Abstract

Unstable behavior of dispersion-managed (DM) solitons in a system with lumped filtering is numerically studied. A variational analysis shows that the system cannot have stable fixed DM soliton solutions when the filter location is improperly chosen. This is because of the unique dynamics of the spectral behavior of DM solitons, which differs from that of standard solitons in fibers with constant dispersion. The instability is confirmed by numerical simulations with and without sliding center frequencies of the filters.

© 1998 Optical Society of America

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References

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1998 (3)

M. Matsumoto, J. Opt. Soc. Am. B 15, 2831 (1998).
[CrossRef]

J. H. B. Nijhof, N. J. Doran, W. Forysiak, and A. Berntson, Electron. Lett. 34, 481 (1998).
[CrossRef]

G. M. Carter and J. M. Jacob, IEEE Photon. Technol. Lett. 10, 546 (1998).
[CrossRef]

1997 (3)

1994 (1)

E. A. Golovchenko and A. N. Pilipetskii, J. Lightwave Technol. 12, 1052 (1994).
[CrossRef]

1993 (3)

1992 (3)

1991 (1)

1988 (1)

Afanasjev, V. V.

Berntson, A.

J. H. B. Nijhof, N. J. Doran, W. Forysiak, and A. Berntson, Electron. Lett. 34, 481 (1998).
[CrossRef]

Blow, K. J.

Carter, G. M.

Doran, N. J.

J. H. B. Nijhof, N. J. Doran, W. Forysiak, and A. Berntson, Electron. Lett. 34, 481 (1998).
[CrossRef]

K. J. Blow, N. J. Doran, and D. Wood, J. Opt. Soc. Am. B 5, 1301 (1988).
[CrossRef]

Evangelides, S. G.

Forysiak, W.

J. H. B. Nijhof, N. J. Doran, W. Forysiak, and A. Berntson, Electron. Lett. 34, 481 (1998).
[CrossRef]

Golovchenko, E. A.

Gordon, J. P.

Hasegawa, A.

Haus, H. A.

Ippen, E. P.

Jacob, J. M.

Kodama, Y.

Lai, Y.

Matsumoto, M.

M. Matsumoto, J. Opt. Soc. Am. B 15, 2831 (1998).
[CrossRef]

M. Matsumoto, Opt. Lett. 22, 1238 (1997).
[CrossRef] [PubMed]

M. Matsumoto, Electron. Lett. 33, 1718 (1997).
[CrossRef]

M. Matsumoto, “Time-domain transmission control of dispersion-managed solitons,” Electron. Lett. (to be published).

Mecozzi, A.

Menyuk, C. R.

Mollenauer, L. F.

Moores, J. D.

Nelson, L. E.

Nijhof, J. H. B.

J. H. B. Nijhof, N. J. Doran, W. Forysiak, and A. Berntson, Electron. Lett. 34, 481 (1998).
[CrossRef]

Pilipetskii, A. N.

Tamura, K.

Wabnitz, S.

Wood, D.

Electron. Lett. (2)

J. H. B. Nijhof, N. J. Doran, W. Forysiak, and A. Berntson, Electron. Lett. 34, 481 (1998).
[CrossRef]

M. Matsumoto, Electron. Lett. 33, 1718 (1997).
[CrossRef]

IEEE Photon. Technol. Lett. (1)

G. M. Carter and J. M. Jacob, IEEE Photon. Technol. Lett. 10, 546 (1998).
[CrossRef]

J. Lightwave Technol. (1)

E. A. Golovchenko and A. N. Pilipetskii, J. Lightwave Technol. 12, 1052 (1994).
[CrossRef]

J. Opt. Soc. Am. B (2)

Opt. Lett. (9)

Other (1)

M. Matsumoto, “Time-domain transmission control of dispersion-managed solitons,” Electron. Lett. (to be published).

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Figures (4)

Fig. 1
Fig. 1

Energy-enhancement factor (solid curve) and spectral width of a DM soliton with d/D=0.02. Spectral width is evaluated at the midpoints in (dashed curve) anomalous- and (dotted curve) normal-dispersion fibers.

Fig. 2
Fig. 2

Amplitude A and pulse width τ versus distance for three different initial pulse parameters. A and τ are evaluated at the midpoints in anomalous-dispersion fiber segments. The filters and amplifiers are located at the midpoints in (a) anomalous- and (b) normal-dispersion fiber segments.

Fig. 3
Fig. 3

Evolution of pulse shape obtained by numerical simulation. Waveforms are plotted at every ten dispersion-map periods (every 30 in Z). The filters and amplifiers are located at the midpoints in (a) anomalous- and (b) normal-dispersion fiber segments.

Fig. 4
Fig. 4

Simulation results for peak amplitude and FWHM pulse width versus distance of DM solitons with sliding-frequency filtering. The filters and amplifiers are located at the midpoints in (a) anomalous- and (b) normal-dispersion fiber segments.

Equations (1)

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qZ,T=AZexp-T2/2τ2Z+ibZT2+iθZ,

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