Abstract

The modulational instability of light waves in fibers with anomalous dispersion produces growth of initial sidebands generated in coherent transmission systems. Since the growth rate is proportional to the carrier intensity, the repeated amplification of the carrier degrades the signal-to-noise ratio in proportion to the product of the number of amplifications and the initial carrier intensity. With nominal parameters in a system of a few milliwatts of power, the e folding distance of the signal-to-noise ratio becomes of the order of a few hundred kilometers.

© 1989 Optical Society of America

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References

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  1. A. Hasegawa, W. F. Brinkman, IEEE J. Quantum Electron. QE-16, 694 (1980).
    [CrossRef]
  2. K. Tai, A. Hasegawa, A. Tomita, Phys. Rev. Lett. 59, 135 (1986).
    [CrossRef]
  3. A. Hasegawa, Opt. Lett. 9, 288 (1984).
    [CrossRef] [PubMed]
  4. K. Tai, A. Tomita, J. L. Jewell, A. Hasegawa, Appl. Phys. Lett. 49, 236 (1986).
    [CrossRef]
  5. R. A. Link, A. H. Gnauck, “High-capacity coherent lightwave systems,” IEEE J. Lightwave Technol. (to be published).
  6. D. Anderson, M. Lisak, Opt. Lett. 9, 463 (1984).
    [CrossRef]
  7. B. Hermansson, D. Yevick, Opt. Commun. 52, 99 (1984).
    [CrossRef]
  8. K. Tajima, IEEE J. Lightwave Technol. LT-4, 900 (1986).
    [CrossRef]
  9. F. M. Mitschke, L. F. Mollenauer, Opt. Lett. 11, 659 (1986).
    [CrossRef] [PubMed]
  10. J. P. Gordon, Opt. Lett. 11, 662 (1986).
    [CrossRef] [PubMed]
  11. Y. Kodama, A. Hasegawa, IEEE J. Quantum Electron. QE-23, 510 (1987).
    [CrossRef]
  12. K. Tai, A. Hasegawa, N. Bekki, Opt. Lett. 13, 392 (1988).
    [CrossRef] [PubMed]
  13. A. Hasegawa, Appl. Opt. 23, 3302 (1984).
    [CrossRef] [PubMed]
  14. L. F. Mollenauer, K. Smith, Opt. Lett. 13, 675 (1988).
    [CrossRef] [PubMed]

1988 (2)

1987 (1)

Y. Kodama, A. Hasegawa, IEEE J. Quantum Electron. QE-23, 510 (1987).
[CrossRef]

1986 (5)

K. Tajima, IEEE J. Lightwave Technol. LT-4, 900 (1986).
[CrossRef]

F. M. Mitschke, L. F. Mollenauer, Opt. Lett. 11, 659 (1986).
[CrossRef] [PubMed]

J. P. Gordon, Opt. Lett. 11, 662 (1986).
[CrossRef] [PubMed]

K. Tai, A. Hasegawa, A. Tomita, Phys. Rev. Lett. 59, 135 (1986).
[CrossRef]

K. Tai, A. Tomita, J. L. Jewell, A. Hasegawa, Appl. Phys. Lett. 49, 236 (1986).
[CrossRef]

1984 (4)

1980 (1)

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

Anderson, D.

Bekki, N.

Brinkman, W. F.

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

Gnauck, A. H.

R. A. Link, A. H. Gnauck, “High-capacity coherent lightwave systems,” IEEE J. Lightwave Technol. (to be published).

Gordon, J. P.

Hasegawa, A.

K. Tai, A. Hasegawa, N. Bekki, Opt. Lett. 13, 392 (1988).
[CrossRef] [PubMed]

Y. Kodama, A. Hasegawa, IEEE J. Quantum Electron. QE-23, 510 (1987).
[CrossRef]

K. Tai, A. Tomita, J. L. Jewell, A. Hasegawa, Appl. Phys. Lett. 49, 236 (1986).
[CrossRef]

K. Tai, A. Hasegawa, A. Tomita, Phys. Rev. Lett. 59, 135 (1986).
[CrossRef]

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

A. Hasegawa, Appl. Opt. 23, 3302 (1984).
[CrossRef] [PubMed]

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

Hermansson, B.

B. Hermansson, D. Yevick, Opt. Commun. 52, 99 (1984).
[CrossRef]

Jewell, J. L.

K. Tai, A. Tomita, J. L. Jewell, A. Hasegawa, Appl. Phys. Lett. 49, 236 (1986).
[CrossRef]

Kodama, Y.

Y. Kodama, A. Hasegawa, IEEE J. Quantum Electron. QE-23, 510 (1987).
[CrossRef]

Link, R. A.

R. A. Link, A. H. Gnauck, “High-capacity coherent lightwave systems,” IEEE J. Lightwave Technol. (to be published).

Lisak, M.

Mitschke, F. M.

Mollenauer, L. F.

Smith, K.

Tai, K.

K. Tai, A. Hasegawa, N. Bekki, Opt. Lett. 13, 392 (1988).
[CrossRef] [PubMed]

K. Tai, A. Tomita, J. L. Jewell, A. Hasegawa, Appl. Phys. Lett. 49, 236 (1986).
[CrossRef]

K. Tai, A. Hasegawa, A. Tomita, Phys. Rev. Lett. 59, 135 (1986).
[CrossRef]

Tajima, K.

K. Tajima, IEEE J. Lightwave Technol. LT-4, 900 (1986).
[CrossRef]

Tomita, A.

K. Tai, A. Hasegawa, A. Tomita, Phys. Rev. Lett. 59, 135 (1986).
[CrossRef]

K. Tai, A. Tomita, J. L. Jewell, A. Hasegawa, Appl. Phys. Lett. 49, 236 (1986).
[CrossRef]

Yevick, D.

B. Hermansson, D. Yevick, Opt. Commun. 52, 99 (1984).
[CrossRef]

Appl. Opt. (1)

Appl. Phys. Lett. (1)

K. Tai, A. Tomita, J. L. Jewell, A. Hasegawa, Appl. Phys. Lett. 49, 236 (1986).
[CrossRef]

IEEE J. Lightwave Technol. (1)

K. Tajima, IEEE J. Lightwave Technol. LT-4, 900 (1986).
[CrossRef]

IEEE J. Quantum Electron. (2)

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

Y. Kodama, A. Hasegawa, IEEE J. Quantum Electron. QE-23, 510 (1987).
[CrossRef]

Opt. Commun. (1)

B. Hermansson, D. Yevick, Opt. Commun. 52, 99 (1984).
[CrossRef]

Opt. Lett. (6)

Phys. Rev. Lett. (1)

K. Tai, A. Hasegawa, A. Tomita, Phys. Rev. Lett. 59, 135 (1986).
[CrossRef]

Other (1)

R. A. Link, A. H. Gnauck, “High-capacity coherent lightwave systems,” IEEE J. Lightwave Technol. (to be published).

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Figures (2)

Fig. 1
Fig. 1

Plot of f(R), which is defined in Eq. (3).

Fig. 2
Fig. 2

Numerical simulation of a periodically modulated light wave propagating in a lossless optical fiber showing power and phase. The initial modulation at z = 0 km (the solid curves) is only in the phase of the complex electric field with a modulation frequency of 3.4 GHz. The output at z = 125 km is shown by the dashed curves. The input power is 3 mW.

Equations (5)

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R = 1.1 × 10 - 4 f 2 S P ( - λ 3 D ) ,
I = 1.6 P S λ δ ,
G = I R [ ( 1 - R 4 ) 1 / 2 - R 2 tan - 1 ( 4 R - 1 ) 1 / 2 ] I f ( R ) ,
β q T q 2 ,
Γ R = β ρ 0 Ω 2 ( 4 ρ 0 + Ω 2 ) 1 / 2 - Γ .

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