Abstract

We have developed a reduced model of the evolution of the polarization states of the channels in a wavelength-division-multiplexed system that follows only the Stokes parameters for each channel. We apply this model to demonstrating that the expected repolarization of polarization-scrambled signals is small. We verify our results by comparing them with numerical simulations with realistic parameters.

© 1998 Optical Society of America

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References

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  1. C. R. Menyuk, D. Wang, and A. N. Pilipetskii, IEEE Photon. Technol. 9, 1247 (1997).
    [Crossref]
  2. N. S. Bergano, C. R. Davidson, and F. Heismann, Electron. Lett. 32, 52 (1996).
    [Crossref]
  3. E. Lichtman, J. Lightwave Technol. 13, 906 (1995).
    [Crossref]
  4. P. K. A. Wai and C. R. Menyuk, J. Lightwave Technol. 14, 148 (1996).
    [Crossref]
  5. D. Marcuse, C. R. Menyuk, and P. K. A. Wai, J. Lightwave Technol. 15, 1735 (1997).
    [Crossref]
  6. L. F. Mollenauer, J. P. Gordon, and F. Heisman, Opt. Lett. 20, 2060 (1995).
    [Crossref] [PubMed]
  7. P. D. Maker and R. W. Terhune, Phys. Rev. 137, A801 (1965).
    [Crossref]

1997 (2)

C. R. Menyuk, D. Wang, and A. N. Pilipetskii, IEEE Photon. Technol. 9, 1247 (1997).
[Crossref]

D. Marcuse, C. R. Menyuk, and P. K. A. Wai, J. Lightwave Technol. 15, 1735 (1997).
[Crossref]

1996 (2)

N. S. Bergano, C. R. Davidson, and F. Heismann, Electron. Lett. 32, 52 (1996).
[Crossref]

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

1995 (2)

1965 (1)

P. D. Maker and R. W. Terhune, Phys. Rev. 137, A801 (1965).
[Crossref]

Bergano, N. S.

N. S. Bergano, C. R. Davidson, and F. Heismann, Electron. Lett. 32, 52 (1996).
[Crossref]

Davidson, C. R.

N. S. Bergano, C. R. Davidson, and F. Heismann, Electron. Lett. 32, 52 (1996).
[Crossref]

Gordon, J. P.

Heisman, F.

Heismann, F.

N. S. Bergano, C. R. Davidson, and F. Heismann, Electron. Lett. 32, 52 (1996).
[Crossref]

Lichtman, E.

E. Lichtman, J. Lightwave Technol. 13, 906 (1995).
[Crossref]

Maker, P. D.

P. D. Maker and R. W. Terhune, Phys. Rev. 137, A801 (1965).
[Crossref]

Marcuse, D.

D. Marcuse, C. R. Menyuk, and P. K. A. Wai, J. Lightwave Technol. 15, 1735 (1997).
[Crossref]

Menyuk, C. R.

D. Marcuse, C. R. Menyuk, and P. K. A. Wai, J. Lightwave Technol. 15, 1735 (1997).
[Crossref]

C. R. Menyuk, D. Wang, and A. N. Pilipetskii, IEEE Photon. Technol. 9, 1247 (1997).
[Crossref]

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

Mollenauer, L. F.

Pilipetskii, A. N.

C. R. Menyuk, D. Wang, and A. N. Pilipetskii, IEEE Photon. Technol. 9, 1247 (1997).
[Crossref]

Terhune, R. W.

P. D. Maker and R. W. Terhune, Phys. Rev. 137, A801 (1965).
[Crossref]

Wai, P. K. A.

D. Marcuse, C. R. Menyuk, and P. K. A. Wai, J. Lightwave Technol. 15, 1735 (1997).
[Crossref]

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

Wang, D.

C. R. Menyuk, D. Wang, and A. N. Pilipetskii, IEEE Photon. Technol. 9, 1247 (1997).
[Crossref]

Electron. Lett. (1)

N. S. Bergano, C. R. Davidson, and F. Heismann, Electron. Lett. 32, 52 (1996).
[Crossref]

IEEE Photon. Technol. (1)

C. R. Menyuk, D. Wang, and A. N. Pilipetskii, IEEE Photon. Technol. 9, 1247 (1997).
[Crossref]

J. Lightwave Technol. (3)

E. Lichtman, J. Lightwave Technol. 13, 906 (1995).
[Crossref]

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

D. Marcuse, C. R. Menyuk, and P. K. A. Wai, J. Lightwave Technol. 15, 1735 (1997).
[Crossref]

Opt. Lett. (1)

Phys. Rev. (1)

P. D. Maker and R. W. Terhune, Phys. Rev. 137, A801 (1965).
[Crossref]

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Figures (2)

Fig. 1
Fig. 1

Evolution of the Stokes vector components as a function of distance. Solid curves, the Stokes components of channel 1; dashed curves, the Stokes components of channel 2. (a) Analytical result. (b) Simulation result: D1=-20 ps/nm km, D2=17 ps/nm km. (c) Simulation result: D1=-2 ps/nm km, D2=170 ps/nm km. Parameter values: δx=0 and δy=0 for both channels; ψ=1.5 for channel 1 and ψ=0.8 for channel 2; path-averaged power in the x polarization, 0.22 mW, and in the y polarization, 0.2 mW, for both channels.

Fig. 2
Fig. 2

Evolution of the degree of polarization of two channels as a function of distance with D1=-2 ps/nm km and D2=17 ps/nm km. The parameter values are the same as for Fig. 1.

Equations (11)

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

iUz-β22Ut2+γUUU=0,
U=m=1nUm expikmz-iωmt,
iUmz-β22Umt2+γUmUmUm+γq=1,mnUqUqUm+γq=1,mnUqUmUq=0,
S0m=1Tt1t2uxmt2+uym2dt,
S1m=1Tt1t2uxmt2-uym2dt,
S2m=2Tt1t2Reuxmtuym*tdt,
S3m=2Tt1t2Imuxmtuym*tdt,
dS1mdz=iγTt1t2uxmuym*+uxm*uym×q=1,mnuxquyq*-uxq*uyq-uxmuym*-uxm*uym×q=1,mnuxquyq*+uxq*uyqdt.
uxquyq*-uxq*uyq1Tt1t2uxquyq*-uxq*uyqdt,
dS1mdz=γq=1nS2mS3q-S3mS2q.
dSmdz=γSm×q=1nSq.

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