Lakoba and D. J. Kaup, Electron. Lett. 34, 1124 (1998)S. K. Turitsyn and V. K. Mezentsev, JETP Lett. 67, 540 (1998).
    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef]
  8. T. Hirooka and A. Hasegawa, Opt. Lett. 23, 768 (1998).
    [CrossRef]
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    [CrossRef] [PubMed]

1998

T. I. Lakoba and D. J. Kaup, Phys. Rev. E 58, 6728 (1998).
[CrossRef]

T. I. Lakoba and D. J. Kaup, Electron. Lett. 34, 1124 (1998)S. K. Turitsyn and V. K. Mezentsev, JETP Lett. 67, 540 (1998).
[CrossRef]

T. Hirooka and A. Hasegawa, Opt. Lett. 23, 768 (1998).
[CrossRef]

A. M. Niculae, W. Forysiak, A. J. Gloag, J. H. B. Nijhoff, and N. J. Doran, Opt. Lett. 23, 1354 (1998).
[CrossRef]

S. Kumar, Opt. Lett. 23, 1450 (1998).
[CrossRef]

1996

1991

B. A. Malomed, Phys. Rev. A 44, 1412 (1991).
[CrossRef] [PubMed]

1986

Agrawal, G. P.

G. P. Agrawal, Nonlinear Fiber Optics (Academic, San Diego, Calif., 1995), Chap. 2.

Doran, N. J.

Forysiak, W.

Gloag, A. J.

Gordon, J. P.

Hasegawa, A.

Hirooka, T.

Kaup, D. J.

T. I. Lakoba and D. J. Kaup, Phys. Rev. E 58, 6728 (1998).
[CrossRef]

T. I. Lakoba and D. J. Kaup, Electron. Lett. 34, 1124 (1998)S. K. Turitsyn and V. K. Mezentsev, JETP Lett. 67, 540 (1998).
[CrossRef]

D. J. Kaup, B. A. Malomed, and J. Yang, “Collision-induced pulse timing jitter in a wavelength-division multiplexing system with strong dispersion management,” J. Opt. Soc. Am. B (to be published) .

Kumar, S.

Lakoba, T. I.

T. I. Lakoba and D. J. Kaup, Phys. Rev. E 58, 6728 (1998).
[CrossRef]

T. I. Lakoba and D. J. Kaup, Electron. Lett. 34, 1124 (1998)S. K. Turitsyn and V. K. Mezentsev, JETP Lett. 67, 540 (1998).
[CrossRef]

Malomed, B. A.

B. A. Malomed, Phys. Rev. A 44, 1412 (1991).
[CrossRef] [PubMed]

D. J. Kaup, B. A. Malomed, and J. Yang, “Collision-induced pulse timing jitter in a wavelength-division multiplexing system with strong dispersion management,” J. Opt. Soc. Am. B (to be published) .

Mollenauer, L. F.

Niculae, A. M.

Nijhoff, J. H. B.

Yang, J.

D. J. Kaup, B. A. Malomed, and J. Yang, “Collision-induced pulse timing jitter in a wavelength-division multiplexing system with strong dispersion management,” J. Opt. Soc. Am. B (to be published) .

Electron. Lett.

T. I. Lakoba and D. J. Kaup, Electron. Lett. 34, 1124 (1998)S. K. Turitsyn and V. K. Mezentsev, JETP Lett. 67, 540 (1998).
[CrossRef]

Opt. Lett.

Phys. Rev. A

B. A. Malomed, Phys. Rev. A 44, 1412 (1991).
[CrossRef] [PubMed]

Phys. Rev. E

T. I. Lakoba and D. J. Kaup, Phys. Rev. E 58, 6728 (1998).
[CrossRef]

Other

G. P. Agrawal, Nonlinear Fiber Optics (Academic, San Diego, Calif., 1995), Chap. 2.

D. J. Kaup, B. A. Malomed, and J. Yang, “Collision-induced pulse timing jitter in a wavelength-division multiplexing system with strong dispersion management,” J. Opt. Soc. Am. B (to be published) .

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Equations (14)

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iAZ-12κATT+γA2A=γτRAAT2,
iuz+Dz2uττ+ϵD02uττ+u2u=μϵuuτ2.
u0=a01+iΔT021/2exp-ξ2/2+iΨ,
S=ln2κ2-κavL2-κ1-κavL1τFWHM2,
D0=a02T02IS/2,
a02a02T0da02T0dz1=μ Im R0,a0T02dω0dz1=μ Re R1.
Rnz1=01dz02nn!π1+iΔ/T02n/2+11-iΔ/T02n/2×-dξRξ,zHnξexp-ξ2/2-iΨ,
dω0/dz1=-μ2a02S/1+S21/2.
dν0dZ=-τRτFWHM22ln2πγP01+S21/2.
ϵ-2unu3-n2+μunun2τ+μunu3-n2τ+μunu3-nu3-n*τ.
R=μa01a022exp-ξ22-ξ12/2+iΨ1T01+Δ2/T041+iΔ/T021/2×δξ1+iΔ/T02-4ξ++2iω0T01+Δ2/T041/2,
δEE-dlnEdz1dz1=-μ8πD02S1/2D01+D02IS,
δω0-dω0dz1dz1=-μ4πD02S3/2ω0D01+D02IS,
δEEtotalγP0ZMM-1τRτFWHM,

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