Abstract

We point out the importance of the modulational instability as a possible limiting factor for coherent optical-fiber transmission.

© 1984 Optical Society of America

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References

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  1. A. Hasegawa, Plasma Instabilities and Nonlinear Effects (Springer-Verlag, Berlin, 1975).
    [Crossref]
  2. L. F. Mollenauer, R. H. Stolen, J. P. Gordon, Phys. Rev. Lett. 45, 1095 (1980).
    [Crossref]
  3. Y. Yamota, T. Kimura, IEEE J. Quantum Electron. QE-17, 919 (1981).
    [Crossref]
  4. A. Hasegawa, W. F. Brinkman, IEEE J. Quantum Electron. QE-16, 694 (1980).
    [Crossref]
  5. D. Cotter, J. Opt. Commun. 4, 10 (1983).
    [Crossref]
  6. A. Hasegawa, Opt. Lett. 9, 288 (1984).
    [Crossref] [PubMed]

1984 (1)

1983 (1)

D. Cotter, J. Opt. Commun. 4, 10 (1983).
[Crossref]

1981 (1)

Y. Yamota, T. Kimura, IEEE J. Quantum Electron. QE-17, 919 (1981).
[Crossref]

1980 (2)

A. Hasegawa, W. F. Brinkman, IEEE J. Quantum Electron. QE-16, 694 (1980).
[Crossref]

L. F. Mollenauer, R. H. Stolen, J. P. Gordon, Phys. Rev. Lett. 45, 1095 (1980).
[Crossref]

Brinkman, W. F.

A. Hasegawa, W. F. Brinkman, IEEE J. Quantum Electron. QE-16, 694 (1980).
[Crossref]

Cotter, D.

D. Cotter, J. Opt. Commun. 4, 10 (1983).
[Crossref]

Gordon, J. P.

L. F. Mollenauer, R. H. Stolen, J. P. Gordon, Phys. Rev. Lett. 45, 1095 (1980).
[Crossref]

Hasegawa, A.

A. Hasegawa, Opt. Lett. 9, 288 (1984).
[Crossref] [PubMed]

A. Hasegawa, W. F. Brinkman, IEEE J. Quantum Electron. QE-16, 694 (1980).
[Crossref]

A. Hasegawa, Plasma Instabilities and Nonlinear Effects (Springer-Verlag, Berlin, 1975).
[Crossref]

Kimura, T.

Y. Yamota, T. Kimura, IEEE J. Quantum Electron. QE-17, 919 (1981).
[Crossref]

Mollenauer, L. F.

L. F. Mollenauer, R. H. Stolen, J. P. Gordon, Phys. Rev. Lett. 45, 1095 (1980).
[Crossref]

Stolen, R. H.

L. F. Mollenauer, R. H. Stolen, J. P. Gordon, Phys. Rev. Lett. 45, 1095 (1980).
[Crossref]

Yamota, Y.

Y. Yamota, T. Kimura, IEEE J. Quantum Electron. QE-17, 919 (1981).
[Crossref]

IEEE J. Quantum Electron. (2)

Y. Yamota, T. Kimura, IEEE J. Quantum Electron. QE-17, 919 (1981).
[Crossref]

A. Hasegawa, W. F. Brinkman, IEEE J. Quantum Electron. QE-16, 694 (1980).
[Crossref]

J. Opt. Commun. (1)

D. Cotter, J. Opt. Commun. 4, 10 (1983).
[Crossref]

Opt. Lett. (1)

Phys. Rev. Lett. (1)

L. F. Mollenauer, R. H. Stolen, J. P. Gordon, Phys. Rev. Lett. 45, 1095 (1980).
[Crossref]

Other (1)

A. Hasegawa, Plasma Instabilities and Nonlinear Effects (Springer-Verlag, Berlin, 1975).
[Crossref]

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Equations (21)

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i ( ψ x + γ ψ ) = α 2 ψ τ 2 + κ | ψ | 2 ψ ,
ψ = ψ 0 exp ( i Δ k x ) ,
Δ k = κ ψ 0 2
ψ ( x , τ ) = [ ψ 0 + ψ 1 ( x , τ ) ] exp ( i Δ k x ) ,
i ψ 1 x = α 2 ψ 1 τ 2 + κ ψ 0 2 ( ψ 1 + ψ 1 * ) .
υ x = α 2 u τ 2 + 2 κ ψ 0 2 u , u x = α 2 υ τ 2 .
K 2 = ( α Ω 2 ) 2 ( 1 2 κ α ψ 0 2 Ω 2 ) .
κ / α > 0 , Ω 2 Ω c 2 2 κ α ψ 0 2 .
max ( Im K ) = α Ω c 2 / 2 .
τ s 2 = 2 α κ ψ 0 2 2 × 10 8 n 0 n 2 | D | λ 0 3 I 0
Ω c = 2 / τ s .
L 1 max ( Im K ) = 2 ( α Ω c 2 ) 1 = τ s 2 2 α ,
L 0.48 τ s 2 λ 0 2 | D | ,
ψ = ψ 0 exp [ i 0 x Δ k ( x ) d x γ x ] ,
Δ k ( x ) = κ ψ 0 2 exp ( 2 γ x ) .
ψ ( x , τ ) = [ ψ 0 + ψ 1 ( x , τ ) ] exp ( i 0 x Δ k d x γ x ) ,
Im K ( x ) = α Ω 2 [ Ω c 2 ( x ) Ω 2 1 ] 1 / 2 ,
Ω 2 Ω c 2 ( x ) = Ω c 0 2 exp ( 2 γ x ) .
Λ ( x ) = 0 x Im K ( x ) d x = α Ω 2 γ [ ( Ω c 0 2 Ω 2 1 ) 1 / 2 arctan ( Ω c 0 2 Ω 2 1 ) 1 / 2 ] .
max Λ = ( 1 π 4 ) α Ω c 0 2 2 γ ,
α Ω c 0 2 / 2 γ > 5 .

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