Abstract

The main impairment of differential-phase-shift-keyed communication systems is phase jitter. Noise-induced phase jitter, which is mediated by self-phase modulation, can be reduced significantly by a small number of in-line phase conjugators.

© 2003 Optical Society of America

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References

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  1. R. A. Fisher, ed., Optical Phase Conjugation (Academic, San Diego, Calif., 1983).
  2. A. H. Gnauck and R. M. Jopson, in Optical Fiber Telecommunications IIIA, I. P. Kaminow T. L. Koch, eds. (Academic, San Diego, Calif., 1997), p. 162, and references therein.
    [CrossRef]
  3. R. J. Essiambre and G. P. Agrawal, J. Opt. Soc. Am. B 14, 323 (1997), and references therein.
    [CrossRef]
  4. S. Watanabe and M. Shirasaki, J. Lightwave Technol. 14, 243 (1996), and references therein.
    [CrossRef]
  5. S. Watanabe and T. Chikama, Electron. Lett. 30, 1157 (1994).
    [CrossRef]
  6. A. H. Gnauck, R. M. Jopson, and R. M. Derosier, IEEE Photon. Technol. Lett. 7, 582 (1995).
    [CrossRef]
  7. S. Radic, C. J. McKinstrie, R. M. Jopson, J. C. Centanni, Q. Lin, and G. P. Agrawal, Electron. Lett. 39, 838 (2003).
    [CrossRef]
  8. J. P. Gordon and L. F. Mollenauer, Opt. Lett. 23, 1351 (1990).
    [CrossRef]
  9. C. J. McKinstrie and C. Xie, IEEE J. Sel. Top. Quantum Electron. 8, 538 (2002), and references therein.
    [CrossRef]
  10. X. Liu, X. Wei, R. E. Slusher, and C. J. McKinstrie, Opt. Lett. 27, 1616 (2002).
    [CrossRef]
  11. C. Xu and X. Liu, Opt. Lett. 27, 1619 (2002).
    [CrossRef]

2003 (1)

S. Radic, C. J. McKinstrie, R. M. Jopson, J. C. Centanni, Q. Lin, and G. P. Agrawal, Electron. Lett. 39, 838 (2003).
[CrossRef]

2002 (3)

1997 (1)

1996 (1)

S. Watanabe and M. Shirasaki, J. Lightwave Technol. 14, 243 (1996), and references therein.
[CrossRef]

1995 (1)

A. H. Gnauck, R. M. Jopson, and R. M. Derosier, IEEE Photon. Technol. Lett. 7, 582 (1995).
[CrossRef]

1994 (1)

S. Watanabe and T. Chikama, Electron. Lett. 30, 1157 (1994).
[CrossRef]

1990 (1)

Agrawal, G. P.

S. Radic, C. J. McKinstrie, R. M. Jopson, J. C. Centanni, Q. Lin, and G. P. Agrawal, Electron. Lett. 39, 838 (2003).
[CrossRef]

R. J. Essiambre and G. P. Agrawal, J. Opt. Soc. Am. B 14, 323 (1997), and references therein.
[CrossRef]

Centanni, J. C.

S. Radic, C. J. McKinstrie, R. M. Jopson, J. C. Centanni, Q. Lin, and G. P. Agrawal, Electron. Lett. 39, 838 (2003).
[CrossRef]

Chikama, T.

S. Watanabe and T. Chikama, Electron. Lett. 30, 1157 (1994).
[CrossRef]

Derosier, R. M.

A. H. Gnauck, R. M. Jopson, and R. M. Derosier, IEEE Photon. Technol. Lett. 7, 582 (1995).
[CrossRef]

Essiambre, R. J.

Gnauck, A. H.

A. H. Gnauck, R. M. Jopson, and R. M. Derosier, IEEE Photon. Technol. Lett. 7, 582 (1995).
[CrossRef]

A. H. Gnauck and R. M. Jopson, in Optical Fiber Telecommunications IIIA, I. P. Kaminow T. L. Koch, eds. (Academic, San Diego, Calif., 1997), p. 162, and references therein.
[CrossRef]

Gordon, J. P.

Jopson, R. M.

S. Radic, C. J. McKinstrie, R. M. Jopson, J. C. Centanni, Q. Lin, and G. P. Agrawal, Electron. Lett. 39, 838 (2003).
[CrossRef]

A. H. Gnauck, R. M. Jopson, and R. M. Derosier, IEEE Photon. Technol. Lett. 7, 582 (1995).
[CrossRef]

A. H. Gnauck and R. M. Jopson, in Optical Fiber Telecommunications IIIA, I. P. Kaminow T. L. Koch, eds. (Academic, San Diego, Calif., 1997), p. 162, and references therein.
[CrossRef]

Lin, Q.

S. Radic, C. J. McKinstrie, R. M. Jopson, J. C. Centanni, Q. Lin, and G. P. Agrawal, Electron. Lett. 39, 838 (2003).
[CrossRef]

Liu, X.

McKinstrie, C. J.

S. Radic, C. J. McKinstrie, R. M. Jopson, J. C. Centanni, Q. Lin, and G. P. Agrawal, Electron. Lett. 39, 838 (2003).
[CrossRef]

C. J. McKinstrie and C. Xie, IEEE J. Sel. Top. Quantum Electron. 8, 538 (2002), and references therein.
[CrossRef]

X. Liu, X. Wei, R. E. Slusher, and C. J. McKinstrie, Opt. Lett. 27, 1616 (2002).
[CrossRef]

Mollenauer, L. F.

Radic, S.

S. Radic, C. J. McKinstrie, R. M. Jopson, J. C. Centanni, Q. Lin, and G. P. Agrawal, Electron. Lett. 39, 838 (2003).
[CrossRef]

Shirasaki, M.

S. Watanabe and M. Shirasaki, J. Lightwave Technol. 14, 243 (1996), and references therein.
[CrossRef]

Slusher, R. E.

Watanabe, S.

S. Watanabe and M. Shirasaki, J. Lightwave Technol. 14, 243 (1996), and references therein.
[CrossRef]

S. Watanabe and T. Chikama, Electron. Lett. 30, 1157 (1994).
[CrossRef]

Wei, X.

Xie, C.

C. J. McKinstrie and C. Xie, IEEE J. Sel. Top. Quantum Electron. 8, 538 (2002), and references therein.
[CrossRef]

Xu, C.

Electron. Lett. (2)

S. Watanabe and T. Chikama, Electron. Lett. 30, 1157 (1994).
[CrossRef]

S. Radic, C. J. McKinstrie, R. M. Jopson, J. C. Centanni, Q. Lin, and G. P. Agrawal, Electron. Lett. 39, 838 (2003).
[CrossRef]

IEEE J. Sel. Top. Quantum Electron. (1)

C. J. McKinstrie and C. Xie, IEEE J. Sel. Top. Quantum Electron. 8, 538 (2002), and references therein.
[CrossRef]

IEEE Photon. Technol. Lett. (1)

A. H. Gnauck, R. M. Jopson, and R. M. Derosier, IEEE Photon. Technol. Lett. 7, 582 (1995).
[CrossRef]

J. Lightwave Technol. (1)

S. Watanabe and M. Shirasaki, J. Lightwave Technol. 14, 243 (1996), and references therein.
[CrossRef]

J. Opt. Soc. Am. B (1)

Opt. Lett. (3)

Other (2)

R. A. Fisher, ed., Optical Phase Conjugation (Academic, San Diego, Calif., 1983).

A. H. Gnauck and R. M. Jopson, in Optical Fiber Telecommunications IIIA, I. P. Kaminow T. L. Koch, eds. (Academic, San Diego, Calif., 1997), p. 162, and references therein.
[CrossRef]

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Figures (2)

Fig. 1
Fig. 1

Simulated phase variances plotted as functions of distance. The dashed curve represents a reference system without a PC, whereas the solid curves represent systems with one PC placed symmetrically (S) and asymmetrically (A).

Fig. 2
Fig. 2

Simulated phase variances plotted as functions of distance. The dashed curve represents a reference system without a PC, whereas the solid curves represent systems with two PCs placed symmetrically between fibers of equal length (SE), symmetrically between fibers of unequal length (SU), and asymmetrically (A).

Tables (2)

Tables Icon

Table 1 Predicted Performance Improvements

Tables Icon

Table 2 Predicted Performance Improvements

Equations (20)

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dzp2=σp,
dzpϕ=γ¯p2,
dzϕ2=σϕ+2γ¯pϕ,
p21=p20+σpz1,
pϕ1=pϕ0+p20γ¯z1+σpγ¯z12/2,
ϕ21=ϕ20+2pϕ0γ¯z1+p20γ¯2z12+σϕz1+σpγ¯2z13/3.
p22=σpz1+z2,
pϕ2=σpγ¯z1+z222-z12,
ϕ22=σϕz1+z2+σpγ¯2z1+z233-2z12z2.
p2c=p2,
pϕc=pϕ+κp2,
ϕ2c=ϕ2+2κpϕ+κ2p2.
κc=-pϕ/p2,
ϕ2c=ϕ2-pϕ2/p2.
p23=σpz1+z2+z3,
pϕ3=σpγ¯z1+z2+z32/2-z1+z22+z12,
ϕ23=σpγ¯2z1+z2+z33/3-2z1+z22-z12z3-2z12z2,
ϕ2nσpγ¯2z3=13n2-14n2,
ϕ2nσpγ¯2z3=112n-12-1+-1n32n-14.
ϕ2nσpγ¯2z3=132n-12-142n-14.

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