Abstract

The Gordon–Haus limit of long-distance soliton transmission can be partially overcome through the use of linear filters in each amplifier stage. New limits are derived, and they show the possibility of increased bit rates and/or distances of propagation.

© 1991 Optical Society of America

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References

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  1. A. Hasegawa, Appl. Opt. 23, 3302 (1984).
    [CrossRef] [PubMed]
  2. N. Nakazawa, Y. Kimura, K. Suzuki, H. Kubota, J. Appl. Phys. 66, 2803 (1989).
    [CrossRef]
  3. L. F. Mollenauer, S. G. Evangelides, H. A. Haus, IEEE J. Lightwave Technol. 9, 194 (1991).
    [CrossRef]
  4. J. P. Gordon, H. A. Haus, Opt. Lett. 11, 665 (1986).
    [CrossRef] [PubMed]
  5. L. F. Mollenauer, B. M. Nyman, M. J. Neubelt, G. Raybon, S. G. Evangelides, Electron. Lett. 27, 178 (1991).
    [CrossRef]
  6. A. Mecozzi, J. D. Moores, H. A. Haus, Y. Lai, poster paper presented at the 1991 Gordon Research Conference on Nonlinear Optics and Lasers, Wolfe-boro, N.H., July 22–26, 1991.
  7. H. A. Haus, Y. Lai, J. Opt. Soc. Am. B 7, 386 (1990).
    [CrossRef]
  8. H. A. Haus, J. Opt. Soc. Am. B 8, 1122 (1991).
    [CrossRef]
  9. M. Nakazawa, K. Kurokawa, H. Kubota, E. Yamada, Phys. Rev. Lett. 65, 1881 (1990).
    [CrossRef] [PubMed]
  10. H. Kubota, M. Nakazawa, K. Kurokawa, in Digest of Conference on Optical Fiber Communication (Optical Society of America, Washington, D.C., 1991), paper TuK2.

1991 (3)

L. F. Mollenauer, S. G. Evangelides, H. A. Haus, IEEE J. Lightwave Technol. 9, 194 (1991).
[CrossRef]

L. F. Mollenauer, B. M. Nyman, M. J. Neubelt, G. Raybon, S. G. Evangelides, Electron. Lett. 27, 178 (1991).
[CrossRef]

H. A. Haus, J. Opt. Soc. Am. B 8, 1122 (1991).
[CrossRef]

1990 (2)

M. Nakazawa, K. Kurokawa, H. Kubota, E. Yamada, Phys. Rev. Lett. 65, 1881 (1990).
[CrossRef] [PubMed]

H. A. Haus, Y. Lai, J. Opt. Soc. Am. B 7, 386 (1990).
[CrossRef]

1989 (1)

N. Nakazawa, Y. Kimura, K. Suzuki, H. Kubota, J. Appl. Phys. 66, 2803 (1989).
[CrossRef]

1986 (1)

1984 (1)

Evangelides, S. G.

L. F. Mollenauer, S. G. Evangelides, H. A. Haus, IEEE J. Lightwave Technol. 9, 194 (1991).
[CrossRef]

L. F. Mollenauer, B. M. Nyman, M. J. Neubelt, G. Raybon, S. G. Evangelides, Electron. Lett. 27, 178 (1991).
[CrossRef]

Gordon, J. P.

Hasegawa, A.

Haus, H. A.

L. F. Mollenauer, S. G. Evangelides, H. A. Haus, IEEE J. Lightwave Technol. 9, 194 (1991).
[CrossRef]

H. A. Haus, J. Opt. Soc. Am. B 8, 1122 (1991).
[CrossRef]

H. A. Haus, Y. Lai, J. Opt. Soc. Am. B 7, 386 (1990).
[CrossRef]

J. P. Gordon, H. A. Haus, Opt. Lett. 11, 665 (1986).
[CrossRef] [PubMed]

A. Mecozzi, J. D. Moores, H. A. Haus, Y. Lai, poster paper presented at the 1991 Gordon Research Conference on Nonlinear Optics and Lasers, Wolfe-boro, N.H., July 22–26, 1991.

Kimura, Y.

N. Nakazawa, Y. Kimura, K. Suzuki, H. Kubota, J. Appl. Phys. 66, 2803 (1989).
[CrossRef]

Kubota, H.

M. Nakazawa, K. Kurokawa, H. Kubota, E. Yamada, Phys. Rev. Lett. 65, 1881 (1990).
[CrossRef] [PubMed]

N. Nakazawa, Y. Kimura, K. Suzuki, H. Kubota, J. Appl. Phys. 66, 2803 (1989).
[CrossRef]

H. Kubota, M. Nakazawa, K. Kurokawa, in Digest of Conference on Optical Fiber Communication (Optical Society of America, Washington, D.C., 1991), paper TuK2.

Kurokawa, K.

M. Nakazawa, K. Kurokawa, H. Kubota, E. Yamada, Phys. Rev. Lett. 65, 1881 (1990).
[CrossRef] [PubMed]

H. Kubota, M. Nakazawa, K. Kurokawa, in Digest of Conference on Optical Fiber Communication (Optical Society of America, Washington, D.C., 1991), paper TuK2.

Lai, Y.

H. A. Haus, Y. Lai, J. Opt. Soc. Am. B 7, 386 (1990).
[CrossRef]

A. Mecozzi, J. D. Moores, H. A. Haus, Y. Lai, poster paper presented at the 1991 Gordon Research Conference on Nonlinear Optics and Lasers, Wolfe-boro, N.H., July 22–26, 1991.

Mecozzi, A.

A. Mecozzi, J. D. Moores, H. A. Haus, Y. Lai, poster paper presented at the 1991 Gordon Research Conference on Nonlinear Optics and Lasers, Wolfe-boro, N.H., July 22–26, 1991.

Mollenauer, L. F.

L. F. Mollenauer, B. M. Nyman, M. J. Neubelt, G. Raybon, S. G. Evangelides, Electron. Lett. 27, 178 (1991).
[CrossRef]

L. F. Mollenauer, S. G. Evangelides, H. A. Haus, IEEE J. Lightwave Technol. 9, 194 (1991).
[CrossRef]

Moores, J. D.

A. Mecozzi, J. D. Moores, H. A. Haus, Y. Lai, poster paper presented at the 1991 Gordon Research Conference on Nonlinear Optics and Lasers, Wolfe-boro, N.H., July 22–26, 1991.

Nakazawa, M.

M. Nakazawa, K. Kurokawa, H. Kubota, E. Yamada, Phys. Rev. Lett. 65, 1881 (1990).
[CrossRef] [PubMed]

H. Kubota, M. Nakazawa, K. Kurokawa, in Digest of Conference on Optical Fiber Communication (Optical Society of America, Washington, D.C., 1991), paper TuK2.

Nakazawa, N.

N. Nakazawa, Y. Kimura, K. Suzuki, H. Kubota, J. Appl. Phys. 66, 2803 (1989).
[CrossRef]

Neubelt, M. J.

L. F. Mollenauer, B. M. Nyman, M. J. Neubelt, G. Raybon, S. G. Evangelides, Electron. Lett. 27, 178 (1991).
[CrossRef]

Nyman, B. M.

L. F. Mollenauer, B. M. Nyman, M. J. Neubelt, G. Raybon, S. G. Evangelides, Electron. Lett. 27, 178 (1991).
[CrossRef]

Raybon, G.

L. F. Mollenauer, B. M. Nyman, M. J. Neubelt, G. Raybon, S. G. Evangelides, Electron. Lett. 27, 178 (1991).
[CrossRef]

Suzuki, K.

N. Nakazawa, Y. Kimura, K. Suzuki, H. Kubota, J. Appl. Phys. 66, 2803 (1989).
[CrossRef]

Yamada, E.

M. Nakazawa, K. Kurokawa, H. Kubota, E. Yamada, Phys. Rev. Lett. 65, 1881 (1990).
[CrossRef] [PubMed]

Appl. Opt. (1)

Electron. Lett. (1)

L. F. Mollenauer, B. M. Nyman, M. J. Neubelt, G. Raybon, S. G. Evangelides, Electron. Lett. 27, 178 (1991).
[CrossRef]

IEEE J. Lightwave Technol. (1)

L. F. Mollenauer, S. G. Evangelides, H. A. Haus, IEEE J. Lightwave Technol. 9, 194 (1991).
[CrossRef]

J. Appl. Phys. (1)

N. Nakazawa, Y. Kimura, K. Suzuki, H. Kubota, J. Appl. Phys. 66, 2803 (1989).
[CrossRef]

J. Opt. Soc. Am. B (2)

Opt. Lett. (1)

Phys. Rev. Lett. (1)

M. Nakazawa, K. Kurokawa, H. Kubota, E. Yamada, Phys. Rev. Lett. 65, 1881 (1990).
[CrossRef] [PubMed]

Other (2)

H. Kubota, M. Nakazawa, K. Kurokawa, in Digest of Conference on Optical Fiber Communication (Optical Society of America, Washington, D.C., 1991), paper TuK2.

A. Mecozzi, J. D. Moores, H. A. Haus, Y. Lai, poster paper presented at the 1991 Gordon Research Conference on Nonlinear Optics and Lasers, Wolfe-boro, N.H., July 22–26, 1991.

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Figures (1)

Fig. 1
Fig. 1

Variance of time fluctuations (in arbitrary units) versus distance (in soliton period units) for 1/(Ωf2lD) = 0.1.

Equations (16)

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z u = - j D 2 t 2 u - j r 2 δ u 2 u + Δ g u + 1 Ω f 2 l ( 2 t 2 + 2 j Δ ω t - Δ ω 2 ) u + S ( z , t ) .
r 2 = 1 - exp ( - 2 Γ l ) 2 Γ l ,
u 0 ( z , t ) = n 0 r 2 δ 2 D sech ( t - Δ T - 2 D p z τ ) × exp [ j ( - p t + D p 2 z - D z τ 2 + θ ) ] .
1 τ = n 0 r 2 δ 4 D .
z Δ p = - 4 3 1 Ω f 2 l 1 τ 2 Δ p + S p ( z ) ,
z Δ T = 2 D Δ p + S T ( z ) .
S * ( z , t ) S ( z , t ) = 2 Γ δ ( t - t ) δ ( z - z ) .
f = ( G - 1 ) 2 G ( ln G ) 2 ,
S * ( z , Ω ) S ( z , Ω ) = 2 Γ f 2 π δ ( Ω - Ω ) δ ( z - z ) .
u * ( z , Ω ) u ( z , Ω ) = 2 Γ f exp { [ 2 Δ g - 1 Ω f 2 l ( Ω 2 + Ω 2 ) - j D ( Ω 2 - Ω 2 ) ] z } - 1 2 Δ g - 1 Ω f 2 l ( Ω 2 + Ω 2 ) - j D ( Ω 2 - Ω 2 ) 2 π δ ( Ω - Ω ) .
u * ( z , t ) u ( z , t ) = 2 Γ f d Ω 2 π × exp [ 2 ( Δ g - 1 Ω f 2 l Ω 2 ) z ] - 1 2 ( Δ g - 1 Ω f 2 l Ω 2 ) .
n c 2 Γ z f 1 2 π exp ( 2 Δ g z ) 2 Δ g z ( 1 12 Δ g z ) 1 / 2 2 t w τ ,
Δ g z = π 12 1 D l Ω f 2 z z 0 ,
z 0 = π 4 τ 2 D .
R 3 L L 0 2 = 4.573 × 10 - 2 t s t w 2 R 3 A eff / ( h 2 Γ n 2 D f ) ,
L 0 = 3 4 Ω f 2 l τ 2 .

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