Introduction to polarization mode dispersion in optical systems

This introduction covers concepts important to the understanding of polarization mode dispersion (PMD), including optical birefringence, mode coupling in long optical fibers, the Principal States Model, and the time and frequency domain behavior of PMD. Other topics addressed include the concatenation rules, bandwidth of the Principal States, PMD statistics and scaling, PMD system impairments, and PMD outage probability calculations.

[1]  O. Karlsson,et al.  Long-term measurement of PMD and polarization drift in installed fibers , 2000, Journal of Lightwave Technology.

[2]  Henri Poincaré,et al.  Théorie mathématique de la lumière , 1889 .

[3]  D. Nolan,et al.  Fiber spin-profile designs for producing fibers with low polarization mode dispersion. , 1998, Optics letters.

[4]  M. Shtaif,et al.  Mean-square magnitude of all orders of polarization mode dispersion and the relation with the bandwidth of the principal states , 2000, IEEE Photonics Technology Letters.

[5]  J. Nagel,et al.  Dynamical equation for polarization dispersion. , 1991, Optics letters.

[6]  F Matera,et al.  Measurement of the group-delay difference between the principal states of polarization on a low-birefringence terrestrial fiber cable. , 1987, Optics letters.

[7]  B. Heffner,et al.  Automated measurement of polarization mode dispersion using Jones matrix eigenanalysis , 1992, IEEE Photonics Technology Letters.

[8]  H. Bulow,et al.  Measurement of the maximum speed of PMD fluctuation in installed field fiber , 1999, OFC/IOOC . Technical Digest. Optical Fiber Communication Conference, 1999, and the International Conference on Integrated Optics and Optical Fiber Communication.

[9]  The measurement of fast state of polarization changes in aerial fiber , 2001, OFC 2001. Optical Fiber Communication Conference and Exhibit. Technical Digest Postconference Edition (IEEE Cat. 01CH37171).

[10]  A M Vengsarkar,et al.  Polarization mode dispersion in dispersion-shifted fibers: an exact analysis. , 1993, Optics letters.

[11]  H. Kim,et al.  Dependence of polarization-mode dispersion penalties on receiver characteristics , 2002, IEEE Photonics Technology Letters.

[12]  T. Imai,et al.  Time evolution of polarisation mode dispersion in 120 km installed optical submarine cable , 1993 .

[13]  W. Shieh,et al.  Principal states of polarization for an optical pulse , 1999, IEEE Photonics Technology Letters.

[14]  R. E. Wagner,et al.  Phenomenological approach to polarisation dispersion in long single-mode fibres , 1986 .

[15]  Analysis of system outage induced by second order PMD in the presence of chromatic dispersion , 1998, 24th European Conference on Optical Communication. ECOC '98 (IEEE Cat. No.98TH8398).

[16]  L. Boivin,et al.  Nonlinear polarization evolution induced by cross-phase modulation and its impact on transmission systems , 2000, IEEE Photonics Technology Letters.

[17]  R. Jones.  A New Calculus for the Treatment of Optical Systems. IV. , 1942 .

[18]  Nicolas Gisin,et al.  Polarization mode dispersion: time versus frequency domains , 1992 .

[19]  M Karlsson,et al.  Autocorrelation function of the polarization-mode dispersion vector. , 1999, Optics letters.

[20]  David N. Payne,et al.  Fabrication of single-mode fibres exhibiting extremely low polarisation birefringence , 1979 .

[21]  N. Gisin,et al.  Polarization-induced distortions in optical fiber networks with polarization-mode dispersion and polarization-dependent losses , 2000, IEEE Journal of Selected Topics in Quantum Electronics.

[22]  L. Mollenauer,et al.  Measurement of timing jitter in filter-guided soliton transmission at 10 Gbits/s and achievement of 375 Gbits/s-Mm, error free, at 12.5 and 15 Gbits/s. , 1994, Optics letters.

[23]  Ivan P. Kaminow,et al.  Polarization in optical fibers , 1981 .

[24]  A. Pizzinat,et al.  Measurement of local beat length and differential group delay in installed single-mode fibers , 2000, Journal of Lightwave Technology.

[25]  J. Gordon,et al.  Polarization scattering by soliton-soliton collisions. , 1995, Optics letters.

[26]  R. Ulrich,et al.  Polarization optics of twisted single-mode fibers. , 1979, Applied optics.

[27]  Linearly birefringent fibres with zero polarisation-mode dispersion , 1985 .

[28]  D. Penninckx,et al.  PMD second-order effects on pulse propagation in single-mode optical fibers , 1998, IEEE Photonics Technology Letters.

[29]  L. M. Gleeson,et al.  Experimental and numerical investigation into the penalties induced by second order polarisation mode dispersion at 10 Gb/s , 1997 .

[30]  Frank Bruyere.  Impact of First- and Second-Order PMD in Optical Digital Transmission Systems , 1996 .

[31]  N. S. Bergano,et al.  Polarization dispersion and principal states in a 147-km undersea lightwave cable , 1988 .

[32]  H. Sunnerud,et al.  Impact of PMD on four-wave-mixing-induced crosstalk in WDM systems , 2000, IEEE Photonics Technology Letters.

[33]  H. Kogelnik,et al.  Polarization-Mode Dispersion , 2002 .

[34]  M. Karlsson,et al.  Polarization mode dispersion induced pulse broadening in optical fibers. , 1998, Optics letters.

[35]  L. Boivin,et al.  A 1021 channel WDM system , 2000, IEEE Photonics Technology Letters.

[36]  A. Gnauck,et al.  Polarization-mode dispersion impairment in return-to-zero and nonreturn-to-zero systems , 1999, OFC/IOOC . Technical Digest. Optical Fiber Communication Conference, 1999, and the International Conference on Integrated Optics and Optical Fiber Communication.

[37]  Moshe Tur,et al.  Representation of second-order polarisation mode dispersion , 1999 .

[38]  K. Chiang.  Conditions for obtaining zero polarisation mode dispersion in elliptical-core fibres , 1985 .

[39]  Curtis R. Menyuk,et al.  Calculation of penalties due to polarization effects in a long-haul WDM system using a Stokes parameter model , 2001 .

[40]  R.M. Jopson,et al.  Effect of receiver design on PMD outage for RZ and NRZ , 2002, Optical Fiber Communication Conference and Exhibit.

[41]  D N Payne,et al.  Birefringence and polarization mode-dispersion in spun single-mode fibers. , 1981, Applied Optics.

[42]  F Matera,et al.  Evolution of the bandwidth of the principal states of polarization in single-mode fibers. , 1991, Optics letters.

[43]  A.N. Pilipetskii,et al.  The impact of PMD on nonlinear interchannel crosstalk in DWDM transoceanic systems , 2001, OFC 2001. Optical Fiber Communication Conference and Exhibit. Technical Digest Postconference Edition (IEEE Cat. 01CH37171).

[44]  P. Wai,et al.  Polarization mode dispersion, decorrelation, and diffusion in optical fibers with randomly varying birefringence , 1996 .

[45]  H. Kogelnik,et al.  PMD fundamentals: polarization mode dispersion in optical fibers. , 2000, Proceedings of the National Academy of Sciences of the United States of America.

[46]  H. Kogelnik,et al.  Observation of PMD-induced coherent crosstalk in polarization-multiplexed transmission , 2001, IEEE Photonics Technology Letters.

[47]  Clinton Randy Giles,et al.  Polarization-dependent pulse compression and broadening due to polarization dispersion in dispersion-shifted fiber. , 1988 .

[48]  J. Nagel,et al.  Chapter 6 – Polarization Effects in Lightwave Systems , 1997 .

[49]  H. Kogelnik,et al.  Measurement of second-order polarization-mode dispersion vectors in optical fibers , 1999, IEEE Photonics Technology Letters.

[50]  R. Khosravani,et al.  Limitations to first-order PMD compensation in WDM systems due to XPM-induced PSP changes , 2001, OFC 2001. Optical Fiber Communication Conference and Exhibit. Technical Digest Postconference Edition (IEEE Cat. 01CH37171).

[51]  H. Sunnerud,et al.  A comparison between NRZ and RZ data formats with respect to PMD-induced system degradation , 2001, OFC 2001. Optical Fiber Communication Conference and Exhibit. Technical Digest Postconference Edition (IEEE Cat. 01CH37171).

[52]  Dennis Derickson,et al.  Fiber optic test and measurement , 1998 .

[53]  R. Jones.  A New Calculus for the Treatment of Optical SystemsI. Description and Discussion of the Calculus , 1941 .

[54]  H. Haus.  Group velocity, energy, and polarization mode dispersion , 1999 .

[55]  A. Willner.  Optical Fiber Telecommunications IIIB , 1997 .

[56]  Nicolas Gisin,et al.  Second-order polarization mode dispersion: impact on analog and digital transmissions , 1998 .

[57]  H. Kogelnik,et al.  Probability densities of second-order polarization mode dispersion including polarization dependent chromatic fiber dispersion , 2000, IEEE Photonics Technology Letters.

[58]  Xiaoyi Bao,et al.  Time evolution of polarization-mode dispersion for aerial and buried cables , 1998 .

[59]  H. M. Kallert,et al.  Influence of PMD on the performance of optical transmission systems in the presence of PDL , 2001, OFC 2001. Optical Fiber Communication Conference and Exhibit. Technical Digest Postconference Edition (IEEE Cat. 01CH37171).

[60]  S. Huard.  Polarization of Light , 1997 .

[61]  C. Poole.  Statistical treatment of polarization dispersion in single-mode fiber. , 1988, Optics letters.

[62]  A. Chraplyvy,et al.  Fading in lightwave systems due to polarization-mode dispersion , 1990, IEEE Photonics Technology Letters.

[63]  L Nelson,et al.  Coherent crosstalk impairments in polarization multiplexed transmission due to polarization mode dispersion. , 2000, Optics express.

[64]  D. Penninckx,et al.  A simple dynamic polarization mode dispersion compensator , 1999 .

[65]  H. Kogelnik,et al.  Measurement of depolarization and scaling associated with second-order polarization mode dispersion in optical fibers , 1999, IEEE Photonics Technology Letters.

[66]  Probability densities of depolarization associated with second-order PMD in optical fibers , 2001, OFC 2001. Optical Fiber Communication Conference and Exhibit. Technical Digest Postconference Edition (IEEE Cat. 01CH37171).

[67]  G. Foschini,et al.  Statistical theory of polarization dispersion in single mode fibers , 1991 .

[68]  Henning Bulow,et al.  Temporal dynamics of error-rate degradation induced by polarisation mode dispersion fluctuation of a field fiber link , 1997 .

[69]  J. Gordon,et al.  Birefringence-mediated timing jitter in soliton transmission. , 1994, Optics letters.

[70]  Liang Chen,et al.  Time evolution of polarization mode dispersion in optical fibers , 1998, IEEE Photonics Technology Letters.

[71]  Benedetto Daino,et al.  Statistical treatment of the evolution of the principal states of polarization in single-mode fibers , 1990 .

[72]  T. Tambosso,et al.  Continuous-wave backreflection measurement of polarization mode dispersion , 1999, IEEE Photonics Technology Letters.

[73]  L Nelson,et al.  Measurement of polarization mode dispersion vectors using the polarization-dependent signal delay method. , 2000, Optics express.

[74]  R Ulrich,et al.  Wavelength dependence of birefringence in single-mode fiber. , 1981, Applied optics.

[75]  H. Bulow.  System outage probability due to first- and second-order PMD , 1998, IEEE Photonics Technology Letters.

[76]  H. Kogelnik,et al.  The statistics of PMD-induced chromatic fiber dispersion , 1999 .