Abstract

We derive, for what is believed to be the first time, the autocorrelation function (ACF) of the polarization-mode dispersion (PMD) vector, which gives information on the bandwidths of the principal states of polarization. We compare the ACF with measured data and find good agreement. Finally, we apply the derived ACF to calculate the average pulse broadening that is due to PMD.

© 1999 Optical Society of America

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References

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  1. E. Kolltveit, P. A. Andrekson, J. Brentel, B. E. Olsson, B. Bahkshi, J. Hansryd, P. O. Hedekvist, M. Karlsson, H. Sunnerud, and J. Li, Electron. Lett. 35, 75 (1999).
    [CrossRef]
  2. G. J. Foschini and C. D. Poole, J. Lightwave Technol. 9, 1439 (1991).
    [CrossRef]
  3. C. D. Poole, J. H. Winters, and J. A. Nagel, Opt. Lett. 16, 372 (1991).
    [CrossRef] [PubMed]
  4. S. Betti, F. Curti, B. Daino, G. De Marchis, E. Iannonne, and F. Matera, Opt. Lett. 16, 467 (1991).
    [CrossRef] [PubMed]
  5. F. Bruyère, Opt. Fiber Technol. 2, 269 (1996).
    [CrossRef]
  6. O. Aso, Opt. Lett. 23, 1102 (1998).
    [CrossRef]
  7. N. Gisin and J. P. Pellaux, Opt. Commun. 89, 316 (1992).
    [CrossRef]
  8. L. F. Mollenauer, J. P. Gordon, and P. V. Mamyshev, in Optical Fiber Telecommunications IIIa, I. Kaminow, ed. (Academic, San Diego, Calif., 1997), Chap. 12.
  9. M. Karlsson, Opt. Lett. 23, 688 (1988).
    [CrossRef]
  10. J.-P. Elbers, C. Glingener, M. Düser, and E. Voges, Electron. Lett. 33, 1894 (1997).
    [CrossRef]

1999 (1)

E. Kolltveit, P. A. Andrekson, J. Brentel, B. E. Olsson, B. Bahkshi, J. Hansryd, P. O. Hedekvist, M. Karlsson, H. Sunnerud, and J. Li, Electron. Lett. 35, 75 (1999).
[CrossRef]

1998 (1)

1997 (1)

J.-P. Elbers, C. Glingener, M. Düser, and E. Voges, Electron. Lett. 33, 1894 (1997).
[CrossRef]

1996 (1)

F. Bruyère, Opt. Fiber Technol. 2, 269 (1996).
[CrossRef]

1992 (1)

N. Gisin and J. P. Pellaux, Opt. Commun. 89, 316 (1992).
[CrossRef]

1991 (3)

1988 (1)

Andrekson, P. A.

E. Kolltveit, P. A. Andrekson, J. Brentel, B. E. Olsson, B. Bahkshi, J. Hansryd, P. O. Hedekvist, M. Karlsson, H. Sunnerud, and J. Li, Electron. Lett. 35, 75 (1999).
[CrossRef]

Aso, O.

Bahkshi, B.

E. Kolltveit, P. A. Andrekson, J. Brentel, B. E. Olsson, B. Bahkshi, J. Hansryd, P. O. Hedekvist, M. Karlsson, H. Sunnerud, and J. Li, Electron. Lett. 35, 75 (1999).
[CrossRef]

Betti, S.

Brentel, J.

E. Kolltveit, P. A. Andrekson, J. Brentel, B. E. Olsson, B. Bahkshi, J. Hansryd, P. O. Hedekvist, M. Karlsson, H. Sunnerud, and J. Li, Electron. Lett. 35, 75 (1999).
[CrossRef]

Bruyère, F.

F. Bruyère, Opt. Fiber Technol. 2, 269 (1996).
[CrossRef]

Curti, F.

Daino, B.

De Marchis, G.

Düser, M.

J.-P. Elbers, C. Glingener, M. Düser, and E. Voges, Electron. Lett. 33, 1894 (1997).
[CrossRef]

Elbers, J.-P.

J.-P. Elbers, C. Glingener, M. Düser, and E. Voges, Electron. Lett. 33, 1894 (1997).
[CrossRef]

Foschini, G. J.

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

Gisin, N.

N. Gisin and J. P. Pellaux, Opt. Commun. 89, 316 (1992).
[CrossRef]

Glingener, C.

J.-P. Elbers, C. Glingener, M. Düser, and E. Voges, Electron. Lett. 33, 1894 (1997).
[CrossRef]

Gordon, J. P.

L. F. Mollenauer, J. P. Gordon, and P. V. Mamyshev, in Optical Fiber Telecommunications IIIa, I. Kaminow, ed. (Academic, San Diego, Calif., 1997), Chap. 12.

Hansryd, J.

E. Kolltveit, P. A. Andrekson, J. Brentel, B. E. Olsson, B. Bahkshi, J. Hansryd, P. O. Hedekvist, M. Karlsson, H. Sunnerud, and J. Li, Electron. Lett. 35, 75 (1999).
[CrossRef]

Hedekvist, P. O.

E. Kolltveit, P. A. Andrekson, J. Brentel, B. E. Olsson, B. Bahkshi, J. Hansryd, P. O. Hedekvist, M. Karlsson, H. Sunnerud, and J. Li, Electron. Lett. 35, 75 (1999).
[CrossRef]

Iannonne, E.

Karlsson, M.

E. Kolltveit, P. A. Andrekson, J. Brentel, B. E. Olsson, B. Bahkshi, J. Hansryd, P. O. Hedekvist, M. Karlsson, H. Sunnerud, and J. Li, Electron. Lett. 35, 75 (1999).
[CrossRef]

M. Karlsson, Opt. Lett. 23, 688 (1988).
[CrossRef]

Kolltveit, E.

E. Kolltveit, P. A. Andrekson, J. Brentel, B. E. Olsson, B. Bahkshi, J. Hansryd, P. O. Hedekvist, M. Karlsson, H. Sunnerud, and J. Li, Electron. Lett. 35, 75 (1999).
[CrossRef]

Li, J.

E. Kolltveit, P. A. Andrekson, J. Brentel, B. E. Olsson, B. Bahkshi, J. Hansryd, P. O. Hedekvist, M. Karlsson, H. Sunnerud, and J. Li, Electron. Lett. 35, 75 (1999).
[CrossRef]

Mamyshev, P. V.

L. F. Mollenauer, J. P. Gordon, and P. V. Mamyshev, in Optical Fiber Telecommunications IIIa, I. Kaminow, ed. (Academic, San Diego, Calif., 1997), Chap. 12.

Matera, F.

Mollenauer, L. F.

L. F. Mollenauer, J. P. Gordon, and P. V. Mamyshev, in Optical Fiber Telecommunications IIIa, I. Kaminow, ed. (Academic, San Diego, Calif., 1997), Chap. 12.

Nagel, J. A.

Olsson, B. E.

E. Kolltveit, P. A. Andrekson, J. Brentel, B. E. Olsson, B. Bahkshi, J. Hansryd, P. O. Hedekvist, M. Karlsson, H. Sunnerud, and J. Li, Electron. Lett. 35, 75 (1999).
[CrossRef]

Pellaux, J. P.

N. Gisin and J. P. Pellaux, Opt. Commun. 89, 316 (1992).
[CrossRef]

Poole, C. D.

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

C. D. Poole, J. H. Winters, and J. A. Nagel, Opt. Lett. 16, 372 (1991).
[CrossRef] [PubMed]

Sunnerud, H.

E. Kolltveit, P. A. Andrekson, J. Brentel, B. E. Olsson, B. Bahkshi, J. Hansryd, P. O. Hedekvist, M. Karlsson, H. Sunnerud, and J. Li, Electron. Lett. 35, 75 (1999).
[CrossRef]

Voges, E.

J.-P. Elbers, C. Glingener, M. Düser, and E. Voges, Electron. Lett. 33, 1894 (1997).
[CrossRef]

Winters, J. H.

Electron. Lett. (2)

E. Kolltveit, P. A. Andrekson, J. Brentel, B. E. Olsson, B. Bahkshi, J. Hansryd, P. O. Hedekvist, M. Karlsson, H. Sunnerud, and J. Li, Electron. Lett. 35, 75 (1999).
[CrossRef]

J.-P. Elbers, C. Glingener, M. Düser, and E. Voges, Electron. Lett. 33, 1894 (1997).
[CrossRef]

J. Lightwave Technol. (1)

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

Opt. Commun. (1)

N. Gisin and J. P. Pellaux, Opt. Commun. 89, 316 (1992).
[CrossRef]

Opt. Fiber Technol. (1)

F. Bruyère, Opt. Fiber Technol. 2, 269 (1996).
[CrossRef]

Opt. Lett. (4)

Other (1)

L. F. Mollenauer, J. P. Gordon, and P. V. Mamyshev, in Optical Fiber Telecommunications IIIa, I. Kaminow, ed. (Academic, San Diego, Calif., 1997), Chap. 12.

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Figures (1)

Fig. 1
Fig. 1

Theoretical ACF’s of the PMD vector from Eq. (6) (thick curves) versus the two independently measured ACF’s (thin curves).

Equations (8)

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

Ωn=dγndωen+MnΩn-1.
EMnω1Mnω2-1=IaΔγn,
gnω1, ω2=dγndω2+aΔγngn-1ω1, ω2.
gnΔω=t21+a+a2+an-1=t21-an1-a.
aΔω1-EΔτ2Δω23n+O1n2,
gΩΔω=31-exp-EΔτ2Δω23Δω2.
τ2=τ02+14Ω2-Ω·j2,
Eτ2=T22+14EΔτ2-T21+2EΔτ23T21/2-1.

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