Abstract

A Jones matrix is constructed for a fiber that exhibits first- and second-order polarization mode dispersion (PMD). It permits the modeling of pulse transmission for fibers whose PMD vectors have been measured or whose statistics have been determined by established PMD theory. The central portion of our model is a correction to the Bruyère model.

© 2000 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. C. D. Poole and R. E. Wagner, Electron. Lett. 22, 1029 (1986).
    [CrossRef]
  2. D. Andresciani, F. Curti, F. Matera, and B. Daino, Opt. Lett. 12, 844 (1987).
    [CrossRef] [PubMed]
  3. B. L. Heffner, IEEE Photon. Technol. Lett. 5, 814 (1993).
    [CrossRef]
  4. R. M. Jopson, L. E. Nelson, and H. Kogelnik, IEEE Photon. Technol. Lett. 11, 1153 (1999).
    [CrossRef]
  5. G. J. Foschini and C. D. Poole, J. Lightwave Technol. 9, 1439 (1991).
    [CrossRef]
  6. P. K. Wai and C. R. Menyuk, J. Lightwave Technol. 14, 148 (1996).
    [CrossRef]
  7. G. J. Foschini, R. M. Jopson, L. E. Nelson, and H. Kogelnik, J. Lightwave Technol. 17, 1560 (1999).
    [CrossRef]
  8. F. Bruyère, Opt. Fiber Technol. 2, 269 (1996).
    [CrossRef]
  9. C. Francia, F. Bruyère, D. Penninckx, and M. Chbat, IEEE Photon. Technol. Lett. 10, 1739 (1998).
    [CrossRef]
  10. C. D. Poole and C. R. Giles, Opt. Lett. 13, 155 (1988).
    [CrossRef]
  11. H. Bülow, IEEE Photon. Technol. Lett. 10, 696 (1998).
    [CrossRef]
  12. C. Vassallo, Electron. Lett. 31, 1597 (1995).
    [CrossRef]
  13. D. Penninckx and V. Morenas, Opt. Lett. 24, 875 (1999).
    [CrossRef]
  14. L. Moeller and H. Kogelnik, presented at 25th European Conference on Optical Communications, Nice, France, September 26–30, 1999.

1999 (3)

1998 (2)

C. Francia, F. Bruyère, D. Penninckx, and M. Chbat, IEEE Photon. Technol. Lett. 10, 1739 (1998).
[CrossRef]

H. Bülow, IEEE Photon. Technol. Lett. 10, 696 (1998).
[CrossRef]

1996 (2)

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

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

1995 (1)

C. Vassallo, Electron. Lett. 31, 1597 (1995).
[CrossRef]

1993 (1)

B. L. Heffner, IEEE Photon. Technol. Lett. 5, 814 (1993).
[CrossRef]

1991 (1)

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

1988 (1)

1987 (1)

1986 (1)

C. D. Poole and R. E. Wagner, Electron. Lett. 22, 1029 (1986).
[CrossRef]

Andresciani, D.

Bruyère, F.

C. Francia, F. Bruyère, D. Penninckx, and M. Chbat, IEEE Photon. Technol. Lett. 10, 1739 (1998).
[CrossRef]

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

Bülow, H.

H. Bülow, IEEE Photon. Technol. Lett. 10, 696 (1998).
[CrossRef]

Chbat, M.

C. Francia, F. Bruyère, D. Penninckx, and M. Chbat, IEEE Photon. Technol. Lett. 10, 1739 (1998).
[CrossRef]

Curti, F.

Daino, B.

Foschini, G. J.

Francia, C.

C. Francia, F. Bruyère, D. Penninckx, and M. Chbat, IEEE Photon. Technol. Lett. 10, 1739 (1998).
[CrossRef]

Giles, C. R.

Heffner, B. L.

B. L. Heffner, IEEE Photon. Technol. Lett. 5, 814 (1993).
[CrossRef]

Jopson, R. M.

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

G. J. Foschini, R. M. Jopson, L. E. Nelson, and H. Kogelnik, J. Lightwave Technol. 17, 1560 (1999).
[CrossRef]

Kogelnik, H.

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

G. J. Foschini, R. M. Jopson, L. E. Nelson, and H. Kogelnik, J. Lightwave Technol. 17, 1560 (1999).
[CrossRef]

L. Moeller and H. Kogelnik, presented at 25th European Conference on Optical Communications, Nice, France, September 26–30, 1999.

Matera, F.

Menyuk, C. R.

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

Moeller, L.

L. Moeller and H. Kogelnik, presented at 25th European Conference on Optical Communications, Nice, France, September 26–30, 1999.

Morenas, V.

Nelson, L. E.

G. J. Foschini, R. M. Jopson, L. E. Nelson, and H. Kogelnik, J. Lightwave Technol. 17, 1560 (1999).
[CrossRef]

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

Penninckx, D.

D. Penninckx and V. Morenas, Opt. Lett. 24, 875 (1999).
[CrossRef]

C. Francia, F. Bruyère, D. Penninckx, and M. Chbat, IEEE Photon. Technol. Lett. 10, 1739 (1998).
[CrossRef]

Poole, C. D.

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

C. D. Poole and C. R. Giles, Opt. Lett. 13, 155 (1988).
[CrossRef]

C. D. Poole and R. E. Wagner, Electron. Lett. 22, 1029 (1986).
[CrossRef]

Vassallo, C.

C. Vassallo, Electron. Lett. 31, 1597 (1995).
[CrossRef]

Wagner, R. E.

C. D. Poole and R. E. Wagner, Electron. Lett. 22, 1029 (1986).
[CrossRef]

Wai, P. K.

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

Electron. Lett. (2)

C. D. Poole and R. E. Wagner, Electron. Lett. 22, 1029 (1986).
[CrossRef]

C. Vassallo, Electron. Lett. 31, 1597 (1995).
[CrossRef]

IEEE Photon. Technol. Lett. (4)

H. Bülow, IEEE Photon. Technol. Lett. 10, 696 (1998).
[CrossRef]

C. Francia, F. Bruyère, D. Penninckx, and M. Chbat, IEEE Photon. Technol. Lett. 10, 1739 (1998).
[CrossRef]

B. L. Heffner, IEEE Photon. Technol. Lett. 5, 814 (1993).
[CrossRef]

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

J. Lightwave Technol. (3)

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

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

G. J. Foschini, R. M. Jopson, L. E. Nelson, and H. Kogelnik, J. Lightwave Technol. 17, 1560 (1999).
[CrossRef]

Opt. Fiber Technol. (1)

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

Opt. Lett. (3)

Other (1)

L. Moeller and H. Kogelnik, presented at 25th European Conference on Optical Communications, Nice, France, September 26–30, 1999.

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

Jones matrix model for a fiber with second-order PMD. The model has a correction of the Bruyère model M at its center. Frequency-independent sections P1 and P2 are used to match to the PSP’s measured in the laboratory. The common phase ϕ0ω must be added to model the pulse transmission. Second-order PMD terms are entered into the model as follows (uncorrected entries are shown for comparison):

Model ParametersSecond-Order PMD Entries
CorrectUncorrecteda
Our NotationRefs. 8 and 9 Notation
PCD term in φ1/2ΔτωΔτωΔτ·Δτ
Depolarization  term k1/4qˆω1/2qˆω1/2s/ω
Refs. 8 and 9.

Equations (19)

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

Ω=RΩs.
ϕ0ω=ϕ00+τ0ω+1/2βLω2.
U=P2MP1,
Mω=Q-1DQ.
Dω=exp-jφ/200expjφ/2,
Qω=cos kωsin kω-sin kωcos kω.
φ=Δτω+1/2Δτωω2+1/6Δτ2ω3.
R0=R2R1,
Ωω=-φω cos 2kω+2k sin φ sin 2kω-φω sin 2kω-2k sin φ cos 2kω2k1-cos φ,
φω=Δτ+Δτωω+1/2Δτ2ω2.
Ω0=Δτq=-Δτ,0,0,
Ωω0=-Δτω,-4kΔτ,0,
Ωωω0=-Δτ2+12k2Δτ-6kΔτω2kΔτ2.
qˆ0=-1,0,0=-sˆ1.
qˆω0/4k=0,-1,0=-sˆ2.
sˆω=cos 2kω,sin 2kω,0,
Δτωω=qˆ·Ωωω+Δτqˆω2.
Δτωω=Δτ2+4Δτk2.
R2=-q12q1ω/4k-t31q2q2ω/4k-t32q3q3ω/4k-t33.

Metrics