Abstract

The stability of soliton transmission in the presence of loss and periodic amplification is studied when the pulses are closely separated. It is shown that stable transmission can be achieved when solitons are launched with unequal amplitudes to avoid mutual interaction.

© 1987 Optical Society of America

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References

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  1. A. Hasegawa, F. Tappert, Appl. Phys. Lett. 23, 142 (1973).
    [CrossRef]
  2. A. Hasegawa, Opt. Lett. 8, 650 (1983).
    [CrossRef] [PubMed]
  3. A. Hasegawa, Appl. Opt. 23, 3302 (1984).
    [CrossRef] [PubMed]
  4. L. F. Mollenauer, R. H. Stolen, M. N. Islam, Opt. Lett. 10, 229 (1985).
    [CrossRef] [PubMed]
  5. L. F. Mollenauer, J. P. Gordon, M. N. Islam, IEEE. J. Quantum Electron. 22, 157 (1986).
    [CrossRef]
  6. P. L. Chu, C. Desem, presented at the Fourth International Conference on Integrated Optics and Optical Fiber Communication, Tokyo, June 27–30, 1983.
  7. P. L. Chu, C. Desem, Electron. Lett. 21, 1133 (1985).
    [CrossRef]
  8. V. E. Zakharov, A. B. Shabat, Zh. Eksp. Topr. Fiz. 61, 118 (1971);Sov. Phys. JETP 34, 62 (1972).

1986 (1)

L. F. Mollenauer, J. P. Gordon, M. N. Islam, IEEE. J. Quantum Electron. 22, 157 (1986).
[CrossRef]

1985 (2)

1984 (1)

1983 (1)

1973 (1)

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

1971 (1)

V. E. Zakharov, A. B. Shabat, Zh. Eksp. Topr. Fiz. 61, 118 (1971);Sov. Phys. JETP 34, 62 (1972).

Chu, P. L.

P. L. Chu, C. Desem, Electron. Lett. 21, 1133 (1985).
[CrossRef]

P. L. Chu, C. Desem, presented at the Fourth International Conference on Integrated Optics and Optical Fiber Communication, Tokyo, June 27–30, 1983.

Desem, C.

P. L. Chu, C. Desem, Electron. Lett. 21, 1133 (1985).
[CrossRef]

P. L. Chu, C. Desem, presented at the Fourth International Conference on Integrated Optics and Optical Fiber Communication, Tokyo, June 27–30, 1983.

Gordon, J. P.

L. F. Mollenauer, J. P. Gordon, M. N. Islam, IEEE. J. Quantum Electron. 22, 157 (1986).
[CrossRef]

Hasegawa, A.

Islam, M. N.

L. F. Mollenauer, J. P. Gordon, M. N. Islam, IEEE. J. Quantum Electron. 22, 157 (1986).
[CrossRef]

L. F. Mollenauer, R. H. Stolen, M. N. Islam, Opt. Lett. 10, 229 (1985).
[CrossRef] [PubMed]

Mollenauer, L. F.

L. F. Mollenauer, J. P. Gordon, M. N. Islam, IEEE. J. Quantum Electron. 22, 157 (1986).
[CrossRef]

L. F. Mollenauer, R. H. Stolen, M. N. Islam, Opt. Lett. 10, 229 (1985).
[CrossRef] [PubMed]

Shabat, A. B.

V. E. Zakharov, A. B. Shabat, Zh. Eksp. Topr. Fiz. 61, 118 (1971);Sov. Phys. JETP 34, 62 (1972).

Stolen, R. H.

Tappert, F.

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

Zakharov, V. E.

V. E. Zakharov, A. B. Shabat, Zh. Eksp. Topr. Fiz. 61, 118 (1971);Sov. Phys. JETP 34, 62 (1972).

Appl. Opt. (1)

Appl. Phys. Lett. (1)

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

Electron. Lett. (1)

P. L. Chu, C. Desem, Electron. Lett. 21, 1133 (1985).
[CrossRef]

IEEE. J. Quantum Electron. (1)

L. F. Mollenauer, J. P. Gordon, M. N. Islam, IEEE. J. Quantum Electron. 22, 157 (1986).
[CrossRef]

Opt. Lett. (2)

Zh. Eksp. Topr. Fiz. (1)

V. E. Zakharov, A. B. Shabat, Zh. Eksp. Topr. Fiz. 61, 118 (1971);Sov. Phys. JETP 34, 62 (1972).

Other (1)

P. L. Chu, C. Desem, presented at the Fourth International Conference on Integrated Optics and Optical Fiber Communication, Tokyo, June 27–30, 1983.

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Figures (6)

Fig. 1
Fig. 1

The soliton distortion, D, as a function of the parameter L/z for two equal-amplitude solitons. Initial separation is 3 pw.

Fig. 2
Fig. 2

Soliton distortion as a function of L/z for two unequal-amplitude solitons. Initial separation is 3 pw; amplitude difference is 10%.

Fig. 3
Fig. 3

The imaginary part of the eigenvalues as a function of L/z.

Fig. 4
Fig. 4

Propagation of two unequal-amplitude solitons with L/z = 20. Initial separation is 3.6 pw; amplitude difference is 20%.

Fig. 5
Fig. 5

Propagation of two unequal-amplitude solitons with L/z = 8. Initial separation is 3.6 pw; amplitude difference is 20%.

Fig. 6
Fig. 6

Separation between the solitons with L/z = 2. Initial separation is 3.6 pw; amplitude difference is 20%. Curve a, Solitons propagating under the influence of loss and amplification; curve b, the lossless case.

Equations (3)

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q ( t , x ) = Q [ η 1 sech η 1 ( t + γ 0 ) + η 2 sech η 2 ( t γ 0 ) e i ψ ] exp ( i η 1 2 x / 2 ) ,
Q = [ ( η 2 2 η 1 2 ) ( η 1 2 + η 2 2 ) 2 η 1 η 2 ( tanh a 1 tanh a 2 sech a 1 sech a 2 cos ψ ) ] , a 1 , 2 = η 1 , 2 ( t ± γ 0 ) , ψ = ( η 2 2 η 1 2 ) x 2 ,
D = | q N q ( t , x ) | d t | q ( t , x ) | d t .

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