Abstract

We describe the only two significant of the residual birefringence of high-quality fibers on solitons in long-distance transmission: a possible gradual accumulation of differential transit time between orthogonally polarized solitons and a jitter in pulse arrival times, initiated by noise modulation of the polarization states of the pulses and mediated by the birefringence.

© 1994 Optical Society of America

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References

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  1. L. F. Mollenauer, K. Smith, J. P. Gordon, C. R. Menyuk, Opt. Lett. 14, 1219 (1989).
    [Crossref] [PubMed]
  2. L. F. Mollenauer, J. P. Gordon, S. G. Evangelides, Opt. Lett. 17, 1575 (1992).
    [Crossref] [PubMed]
  3. L. F. Mollenauer, E. Lichtman, M. J. Neubelt, G. T. Harvey, Electron. Lett. 29, 910 (1993).
    [Crossref]
  4. S. G. Evangelides, L. F. Mollenauer, J. P. Gordon, N. S. Bergano, J. Lightwave Technol. 10, 28 (1992).
    [Crossref]
  5. We note thatP. K. A. Wai, C. R. Menyuk, H. H. Chen, Opt. Lett. 16, 1231 (1991), numerically investigated the depolarization of pulses launched as solitons into a fiber with a much larger PMD coefficient than we consider here. The effect that they found represents scattering from the solitons into dispersive wave radiation in the polarization state orthogonal to the soliton. That effect has negligible consequences in the present context.
    [Crossref] [PubMed]
  6. C. D. Poole, Opt. Lett. 13, 687 (1988); C. D. Poole, Opt. Lett. 14, 523 (1989); G. J. Foschini, C. D. Poole, J. Lightwave Technol. 9, 1439 (1991); F. Curti, B. Daino, G. DeMarchis, F. Matera, J. Lightwave Technol. 8, 1162 (1990).
    [Crossref] [PubMed]
  7. V. J. Mazurczyk, J. L. Zyskind, in Conference on Lasers and Electro-Optics, Vol. 11 of 1993 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1993), paper CPD-26.
  8. L. F. Mollenauer, P. V. Mamyshev, M. J. Neubelt, “Measurement of timing jitter in soliton transmission at 10 Gbits/s and achievement of 375 Gbits/s-Mm, error free, at 12.5 and 15 Gbits/s,” submitted toOpt. Lett.
    [PubMed]
  9. E. M. Dianov, A. V. Luchnikov, A. N. Pilipetskii, A. M. Prokorov, Sov. Lightwave Commun. 1, 235 (1991).

1993 (1)

L. F. Mollenauer, E. Lichtman, M. J. Neubelt, G. T. Harvey, Electron. Lett. 29, 910 (1993).
[Crossref]

1992 (2)

S. G. Evangelides, L. F. Mollenauer, J. P. Gordon, N. S. Bergano, J. Lightwave Technol. 10, 28 (1992).
[Crossref]

L. F. Mollenauer, J. P. Gordon, S. G. Evangelides, Opt. Lett. 17, 1575 (1992).
[Crossref] [PubMed]

1991 (2)

1989 (1)

1988 (1)

Bergano, N. S.

S. G. Evangelides, L. F. Mollenauer, J. P. Gordon, N. S. Bergano, J. Lightwave Technol. 10, 28 (1992).
[Crossref]

Chen, H. H.

Dianov, E. M.

E. M. Dianov, A. V. Luchnikov, A. N. Pilipetskii, A. M. Prokorov, Sov. Lightwave Commun. 1, 235 (1991).

Evangelides, S. G.

L. F. Mollenauer, J. P. Gordon, S. G. Evangelides, Opt. Lett. 17, 1575 (1992).
[Crossref] [PubMed]

S. G. Evangelides, L. F. Mollenauer, J. P. Gordon, N. S. Bergano, J. Lightwave Technol. 10, 28 (1992).
[Crossref]

Gordon, J. P.

Harvey, G. T.

L. F. Mollenauer, E. Lichtman, M. J. Neubelt, G. T. Harvey, Electron. Lett. 29, 910 (1993).
[Crossref]

Lichtman, E.

L. F. Mollenauer, E. Lichtman, M. J. Neubelt, G. T. Harvey, Electron. Lett. 29, 910 (1993).
[Crossref]

Luchnikov, A. V.

E. M. Dianov, A. V. Luchnikov, A. N. Pilipetskii, A. M. Prokorov, Sov. Lightwave Commun. 1, 235 (1991).

Mamyshev, P. V.

L. F. Mollenauer, P. V. Mamyshev, M. J. Neubelt, “Measurement of timing jitter in soliton transmission at 10 Gbits/s and achievement of 375 Gbits/s-Mm, error free, at 12.5 and 15 Gbits/s,” submitted toOpt. Lett.
[PubMed]

Mazurczyk, V. J.

V. J. Mazurczyk, J. L. Zyskind, in Conference on Lasers and Electro-Optics, Vol. 11 of 1993 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1993), paper CPD-26.

Menyuk, C. R.

Mollenauer, L. F.

L. F. Mollenauer, E. Lichtman, M. J. Neubelt, G. T. Harvey, Electron. Lett. 29, 910 (1993).
[Crossref]

L. F. Mollenauer, J. P. Gordon, S. G. Evangelides, Opt. Lett. 17, 1575 (1992).
[Crossref] [PubMed]

S. G. Evangelides, L. F. Mollenauer, J. P. Gordon, N. S. Bergano, J. Lightwave Technol. 10, 28 (1992).
[Crossref]

L. F. Mollenauer, K. Smith, J. P. Gordon, C. R. Menyuk, Opt. Lett. 14, 1219 (1989).
[Crossref] [PubMed]

L. F. Mollenauer, P. V. Mamyshev, M. J. Neubelt, “Measurement of timing jitter in soliton transmission at 10 Gbits/s and achievement of 375 Gbits/s-Mm, error free, at 12.5 and 15 Gbits/s,” submitted toOpt. Lett.
[PubMed]

Neubelt, M. J.

L. F. Mollenauer, E. Lichtman, M. J. Neubelt, G. T. Harvey, Electron. Lett. 29, 910 (1993).
[Crossref]

L. F. Mollenauer, P. V. Mamyshev, M. J. Neubelt, “Measurement of timing jitter in soliton transmission at 10 Gbits/s and achievement of 375 Gbits/s-Mm, error free, at 12.5 and 15 Gbits/s,” submitted toOpt. Lett.
[PubMed]

Pilipetskii, A. N.

E. M. Dianov, A. V. Luchnikov, A. N. Pilipetskii, A. M. Prokorov, Sov. Lightwave Commun. 1, 235 (1991).

Poole, C. D.

Prokorov, A. M.

E. M. Dianov, A. V. Luchnikov, A. N. Pilipetskii, A. M. Prokorov, Sov. Lightwave Commun. 1, 235 (1991).

Smith, K.

Wai, P. K. A.

Zyskind, J. L.

V. J. Mazurczyk, J. L. Zyskind, in Conference on Lasers and Electro-Optics, Vol. 11 of 1993 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1993), paper CPD-26.

Electron. Lett. (1)

L. F. Mollenauer, E. Lichtman, M. J. Neubelt, G. T. Harvey, Electron. Lett. 29, 910 (1993).
[Crossref]

J. Lightwave Technol. (1)

S. G. Evangelides, L. F. Mollenauer, J. P. Gordon, N. S. Bergano, J. Lightwave Technol. 10, 28 (1992).
[Crossref]

Opt. Lett. (4)

Sov. Lightwave Commun. (1)

E. M. Dianov, A. V. Luchnikov, A. N. Pilipetskii, A. M. Prokorov, Sov. Lightwave Commun. 1, 235 (1991).

Other (2)

V. J. Mazurczyk, J. L. Zyskind, in Conference on Lasers and Electro-Optics, Vol. 11 of 1993 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1993), paper CPD-26.

L. F. Mollenauer, P. V. Mamyshev, M. J. Neubelt, “Measurement of timing jitter in soliton transmission at 10 Gbits/s and achievement of 375 Gbits/s-Mm, error free, at 12.5 and 15 Gbits/s,” submitted toOpt. Lett.
[PubMed]

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Figures (1)

Fig. 1
Fig. 1

Plots of the time separation of orthogonally polarized solitons, t0(z), for various fixed probabilities Pc that t > t0, under the condition that t = 0 at the end of the path (at z = 10 Mm), and for Dp = 0.06 ps/km1/2.

Equations (13)

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D p 0.3 D 1 / 2 ,
t d = 1 2 0 Z [ M ( z , 0 ) · S ( 0 ) ] · b ( z ) d z = S ( 0 ) · 1 2 0 Z [ M ( 0 , z ) · b ( z ) ] d z = 1 2 S ( 0 ) · T .
T 2 T · T = 0 Z 0 Z b ( z ) · [ M ( z , z ) · b ( z ) ] d z d z ,
p ( T i ) d T i = 1 2 π σ exp [ - 1 / 2 ( T i / σ ) 2 ] d T i ,
p c ( t , z ) d t = p ( t , z ) d t p ( - t , L - z ) d t p ( 0 , L ) d t .
p c ( t , z ) d t = [ L 2 π σ 1 2 z ( L - z ) ] 1 / 2 exp [ - t 2 2 σ 1 2 L z ( L - z ) ] d t .
P c ( t 0 , z ) = 2 t 0 p c ( t , z ) d t = erfc { t 0 σ 1 [ L 2 z ( L - z ] 1 / 2 } ,
δ θ n 2 = 2 ( G - 1 ) n sp h ν W sol ,
δ t n = 1 2 amps δ θ n sin θ n T n .
δ t 2 = 1 4 amps δ t n 2 = 1 4 amps ( δ θ n sin θ n T n ) 2 .
δ t 2 = 1 4 δ θ 2 sin 2 θ amps T n 2 .
amps T n 2 = 3 σ 1 2 amps z n = 3 π 8 D p 2 amps z n ,
δ t 2 = π 16 ( G - 1 ) n sp h ν W sol D p 2 Z 2 L amp ,

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