Abstract

Based on the first-order perturbation theory, we introduce the power-weighted dispersion distribution (PWDD) function to characterize nonlinear properties of fiber-optic transmission links. This technique offers a new perspective on dispersion management for pseudolinear transmission. A rectangular PWDD model is used to describe the formation of ghost pulses analytically in the time domain without relying on the assumption that the pulse shape is Gaussian.

© 2006 Optical Society of America

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References

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2006

2005

S. Kumar and D. Yang, J. Lightwave Technol. 23, 2073 (2005).
[CrossRef]

H. Louchet, A. Hodzic, K. Petermann, A. Robinson, and R. Epworth, IEEE Photon. Technol. Lett. 17, 2089 (2005).
[CrossRef]

2003

2002

2001

P. Johannisson, D. Anderson, A. Berntson, and J. Mårtensson, Opt. Lett. 26, 1227 (2001).
[CrossRef]

A. Mecozzi, C. B. Clausen, M. Shtaif, S.-G. Park, and A. H. Gnauck, IEEE Photon. Technol. Lett. 13, 445 (2001).
[CrossRef]

2000

A. Mecozzi, C. B. Clausen, and M. Shtaif, IEEE Photon. Technol. Lett. 12, 392 (2000).
[CrossRef]

G. Bosco, A. Carena, V. Curri, R. Gaudino, P. Poggiolini, and S. Benedetto, IEEE Photon. Technol. Lett. 12, 489 (2000).
[CrossRef]

A. Mecozzi, C. B. Clausen, and M. Shtaif, IEEE Photon. Technol. Lett. 12, 1633 (2000).
[CrossRef]

R. I. Killey, H. J. Thiele, V. Mikhailov, and P. Bayvel, IEEE Photon. Technol. Lett. 12, 1624 (2000).
[CrossRef]

M. J. Ablowitz and T. Hirooka, Opt. Lett. 25, 1750 (2000).
[CrossRef]

1998

1996

Ablowitz, M. J.

Anderson, D.

Bayvel, P.

R. I. Killey, H. J. Thiele, V. Mikhailov, and P. Bayvel, IEEE Photon. Technol. Lett. 12, 1624 (2000).
[CrossRef]

Benedetto, S.

G. Bosco, A. Carena, V. Curri, R. Gaudino, P. Poggiolini, and S. Benedetto, IEEE Photon. Technol. Lett. 12, 489 (2000).
[CrossRef]

Berntson, A.

Biondini, G.

Bosco, G.

G. Bosco, A. Carena, V. Curri, R. Gaudino, P. Poggiolini, and S. Benedetto, IEEE Photon. Technol. Lett. 12, 489 (2000).
[CrossRef]

Carena, A.

G. Bosco, A. Carena, V. Curri, R. Gaudino, P. Poggiolini, and S. Benedetto, IEEE Photon. Technol. Lett. 12, 489 (2000).
[CrossRef]

Clausen, C. B.

A. Mecozzi, C. B. Clausen, M. Shtaif, S.-G. Park, and A. H. Gnauck, IEEE Photon. Technol. Lett. 13, 445 (2001).
[CrossRef]

A. Mecozzi, C. B. Clausen, and M. Shtaif, IEEE Photon. Technol. Lett. 12, 1633 (2000).
[CrossRef]

A. Mecozzi, C. B. Clausen, and M. Shtaif, IEEE Photon. Technol. Lett. 12, 392 (2000).
[CrossRef]

Curri, V.

G. Bosco, A. Carena, V. Curri, R. Gaudino, P. Poggiolini, and S. Benedetto, IEEE Photon. Technol. Lett. 12, 489 (2000).
[CrossRef]

Epworth, R.

H. Louchet, A. Hodzic, K. Petermann, A. Robinson, and R. Epworth, IEEE Photon. Technol. Lett. 17, 2089 (2005).
[CrossRef]

Essiambre, R.-J.

R.-J. Essiambre, G. Raybon, and B. Mikkelsen, in Optical Fiber Telecommunications IV B, I.P.Kaminow and T.Li, eds. (Academic, 2002), pp. 232-304.

Gabitov, I. R.

Gaudino, R.

G. Bosco, A. Carena, V. Curri, R. Gaudino, P. Poggiolini, and S. Benedetto, IEEE Photon. Technol. Lett. 12, 489 (2000).
[CrossRef]

Gnauck, A. H.

A. Mecozzi, C. B. Clausen, M. Shtaif, S.-G. Park, and A. H. Gnauck, IEEE Photon. Technol. Lett. 13, 445 (2001).
[CrossRef]

Hirooka, T.

Hodzic, A.

H. Louchet, A. Hodzic, K. Petermann, A. Robinson, and R. Epworth, IEEE Photon. Technol. Lett. 17, 2089 (2005).
[CrossRef]

Johannisson, P.

Killey, R. I.

R. I. Killey, H. J. Thiele, V. Mikhailov, and P. Bayvel, IEEE Photon. Technol. Lett. 12, 1624 (2000).
[CrossRef]

Kumar, S.

Liu, X.

Louchet, H.

H. Louchet, A. Hodzic, K. Petermann, A. Robinson, and R. Epworth, IEEE Photon. Technol. Lett. 17, 2089 (2005).
[CrossRef]

Mårtensson, J.

McKinstrie, C. J.

Mecozzi, A.

A. Mecozzi, C. B. Clausen, M. Shtaif, S.-G. Park, and A. H. Gnauck, IEEE Photon. Technol. Lett. 13, 445 (2001).
[CrossRef]

A. Mecozzi, C. B. Clausen, and M. Shtaif, IEEE Photon. Technol. Lett. 12, 1633 (2000).
[CrossRef]

A. Mecozzi, C. B. Clausen, and M. Shtaif, IEEE Photon. Technol. Lett. 12, 392 (2000).
[CrossRef]

Mikhailov, V.

R. I. Killey, H. J. Thiele, V. Mikhailov, and P. Bayvel, IEEE Photon. Technol. Lett. 12, 1624 (2000).
[CrossRef]

Mikkelsen, B.

R.-J. Essiambre, G. Raybon, and B. Mikkelsen, in Optical Fiber Telecommunications IV B, I.P.Kaminow and T.Li, eds. (Academic, 2002), pp. 232-304.

Mitra, P.

Narimanov, E.

Park, S.-G.

A. Mecozzi, C. B. Clausen, M. Shtaif, S.-G. Park, and A. H. Gnauck, IEEE Photon. Technol. Lett. 13, 445 (2001).
[CrossRef]

Petermann, K.

H. Louchet, A. Hodzic, K. Petermann, A. Robinson, and R. Epworth, IEEE Photon. Technol. Lett. 17, 2089 (2005).
[CrossRef]

Poggiolini, P.

G. Bosco, A. Carena, V. Curri, R. Gaudino, P. Poggiolini, and S. Benedetto, IEEE Photon. Technol. Lett. 12, 489 (2000).
[CrossRef]

Raybon, G.

R.-J. Essiambre, G. Raybon, and B. Mikkelsen, in Optical Fiber Telecommunications IV B, I.P.Kaminow and T.Li, eds. (Academic, 2002), pp. 232-304.

Robinson, A.

H. Louchet, A. Hodzic, K. Petermann, A. Robinson, and R. Epworth, IEEE Photon. Technol. Lett. 17, 2089 (2005).
[CrossRef]

Shtaif, M.

A. Mecozzi, C. B. Clausen, M. Shtaif, S.-G. Park, and A. H. Gnauck, IEEE Photon. Technol. Lett. 13, 445 (2001).
[CrossRef]

A. Mecozzi, C. B. Clausen, and M. Shtaif, IEEE Photon. Technol. Lett. 12, 1633 (2000).
[CrossRef]

A. Mecozzi, C. B. Clausen, and M. Shtaif, IEEE Photon. Technol. Lett. 12, 392 (2000).
[CrossRef]

Simon, S. H.

Thiele, H. J.

R. I. Killey, H. J. Thiele, V. Mikhailov, and P. Bayvel, IEEE Photon. Technol. Lett. 12, 1624 (2000).
[CrossRef]

Turitsyn, S. K.

Wei, X.

Yang, D.

IEEE Photon. Technol. Lett.

H. Louchet, A. Hodzic, K. Petermann, A. Robinson, and R. Epworth, IEEE Photon. Technol. Lett. 17, 2089 (2005).
[CrossRef]

A. Mecozzi, C. B. Clausen, and M. Shtaif, IEEE Photon. Technol. Lett. 12, 1633 (2000).
[CrossRef]

R. I. Killey, H. J. Thiele, V. Mikhailov, and P. Bayvel, IEEE Photon. Technol. Lett. 12, 1624 (2000).
[CrossRef]

A. Mecozzi, C. B. Clausen, M. Shtaif, S.-G. Park, and A. H. Gnauck, IEEE Photon. Technol. Lett. 13, 445 (2001).
[CrossRef]

A. Mecozzi, C. B. Clausen, and M. Shtaif, IEEE Photon. Technol. Lett. 12, 392 (2000).
[CrossRef]

G. Bosco, A. Carena, V. Curri, R. Gaudino, P. Poggiolini, and S. Benedetto, IEEE Photon. Technol. Lett. 12, 489 (2000).
[CrossRef]

J. Lightwave Technol.

Opt. Lett.

Other

R.-J. Essiambre, G. Raybon, and B. Mikkelsen, in Optical Fiber Telecommunications IV B, I.P.Kaminow and T.Li, eds. (Academic, 2002), pp. 232-304.

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Figures (2)

Fig. 1
Fig. 1

Example of a multiple-span transmission system. (a) Power profile, (b) cumulative dispersion, and (c) power-weighted dispersion distribution (PWDD). The contributions from a few individual spans are also shown in (c).

Fig. 2
Fig. 2

(a) PWDD function J ( C ) and (b) real and imaginary parts of the nonlinear transfer function η ( ξ ) . The dashed curves correspond to the rectangular PWDD model.

Equations (11)

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[ z + i 2 β ( z ) 2 t 2 + α ( z ) g ( z ) 2 ] A ( z , t ) = i γ A ( z , t ) 2 A ( z , t ) ,
A ̃ ( z , ω ) = P 0 exp [ G ( z ) + i C ( z ) ω 2 2 ] u ̃ ( 0 ) ( ω ) ,
A ̃ ( z , ω ) = P 0 exp [ G ( z ) + i C ( z ) ω 2 2 ] × [ u ̃ ( 0 ) ( ω ) + u ̃ ( 1 ) ( z , ω ) ] .
u ̃ ( 1 ) ( L , ω ) = i γ P 0 L eff + d ω 1 + d ω 2 η ( ω 1 ω 2 ) u ̃ ( 0 ) ( ω + ω 1 ) u ̃ ( 0 ) ( ω + ω 2 ) u ̃ ( 0 ) * ( ω + ω 1 + ω 2 ) ,
η ( ξ ) = 1 L eff 0 L exp [ G ( z ) i ξ C ( z ) ] d z ,
J ( C ) = 1 L eff n exp { G [ z n ( C ) ] } d z n ( C ) d C ,
η ( ξ ) = + J ( C ) exp ( i ξ C ) d C .
u ( 1 ) ( L , t ) = i γ P 0 L eff + d t 1 + d t 2 h ( t 1 t 2 ) u ( 0 ) ( t + t 1 ) u ( 0 ) ( t + t 2 ) u ( 0 ) * ( t + t 1 + t 2 ) ,
h ( t 1 t 2 ) = + J ( C ) C exp ( i t 1 t 2 C ) d C .
p 1 + 2 3 ( 1 ) ( L , t ) = i γ P 0 L eff + d t 1 + d t 2 h ( t 1 t 2 ) p ( 0 ) ( t T 1 + t 1 ) p ( 0 ) ( t T 2 + t 2 ) p ( 0 ) * ( t T 3 + t 1 + t 2 ) .
h [ ( T 1 T 3 ) ( T 2 T 3 ) ] = 1 β L E 1 [ i ( T 1 T 3 ) ( T 2 T 3 ) β L ] ,

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