Abstract

The effect of intensity distortion induced by cross-phase modulation in dispersive optical fibers is studied. It is shown that, in most configurations in which distortions that are due to cross-phase modulation can become significant to optical communications, the effect of cross-phase modulation can be described with excellent accuracy by simple analytical expressions. The presented analysis also suggests that intensity distortions owing to cross-phase modulation can be efficiently reduced by linear dispersion compensation.

© 1998 Optical Society of America

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References

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  1. An excellent review can be found in F. Forghieri, R. W. Tkach, and A. R. Chraplyvy, in Optical Fiber Telecommunications, I. P. Kaminow and T. L. Koch, eds. (Academic, New York, 1997), Vol. IIIA, Chap. 8.
  2. G. P. Agrawal, Nonlinear Fiber Optics, 2nd ed. (Academic, New York, 1995), Chap.??2.
  3. L. Rapp, IEEE Photon. Technol. Lett. 9, 1592 (1997).
    [CrossRef]
  4. T. K. Chiang, N. Kagi, T. K. Fong, M. E. Marhic, and L. G. Kazovsky, IEEE Photon. Technol. Lett. 6, 733 (1994).
    [CrossRef]
  5. M. Shtaif and M. Eiselt, IEEE Photon. Technol. Lett. 10, 979 (1998).
    [CrossRef]
  6. R. A. Saunders, B. L. Patel, H. J. Harvey, and A. Robinson, in Optical Fiber Communication Conference, Vol. 6 of 1997 OSA Technical Digest Series (Optical Society of America, Washington, D. C., 1997), paper WC4.

1998 (1)

M. Shtaif and M. Eiselt, IEEE Photon. Technol. Lett. 10, 979 (1998).
[CrossRef]

1997 (1)

L. Rapp, IEEE Photon. Technol. Lett. 9, 1592 (1997).
[CrossRef]

1994 (1)

T. K. Chiang, N. Kagi, T. K. Fong, M. E. Marhic, and L. G. Kazovsky, IEEE Photon. Technol. Lett. 6, 733 (1994).
[CrossRef]

Agrawal, G. P.

G. P. Agrawal, Nonlinear Fiber Optics, 2nd ed. (Academic, New York, 1995), Chap.??2.

Chiang, T. K.

T. K. Chiang, N. Kagi, T. K. Fong, M. E. Marhic, and L. G. Kazovsky, IEEE Photon. Technol. Lett. 6, 733 (1994).
[CrossRef]

Chraplyvy, A. R.

An excellent review can be found in F. Forghieri, R. W. Tkach, and A. R. Chraplyvy, in Optical Fiber Telecommunications, I. P. Kaminow and T. L. Koch, eds. (Academic, New York, 1997), Vol. IIIA, Chap. 8.

Eiselt, M.

M. Shtaif and M. Eiselt, IEEE Photon. Technol. Lett. 10, 979 (1998).
[CrossRef]

Fong, T. K.

T. K. Chiang, N. Kagi, T. K. Fong, M. E. Marhic, and L. G. Kazovsky, IEEE Photon. Technol. Lett. 6, 733 (1994).
[CrossRef]

Forghieri, F.

An excellent review can be found in F. Forghieri, R. W. Tkach, and A. R. Chraplyvy, in Optical Fiber Telecommunications, I. P. Kaminow and T. L. Koch, eds. (Academic, New York, 1997), Vol. IIIA, Chap. 8.

Harvey, H. J.

R. A. Saunders, B. L. Patel, H. J. Harvey, and A. Robinson, in Optical Fiber Communication Conference, Vol. 6 of 1997 OSA Technical Digest Series (Optical Society of America, Washington, D. C., 1997), paper WC4.

Kagi, N.

T. K. Chiang, N. Kagi, T. K. Fong, M. E. Marhic, and L. G. Kazovsky, IEEE Photon. Technol. Lett. 6, 733 (1994).
[CrossRef]

Kazovsky, L. G.

T. K. Chiang, N. Kagi, T. K. Fong, M. E. Marhic, and L. G. Kazovsky, IEEE Photon. Technol. Lett. 6, 733 (1994).
[CrossRef]

Marhic, M. E.

T. K. Chiang, N. Kagi, T. K. Fong, M. E. Marhic, and L. G. Kazovsky, IEEE Photon. Technol. Lett. 6, 733 (1994).
[CrossRef]

Patel, B. L.

R. A. Saunders, B. L. Patel, H. J. Harvey, and A. Robinson, in Optical Fiber Communication Conference, Vol. 6 of 1997 OSA Technical Digest Series (Optical Society of America, Washington, D. C., 1997), paper WC4.

Rapp, L.

L. Rapp, IEEE Photon. Technol. Lett. 9, 1592 (1997).
[CrossRef]

Robinson, A.

R. A. Saunders, B. L. Patel, H. J. Harvey, and A. Robinson, in Optical Fiber Communication Conference, Vol. 6 of 1997 OSA Technical Digest Series (Optical Society of America, Washington, D. C., 1997), paper WC4.

Saunders, R. A.

R. A. Saunders, B. L. Patel, H. J. Harvey, and A. Robinson, in Optical Fiber Communication Conference, Vol. 6 of 1997 OSA Technical Digest Series (Optical Society of America, Washington, D. C., 1997), paper WC4.

Shtaif, M.

M. Shtaif and M. Eiselt, IEEE Photon. Technol. Lett. 10, 979 (1998).
[CrossRef]

Tkach, R. W.

An excellent review can be found in F. Forghieri, R. W. Tkach, and A. R. Chraplyvy, in Optical Fiber Telecommunications, I. P. Kaminow and T. L. Koch, eds. (Academic, New York, 1997), Vol. IIIA, Chap. 8.

IEEE Photon. Technol. Lett. (3)

L. Rapp, IEEE Photon. Technol. Lett. 9, 1592 (1997).
[CrossRef]

T. K. Chiang, N. Kagi, T. K. Fong, M. E. Marhic, and L. G. Kazovsky, IEEE Photon. Technol. Lett. 6, 733 (1994).
[CrossRef]

M. Shtaif and M. Eiselt, IEEE Photon. Technol. Lett. 10, 979 (1998).
[CrossRef]

Other (3)

R. A. Saunders, B. L. Patel, H. J. Harvey, and A. Robinson, in Optical Fiber Communication Conference, Vol. 6 of 1997 OSA Technical Digest Series (Optical Society of America, Washington, D. C., 1997), paper WC4.

An excellent review can be found in F. Forghieri, R. W. Tkach, and A. R. Chraplyvy, in Optical Fiber Telecommunications, I. P. Kaminow and T. L. Koch, eds. (Academic, New York, 1997), Vol. IIIA, Chap. 8.

G. P. Agrawal, Nonlinear Fiber Optics, 2nd ed. (Academic, New York, 1995), Chap.??2.

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Figures (3)

Fig. 1
Fig. 1

Approximate phase function φt,z according to Eq.  (1), with Pt,z consisting of a single edge. (a) Schematic description without losses. (b) Specific example with CF, 10-Gbit/s bit rate, Δλ=0.8 nm (100  GHz), corresponding to Lwo1.8 km. The edge peak power is 50  mW.

Fig. 2
Fig. 2

Normalized intensity and phase of the probe signal at the fiber output. Dashed curves, numerical solution; solid curves, approximate solution according to Eq.  (2) with At,Lwo=A0. (a), (b) CF D=17 ps/nm/km,γ=1.3 W-1 km-1. (c), (d) NZDSF D=2.3 ps/nm/km,γ=2 W-1 km-1. Fiber length, 80  km; other parameters the same as in Fig.  1(b). The intensity of the interfering signal is shown in arbitrary units by a dotted curve in (a) and (c).

Fig. 3
Fig. 3

Normalized intensity of the probe at the fiber output. Same as Figs.  2(a) and 2(b), except for an arbitrarily chosen data sequence. (a) CF, (b) NZDSF.

Equations (3)

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φt,z=2γDΔλt-DΔλztexp-αDΔλt-ξPξ,0dξ,
At,L=exp-αL/2expDˆAt,Lwoexpiφt,
Dˆ=-iL-Lwoeffβ222t2.

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