Abstract

The modulational instability of a cw optical signal in a glass fiber combined with an externally applied amplitude modulation can be utilized to produce a train of optical solitons with a wide range of pulse width (50–1 psec) and repetition period (≲250 psec).

© 1984 Optical Society of America

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References

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  1. R. C. Alferness, IEEE Trans. Microwave Theory Tech. MTT-30, 1121 (1982).
    [CrossRef]
  2. V. I. Karpman, Zh. Eksp. Teor. Fiz. Pis’ma Red. 6, 829 (1967).
  3. A. Hasegawa, W. F. Brinkman, IEEE J. Quantum Electron. QE-16, 694 (1980).
    [CrossRef]
  4. A. Hasegawa, Phys. Fluids 15, 870 (1972).
    [CrossRef]
  5. E. R. Tracy, H. H. Chen, Y. C. Lee (submitted to Phys. Rev. Lett.).
  6. A. Hasegawa, F. Tappert, Appl. Phys. Lett. 23, 142 (1973).
    [CrossRef]
  7. A. Hasegawa, Y. Kodama, Proc. IEEE 69, 1145 (1981).
    [CrossRef]
  8. L. F. Mollenauer, R. H. Stolen, J. P. Gordan, W. J. Tomlinson, Opt. Lett. 8, 289 (1983).
    [CrossRef] [PubMed]
  9. R. H. Stolen, J. Botineau, A. Ashkin, Opt. Lett. 7, 512 (1982).
    [CrossRef] [PubMed]
  10. A. Hasegawa, Opt. Lett. 8, 650 (1983).
    [CrossRef] [PubMed]

1983 (2)

1982 (2)

R. H. Stolen, J. Botineau, A. Ashkin, Opt. Lett. 7, 512 (1982).
[CrossRef] [PubMed]

R. C. Alferness, IEEE Trans. Microwave Theory Tech. MTT-30, 1121 (1982).
[CrossRef]

1981 (1)

A. Hasegawa, Y. Kodama, Proc. IEEE 69, 1145 (1981).
[CrossRef]

1980 (1)

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

1973 (1)

A. Hasegawa, F. Tappert, Appl. Phys. Lett. 23, 142 (1973).
[CrossRef]

1972 (1)

A. Hasegawa, Phys. Fluids 15, 870 (1972).
[CrossRef]

1967 (1)

V. I. Karpman, Zh. Eksp. Teor. Fiz. Pis’ma Red. 6, 829 (1967).

Alferness, R. C.

R. C. Alferness, IEEE Trans. Microwave Theory Tech. MTT-30, 1121 (1982).
[CrossRef]

Ashkin, A.

Botineau, J.

Brinkman, W. F.

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

Chen, H. H.

E. R. Tracy, H. H. Chen, Y. C. Lee (submitted to Phys. Rev. Lett.).

Gordan, J. P.

Hasegawa, A.

A. Hasegawa, Opt. Lett. 8, 650 (1983).
[CrossRef] [PubMed]

A. Hasegawa, Y. Kodama, Proc. IEEE 69, 1145 (1981).
[CrossRef]

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

A. Hasegawa, F. Tappert, Appl. Phys. Lett. 23, 142 (1973).
[CrossRef]

A. Hasegawa, Phys. Fluids 15, 870 (1972).
[CrossRef]

Karpman, V. I.

V. I. Karpman, Zh. Eksp. Teor. Fiz. Pis’ma Red. 6, 829 (1967).

Kodama, Y.

A. Hasegawa, Y. Kodama, Proc. IEEE 69, 1145 (1981).
[CrossRef]

Lee, Y. C.

E. R. Tracy, H. H. Chen, Y. C. Lee (submitted to Phys. Rev. Lett.).

Mollenauer, L. F.

Stolen, R. H.

Tappert, F.

A. Hasegawa, F. Tappert, Appl. Phys. Lett. 23, 142 (1973).
[CrossRef]

Tomlinson, W. J.

Tracy, E. R.

E. R. Tracy, H. H. Chen, Y. C. Lee (submitted to Phys. Rev. Lett.).

Appl. Phys. Lett. (1)

A. Hasegawa, F. Tappert, Appl. Phys. Lett. 23, 142 (1973).
[CrossRef]

IEEE J. Quantum Electron. (1)

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

IEEE Trans. Microwave Theory Tech. (1)

R. C. Alferness, IEEE Trans. Microwave Theory Tech. MTT-30, 1121 (1982).
[CrossRef]

Opt. Lett. (3)

Phys. Fluids (1)

A. Hasegawa, Phys. Fluids 15, 870 (1972).
[CrossRef]

Proc. IEEE (1)

A. Hasegawa, Y. Kodama, Proc. IEEE 69, 1145 (1981).
[CrossRef]

Zh. Eksp. Teor. Fiz. Pis’ma Red. (1)

V. I. Karpman, Zh. Eksp. Teor. Fiz. Pis’ma Red. 6, 829 (1967).

Other (1)

E. R. Tracy, H. H. Chen, Y. C. Lee (submitted to Phys. Rev. Lett.).

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Figures (3)

Fig. 1
Fig. 1

Profiles of modulation envelope |q| at (a) ξ = 0, (b) ξ = 1.27, and (c) ξ = 1.74. For nominal values of parameters shown in the text, |q| = 1 corresponds to 106 mW of power; the period of τ = 48 (the entire length of the horizontal axis) corresponds to 130 psec. (b), (c) Profiles at 2- and 2.7-km distances.

Fig. 2
Fig. 2

|q(1.61, τ)| for AM = 0.5 and τM = 8.

Fig. 3
Fig. 3

|q(6.45, τ)| for AM = 0.2 and τM = 24.

Tables (1)

Tables Icon

Table 1 Distance ξM at Which the Peaked Structure Appears and Ratio of the Maximum and Base Values of |q| for Various Values of Initial Depths AM and Period τM of Modulationa

Equations (8)

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i q ξ + 1 2 2 q τ 2 + | q | 2 q = i Γ q ,
ξ = 10 9 x / λ ,
τ = 10 4 . 5 ( λ k ) 1 / 2 ( t x u g ) ,
q = 10 4 . 5 ( π n 2 ) 1 / 2 ϕ ,
Γ = 10 9 λ γ ,
k = k ω = n c ( 1 λ n n λ ) ,
k = 2 k ω 2 = λ 2 π c 2 ( λ 2 2 n δ λ 2 ) .
q ( 0 , τ ) = 1 + A M sin ( 2 π τ τ M )

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