Abstract

Periodic-group-delay (PGD) dispersion-compensation modules were recently proposed as mechanisms to alleviate collision-induced timing shifts in dispersion-managed (DM) systems. Frequency and timing shifts in quasi-linear DM systems with PGDs were obtained, and it is shown that significant reductions are achieved when even a small fraction of the total dispersion is compensated for by PGDs.

© 2004 Optical Society of America

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References

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2003 (5)

2001 (2)

1999 (1)

M. J. Ablowitz, G. Biondini, S. Chakravarty, and R. Horne, Opt. Commun. 172, 211 (1999).
[CrossRef]

1998 (2)

C. K. Madsen and G. Lenz, IEEE Photon. Technol. Lett. 10, 994 (1998).
[CrossRef]

M. J. Ablowitz and G. Biondini, Opt. Lett. 23, 1668 (1998).
[CrossRef]

1997 (1)

M. Shirasaki, IEEE Photon. Technol. Lett. 9, 1598 (1997).
[CrossRef]

Ablowitz, M.

Ablowitz, M. J.

Biondini, G.

Byron, K.

Chakravarty, S.

M. J. Ablowitz, G. Biondini, S. Chakravarty, and R. Horne, Opt. Commun. 172, 211 (1999).
[CrossRef]

Docherty, A.

Grant, A.

Hirooka, T.

Horne, R.

M. J. Ablowitz, G. Biondini, S. Chakravarty, and R. Horne, Opt. Commun. 172, 211 (1999).
[CrossRef]

Lenz, G.

C. K. Madsen and G. Lenz, IEEE Photon. Technol. Lett. 10, 994 (1998).
[CrossRef]

Liu, X.

Madsen, C. K.

C. K. Madsen and G. Lenz, IEEE Photon. Technol. Lett. 10, 994 (1998).
[CrossRef]

McKinstrie, C. J.

Mollenauer, L. F.

Olson, E.

Shirasaki, M.

M. Shirasaki, IEEE Photon. Technol. Lett. 9, 1598 (1997).
[CrossRef]

Shu, X.

Sugden, K.

Wei, W.

Wei, X.

Xie, C.

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Figures (2)

Fig. 1
Fig. 1

Total TS versus mean collision location z0 for f=0.1 from DNSs of Eqs. (1), numerically integrating (quadrature) Eqs. (4) and the asymptotic approximations (Laplace) Eqs. (5).

Fig. 2
Fig. 2

Maximum (taken of z0) TS and FS (inset) versus f.

Equations (9)

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iuz+½Dzutt+gzu2u=iPu,
Pˆu=expiHω-1m=1Naδz-mzauˆω,z
Ωz=2gzEu+2u-2tdt,
tz=DzΩz+HPGDm=1Naδz-mzaΩ-Ω0,
u±t,z=a2πb+iD˜PGDz1/2×exp-t±t0±Ω0D˜z22b+iD˜PGDz±iΩ0t-i2Ω02D˜z.
ΔΩL=AΩ00LgzD˜0zb2+D˜PGD2z3/2×exp-2bΩ02D˜02zb2+D˜PGD2zdz,
ΔtL=D˜0LΔΩL-Δtres+HPGDm=1NaΔΩmza,
ΔtresLAΩ00LgzD˜02zb2+D˜PGD2z3/2×exp-2bΩ02D˜02zb2+D˜PGD2zdz.
ΔΩLAn=1NFnJ1,nbΩ0Φn+3FnΦnJ2,n-2FnΦnJ4,n6b3/2Ω02Φn5/2,ΔtresLAb3/2Ω02n=1NFnJ2,n2Φn3/2,

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