Abstract

The shift in pulse arrival times stemming from several important sources is not truly random but rather shows a high degree of correlation from one pulse to the next. Such jitter sources include the acoustic effect, solitons–soliton collisions in wavelength-division multiplexing, and the tendency of fiber birefringence to convert collision-induced polarization scattering into time shifts. Moving the acceptance window of a time-division demultiplexer in approximate synchronism with the correlated time shifts effectively removes their potential for creating errors.

© 1996 Optical Society of America

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References

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  1. J. P. Gordon, H. A. Haus, Opt. Lett. 11, 665 (1986).
    [CrossRef] [PubMed]
  2. E. M. Dianov, A. V. Luchnikov, A. N. Pilipetskii, A. M. Prokorov, Sov. Lightwave Commun. 1, 235 (1991).
  3. L. F. Mollenauer, S. G. Evangelides, J. P. Gordon, J. Lightwave Technol. 9, 362 (1991).
    [CrossRef]
  4. L. F. Mollenauer, J. P. Gordon, F. Heismann, Opt. Lett. 20, 2060 (1995)L. F. Mollenauer, J. P. Gordon, Opt. Lett. 19, 375 (1994).
    [CrossRef] [PubMed]
  5. L. F. Mollenauer, J. P. Gordon, S. G. Evangelides, Opt. Lett. 17, 1575 (1992).
    [CrossRef] [PubMed]
  6. A. Mecozzi, H. A. Haus, Opt. Lett. 17, 988 (1992).
    [CrossRef] [PubMed]

1995 (1)

1992 (2)

1991 (2)

E. M. Dianov, A. V. Luchnikov, A. N. Pilipetskii, A. M. Prokorov, Sov. Lightwave Commun. 1, 235 (1991).

L. F. Mollenauer, S. G. Evangelides, J. P. Gordon, J. Lightwave Technol. 9, 362 (1991).
[CrossRef]

1986 (1)

Dianov, E. M.

E. M. Dianov, A. V. Luchnikov, A. N. Pilipetskii, A. M. Prokorov, Sov. Lightwave Commun. 1, 235 (1991).

Evangelides, S. G.

L. F. Mollenauer, J. P. Gordon, S. G. Evangelides, Opt. Lett. 17, 1575 (1992).
[CrossRef] [PubMed]

L. F. Mollenauer, S. G. Evangelides, J. P. Gordon, J. Lightwave Technol. 9, 362 (1991).
[CrossRef]

Gordon, J. P.

Haus, H. A.

Heismann, F.

Luchnikov, A. V.

E. M. Dianov, A. V. Luchnikov, A. N. Pilipetskii, A. M. Prokorov, Sov. Lightwave Commun. 1, 235 (1991).

Mecozzi, A.

Mollenauer, L. F.

Pilipetskii, A. N.

E. M. Dianov, A. V. Luchnikov, A. N. Pilipetskii, A. M. Prokorov, Sov. Lightwave Commun. 1, 235 (1991).

Prokorov, A. M.

E. M. Dianov, A. V. Luchnikov, A. N. Pilipetskii, A. M. Prokorov, Sov. Lightwave Commun. 1, 235 (1991).

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Figures (4)

Fig. 1
Fig. 1

Number of 1’s in each successive group of m pulse slots in segments of a random pattern versus the relative index of the leading pulse slot. (The curves actually correspond to different segments of the pattern.) Curve a, m = 30; curve b, m = 60. The time scale corresponds to a bit rate of 10 Gbits/s.

Fig. 2
Fig. 2

Fourier transforms of the timing jitter resulting from collisions. Curves a and b correspond to 0.6- and 1.2-nm channel spacings, respectively. In order to have good statistics, they correspond to 8192-unit-long sequences, of which curves a and b in Fig. 1 are but small segments. To reflect the way in which time shifts from individual collisions vary with channel spacing, the vertical scale of curve b has been multiplied by a factor of 1/4.

Fig. 3
Fig. 3

Jitter-killing time-division demultiplexer for soliton transmission. (For clarity, only one of four electrooptic switches is shown.) Clock path ac approximately equals signal path ab.

Fig. 4
Fig. 4

Jagged upper curve: Relative time displacements of successive pulses; includes effects of Gordon–Haus jitter. Smoother upper curve: Phase response of low-Q resonator to the signal data stream as time shifted according to the jagged curve (for visibility shown displaced by 8 units). Lower curve: The difference between the two upper curves multiplied by the signal data sequence itself.

Equations (1)

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V ( t ) = V 0 sin ( 2 π f 0 t + ϕ 0 ) exp ( - π f 0 t / Q ) .

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