Abstract

An analytical form for the lightwave angular frequency ( ? ) dependence of the squared value of the differential group delay in concatenated single-mode optical fiber systems is introduced. We show that the dependence can be described by a combination of cosine functions of rotation angles and their sums and differences of the fiber pieces, which are located between the two end pieces of the concatenated system. Using the analytical expression, the ? dependence of real fiber systems can be simulated, providing information about the birefringence configuration of the system. Comparison with experimental data taken on real systems yields good qualitative agreement even if only few concatenations are considered.

© 2003 IEEE

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  1. D. Penninckx and V. Morenas, "Jones matrix of plarization mode dispersion", Opt. Lett., vol. 24, no. 13, pp. 875-877, 1999.
  2. H. Kogelnik, L. E. Nelson, J. P. Gordon and R. M. Jopson, "Jones matrix for second-order polarization mode dispersion", Opt. Lett., vol. 25, no. 1, pp. 19-21, 2000.
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  24. B. W. Hakki, "Polarization mode dispersion in a singlemode fiber", J. Lightwave Technol., vol. 14, pp. 2202-2208, Oct. 1996 .

J. Lightwave Technol. (9)

E. Forestieri and L. Vincetti, "Exact evaluation of the Jones matrix of a fiber in the presence of polarization mode dispersion of any order", J. Lightwave Technol., vol. 19, pp. 1898-1909, Dec. 2001 .

M. Karlsson, J. Brentel and A. Andrekson, "Long-term measurement of PMD and polarization drift in installed fibers", J. Lightwave Technol., vol. 18, pp. 941-951, July 2000.

E. Ibragimov, "Statistical correlation between first and second-order PMD", J. Lightwave Technol., vol. 20, pp. 586-590, Apr. 2002.

A. Bononi and A. Vannucci, "Statistical characterization of the Jones matrix of long fibers affected by polarization mode dispersion (PMD)", J. Lightwave Technol., vol. 20, pp. 811-821, May 2002.

G. J. Foschini and C. D. Poole, "Statistical theory of polarization dispersion in single mode fibers", J. Lightwave Technol., vol. 9, pp. 1439-1456, Nov. 1991.

G. J. Foschini, R. M. Jopson, L. E. Nelson and H. Kogelnik, "The statistics of PMD-induced chromatic fiber dispersion", J. Lightwave Technol., vol. 17, pp. 1560-1565, Sept. 1999.

A. Djupsjobacka, "On differential group-delay statistics for polarization-mode dispersion emulators", J. Lightwave Technol., vol. 19, pp. 285-290, Feb. 2001.

G. J. Foschini, L. E. Nelson, R. M. Jopson and H. Kogelnik, "Statistics of second-order PMD depolarization", J. Lightwave Technol., vol. 19, pp. 1812-1886, Dec. 2001.

B. W. Hakki, "Polarization mode dispersion in a singlemode fiber", J. Lightwave Technol., vol. 14, pp. 2202-2208, Oct. 1996 .

Other (15)

A. Bononi and A. Vannucci, "Statistics of the Jones matrix of fibers affected by polarization mode dispersion", Opt. Lett., vol. 26, no. 10, pp. 675-677, 2001.

N. Gisin and J. P. Pellaux, "Polarization mode dispersion: Time versus frequency domains", Opt. Commun., vol. 89, pp. 316 -323, 1992.

J. P. Gordon and H. Kogelnik, "PMD fundamentals: Polarization mode dispersion in optical fibers", Proc. Nat. Acad. Sci. USA, vol. 97, pp. 4541-4550, 1999.

M. Karlsson, "Polarization mode dispersion-induced pulse broadening in optical fibers", Opt. Lett., vol. 23, no. 9, pp. 688-690, 1998.

R. C. Jones, "A new calculus for the treatment of optical systems. VII: Properties of the N-matrices", J. Opt. Soc. Amer., vol. 38, pp. 671-685, 1948.

S. C. Rashleigh and R. Ulrich, "Polarization mode dispersion in single-mode fibers", Opt. Lett., vol. 3, no. 2, pp. 60-62, 1978.

N. Gisin, "Solutions of the dynamical equation for polarization dispersion", Opt. Commun., vol. 86, pp. 371-373, 1991.

D. A. Flavin, R. MacBride and J. D. C. Jones, "Dispersion of birefringence and differential group delay in polarization-maintaining fiber", Opt. Lett., vol. 27, no. 12, pp. 1010-1012, 2002.

Handbuch der Mathematik, Koeln: Buch und Zeit Verlagsgesellschaft mbH, 1986.

B. L. Heffner, "Accurate, automated measurement of differential group delay dispersion and principal state variation using Jones matrix eigenanalysis", IEEE Photon. Technol. Lett., vol. 5, pp. 814 -817, July 1993.

M. Karlsson and J. Brentel, "Autocorrelation function of the polarization-mode dispersion vector", Opt. Lett., vol. 24, no. 14, pp. 939-941, 1999 .

B. S. Marks, I. T. Lima Jr and C. R. Menyuk, "Autocorrelation function for polarization mode dispersion emulators with rotators", Opt. Lett., vol. 27, no. 13, pp. 1150-1152, 2002.

R. M. Jopson, L. E. Nelson and H. Kogelnik, "Measurement of second-order polarization-mode dispersion vectors in optical fibers", IEEE Photon. Technol. Lett., vol. 11, pp. 1153-1155, Sept. 1999.

D. Penninckx and V. Morenas, "Jones matrix of plarization mode dispersion", Opt. Lett., vol. 24, no. 13, pp. 875-877, 1999.

H. Kogelnik, L. E. Nelson, J. P. Gordon and R. M. Jopson, "Jones matrix for second-order polarization mode dispersion", Opt. Lett., vol. 25, no. 1, pp. 19-21, 2000.

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