Abstract

We describe a method of characterizing high-order polarization mode dispersion (PMD). Using a new expansion to approximate the Jones matrix of a polarization-dispersive medium, we study the length dependence of high-order PMD to the fourth order. A simple rule for the asymptotic behavior of PMD for short and long fibers is found. It is also shown that, in long fibers 1000 km, at 40 Gbits/s the third- and fourth-order PMD may become comparable to the second-order PMD.

© 2000 Optical Society of America

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References

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    [CrossRef]
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    [CrossRef]
  7. N. J. Frigo, IEEE J. Quantum Electron. QE-22, 2131 (1986).
    [CrossRef]
  8. C. D. Poole and C. R. Giles, Opt. Lett. 13, 155 (1988).
    [CrossRef]

1999 (2)

G. J. Foschini, R. M. Jopson, L. E. Nelson, and H. Kogelnik, J. Lightwave Technol. 17, 1560 (1999).
[CrossRef]

A. Eyal, W. K. Marshall, M. Tur, and A. Yariv, Electron. Lett. 35, 1658 (1999).
[CrossRef]

1998 (1)

1996 (1)

P. K. A. Wai and C. R. Menyuk, J. Lightwave Technol. 14, 148 (1996).
[CrossRef]

1992 (1)

B. L. Heffner, IEEE Photon. Technol. Lett. 4, 1066 (1992).
[CrossRef]

1991 (1)

G. J. Foschini and C. D. Poole, J. Lightwave Technol. 9, 1439 (1991).
[CrossRef]

1988 (1)

1986 (1)

N. J. Frigo, IEEE J. Quantum Electron. QE-22, 2131 (1986).
[CrossRef]

Ciprut, P.

Eyal, A.

A. Eyal, W. K. Marshall, M. Tur, and A. Yariv, Electron. Lett. 35, 1658 (1999).
[CrossRef]

Foschini, G. J.

Frigo, N. J.

N. J. Frigo, IEEE J. Quantum Electron. QE-22, 2131 (1986).
[CrossRef]

Giles, C. R.

Gisin, B.

Gisin, N.

Heffner, B. L.

B. L. Heffner, IEEE Photon. Technol. Lett. 4, 1066 (1992).
[CrossRef]

Jopson, R. M.

Kogelnik, H.

Marshall, W. K.

A. Eyal, W. K. Marshall, M. Tur, and A. Yariv, Electron. Lett. 35, 1658 (1999).
[CrossRef]

Menyuk, C. R.

P. K. A. Wai and C. R. Menyuk, J. Lightwave Technol. 14, 148 (1996).
[CrossRef]

Nelson, L. E.

Passy, R.

Poole, C. D.

G. J. Foschini and C. D. Poole, J. Lightwave Technol. 9, 1439 (1991).
[CrossRef]

C. D. Poole and C. R. Giles, Opt. Lett. 13, 155 (1988).
[CrossRef]

Prieto, F.

Tur, M.

A. Eyal, W. K. Marshall, M. Tur, and A. Yariv, Electron. Lett. 35, 1658 (1999).
[CrossRef]

Von der Weid, J. P.

Wai, P. K. A.

P. K. A. Wai and C. R. Menyuk, J. Lightwave Technol. 14, 148 (1996).
[CrossRef]

Yariv, A.

A. Eyal, W. K. Marshall, M. Tur, and A. Yariv, Electron. Lett. 35, 1658 (1999).
[CrossRef]

Zimmer, C. W.

Electron. Lett. (1)

A. Eyal, W. K. Marshall, M. Tur, and A. Yariv, Electron. Lett. 35, 1658 (1999).
[CrossRef]

IEEE J. Quantum Electron. (1)

N. J. Frigo, IEEE J. Quantum Electron. QE-22, 2131 (1986).
[CrossRef]

IEEE Photon. Technol. Lett. (1)

B. L. Heffner, IEEE Photon. Technol. Lett. 4, 1066 (1992).
[CrossRef]

J. Lightwave Technol. (4)

Opt. Lett. (1)

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Figures (3)

Fig. 1
Fig. 1

Length-dependent statistics of the first four orders of PMD for short fibers at the 1-THz bandwidth. The circles, triangles, dashed curve, and plus signs, respectively, represent the simulated first-, second-, third-, and fourth-order PMD, and the solid curves connecting the shapes represent the theoretical predictions for the first- and second-order PMD.

Fig. 2
Fig. 2

Length-dependent statistics of the first four orders of PMD for long fibers at 40-GHz bandwidth. The circles, triangles, dashed curve, and plus signs, respectively, represent the simulated first-, second-, third-, and fourth-order PMD, and the solid curves connecting the shapes represent the theoretical prediction for the first- and second-order PMD.

Fig. 3
Fig. 3

Top, short-end limit behavior of the third-order (circles) and the fourth-order (plus signs) PMD. Bottom, long-end limit behavior of the third-order (circles) and the fourth-order (plus signs) PMD.

Equations (4)

Equations on this page are rendered with MathJax. Learn more.

Tω0+Δω=T0 expΔωN1exp12Δω2N2×exp16Δω3N3,
N1=T0-1Tω0, N2=T0-1Tω0-N12, N3=T0-1Tω0-N13-3N1N2, N4=T0-1Tω0-N14-6N12N2-4N1N3-3N22.
Ω1,2,3=ImTrT0N1T0-1σ3,1,2,
Ωω1,2,3=ImTrT0N2T0-1σ3,1,2.

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