Abstract

The effect of control filters on the interaction between solitons at different frequencies in wavelength-division-multiplexing systems is investigated. The insertion of control filters leads to an improvement in the system performance.

© 1992 Optical Society of America

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References

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  1. A. Mecozzi, J. D. Moores, H. A. Haus, Y. Lai, Opt. Lett. 16, 1841 (1991).
    [Crossref] [PubMed]
  2. Y. Kodama, A. Hasegawa, Opt. Lett. 17, 31 (1992).
    [Crossref] [PubMed]
  3. J. P. Gordon, H. A. Haus, Opt. Lett. 11, 665 (1986).
    [Crossref] [PubMed]
  4. Y. Kodama, A. Hasegawa, Opt. Lett. 16, 208 (1991).
    [Crossref] [PubMed]
  5. L. F. Mollenauer, S. G. Evangelides, H. A. Haus, IEEE J. Lightwave Technol. 9, 194 (1991).
    [Crossref]
  6. H. A. Haus, Y. Lai, J. Opt. Soc. Am. B 7, 386 (1990).
    [Crossref]
  7. L. F. Mollenauer, S. G. Evangelides, J. P. Gordon, IEEE J. Lightwave Technol. 8, 362 (1991).
    [Crossref]
  8. L. F. Mollenauer, E. Lichtman, G. T. Harvey, M. J. Neubelt, B. M. Nyman, in Digest of Conference on Optical Fiber Communication (Optical Society of America, Washington, D.C., 1992), paper PD10.
  9. A. Mecozzi, J. D. Moores, H. A. Haus, Y. Lai, “Modulation and filtering control of soliton transmission,” J. Opt. Soc. Am. B (to be published).

1992 (1)

1991 (4)

Y. Kodama, A. Hasegawa, Opt. Lett. 16, 208 (1991).
[Crossref] [PubMed]

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

A. Mecozzi, J. D. Moores, H. A. Haus, Y. Lai, Opt. Lett. 16, 1841 (1991).
[Crossref] [PubMed]

L. F. Mollenauer, S. G. Evangelides, J. P. Gordon, IEEE J. Lightwave Technol. 8, 362 (1991).
[Crossref]

1990 (1)

1986 (1)

Evangelides, S. G.

L. F. Mollenauer, S. G. Evangelides, J. P. Gordon, IEEE J. Lightwave Technol. 8, 362 (1991).
[Crossref]

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

Gordon, J. P.

L. F. Mollenauer, S. G. Evangelides, J. P. Gordon, IEEE J. Lightwave Technol. 8, 362 (1991).
[Crossref]

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

Harvey, G. T.

L. F. Mollenauer, E. Lichtman, G. T. Harvey, M. J. Neubelt, B. M. Nyman, in Digest of Conference on Optical Fiber Communication (Optical Society of America, Washington, D.C., 1992), paper PD10.

Hasegawa, A.

Haus, H. A.

A. Mecozzi, J. D. Moores, H. A. Haus, Y. Lai, Opt. Lett. 16, 1841 (1991).
[Crossref] [PubMed]

L. F. Mollenauer, S. G. Evangelides, H. A. Haus, IEEE J. Lightwave Technol. 9, 194 (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, “Modulation and filtering control of soliton transmission,” J. Opt. Soc. Am. B (to be published).

Kodama, Y.

Lai, Y.

A. Mecozzi, J. D. Moores, H. A. Haus, Y. Lai, Opt. Lett. 16, 1841 (1991).
[Crossref] [PubMed]

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

A. Mecozzi, J. D. Moores, H. A. Haus, Y. Lai, “Modulation and filtering control of soliton transmission,” J. Opt. Soc. Am. B (to be published).

Lichtman, E.

L. F. Mollenauer, E. Lichtman, G. T. Harvey, M. J. Neubelt, B. M. Nyman, in Digest of Conference on Optical Fiber Communication (Optical Society of America, Washington, D.C., 1992), paper PD10.

Mecozzi, A.

A. Mecozzi, J. D. Moores, H. A. Haus, Y. Lai, Opt. Lett. 16, 1841 (1991).
[Crossref] [PubMed]

A. Mecozzi, J. D. Moores, H. A. Haus, Y. Lai, “Modulation and filtering control of soliton transmission,” J. Opt. Soc. Am. B (to be published).

Mollenauer, L. F.

L. F. Mollenauer, S. G. Evangelides, J. P. Gordon, IEEE J. Lightwave Technol. 8, 362 (1991).
[Crossref]

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

L. F. Mollenauer, E. Lichtman, G. T. Harvey, M. J. Neubelt, B. M. Nyman, in Digest of Conference on Optical Fiber Communication (Optical Society of America, Washington, D.C., 1992), paper PD10.

Moores, J. D.

A. Mecozzi, J. D. Moores, H. A. Haus, Y. Lai, Opt. Lett. 16, 1841 (1991).
[Crossref] [PubMed]

A. Mecozzi, J. D. Moores, H. A. Haus, Y. Lai, “Modulation and filtering control of soliton transmission,” J. Opt. Soc. Am. B (to be published).

Neubelt, M. J.

L. F. Mollenauer, E. Lichtman, G. T. Harvey, M. J. Neubelt, B. M. Nyman, in Digest of Conference on Optical Fiber Communication (Optical Society of America, Washington, D.C., 1992), paper PD10.

Nyman, B. M.

L. F. Mollenauer, E. Lichtman, G. T. Harvey, M. J. Neubelt, B. M. Nyman, in Digest of Conference on Optical Fiber Communication (Optical Society of America, Washington, D.C., 1992), paper PD10.

IEEE J. Lightwave Technol. (2)

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

L. F. Mollenauer, S. G. Evangelides, J. P. Gordon, IEEE J. Lightwave Technol. 8, 362 (1991).
[Crossref]

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

Opt. Lett. (4)

Other (2)

L. F. Mollenauer, E. Lichtman, G. T. Harvey, M. J. Neubelt, B. M. Nyman, in Digest of Conference on Optical Fiber Communication (Optical Society of America, Washington, D.C., 1992), paper PD10.

A. Mecozzi, J. D. Moores, H. A. Haus, Y. Lai, “Modulation and filtering control of soliton transmission,” J. Opt. Soc. Am. B (to be published).

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Figures (3)

Fig. 1
Fig. 1

Normalized momentum deviation Δ without filters (dashed curve) and with filters (solid curve) versus the distance z over the soliton period zs = πτ2/(4D). The solitons are superimposed at z0 = 0. The normalized filter bandwidth is 1/(Ωj2lD) = 0.2, and the normalized momentum separation between the two solitons is Δp0τ=6.4.

Fig. 2
Fig. 2

Normalized momentum deviation Δ and normalized timing deviation ΔT/τ without filters (dashed curve) and with filters (solid curve) versus distance. The solitons are not overlapping in the initial position. The values of the parameters are the same as in Fig. 1.

Fig. 3
Fig. 3

Normalized momentum and timing deviations without filters (dashed curve) and with filters (solid curve) versus distance. The soliton collides with two solitons in the other channel spaced 10 times their pulse width. The values of the other parameters are the same as in Fig. 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 .
r 2 = 1 - exp ( - 2 Γ l ) 2 Γ l ,
u 0 ( z , t ) = A 0 sech ( t - Δ T - 2 D p z τ ) × exp [ - j ( p t - D p 2 z + D z τ 2 + θ ) ] .
A 0 2 = 2 D r 2 δ τ 2 .
z Δ p = - 4 3 1 Ω f 2 l 1 τ 2 Δ p + 4 D τ 3 f ( 2 D Δ p 0 τ z ) ,
z Δ T = 2 D Δ p ,
f ( x ) = 2 x [ 1 + 2 cosh ( x ) 2 ] - 6 sinh ( x ) cosh ( x ) sinh ( x ) 4
Δ p ( z ) = 2 τ 2 Δ p 0 [ g ( 2 D Δ p 0 τ z ) - g ( 2 D Δ p 0 τ z 0 ) ] ,
g ( x ) = - x f ( x ) d x = - 2 x cosh ( x ) - sinh ( x ) sinh ( x ) 3 .
Δ p ( ) = - 2 τ 2 Δ p 0 g ( 2 D Δ p 0 τ z 0 ) ,
Δ T ( ) = 2 D - Δ p ( z ) d z = - 4 τ Δ p 0 2
Δ T ( ) = 2 D z 0 Δ p ( z ) d z = 3 2 τ 2 Ω j 2 l D [ - z 0 z Δ p ( z ) d z + 4 D τ 3 z 0 f ( 2 D Δ p 0 τ z ) d z ] .
Δ T ( ) = 3 Ω f 2 l D Δ p 0 2 D Δ p 0 z 0 / τ f ( x ) d x = - 3 Ω f 2 l D Δ p 0 g ( 2 D Δ p 0 τ z 0 ) .
Δ T ( ) = 2 Ω f 2 l D Δ p 0 .
Δ T ( ) = 0.
i f ( 2 D Δ p 0 τ z - i Δ T b τ ) ,

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