Abstract

In previous work on polarization-mode dispersion (PMD) measurement with an optical time-domain reflectometer with polarimetry (p-OTDR), scatterers were assumed to be a cloud of small spherical particles in a fiber. We have found that the p-OTDR waveforms were fitted well by modified Mueller matrices, assuming scattering by a cloud of nonspherical particles. We realized a PMD measurement based on the p-OTDR Jones matrix eigenanalysis (JME) method. The measured PMD was consistent with that of JME standard measurement with transmission-type polarimetry.

© 2003 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. A. Tardy, M. Jurczyszyn, F. Bruyere, and M. Herz, in Optical Fiber Communication Conference, Vol. 8 of 1995 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), paper ThD2.
  2. T. Ozeki, A. Mitsuoka, M. Yoshimura, and T. Kudou, in Optical Fiber Communication Conference, Vol. 2 of 1996 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1996), p. 295.
  3. F. Corsi, A. Galtarossa, and L. Palmieri, J. Lightwave Technol. 16, 1832 (1998).
    [CrossRef]
  4. B. Hutter, J. Reecht, N. Gisin, and J. P. von der Weid, IEEE Photonics Technol. Lett. 10, 1458 (1998).
    [CrossRef]
  5. H. Sunnerd, B. E. Olsson, M. Karisson, P. A. Andreksonand, and J. Brentel, J. Lightwave Technol. 18, 897 (2000).
    [CrossRef]
  6. J. G. Ellison and A. S. Siddiqui, J. Lightwave Technol. 18, 1226 (2000).
    [CrossRef]
  7. T. Kudou, M. Iguchi, M. Musuda, and T. Ozeki, J. Lightwave Technol. 18, 614 (2000).
    [CrossRef]
  8. H. C. van de Hulst, Light Scattering by Small Particles (Dover, New York, 1981).
  9. M. I. Mishchenko and J. W. Hovernier, Opt. Lett. 20, 1356 (1995).
    [CrossRef] [PubMed]
  10. D. C. Poole, Electron. Lett. 22, 1029 (1986).
    [CrossRef]
  11. M. I. Mishchenko and L. D. Travis, in Light Scattering from Microstructure, M. Gonzalez, ed. (Springer, New York, 1998), Session 9.

2000 (3)

1998 (3)

F. Corsi, A. Galtarossa, and L. Palmieri, J. Lightwave Technol. 16, 1832 (1998).
[CrossRef]

B. Hutter, J. Reecht, N. Gisin, and J. P. von der Weid, IEEE Photonics Technol. Lett. 10, 1458 (1998).
[CrossRef]

M. I. Mishchenko and L. D. Travis, in Light Scattering from Microstructure, M. Gonzalez, ed. (Springer, New York, 1998), Session 9.

1995 (1)

1986 (1)

D. C. Poole, Electron. Lett. 22, 1029 (1986).
[CrossRef]

1981 (1)

H. C. van de Hulst, Light Scattering by Small Particles (Dover, New York, 1981).

Andreksonand, P. A.

Brentel, J.

Bruyere, F.

A. Tardy, M. Jurczyszyn, F. Bruyere, and M. Herz, in Optical Fiber Communication Conference, Vol. 8 of 1995 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), paper ThD2.

Corsi, F.

Ellison, J. G.

Galtarossa, A.

Gisin, N.

B. Hutter, J. Reecht, N. Gisin, and J. P. von der Weid, IEEE Photonics Technol. Lett. 10, 1458 (1998).
[CrossRef]

Herz, M.

A. Tardy, M. Jurczyszyn, F. Bruyere, and M. Herz, in Optical Fiber Communication Conference, Vol. 8 of 1995 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), paper ThD2.

Hovernier, J. W.

Hutter, B.

B. Hutter, J. Reecht, N. Gisin, and J. P. von der Weid, IEEE Photonics Technol. Lett. 10, 1458 (1998).
[CrossRef]

Iguchi, M.

Jurczyszyn, M.

A. Tardy, M. Jurczyszyn, F. Bruyere, and M. Herz, in Optical Fiber Communication Conference, Vol. 8 of 1995 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), paper ThD2.

Karisson, M.

Kudou, T.

T. Kudou, M. Iguchi, M. Musuda, and T. Ozeki, J. Lightwave Technol. 18, 614 (2000).
[CrossRef]

T. Ozeki, A. Mitsuoka, M. Yoshimura, and T. Kudou, in Optical Fiber Communication Conference, Vol. 2 of 1996 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1996), p. 295.

Mishchenko, M. I.

M. I. Mishchenko and L. D. Travis, in Light Scattering from Microstructure, M. Gonzalez, ed. (Springer, New York, 1998), Session 9.

M. I. Mishchenko and J. W. Hovernier, Opt. Lett. 20, 1356 (1995).
[CrossRef] [PubMed]

Mitsuoka, A.

T. Ozeki, A. Mitsuoka, M. Yoshimura, and T. Kudou, in Optical Fiber Communication Conference, Vol. 2 of 1996 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1996), p. 295.

Musuda, M.

Olsson, B. E.

Ozeki, T.

T. Kudou, M. Iguchi, M. Musuda, and T. Ozeki, J. Lightwave Technol. 18, 614 (2000).
[CrossRef]

T. Ozeki, A. Mitsuoka, M. Yoshimura, and T. Kudou, in Optical Fiber Communication Conference, Vol. 2 of 1996 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1996), p. 295.

Palmieri, L.

Poole, D. C.

D. C. Poole, Electron. Lett. 22, 1029 (1986).
[CrossRef]

Reecht, J.

B. Hutter, J. Reecht, N. Gisin, and J. P. von der Weid, IEEE Photonics Technol. Lett. 10, 1458 (1998).
[CrossRef]

Siddiqui, A. S.

Sunnerd, H.

Tardy, A.

A. Tardy, M. Jurczyszyn, F. Bruyere, and M. Herz, in Optical Fiber Communication Conference, Vol. 8 of 1995 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), paper ThD2.

Travis, L. D.

M. I. Mishchenko and L. D. Travis, in Light Scattering from Microstructure, M. Gonzalez, ed. (Springer, New York, 1998), Session 9.

van de Hulst, H. C.

H. C. van de Hulst, Light Scattering by Small Particles (Dover, New York, 1981).

von der Weid, J. P.

B. Hutter, J. Reecht, N. Gisin, and J. P. von der Weid, IEEE Photonics Technol. Lett. 10, 1458 (1998).
[CrossRef]

Yoshimura, M.

T. Ozeki, A. Mitsuoka, M. Yoshimura, and T. Kudou, in Optical Fiber Communication Conference, Vol. 2 of 1996 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1996), p. 295.

1995 OSA Technical Digest Series (1)

A. Tardy, M. Jurczyszyn, F. Bruyere, and M. Herz, in Optical Fiber Communication Conference, Vol. 8 of 1995 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), paper ThD2.

1996 OSA Technical Digest Series (1)

T. Ozeki, A. Mitsuoka, M. Yoshimura, and T. Kudou, in Optical Fiber Communication Conference, Vol. 2 of 1996 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1996), p. 295.

Electron. Lett. (1)

D. C. Poole, Electron. Lett. 22, 1029 (1986).
[CrossRef]

IEEE Photonics Technol. Lett. (1)

B. Hutter, J. Reecht, N. Gisin, and J. P. von der Weid, IEEE Photonics Technol. Lett. 10, 1458 (1998).
[CrossRef]

J. Lightwave Technol. (4)

Opt. Lett. (1)

Other (2)

M. I. Mishchenko and L. D. Travis, in Light Scattering from Microstructure, M. Gonzalez, ed. (Springer, New York, 1998), Session 9.

H. C. van de Hulst, Light Scattering by Small Particles (Dover, New York, 1981).

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 (3)

Fig. 1
Fig. 1

Experimental setup for p-OTDR. PC, polarization controller.

Fig. 2
Fig. 2

Modified Stokes vector waveforms and scattering Mueller matrix parameters: (a) Ixm and Iym compared with those simulated by the Levenberg–Marquardt method, (b) basic parameters of scattering Mueller matrices a1m and a2m.

Fig. 3
Fig. 3

(a) PMD and Jones matrix of a 2.5-km dispersion-shifted fiber (DSF) measured by our proposed method. (b) Synthesized matrix element T11, indicating very small mode conversion in the fiber. (c) Standard PMD based on the JME method using transmission-type polarimetry is consistent with our PMD measured in this work. OPA, optical parametric analyzer.

Equations (7)

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

Jm=exp-jϕm/200expjϕm/2×cos θm-sin θmsin θmcos θmexp-jψm/200expjψm/2,
IxmIymUmVm=a1m+a2m/2(a1m-a2m/200(a1m-a2m/2a1m+a2m/20000-a2m0000a1m-2a2m×IxmIymUmVm,
IxmRIymRUmRVmR=MM×a1m+a2m/2a1m-a2m/200(a1m-a2m/2a1m+a2m/20000-a2m0000a1m-2a2m×MmIxIyUV,
jm=Jm+1Jm-1,
jm=exp-jωt1,m/200expjωt1,m/2×atcos θm-sin θmsin θmcos θm×exp-jωt2,m/200expjωt2,m/2.
Tmω=m=1Mjm.
Dm=dTmω/dωTmω-1.

Metrics