Abstract

We analyze the evolution of the polarization state of a signal in a recirculating loop with polarization-dependent loss. We show that the polarization-state evolution in experiments is in qualitative agreement with our analysis, and we discuss the relationship between the polarization-state evolution and the Q factor.

© 2002 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. Y. Sun, I. T. Lima, H. Jiao, J. Wen, H. Xu, H. Ereifej, G. M. Carter, and C. R. Menyuk, IEEE Photon. Technol. Lett. 13, 966 (2001).
  2. S. Lee, Q. Yu, L.-S. Yan, Y. Xie, O. H. Adamczyk, and A. E. Willner, in Optical Fiber Communication Conference (OFC), Vol. 54 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2001), paper WT2 (2001).
  3. G. M. Carter, R.-M. Mu, V. S. Grigoryan, C. R. Menyuk, P. Sinha, T. F. Carruthers, M. L. Dennis, and I. N. Dulling, Electron. Lett. 35, 233 (1999).
  4. Y. Sun, B. S. Marks, I. T. Lima, K. Allen, G. M. Carter, and C. R. Menyuk, in Optical Fiber Communication Conference, Vol. 70 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2002), paper ThI4.
  5. J. Kevorkian and J. D. Cole, Multiple Scale and Singular Perturbation Methods (Springer-Verlag, New York, 1996).
  6. B. Huttner, C. Geiser, and N. Gisin, J. Sel. Top. Quantum Electron.6, 317 (2000).

2001

Y. Sun, I. T. Lima, H. Jiao, J. Wen, H. Xu, H. Ereifej, G. M. Carter, and C. R. Menyuk, IEEE Photon. Technol. Lett. 13, 966 (2001).

1999

G. M. Carter, R.-M. Mu, V. S. Grigoryan, C. R. Menyuk, P. Sinha, T. F. Carruthers, M. L. Dennis, and I. N. Dulling, Electron. Lett. 35, 233 (1999).

Adamczyk, O. H.

S. Lee, Q. Yu, L.-S. Yan, Y. Xie, O. H. Adamczyk, and A. E. Willner, in Optical Fiber Communication Conference (OFC), Vol. 54 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2001), paper WT2 (2001).

Allen, K.

Y. Sun, B. S. Marks, I. T. Lima, K. Allen, G. M. Carter, and C. R. Menyuk, in Optical Fiber Communication Conference, Vol. 70 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2002), paper ThI4.

Carruthers, T. F.

G. M. Carter, R.-M. Mu, V. S. Grigoryan, C. R. Menyuk, P. Sinha, T. F. Carruthers, M. L. Dennis, and I. N. Dulling, Electron. Lett. 35, 233 (1999).

Carter, G. M.

Y. Sun, I. T. Lima, H. Jiao, J. Wen, H. Xu, H. Ereifej, G. M. Carter, and C. R. Menyuk, IEEE Photon. Technol. Lett. 13, 966 (2001).

G. M. Carter, R.-M. Mu, V. S. Grigoryan, C. R. Menyuk, P. Sinha, T. F. Carruthers, M. L. Dennis, and I. N. Dulling, Electron. Lett. 35, 233 (1999).

Y. Sun, B. S. Marks, I. T. Lima, K. Allen, G. M. Carter, and C. R. Menyuk, in Optical Fiber Communication Conference, Vol. 70 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2002), paper ThI4.

Cole, J. D.

J. Kevorkian and J. D. Cole, Multiple Scale and Singular Perturbation Methods (Springer-Verlag, New York, 1996).

Dennis, M. L.

G. M. Carter, R.-M. Mu, V. S. Grigoryan, C. R. Menyuk, P. Sinha, T. F. Carruthers, M. L. Dennis, and I. N. Dulling, Electron. Lett. 35, 233 (1999).

Dulling, I. N.

G. M. Carter, R.-M. Mu, V. S. Grigoryan, C. R. Menyuk, P. Sinha, T. F. Carruthers, M. L. Dennis, and I. N. Dulling, Electron. Lett. 35, 233 (1999).

Ereifej, H.

Y. Sun, I. T. Lima, H. Jiao, J. Wen, H. Xu, H. Ereifej, G. M. Carter, and C. R. Menyuk, IEEE Photon. Technol. Lett. 13, 966 (2001).

Geiser, C.

B. Huttner, C. Geiser, and N. Gisin, J. Sel. Top. Quantum Electron.6, 317 (2000).

Gisin, N.

B. Huttner, C. Geiser, and N. Gisin, J. Sel. Top. Quantum Electron.6, 317 (2000).

Grigoryan, V. S.

G. M. Carter, R.-M. Mu, V. S. Grigoryan, C. R. Menyuk, P. Sinha, T. F. Carruthers, M. L. Dennis, and I. N. Dulling, Electron. Lett. 35, 233 (1999).

Huttner, B.

B. Huttner, C. Geiser, and N. Gisin, J. Sel. Top. Quantum Electron.6, 317 (2000).

Jiao, H.

Y. Sun, I. T. Lima, H. Jiao, J. Wen, H. Xu, H. Ereifej, G. M. Carter, and C. R. Menyuk, IEEE Photon. Technol. Lett. 13, 966 (2001).

Kevorkian, J.

J. Kevorkian and J. D. Cole, Multiple Scale and Singular Perturbation Methods (Springer-Verlag, New York, 1996).

Lee, S.

S. Lee, Q. Yu, L.-S. Yan, Y. Xie, O. H. Adamczyk, and A. E. Willner, in Optical Fiber Communication Conference (OFC), Vol. 54 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2001), paper WT2 (2001).

Lima, I. T.

Y. Sun, I. T. Lima, H. Jiao, J. Wen, H. Xu, H. Ereifej, G. M. Carter, and C. R. Menyuk, IEEE Photon. Technol. Lett. 13, 966 (2001).

Y. Sun, B. S. Marks, I. T. Lima, K. Allen, G. M. Carter, and C. R. Menyuk, in Optical Fiber Communication Conference, Vol. 70 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2002), paper ThI4.

Marks, B. S.

Y. Sun, B. S. Marks, I. T. Lima, K. Allen, G. M. Carter, and C. R. Menyuk, in Optical Fiber Communication Conference, Vol. 70 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2002), paper ThI4.

Menyuk, C. R.

Y. Sun, I. T. Lima, H. Jiao, J. Wen, H. Xu, H. Ereifej, G. M. Carter, and C. R. Menyuk, IEEE Photon. Technol. Lett. 13, 966 (2001).

G. M. Carter, R.-M. Mu, V. S. Grigoryan, C. R. Menyuk, P. Sinha, T. F. Carruthers, M. L. Dennis, and I. N. Dulling, Electron. Lett. 35, 233 (1999).

Y. Sun, B. S. Marks, I. T. Lima, K. Allen, G. M. Carter, and C. R. Menyuk, in Optical Fiber Communication Conference, Vol. 70 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2002), paper ThI4.

Mu, R.-M.

G. M. Carter, R.-M. Mu, V. S. Grigoryan, C. R. Menyuk, P. Sinha, T. F. Carruthers, M. L. Dennis, and I. N. Dulling, Electron. Lett. 35, 233 (1999).

Sinha, P.

G. M. Carter, R.-M. Mu, V. S. Grigoryan, C. R. Menyuk, P. Sinha, T. F. Carruthers, M. L. Dennis, and I. N. Dulling, Electron. Lett. 35, 233 (1999).

Sun, Y.

Y. Sun, I. T. Lima, H. Jiao, J. Wen, H. Xu, H. Ereifej, G. M. Carter, and C. R. Menyuk, IEEE Photon. Technol. Lett. 13, 966 (2001).

Y. Sun, B. S. Marks, I. T. Lima, K. Allen, G. M. Carter, and C. R. Menyuk, in Optical Fiber Communication Conference, Vol. 70 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2002), paper ThI4.

Wen, J.

Y. Sun, I. T. Lima, H. Jiao, J. Wen, H. Xu, H. Ereifej, G. M. Carter, and C. R. Menyuk, IEEE Photon. Technol. Lett. 13, 966 (2001).

Willner, A. E.

S. Lee, Q. Yu, L.-S. Yan, Y. Xie, O. H. Adamczyk, and A. E. Willner, in Optical Fiber Communication Conference (OFC), Vol. 54 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2001), paper WT2 (2001).

Xie, Y.

S. Lee, Q. Yu, L.-S. Yan, Y. Xie, O. H. Adamczyk, and A. E. Willner, in Optical Fiber Communication Conference (OFC), Vol. 54 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2001), paper WT2 (2001).

Xu, H.

Y. Sun, I. T. Lima, H. Jiao, J. Wen, H. Xu, H. Ereifej, G. M. Carter, and C. R. Menyuk, IEEE Photon. Technol. Lett. 13, 966 (2001).

Yan, L.-S.

S. Lee, Q. Yu, L.-S. Yan, Y. Xie, O. H. Adamczyk, and A. E. Willner, in Optical Fiber Communication Conference (OFC), Vol. 54 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2001), paper WT2 (2001).

Yu, Q.

S. Lee, Q. Yu, L.-S. Yan, Y. Xie, O. H. Adamczyk, and A. E. Willner, in Optical Fiber Communication Conference (OFC), Vol. 54 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2001), paper WT2 (2001).

Electron. Lett.

G. M. Carter, R.-M. Mu, V. S. Grigoryan, C. R. Menyuk, P. Sinha, T. F. Carruthers, M. L. Dennis, and I. N. Dulling, Electron. Lett. 35, 233 (1999).

IEEE Photon. Technol. Lett.

Y. Sun, I. T. Lima, H. Jiao, J. Wen, H. Xu, H. Ereifej, G. M. Carter, and C. R. Menyuk, IEEE Photon. Technol. Lett. 13, 966 (2001).

Other

S. Lee, Q. Yu, L.-S. Yan, Y. Xie, O. H. Adamczyk, and A. E. Willner, in Optical Fiber Communication Conference (OFC), Vol. 54 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2001), paper WT2 (2001).

Y. Sun, B. S. Marks, I. T. Lima, K. Allen, G. M. Carter, and C. R. Menyuk, in Optical Fiber Communication Conference, Vol. 70 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2002), paper ThI4.

J. Kevorkian and J. D. Cole, Multiple Scale and Singular Perturbation Methods (Springer-Verlag, New York, 1996).

B. Huttner, C. Geiser, and N. Gisin, J. Sel. Top. Quantum Electron.6, 317 (2000).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (1)

Fig. 1
Fig. 1

Experimentally measured evolution of the polarization state on the Poincaré sphere, showing spiral behavior that corresponds to (a) a high Q value with a spiral inward, (b) a low Q value with an outgoing spiral, and (c) a medium Q value with a nearly circular trajectory around the sphere. The gray scale denotes transmission distance, where dark to light indicates increasing propagation distance.

Equations (14)

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

uin=c+u++c-u-,
uout=Tuin=c+λ+nu++c-λ-nu-.
sout=c+2λ+2ns++c-2λ-2ns-+2c+c-λ+λ-nResc exp-inΔϕ+Δψ,
Mloop=MPDLMrot,
Mrot=cos γ+ix sin γ-z-iysin γz+iysin γcos γ-ix sin γ.
MPDL=1001-.
u0=22x-1/2z-iyix1,
Mrot-λ0Iu1=0001Mrot+λ1Iu0,
u1=iku0+u1iku0+csc γ22exp±iγ1x01,
s±1=2 Reu0σ3u1u0σ1u1-u0σ2u1=121xzcotγy-ycotγ±z.
s±=±sˆrot+½sˆPDLsˆrot+sˆrot×sˆPDLcot γ+O2.
expiϕ±=λ±/λ±=exp±iγ+O2,
sc=itˆ1-tˆ21-/21+i cot γ+O2,
sout=A+nc+2s++A-nc-2s-+2Bnc+c-tˆ1 sinζn-tˆ2 cosζn+/2tˆ1cot γ cos ζn-sin ζn+tˆ2cos ζn+cot γ sin ζn+O2,

Metrics