Abstract

In a single-mode fiber excited by light with a fixed polarization state, the output polarizations obtained at two different optical frequencies are related by a Mueller matrix. We examine least-squares procedures for estimating this matrix from repeated measurements of the output Stokes vector for a random set of input polarization states. We then apply these methods to the determination of polarization mode dispersion and polarization-dependent loss in an optical fiber. We find that a relatively simple formalism leads to results that are comparable with those of far more involved techniques.

© 2006 Optical Society of America

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  1. P. Phua, J. Fini, and H. Haus, J. Lightwave Technol. 21, 982 (2003).
  2. D. Tweed, in Proceedings of the International Conference on Pattern Recognition (IEEE Computer Society, 2004), Vol. 2, p. 171.
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  4. U. Kintzel, Ph.D. thesis (Technical University of Berlin, 2005).
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    [CrossRef]
  6. J. Gordon and H. Kogelnik, Proc. Natl. Acad. Sci. U.S.A. 97, 4541 (2000).
    [CrossRef]
  7. S. Lu and R. Chipman, Opt. Commun. 146, 11 (1998).
    [CrossRef]
  8. M. Reimer and D. Yevick, J. Opt. Soc. Am. A 23, 1503 (2006).
  9. W. Magnus, Commun. Pure Appl. Math. 7, 649 (1954).
  10. J. Oteo and J. Ros, J. Math. Phys. 41, 3268 (2000).
    [CrossRef]
  11. M. Glasner and D. Yevick, Math. Comput. Modell. 16, 177 (1992).
    [CrossRef]
  12. D. Sandel, V. Mirvoda, S. Bhandare, F. Wust, and R. Noe, J. Lightwave Technol. 21, 1198 (2003).
  13. M. Renardy, Numer. Linear Algebra Appl. 236, 53 (1996).
  14. R. Jopson, L. Nelson, and H. Kogelnik, IEEE Photon. Technol. Lett. 11, 1153 (1999).
    [CrossRef]

2006 (1)

2005 (1)

U. Kintzel, Numer. Linear Algebra Appl. 1, 1 (2005).

2003 (2)

2000 (3)

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

J. Gordon and H. Kogelnik, Proc. Natl. Acad. Sci. U.S.A. 97, 4541 (2000).
[CrossRef]

J. Oteo and J. Ros, J. Math. Phys. 41, 3268 (2000).
[CrossRef]

1999 (1)

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

1998 (1)

S. Lu and R. Chipman, Opt. Commun. 146, 11 (1998).
[CrossRef]

1996 (1)

M. Renardy, Numer. Linear Algebra Appl. 236, 53 (1996).

1992 (1)

M. Glasner and D. Yevick, Math. Comput. Modell. 16, 177 (1992).
[CrossRef]

1954 (1)

W. Magnus, Commun. Pure Appl. Math. 7, 649 (1954).

Bhandare, S.

Chipman, R.

S. Lu and R. Chipman, Opt. Commun. 146, 11 (1998).
[CrossRef]

Fini, J.

Geiser, C.

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

Gisin, N.

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

Glasner, M.

M. Glasner and D. Yevick, Math. Comput. Modell. 16, 177 (1992).
[CrossRef]

Gordon, J.

J. Gordon and H. Kogelnik, Proc. Natl. Acad. Sci. U.S.A. 97, 4541 (2000).
[CrossRef]

Haus, H.

Huttner, B.

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

Jopson, R.

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

Kintzel, U.

U. Kintzel, Numer. Linear Algebra Appl. 1, 1 (2005).

U. Kintzel, Ph.D. thesis (Technical University of Berlin, 2005).

Kogelnik, H.

J. Gordon and H. Kogelnik, Proc. Natl. Acad. Sci. U.S.A. 97, 4541 (2000).
[CrossRef]

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

Lu, S.

S. Lu and R. Chipman, Opt. Commun. 146, 11 (1998).
[CrossRef]

Magnus, W.

W. Magnus, Commun. Pure Appl. Math. 7, 649 (1954).

Mirvoda, V.

Nelson, L.

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

Noe, R.

Oteo, J.

J. Oteo and J. Ros, J. Math. Phys. 41, 3268 (2000).
[CrossRef]

Phua, P.

Reimer, M.

Renardy, M.

M. Renardy, Numer. Linear Algebra Appl. 236, 53 (1996).

Ros, J.

J. Oteo and J. Ros, J. Math. Phys. 41, 3268 (2000).
[CrossRef]

Sandel, D.

Tweed, D.

D. Tweed, in Proceedings of the International Conference on Pattern Recognition (IEEE Computer Society, 2004), Vol. 2, p. 171.

Wust, F.

Yevick, D.

M. Reimer and D. Yevick, J. Opt. Soc. Am. A 23, 1503 (2006).

M. Glasner and D. Yevick, Math. Comput. Modell. 16, 177 (1992).
[CrossRef]

Commun. Pure Appl. Math. (1)

W. Magnus, Commun. Pure Appl. Math. 7, 649 (1954).

IEEE J. Sel. Top. Quantum Electron. (1)

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

IEEE Photon. Technol. Lett. (1)

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

J. Lightwave Technol. (2)

J. Math. Phys. (1)

J. Oteo and J. Ros, J. Math. Phys. 41, 3268 (2000).
[CrossRef]

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

Math. Comput. Modell. (1)

M. Glasner and D. Yevick, Math. Comput. Modell. 16, 177 (1992).
[CrossRef]

Numer. Linear Algebra Appl. (2)

M. Renardy, Numer. Linear Algebra Appl. 236, 53 (1996).

U. Kintzel, Numer. Linear Algebra Appl. 1, 1 (2005).

Opt. Commun. (1)

S. Lu and R. Chipman, Opt. Commun. 146, 11 (1998).
[CrossRef]

Proc. Natl. Acad. Sci. U.S.A. (1)

J. Gordon and H. Kogelnik, Proc. Natl. Acad. Sci. U.S.A. 97, 4541 (2000).
[CrossRef]

Other (2)

U. Kintzel, Ph.D. thesis (Technical University of Berlin, 2005).

D. Tweed, in Proceedings of the International Conference on Pattern Recognition (IEEE Computer Society, 2004), Vol. 2, p. 171.

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