Abstract

Measurements of birefringence correlation length performed on long single-mode telecommunication fibers are reported. The proposed technique relies on the statistical properties of the backscattered-field polarization, which was measured by means of a polarization-sensitive optical time-domain reflectometer. Experimental results are reported that show good agreement with the underlying theory based on stochastic differential equations.

© 2001 Optical Society of America

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References

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  1. R. Ulrich and A. Simon, Appl. Opt. 18, 2241 (1979).
    [CrossRef] [PubMed]
  2. A. J. Rogers, Appl. Opt. 20, 1060 (1981).
    [CrossRef] [PubMed]
  3. F. Corsi, A. Galtarossa, and L. Palmieri, J. Lightwave Technol. 17, 1172 (1999).
    [CrossRef]
  4. B. Huttner, J. Reecht, N. Gisin, R. Passy, and J. P. von der Weid, IEEE Photon. Technol. Lett. 10, 1458 (1998).
    [CrossRef]
  5. T. Gogolla and K. Krebber, J. Lightwave Technol. 18, 320 (2000).
    [CrossRef]
  6. A. Galtarossa, L. Palmieri, M. Schiano, and T. Tambosso, Opt. Lett. 25, 1322 (2000).
    [CrossRef]
  7. P. K. A. Wai and C. R. Menyuk, J. Lightwave Technol. 14, 148 (1996).
    [CrossRef]
  8. A. Galtarossa, L. Palmieri, A. Pizzinat, G. Roba, and D. Sarchi, in Digest of Optical Fiber Communication Conference (OFC) (Optical Society of America, Washington, D.C., 2001), paper ThA2.
  9. A. Galtarossa, L. Palmieri, M. Schiano, and T. Tambosso, in Digest of Optical Fiber Communication Conference (OFC) (Optical Society of America, Washington, D.C., 2001), paper ThA8.
  10. B. Øksendal, Stochastic Differential Equations (Springer-Verlag, Berlin, 1985).
    [CrossRef]
  11. A. Papoulis, Probability, Random Variables and Stochastic Processes (McGraw-Hill, New York, 1984), pp. 345–353.
  12. B. L. Heffner, IEEE Photon. Technol. Lett. 4, 1066 (1992).
    [CrossRef]

2000 (2)

1999 (1)

1998 (1)

B. Huttner, J. Reecht, N. Gisin, R. Passy, and J. P. von der Weid, IEEE Photon. Technol. Lett. 10, 1458 (1998).
[CrossRef]

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]

1981 (1)

1979 (1)

Corsi, F.

Galtarossa, A.

A. Galtarossa, L. Palmieri, M. Schiano, and T. Tambosso, Opt. Lett. 25, 1322 (2000).
[CrossRef]

F. Corsi, A. Galtarossa, and L. Palmieri, J. Lightwave Technol. 17, 1172 (1999).
[CrossRef]

A. Galtarossa, L. Palmieri, A. Pizzinat, G. Roba, and D. Sarchi, in Digest of Optical Fiber Communication Conference (OFC) (Optical Society of America, Washington, D.C., 2001), paper ThA2.

A. Galtarossa, L. Palmieri, M. Schiano, and T. Tambosso, in Digest of Optical Fiber Communication Conference (OFC) (Optical Society of America, Washington, D.C., 2001), paper ThA8.

Gisin, N.

B. Huttner, J. Reecht, N. Gisin, R. Passy, and J. P. von der Weid, IEEE Photon. Technol. Lett. 10, 1458 (1998).
[CrossRef]

Gogolla, T.

Heffner, B. L.

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

Huttner, B.

B. Huttner, J. Reecht, N. Gisin, R. Passy, and J. P. von der Weid, IEEE Photon. Technol. Lett. 10, 1458 (1998).
[CrossRef]

Krebber, K.

Menyuk, C. R.

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

Øksendal, B.

B. Øksendal, Stochastic Differential Equations (Springer-Verlag, Berlin, 1985).
[CrossRef]

Palmieri, L.

A. Galtarossa, L. Palmieri, M. Schiano, and T. Tambosso, Opt. Lett. 25, 1322 (2000).
[CrossRef]

F. Corsi, A. Galtarossa, and L. Palmieri, J. Lightwave Technol. 17, 1172 (1999).
[CrossRef]

A. Galtarossa, L. Palmieri, M. Schiano, and T. Tambosso, in Digest of Optical Fiber Communication Conference (OFC) (Optical Society of America, Washington, D.C., 2001), paper ThA8.

A. Galtarossa, L. Palmieri, A. Pizzinat, G. Roba, and D. Sarchi, in Digest of Optical Fiber Communication Conference (OFC) (Optical Society of America, Washington, D.C., 2001), paper ThA2.

Papoulis, A.

A. Papoulis, Probability, Random Variables and Stochastic Processes (McGraw-Hill, New York, 1984), pp. 345–353.

Passy, R.

B. Huttner, J. Reecht, N. Gisin, R. Passy, and J. P. von der Weid, IEEE Photon. Technol. Lett. 10, 1458 (1998).
[CrossRef]

Pizzinat, A.

A. Galtarossa, L. Palmieri, A. Pizzinat, G. Roba, and D. Sarchi, in Digest of Optical Fiber Communication Conference (OFC) (Optical Society of America, Washington, D.C., 2001), paper ThA2.

Reecht, J.

B. Huttner, J. Reecht, N. Gisin, R. Passy, and J. P. von der Weid, IEEE Photon. Technol. Lett. 10, 1458 (1998).
[CrossRef]

Roba, G.

A. Galtarossa, L. Palmieri, A. Pizzinat, G. Roba, and D. Sarchi, in Digest of Optical Fiber Communication Conference (OFC) (Optical Society of America, Washington, D.C., 2001), paper ThA2.

Rogers, A. J.

Sarchi, D.

A. Galtarossa, L. Palmieri, A. Pizzinat, G. Roba, and D. Sarchi, in Digest of Optical Fiber Communication Conference (OFC) (Optical Society of America, Washington, D.C., 2001), paper ThA2.

Schiano, M.

A. Galtarossa, L. Palmieri, M. Schiano, and T. Tambosso, Opt. Lett. 25, 1322 (2000).
[CrossRef]

A. Galtarossa, L. Palmieri, M. Schiano, and T. Tambosso, in Digest of Optical Fiber Communication Conference (OFC) (Optical Society of America, Washington, D.C., 2001), paper ThA8.

Simon, A.

Tambosso, T.

A. Galtarossa, L. Palmieri, M. Schiano, and T. Tambosso, Opt. Lett. 25, 1322 (2000).
[CrossRef]

A. Galtarossa, L. Palmieri, M. Schiano, and T. Tambosso, in Digest of Optical Fiber Communication Conference (OFC) (Optical Society of America, Washington, D.C., 2001), paper ThA8.

Ulrich, R.

von der Weid, J. P.

B. Huttner, J. Reecht, N. Gisin, R. Passy, and J. P. von der Weid, IEEE Photon. Technol. Lett. 10, 1458 (1998).
[CrossRef]

Wai, P. K. A.

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

Appl. Opt. (2)

IEEE Photon. Technol. Lett. (2)

B. Huttner, J. Reecht, N. Gisin, R. Passy, and J. P. von der Weid, IEEE Photon. Technol. Lett. 10, 1458 (1998).
[CrossRef]

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

J. Lightwave Technol. (3)

Opt. Lett. (1)

Other (4)

A. Galtarossa, L. Palmieri, A. Pizzinat, G. Roba, and D. Sarchi, in Digest of Optical Fiber Communication Conference (OFC) (Optical Society of America, Washington, D.C., 2001), paper ThA2.

A. Galtarossa, L. Palmieri, M. Schiano, and T. Tambosso, in Digest of Optical Fiber Communication Conference (OFC) (Optical Society of America, Washington, D.C., 2001), paper ThA8.

B. Øksendal, Stochastic Differential Equations (Springer-Verlag, Berlin, 1985).
[CrossRef]

A. Papoulis, Probability, Random Variables and Stochastic Processes (McGraw-Hill, New York, 1984), pp. 345–353.

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Figures (3)

Fig. 1
Fig. 1

Schematic diagram of the experimental setup.

Fig. 2
Fig. 2

Experimental correlation of βB1z measured on a G.652 fiber (continuous curve) compared with the theoretical best fit given by Eq.  (4) (dashed curve, LF=5.4 m).

Fig. 3
Fig. 3

Experimental correlation of βB1z measured on one of the innermost fibers of a G.652 four-fiber ribbon (continuous curve) compared with the theoretical best fit given by Eq.  (4) (dashed curve, LF=20.4 m).

Tables (1)

Tables Icon

Table 1 Measurements of LB, LF, and Δτ

Equations (10)

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dβidz=-ρβiz+σηiz,i=1,2,
rβz,u=Eβizβiz+u=σβ2exp-ρu,
β¯Bz=2MRTzβ¯Lz=2MRTzβ¯z,
rβBz,u=σβB2exp-ρu,
ddz(β1β2c1c2c3)=(σ00σ000000)η1η2+(-ρβ1-ρβ2β2c3-β1c3β1c2-β2c1).
A=β2c3c1-β1c3c2+β1c2-β2c1c3-ρβ1β1+β2β2+σ222β12+2β22.
rβBz,uu=uEEzβB1zβB1z+u=EβB1zuEzβB1z+u;
EzβB1z+uu=EzAβB1z+u,
rβBz,uu=-ρrβBz,u,
Δτ2=138 λLFπcLB2exp-L/LF+LLF-1,

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