Abstract

Energy transfer between adjacent pulses as a result of nonlinear intrachannel interactions in a transmission system with strong periodic dispersion management is analyzed. With small average dispersion, the energy change between nonzero bits grows linearly with respect to distance in the presence of loss and lumped amplification, whereas in a lossless system the energy change is found to be significantly suppressed. The analytical results compare favorably with the results of direct numerical simulation of the full system.

© 2002 Optical Society of America

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References

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  1. R. J. Essiambre, B. Mikkelsen, and G. Raybon, Electron. Lett. 35, 1576 (1999).
    [CrossRef]
  2. P. V. Mamyshev and N. A. Mamysheva, Opt. Lett. 24, 1454 (1999).
    [CrossRef]
  3. J. Martensson, A. Berntson, M. Westlund, A. Danielsson, P. Johannisson, D. Anderson, and M. Lisak, Opt. Lett. 26, 55 (2001).
    [CrossRef]
  4. M. J. Ablowitz and T. Hirooka, Opt. Lett. 26, 1846 (2001).
    [CrossRef]
  5. M. J. Ablowitz and T. Hirooka, Opt. Lett. 25, 1750 (2000).
    [CrossRef]
  6. A. Mecozzi, C. B. Claussen, and M. Shtaif, IEEE Photon. Technol. Lett. 12, 392 (2000).
    [CrossRef]
  7. A. Mecozzi, C. B. Claussen, and M. Shtaif, IEEE Photon. Technol. Lett. 12, 1633 (2000).
    [CrossRef]
  8. S. Kumar, IEEE Photon. Technol. Lett. 13, 800 (2001).
    [CrossRef]
  9. T. Hirooka and M. J. Ablowitz, “Analysis of timing and amplitude jitter due to intrachannel dispersion-managed pulse interactions,” submitted to IEEE Photon. Technol. Lett.
  10. M. J. Ablowitz, T. Hirooka, and G. Biondini, Opt. Lett. 26, 459 (2001).
    [CrossRef]

2001 (4)

2000 (3)

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

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

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

1999 (2)

P. V. Mamyshev and N. A. Mamysheva, Opt. Lett. 24, 1454 (1999).
[CrossRef]

R. J. Essiambre, B. Mikkelsen, and G. Raybon, Electron. Lett. 35, 1576 (1999).
[CrossRef]

Ablowitz, M. J.

M. J. Ablowitz and T. Hirooka, Opt. Lett. 26, 1846 (2001).
[CrossRef]

M. J. Ablowitz, T. Hirooka, and G. Biondini, Opt. Lett. 26, 459 (2001).
[CrossRef]

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

T. Hirooka and M. J. Ablowitz, “Analysis of timing and amplitude jitter due to intrachannel dispersion-managed pulse interactions,” submitted to IEEE Photon. Technol. Lett.

Anderson, D.

Berntson, A.

Biondini, G.

Claussen, C. B.

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

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

Danielsson, A.

Essiambre, R. J.

R. J. Essiambre, B. Mikkelsen, and G. Raybon, Electron. Lett. 35, 1576 (1999).
[CrossRef]

Hirooka, T.

M. J. Ablowitz and T. Hirooka, Opt. Lett. 26, 1846 (2001).
[CrossRef]

M. J. Ablowitz, T. Hirooka, and G. Biondini, Opt. Lett. 26, 459 (2001).
[CrossRef]

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

T. Hirooka and M. J. Ablowitz, “Analysis of timing and amplitude jitter due to intrachannel dispersion-managed pulse interactions,” submitted to IEEE Photon. Technol. Lett.

Johannisson, P.

Kumar, S.

S. Kumar, IEEE Photon. Technol. Lett. 13, 800 (2001).
[CrossRef]

Lisak, M.

Mamyshev, P. V.

Mamysheva, N. A.

Martensson, J.

Mecozzi, A.

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

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

Mikkelsen, B.

R. J. Essiambre, B. Mikkelsen, and G. Raybon, Electron. Lett. 35, 1576 (1999).
[CrossRef]

Raybon, G.

R. J. Essiambre, B. Mikkelsen, and G. Raybon, Electron. Lett. 35, 1576 (1999).
[CrossRef]

Shtaif, M.

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

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

Westlund, M.

Electron. Lett. (1)

R. J. Essiambre, B. Mikkelsen, and G. Raybon, Electron. Lett. 35, 1576 (1999).
[CrossRef]

IEEE Photon. Technol. Lett. (3)

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

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

S. Kumar, IEEE Photon. Technol. Lett. 13, 800 (2001).
[CrossRef]

Opt. Lett. (5)

Other (1)

T. Hirooka and M. J. Ablowitz, “Analysis of timing and amplitude jitter due to intrachannel dispersion-managed pulse interactions,” submitted to IEEE Photon. Technol. Lett.

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Figures (2)

Fig. 1
Fig. 1

Growth of energy change of the signals in (a) a 111 bit pattern and (b) a 10111 bit pattern in a lossy case Γ=10. Solid curves, results of direct numerical simulation of Eq. (1); dashed curves, results obtained from Eq. (4) with Eq. (6). The dotted curve in (a) shows the energy change ΔW0 when G=0 obtained from direct numerical simulation.

Fig. 2
Fig. 2

Growth rate of the energy change versus map strength s for T=8.3 and m,n=1,1, calculated from Eq. (6) (solid curve) and from Eq. (9) with Eq. (10) (dashed curve).

Equations (11)

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iuz+Dz22ut2+gzu2u=0,
iu0z+Dz22u0t2+gzu02u0=F0z,t, F0z,t=-gzul*umun.
dW0dz=-i-F0u0*-F0*u0dt=igz-u0*ul*umun-c.c.dt.
ΔW0z=Q¯m,nz.
ukz,t=α2πξzexp-t-kT22ξz, ξz=β+iCz,
Q¯m,n=iα44π2zaπ2β0zagzξz×exp-m2+n2β+2imnCz2ξz2T2-c.c.dz.
Q¯m,niα44π2zaπ2β×0zagzCzexp-imnT2Cz-c.c.dz.
Dz=Δ0z<θ/2za-θ/1-θΔθ/2zaz<1/2za,
Q¯m,n=α4g08π2π2β1-exp-2GIm,n,
Im,n=1s1/sexp-Gsx+exp-2GexpGsxsinmnT2xxdx.
ΔW0=n=-N/2N/2m=-N/2N/2bm+nbmbnQ¯m,nz,

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