Abstract

We study the mechanism of separation of solitons from radiation in a periodically amplified fiber link with sliding filters. We also present a two-soliton perturbation analysis that explains the suppression of soliton interactions by sliding filters.

© 1994 Optical Society of America

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References

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  1. Y. Kodama, A. Hasegawa, Opt. Lett. 17, 31 (1992).
    [Crossref] [PubMed]
  2. A. Mecozzi, J. D. Moores, H. A. Haus, Y. Lai, Opt. Lett. 16, 1841 (1991).
    [Crossref] [PubMed]
  3. L. F. Mollenauer, J. P. Gordon, S. G. Evangelides, Opt. Lett. 17, 1575 (1992).
    [Crossref] [PubMed]
  4. L. F. Mollenauer, E. Lichtman, M. J. Neubelt, G. T. Harvey, Electron. Lett. 29, 910 (1993).
    [Crossref]
  5. Y. Kodama, S. Wabnitz, Opt. Lett. 18, 1311 (1993).
    [Crossref] [PubMed]
  6. H. H. Chen, C. S. Li, Phys. Rev. Lett. 37, 693 (1976 );the transformation [Eq. (3)] was first discovered by F. Tappert.
    [Crossref]
  7. M. Abramowitz, I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1972), p. 446.
  8. V. I. Karpman, V. V. Solovev, Physica 3D, 487 (1981).
  9. V. V. Afanasjev, Opt. Lett. 18, 790 (1993).
    [Crossref] [PubMed]

1993 (3)

1992 (2)

1991 (1)

1981 (1)

V. I. Karpman, V. V. Solovev, Physica 3D, 487 (1981).

1976 (1)

H. H. Chen, C. S. Li, Phys. Rev. Lett. 37, 693 (1976 );the transformation [Eq. (3)] was first discovered by F. Tappert.
[Crossref]

1972 (1)

M. Abramowitz, I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1972), p. 446.

Abramowitz, M.

M. Abramowitz, I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1972), p. 446.

Afanasjev, V. V.

Chen, H. H.

H. H. Chen, C. S. Li, Phys. Rev. Lett. 37, 693 (1976 );the transformation [Eq. (3)] was first discovered by F. Tappert.
[Crossref]

Evangelides, S. G.

Gordon, J. P.

Harvey, G. T.

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

Hasegawa, A.

Haus, H. A.

Karpman, V. I.

V. I. Karpman, V. V. Solovev, Physica 3D, 487 (1981).

Kodama, Y.

Lai, Y.

Li, C. S.

H. H. Chen, C. S. Li, Phys. Rev. Lett. 37, 693 (1976 );the transformation [Eq. (3)] was first discovered by F. Tappert.
[Crossref]

Lichtman, E.

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

Mecozzi, A.

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]

Moores, J. D.

Neubelt, M. J.

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

Solovev, V. V.

V. I. Karpman, V. V. Solovev, Physica 3D, 487 (1981).

Stegun, I. A.

M. Abramowitz, I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1972), p. 446.

Wabnitz, S.

Electron. Lett. (1)

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

Handbook of Mathematical Functions (1)

M. Abramowitz, I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1972), p. 446.

Opt. Lett. (5)

Phys. Rev. Lett. (1)

H. H. Chen, C. S. Li, Phys. Rev. Lett. 37, 693 (1976 );the transformation [Eq. (3)] was first discovered by F. Tappert.
[Crossref]

Physica (1)

V. I. Karpman, V. V. Solovev, Physica 3D, 487 (1981).

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Figures (3)

Fig. 1
Fig. 1

Output (for Z = 50) temporal intensity profile and spectrum of the input soliton plus radiation without filtering (solid curves) and with sliding filters (dashed curves).

Fig. 2
Fig. 2

Perturbative evolution of (a) two-soliton separation Δ, (b) frequency difference q, (c) relative amplitude p, and (d) phase difference Ψ for different input separations Δ0 (values next to the curves).

Fig. 3
Fig. 3

Two-soliton interactions with sliding filters for (a) Δ0 = 7 and (b) Δ0 = 5.

Equations (10)

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Z Q i 2 T T Q i | Q | 2 Q = δ Q + β [ T + i ω f ( Z ) ] 2 Q .
h ( Ω ) = ln [ H ( Ω ) ] / Z a [ i 2 Ω / B 2 Ω 2 / B 2 + O ( Ω 3 ) ] / Z a ,
Q ( T , Z ) = V ( T + α 0 Z 2 / 2 , Z ) × exp ( i α 0 Z T i α 0 2 Z 3 / 3 ) ;
Z V i 2 τ τ V i | V | 2 V i α 0 τ V = δ V + β τ τ V ,
V ( τ , Z ) = η sech { η [ τ ξ ( Z ) ] } exp [ i κ ( Z ) τ + i ψ ( Z ) ] ,
d κ d Z = α 0 4 β η 2 κ / 3 , d η d Z = 2 δ η 2 β η ( η 2 / 3 + κ 2 )
d 2 f d τ ˆ 2 τ ˆ f = O ( δ , β ) ,
V j ( Z , τ ) = η j sech [ η j ( τ ξ j ) ] exp [ i κ j ( τ ξ j ) + i ψ j ] , j = 1 , 2 .
d q d Z = 4 η 3 exp ( η Δ ) cos ( σ ) 4 3 β q η 2 8 3 β κ η p , d κ d Z = α 0 4 3 β κ η 2 , d Δ d Z = 2 q , d σ d Z = 2 p η 4 3 β κ η 2 Δ , d p d Z = 4 η 3 exp ( η Δ ) sin ( σ ) + 2 p [ δ β ( η 2 + κ 2 ) ] 4 β η κ q , d η d Z = 2 δ η 2 β η ( η 2 3 + κ 2 ) ,
Q ( T , Z = 0 ) = a 0 [ sech ( T Δ 0 / 2 ) + sech ( T + Δ 0 / 2 ]

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