Abstract

We derive analytical conditions for compensation of the distortion of nonreturn-to-zero pulses in a nonlinear dispersive fiber link with nonlinear gain control. We confirm the validity of the method by means of numerical simulations.

© 1996 Optical Society of America

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References

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  1. H. Taga, N. Edagawa, S. Yamamoto, S. Akiba, J. Lightwave Technol. 13, 829 (1995).
    [CrossRef]
  2. N. S. Bergano, C. R. Davidson, J. Lightwave Technol. 13, 879 (1995).
    [CrossRef]
  3. D. Marcuse, J. Lightwave Technol. 9, 356 (1991).
    [CrossRef]
  4. Y. Kodama, S. Wabnitz, Opt. Lett. 20, 2291 (1995).
    [CrossRef] [PubMed]
  5. K. Tanaka, A. Maruta, Y. Kodama, A. Hasegawa, Department of Communication Engineering, Faculty of Engineering, Osaka University, Osaka 565, Japan (personal communication, 1995).
  6. Y. Kodama, S. Wabnitz, Electron. Lett. 31, 1761 (1995).
    [CrossRef]
  7. Y. Kodama, M. Romagnoli, S. Wabnitz, Electron. Lett. 28, 1981 (1992).
  8. F. M. Knoz, P. Harper, P. N. Kean, N. J. Doran, I. Bennion, Electron. Lett. 31, 1467 (1995).
    [CrossRef]
  9. M. Matsumoto, H. Ikeda, A. Hasegawa, Opt. Lett. 19, 183 (1994).
    [CrossRef] [PubMed]
  10. D. Atkinson, W. H. Loh, V. V. Afanasjev, A. B. Grudinin, D. N. Payne, Opt. Lett. 19, 1514 (1994).
    [CrossRef] [PubMed]
  11. G. B. Whitman, Linear and Nonlinear Waves (Wiley, New York, 1974), p. 113.

1995 (5)

H. Taga, N. Edagawa, S. Yamamoto, S. Akiba, J. Lightwave Technol. 13, 829 (1995).
[CrossRef]

N. S. Bergano, C. R. Davidson, J. Lightwave Technol. 13, 879 (1995).
[CrossRef]

Y. Kodama, S. Wabnitz, Electron. Lett. 31, 1761 (1995).
[CrossRef]

F. M. Knoz, P. Harper, P. N. Kean, N. J. Doran, I. Bennion, Electron. Lett. 31, 1467 (1995).
[CrossRef]

Y. Kodama, S. Wabnitz, Opt. Lett. 20, 2291 (1995).
[CrossRef] [PubMed]

1994 (2)

1992 (1)

Y. Kodama, M. Romagnoli, S. Wabnitz, Electron. Lett. 28, 1981 (1992).

1991 (1)

D. Marcuse, J. Lightwave Technol. 9, 356 (1991).
[CrossRef]

Afanasjev, V. V.

Akiba, S.

H. Taga, N. Edagawa, S. Yamamoto, S. Akiba, J. Lightwave Technol. 13, 829 (1995).
[CrossRef]

Atkinson, D.

Bennion, I.

F. M. Knoz, P. Harper, P. N. Kean, N. J. Doran, I. Bennion, Electron. Lett. 31, 1467 (1995).
[CrossRef]

Bergano, N. S.

N. S. Bergano, C. R. Davidson, J. Lightwave Technol. 13, 879 (1995).
[CrossRef]

Davidson, C. R.

N. S. Bergano, C. R. Davidson, J. Lightwave Technol. 13, 879 (1995).
[CrossRef]

Doran, N. J.

F. M. Knoz, P. Harper, P. N. Kean, N. J. Doran, I. Bennion, Electron. Lett. 31, 1467 (1995).
[CrossRef]

Edagawa, N.

H. Taga, N. Edagawa, S. Yamamoto, S. Akiba, J. Lightwave Technol. 13, 829 (1995).
[CrossRef]

Grudinin, A. B.

Harper, P.

F. M. Knoz, P. Harper, P. N. Kean, N. J. Doran, I. Bennion, Electron. Lett. 31, 1467 (1995).
[CrossRef]

Hasegawa, A.

M. Matsumoto, H. Ikeda, A. Hasegawa, Opt. Lett. 19, 183 (1994).
[CrossRef] [PubMed]

K. Tanaka, A. Maruta, Y. Kodama, A. Hasegawa, Department of Communication Engineering, Faculty of Engineering, Osaka University, Osaka 565, Japan (personal communication, 1995).

Ikeda, H.

Kean, P. N.

F. M. Knoz, P. Harper, P. N. Kean, N. J. Doran, I. Bennion, Electron. Lett. 31, 1467 (1995).
[CrossRef]

Knoz, F. M.

F. M. Knoz, P. Harper, P. N. Kean, N. J. Doran, I. Bennion, Electron. Lett. 31, 1467 (1995).
[CrossRef]

Kodama, Y.

Y. Kodama, S. Wabnitz, Opt. Lett. 20, 2291 (1995).
[CrossRef] [PubMed]

Y. Kodama, S. Wabnitz, Electron. Lett. 31, 1761 (1995).
[CrossRef]

Y. Kodama, M. Romagnoli, S. Wabnitz, Electron. Lett. 28, 1981 (1992).

K. Tanaka, A. Maruta, Y. Kodama, A. Hasegawa, Department of Communication Engineering, Faculty of Engineering, Osaka University, Osaka 565, Japan (personal communication, 1995).

Loh, W. H.

Marcuse, D.

D. Marcuse, J. Lightwave Technol. 9, 356 (1991).
[CrossRef]

Maruta, A.

K. Tanaka, A. Maruta, Y. Kodama, A. Hasegawa, Department of Communication Engineering, Faculty of Engineering, Osaka University, Osaka 565, Japan (personal communication, 1995).

Matsumoto, M.

Payne, D. N.

Romagnoli, M.

Y. Kodama, M. Romagnoli, S. Wabnitz, Electron. Lett. 28, 1981 (1992).

Taga, H.

H. Taga, N. Edagawa, S. Yamamoto, S. Akiba, J. Lightwave Technol. 13, 829 (1995).
[CrossRef]

Tanaka, K.

K. Tanaka, A. Maruta, Y. Kodama, A. Hasegawa, Department of Communication Engineering, Faculty of Engineering, Osaka University, Osaka 565, Japan (personal communication, 1995).

Wabnitz, S.

Y. Kodama, S. Wabnitz, Electron. Lett. 31, 1761 (1995).
[CrossRef]

Y. Kodama, S. Wabnitz, Opt. Lett. 20, 2291 (1995).
[CrossRef] [PubMed]

Y. Kodama, M. Romagnoli, S. Wabnitz, Electron. Lett. 28, 1981 (1992).

Whitman, G. B.

G. B. Whitman, Linear and Nonlinear Waves (Wiley, New York, 1974), p. 113.

Yamamoto, S.

H. Taga, N. Edagawa, S. Yamamoto, S. Akiba, J. Lightwave Technol. 13, 829 (1995).
[CrossRef]

Electron. Lett. (3)

Y. Kodama, S. Wabnitz, Electron. Lett. 31, 1761 (1995).
[CrossRef]

Y. Kodama, M. Romagnoli, S. Wabnitz, Electron. Lett. 28, 1981 (1992).

F. M. Knoz, P. Harper, P. N. Kean, N. J. Doran, I. Bennion, Electron. Lett. 31, 1467 (1995).
[CrossRef]

J. Lightwave Technol. (3)

H. Taga, N. Edagawa, S. Yamamoto, S. Akiba, J. Lightwave Technol. 13, 829 (1995).
[CrossRef]

N. S. Bergano, C. R. Davidson, J. Lightwave Technol. 13, 879 (1995).
[CrossRef]

D. Marcuse, J. Lightwave Technol. 9, 356 (1991).
[CrossRef]

Opt. Lett. (3)

Other (2)

K. Tanaka, A. Maruta, Y. Kodama, A. Hasegawa, Department of Communication Engineering, Faculty of Engineering, Osaka University, Osaka 565, Japan (personal communication, 1995).

G. B. Whitman, Linear and Nonlinear Waves (Wiley, New York, 1974), p. 113.

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Figures (3)

Fig. 1
Fig. 1

Input pulse (dashed curves), analytical [Eqs. (5), dotted–dashed curves], and numerical (solid curves) output pulse (a) without and (b) with nonlinear gain.

Fig. 2
Fig. 2

Same as in Fig. 1 but with third-order dispersion.

Fig. 3
Fig. 3

Same as in Fig. 2(b) but with lumped linear and nonlinear gain.

Equations (7)

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i q Z - β 2 2 2 q T 2 - i β 3 3 3 q T 3 + q 2 q = i δ q + i γ 1 q 2 q + i γ 2 q 4 q .
q ( T , Z ) = ρ ( T , Z ) exp [ i T u ( T , Z ) d T ] ,
Z ( ρ u ) = [ ( β 2 - β 3 u ) u ( β 2 - 2 β 3 u ) ρ 1 ( β 2 - β 3 u ) u ] T ( ρ u ) + 2 ( δ ρ + γ 1 ρ 2 + γ 2 ρ 3 0 ) .
ρ / Z 2 ( δ ρ + γ 1 ρ 2 + γ 2 ρ 3 ) 2 f ( ρ ) .
ρ ( T , Z ) = 0 ,             for  T > T p 1 ( Z ) , ρ ( T , Z ) = min { ρ 0 , 1 9 ( 2 ρ 0 - T - T p β 2 Z ) 2 } , for 0 < T < T p 1 ( Z ) ,
γ 1 = - δ ρ 0 + ρ * ρ 0 ρ * , γ 2 = δ ρ 0 ρ * .
q s ( T ) ρ 0 exp [ - 1 2 ( T T s ) 2 n ] ,

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