Abstract

The statistical properties of the random birefringence that affects long single-mode fibers are experimentally evaluated by means of a polarization-sensitive optical time-domain reflectometry. The measurements are in good agreement with theoretical predictions and show, for what we believe is the first time, that the components of the local birefringence vector are Gaussian random variables.

© 2000 Optical Society of America

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References

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  1. C. D. Poole and J. Nagel, in Optical Fiber Telecommunications, I. P. Kaminow and T. Koch, eds. (Academic, San Diego, Calif., 1997).
  2. F. Heissman, tutorial paper presented at the 24th European Conference on Optical Communication, Madrid, Spain, September, 1998.
  3. G. J. Foschini and C. D. Poole, J. Lightwave Technol. 9, 1439 (1991).
    [CrossRef]
  4. P. K. A. Wai and C. R. Menyuk, J. Lightwave Technol. 14, 148 (1996).
    [CrossRef]
  5. A. J. Rogers, Appl. Opt. 20, 1060 (1981).
    [CrossRef] [PubMed]
  6. F. Corsi, A. Galtarossa, and L. Palmieri, J. Lightwave Technol. 17, 1172 (1999).
    [CrossRef]
  7. A. Galtarossa, L. Palmieri, M. Schiano, and T. Tambosso, Opt. Lett. 25, 384 (2000).
    [CrossRef]
  8. F. Corsi, A. Galtarossa, and L. Palmieri, J. Opt. Soc. Am. A 16, 574 (1999).
    [CrossRef]
  9. R. M. Jopson, L. E. Nelson, and H. Kogelnik, IEEE Photon. Technol. Lett. 11, 1153 (1999).
    [CrossRef]
  10. B. L. Heffner, IEEE Photon. Technol. Lett. 4, 1066 (1992).
    [CrossRef]
  11. A. Galtarossa, L. Palmieri, M. Schiano, and T. Tambosso, J. Lightwave Technol. 17, 1835 (1999).
    [CrossRef]

2000 (1)

1999 (4)

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]

1981 (1)

Corsi, F.

Foschini, G. J.

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

Galtarossa, A.

Heffner, B. L.

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

Heissman, F.

F. Heissman, tutorial paper presented at the 24th European Conference on Optical Communication, Madrid, Spain, September, 1998.

Jopson, R. M.

R. M. Jopson, L. E. Nelson, and H. Kogelnik, IEEE Photon. Technol. Lett. 11, 1153 (1999).
[CrossRef]

Kogelnik, H.

R. M. Jopson, L. E. Nelson, and H. Kogelnik, IEEE Photon. Technol. Lett. 11, 1153 (1999).
[CrossRef]

Menyuk, C. R.

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

Nagel, J.

C. D. Poole and J. Nagel, in Optical Fiber Telecommunications, I. P. Kaminow and T. Koch, eds. (Academic, San Diego, Calif., 1997).

Nelson, L. E.

R. M. Jopson, L. E. Nelson, and H. Kogelnik, IEEE Photon. Technol. Lett. 11, 1153 (1999).
[CrossRef]

Palmieri, L.

Poole, C. D.

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

C. D. Poole and J. Nagel, in Optical Fiber Telecommunications, I. P. Kaminow and T. Koch, eds. (Academic, San Diego, Calif., 1997).

Rogers, A. J.

Schiano, M.

Tambosso, T.

Wai, P. K. A.

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

Appl. Opt. (1)

IEEE Photon. Technol. Lett. (2)

R. M. Jopson, L. E. Nelson, and H. Kogelnik, IEEE Photon. Technol. Lett. 11, 1153 (1999).
[CrossRef]

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

J. Lightwave Technol. (4)

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

Opt. Lett. (1)

Other (2)

C. D. Poole and J. Nagel, in Optical Fiber Telecommunications, I. P. Kaminow and T. Koch, eds. (Academic, San Diego, Calif., 1997).

F. Heissman, tutorial paper presented at the 24th European Conference on Optical Communication, Madrid, Spain, September, 1998.

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Figures (5)

Fig. 1
Fig. 1

Schematic of the experimental setup: OTDR, optical time-domain reflectometer; , points defined in text; EDFA, erbium-doped fiber amplifier.

Fig. 2
Fig. 2

PDF of βB for a SI fiber. Histogram, experimental data; curve, Eq. (5) with βB=0.44 m-1.

Fig. 3
Fig. 3

PDF of the first component of β¯B for a SI fiber (similar results hold for the other two components). Histogram, experimental data; curve, Eq. (6) with βB=0.44 m-1.

Fig. 4
Fig. 4

PDF of βB for a DS fiber. Histogram, experimental data; curve, Eq. (5) with βB=0.98 m-1.

Fig. 5
Fig. 5

Values of LB measured with the MMM compared with those measured on the same fiber with LCR analysis. Triangles, SI fibers; dots, DS fiber.

Equations (7)

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sˆBz=β¯Bz×sˆBz,
β¯Bz=2MRTzβ¯Lz.
2 cosβBΔz=Tr RΔ-1,
2βˆB×sinβBΔz=RΔ-RΔT,
fβBa=πa2βB2exp-πa24βB2,
fβB1a=π4βB1-erfaπ2βB,
P=1-0π/ΔzfβBada=exp-πLB264Δz2.

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