L. Dupont, W. Rong, and J. Vivalda, Endless polarization control using two rotatable wave plates with variable birefringence, Optics Communications, vol.252, issue.1-3, pp.1-6, 2005.
DOI : 10.1016/j.optcom.2005.03.024

W. Rong and L. Dupont, ContrôleurContr?Contrôleur de polarisationàpolarisation`polarisationà base de nano-PDLC, 12ème Colloque Francophone sur les Cristaux Liquides, CFCL'05, pp.13-16

W. Rong, L. Dupont, and A. Tan, Degree of polarization and system penalty in first and second-order PMD compensation, Optical Networks SYMPOSIUM, STREON2005, pp.26-27, 2005.

W. Rong and L. Dupont, A feedback algorithm for polarization control using two rotatable wave plates with variable birefringence, Optics Communications, vol.259, issue.2, pp.603-611, 2006.
DOI : 10.1016/j.optcom.2005.09.032

W. Rong, L. Dupont, Y. Defosse, and P. Gautier, Driving algorithms for an endless polarization controller using two wave-plates, " soumisàsoumis`soumisà Optics Communications, 2006.

W. Rong, L. Dupont, and A. Tan, Analyze of efficiency about DOP as a feed-back signal for PMD compensation with the presence of 2 nd PMD, soumisàsoumis`soumisà Annales des Télécommunications, 2006.

W. Rong, L. Dupont, and A. Tan, Impacts of 2 nd -order PMD with 1 st -order PMD compensation, soumisàsoumis`soumisà Optics Communications, 2006.

C. Poole and J. Nagel, Polarization effects in lightwave systems in « Optical Fiber Telecommunications IIIA, 1997.

J. N. Damask, Polarization Optics in Telecommunication, 2004.

R. Noé, H. Heidrich, and D. Hoffmann, Endless polarization control systems for coherent optics, Journal of Lightwave Technology, vol.6, issue.7, pp.1199-1208, 1988.
DOI : 10.1109/50.4117

N. G. Walker and G. R. Walker, Polarization control for coherent communications, Journal of Lightwave Technology, vol.8, issue.3
DOI : 10.1109/50.50740

F. Curti, B. Daino, G. D. Marchis, and F. Matera, Statistical treatment of the evolution of the principal states of polarization in single-mode fibers, Journal of Lightwave Technology, vol.8, issue.8, pp.1162-1166, 1990.
DOI : 10.1109/50.57836

C. D. Poole, J. H. Winters, and J. A. Nagel, Dynamical equation for polarization dispersion, Optics Letters, vol.16, issue.6, pp.372-374, 1991.
DOI : 10.1364/OL.16.000372

T. Merker, N. Hahnenkamp, and P. Meissner, Comparison of PMD-compensation techniques at 10 Gbit/s using an optical first-order compensator and electrical transversal filter, Optics Communications, vol.182, issue.1-3, pp.135-141, 2000.
DOI : 10.1016/S0030-4018(00)00815-4

F. Buchali and H. Bulow, Adaptive PMD Compensation by Electrical and Optical Techniques, Journal of Lightwave Technology, vol.22, issue.4, pp.1116-1126, 2004.
DOI : 10.1109/JLT.2004.825893

Z. Zeng, C. Xiu, Y. , L. Liu, and J. Yu, Comparisons of control signals in adaptive PMD compensators, Study on Optical Communications, vol.04, pp.39-41, 2005.

S. Bashoun, J. Nagel, C. D. Poole, and ´. Bibliographiques, Measurements of temporal variations in fiber transfer characteristics to 20GHz due to polarization mode dispersion, Proc. ECOC'90, pp.1003-1006, 1990.

T. Takahashi, T. Imai, and M. Aiki, Automatic compensation technique for timewise fluctuating polarisation mode dispersion in in-line amplifier systems, Electronics Letters, vol.30, issue.4, pp.348-349, 1994.
DOI : 10.1049/el:19940248

H. Rosenfeldt, C. Knothe, R. Ulrich, E. Brinkmeyer, U. Feiste et al., Automatic PMD compensation at 40gbit/s and 80gbit/s using a 3-dimensional DOP evaluation for feedback, Proc. OFC 2001

J. C. Rasmussen, A. Isomura, and G. Ishikawa, Automatic compensation of polarization-mode dispersion for 40 Gb/s transmission systems, Journal of Lightwave Technology, vol.20, issue.12, pp.2101-2109, 2002.
DOI : 10.1109/JLT.2002.806754

T. Ono, S. Yamazaki, H. Shimizu, and K. Emura, Polarization control method for suppressing polarization mode dispersion influence in optical transmission systems, Journal of Lightwave Technology, vol.12, issue.5, pp.891-898, 1994.
DOI : 10.1109/50.293983

T. Ono, Y. Yano, L. D. Garrett, J. A. Nagel, M. J. Dickerson et al., 10Gb/s PMD compensation field experiment over 452km using principal state transmission method, Proc. OFC, p.44, 2000.
DOI : 10.1109/ofc.2000.869490

H. Sunnerud, C. Xie, M. Karlsson, R. Samuelsson, and P. Andrekson, A comparison between different PMD compensation techniques, Journal of Lightwave Technology, vol.20, issue.3, pp.368-378, 2002.
DOI : 10.1109/50.988985

F. Heismann, D. A. Fishman, and D. L. Wilson, Automatic compensation of first-order polarization mode dispersion in a 10Gb/s transmission system, Proc. ECOC'98

W. Shieh, H. Haunstein, B. Mckay, D. Fishman, A. Golubchik et al., Dynamic polarization-mode-dispersion compensation in wdm systems, Proc. ECOC, pp.41-43, 2000.

C. Francia, F. Bruyère, J. Thiéry, and D. Penninckx, Simple dynamic polarisation mode dispersion compensator, Electronics Letters, vol.35, issue.5, pp.414-415, 1999.
DOI : 10.1049/el:19990287

M. W. Chbat, J. Soigné, T. Fuerst, J. T. Anthony, S. Lanne et al., Long term field demonstration of optical PMD compensation on an installed OC-192 link, OFC/IOOC . Technical Digest. Optical Fiber Communication Conference, 1999, and the International Conference on Integrated Optics and Optical Fiber Communication, p.12, 1999.
DOI : 10.1109/OFC.1999.766045

J. A. Nagel, M. W. Chbat, L. D. Garrett, J. Soigné, N. A. Weaver et al., Long-term PMD mitigation at 10Gb/s and time dynamics over high-PMD installed fiber, Proc. ECOC, pp.31-32, 2000.

S. Lanne, W. Idler, J. Thiéry, and J. Hamaide, Demonstration of adaptive PMD compensation at 40Gb/s, Proc. OFC'01, p.3, 2001.

D. Alzetta and M. Matsumoto, Distributed polarization-mode dispersion compensation using polarizers, IEEE Photon. Technol. Lett, vol.15, pp.85-87, 2003.

H. Kogelnik, L. E. Nelson, and J. P. Gordon, Emulation and inversion of polarization-mode dispersion, Journal of Lightwave Technology, vol.21, issue.2, pp.482-495, 2003.
DOI : 10.1109/JLT.2003.808764

J. H. Lee, M. S. Kim, and Y. C. Chung, Statistical PMD emulator using variable DGD elements, IEEE Photonics Technology Letters, vol.15, issue.1, pp.54-56, 2003.
DOI : 10.1109/LPT.2002.805789

L. Yan, M. C. Hauer, Y. Shi, X. S. Yao, P. Ebrahimi et al., Polarization-Mode-Dispersion Emulator Using Variable Differential-Group-Delay (DGD) Elements and Its Use for Experimental Importance Sampling, Journal of Lightwave Technology, vol.22, issue.4, pp.1051-1058, 2004.
DOI : 10.1109/JLT.2004.825327

J. Comellas, J. Prat, A. Rafel, and G. Junyent, Stabilization of interferometric response using a polarization scrambler, Optics Communications, vol.190, issue.1-6, pp.147-152, 2001.
DOI : 10.1016/S0030-4018(01)01069-0

F. Heismann, Compact electro-optic polarization scramblers for optically amplified lightwave systems, Journal of Lightwave Technology, vol.14, issue.8, pp.1801-1814, 1996.
DOI : 10.1109/50.532017

H. Y. Pua, K. Peddanarappagari, B. Zhu, C. Allen, K. Demarest et al., An adaptive first-order polarization-mode dispersion compensation system aided by polarization scrambling : Theory and demonstration, J. Lightwave Technol, vol.18, pp.832-841, 2000.

A. Djupsjöbackadjupsj¨djupsjöbacka, On differential group-delay statistics for polarization-mode dispersion emulators, Journal of Lightwave Technology, vol.19, issue.2, pp.285-290, 2001.
DOI : 10.1109/50.917907

L. Yan, Q. Yu, and A. E. Willner, Periodic polarization scrambling with uniformly distributed SOPs on the Poincare sphere, 2002.

V. Mirvoda, D. Sandel, F. Wust, and R. Noé, Optimized polarization scramblers for PMD detection, Proc. ECOC 2002, 2002.

W. Hwang, M. Oh, H. Park, J. Ahn, S. G. Han et al., Polarization stabilizer using a polarization splitter and a thermooptic polymer waveguide device, IEEE Photonics Technology Letters, vol.10, issue.12, pp.1736-1738, 1998.
DOI : 10.1109/68.730486

K. Hirabayashi and C. Amano, Liquid-crystal polarization stabilizers on fiber arrays, Journal of Lightwave Technology, vol.21, issue.10
DOI : 10.1109/JLT.2003.816828

L. Yan, C. Yeh, G. Yang, L. Lin, Z. Chen et al., Programmable group-delay module using binary polarization switching Optical polarization division multiplexing at 4GB/S, J. Lightwave Technol. IEEE Photon. Technol. Lett, vol.21, issue.14, pp.1676-1684, 1992.

F. Heismann, P. B. Hansen, S. K. Korotky, G. Raybon, J. J. Veselka et al., Automatic polarisation demultiplexer polarisation-multiplexed transmission systems, Electronics Letters, vol.29, issue.22, pp.1965-1966, 1993.
DOI : 10.1049/el:19931308

]. D. Sandel, F. W. ¨-ust, V. Mirvoda, and R. Noé, Standard (NRZ 1×40Gb/s, 210km) and polarization multiplex (CS-RZ, 2×40Gb/s, 212km) transmissions with PMD compensation

R. Noé, D. Sandel, and F. , Polarization mode dispersion tolerance of bandwidthefficient multilevel modulation schemes, Proc. OFC, p.4, 2000.

S. Hinz, D. Sandel, R. Noé, and F. , Optical NRZ 2 ?? 10 Gbit/s polarisation division multiplex transmission with endless polarisation control driven by correlation signals, Electronics Letters, vol.36, issue.16, pp.1402-1403, 2000.
DOI : 10.1049/el:20001002

K. Hirabayashi, Electrically controllable liquid-crystal rotatable wave plate with variable phase retardation, Applied Optics, vol.44, issue.17, pp.3552-3559, 2005.
DOI : 10.1364/AO.44.003552

K. Hirabayashi and C. Amano, Feed-forward continuous and complete polarization control with a plzt rotatable-variable waveplate and inline polarimeter, Journal of Lightwave Technology, vol.21, issue.9, pp.1920-1932, 2003.
DOI : 10.1109/JLT.2003.816891

L. Dupont, T. Sansoni, and J. De-bougrenet-de-la-tocnaye, Endless smectic A* liquid crystal polarization controller, Optics Communications, vol.209, issue.1-3, pp.101-106, 2002.
DOI : 10.1016/S0030-4018(02)01560-2

L. Dupont, J. L. De-bougrenet-de-la-tocnaye, M. L. Gall, and D. Penninckx, Principle of a compact polarisation mode dispersion controller using homeotropic electroclinic liquid crystal confined single mode fibre devices, Optics Communications, vol.176, issue.1-3, pp.113-119, 2002.
DOI : 10.1016/S0030-4018(00)00511-3

Z. Zhuang, S. Suh, and J. Patel, Polarization controller using nematic liquid crystals, Optics Letters, vol.24, issue.10, pp.694-696, 1999.
DOI : 10.1364/OL.24.000694

W. Rong, L. Dupont, Y. Defosse, and P. Gautier, Driving algorithms for an endless polarization controller using two wave-plates, " soumisàsoumis`soumisà Opt, Commun, 2006.

E. W. Weisstein, Pauli matrices Disponible en ligne

D. H. Sattinger and O. L. Weaver, Lie groups and algebras with applications to physics, geometry and mechanics, 1985.
DOI : 10.1007/978-1-4757-1910-9

S. Huard, Polarisation de lalumì ere, 1994.

J. Gordon and H. Kogelnick, PMD fundamentals: Polarization mode dispersion in optical fibers, Proc. Nat. Acad. Sci, pp.4541-4550, 2000.
DOI : 10.1364/OL.16.000372

P. Pellat-finet, Repr??sentation des ??tats et des Op??rateurs de Polarisation de la Lumi??re Par des Quaternions, Optica Acta: International Journal of Optics, vol.3, issue.4, pp.415-434, 1984.
DOI : 10.1080/713821517

R. Horaud and O. Monga, Vision par ordinateur?outils fondamentaux, 2 e ´ edition

J. B. Kuipers, Quaternions and rotation sequences, 5 e ´ edition, 2002.

C. D. Poole and D. L. Favin, Polarization-mode dispersion measurements based on transmission spectra through a polarizer, Journal of Lightwave Technology, vol.12, issue.6, pp.917-929, 1994.
DOI : 10.1109/50.296179

E. Collett, Polarized Light : Fundamentals and Applications, 1993.

S. Lanne and E. Corbel, Practical Considerations for Optical Polarization-Mode Dispersion Compensators, Journal of Lightwave Technology, vol.22, issue.4, pp.1033-1040, 2004.
DOI : 10.1109/JLT.2004.824860

J. Bourderionnet, D. Dolfi, J. Huignard, B. Ea-kim, E. Corbel et al., Endless Fiber-to-Fiber Polarization Controller Based on Ceramic Programmable Waveplates, IEEE Photonics Technology Letters, vol.16, issue.4, pp.1101-1103, 2004.
DOI : 10.1109/LPT.2004.824617
URL : https://hal.archives-ouvertes.fr/hal-00145837

M. A. Santoro and C. D. Poole, Polarization scrambling using a short piece of high-birefringence optical fiber and a multifrequency laser diode, Journal of Lightwave Technology, vol.12, issue.2, pp.288-293, 1994.
DOI : 10.1109/50.350592

J. Prat and J. Comellas, Dispersion-shifted fiber polarization scrambler based on Faraday effect, IEEE Photonics Technology Letters, vol.11, issue.7, pp.845-847, 1999.
DOI : 10.1109/68.769727

H. Shimuzu and K. Kaede, Endless polarisation controller using electro-optic waveplates, Electronics Letters, vol.24, issue.7, pp.412-413, 1988.
DOI : 10.1049/el:19880279

K. Hirabayashi and C. Amano, Variable and rotatable waveplates of PLZT electrooptic ceramic material on planar waveguide circuits, IEEE Photonics Technology Letters, vol.14, issue.7, pp.956-958, 2002.
DOI : 10.1109/LPT.2002.1012397

Y. Defosse, P. Gautier, J. De-bougrenet-de-la-tocnaye, F. Colliou, A. Guenot et al., Stabilized liquid crystal rotatable fractional wave-plates stack for fast polarisation analysis and control, pp.23-27, 2004.

W. Rong and L. Dupont, ContrôleurContr?Contrôleur de polarisationàpolarisation`polarisationà base de nano-pdlc

T. Chiba, Y. Ohtera, and S. Kawakami, Polarization stabilizer using liquid crystal rotatable waveplates, Journal of Lightwave Technology, vol.17, issue.5, pp.885-890, 1999.
DOI : 10.1109/50.762907

R. Pindak and J. A. Rogers, In-line liquid-crystal microcell wave plates and their application for high-speed, reset-free polarization mode dispersion compensation in 40-Gbit/s systems, Appl. Opt, vol.42, pp.5407-5412, 2003.

Y. Fan, Y. Lin, H. Ren, S. Gauza, and S. Wu, Fast-response and scattering-free polymer network liquid crystals for infrared light modulators, Applied Physics Letters, vol.84, issue.8, pp.1233-1235, 2004.
DOI : 10.1063/1.1649816

T. Sansoni, ContrôleurContr?Contrôleur de polairsationàpolairsation`polairsationà base de cristaux liquides. Applications aux télécommunications optiques, Thèse, Ecole Nationale Supérieur des Télécommunications de Bretagne, 2004.

W. Rong, L. Dupont, and A. Tan, Degree of polarization and system penalty in first and second-order PMD compensation, Optical Networks SYMPOSIUM

W. Z. Wen-cai, J. , and Y. Zhang, PMD compensation methods in high-speed optical fiber communication systems, Optoelectronic Technology & Information, vol.18, pp.1-07, 2005.

W. Rong, L. Dupont, and A. Tan, Analyze of efficiency about DOP as a feed-back signal for PMD compensation with the presence of 2 nd PMD, soumisàsoumis`soumisà Annals of Telecommunications, 2006.

F. Bruyère, Impact of First- and Second-Order PMD in Optical Digital Transmission Systems, Optical Fiber Technology, vol.2, issue.3, pp.269-280, 1996.
DOI : 10.1006/ofte.1996.0033

G. J. Foschini, L. E. Nelson, R. Jopson, and H. Kogelnik, Statistics of second-order PMD depolarization, Journal of Lightwave Technology, vol.19, issue.12, pp.1882-1886, 2001.
DOI : 10.1109/50.971680

C. D. Poole and C. R. Giles, Polarization-dependent pulse compression and broadening due to polarization dispersion in dispersion-shifted fiber, Optics Letters, vol.13, issue.2, pp.155-157, 1988.
DOI : 10.1364/OL.13.000155

G. J. Foschini, R. Jopson, L. E. Nelson, and H. Kogelnik, The statistics of PMD-induced chromatic fiber dispersion, Journal of Lightwave Technology, vol.17, issue.9, pp.1560-1565, 1999.
DOI : 10.1109/50.788561

G. J. Foschini and C. D. Poole, Statistical theory of polarization dispersion in single mode fibers, Journal of Lightwave Technology, vol.9, issue.11, pp.1439-1456, 1991.
DOI : 10.1109/50.97630

N. Gisin, Solutions of the dynamical equation for polarization dispersion, Optics Communications, vol.86, issue.5, pp.371-373, 1991.
DOI : 10.1016/0030-4018(91)90497-2

G. J. Foschini, L. E. Nelson, R. Jopson, and H. Kogelnik, Probability densities of second-order polarization mode dispersion including polarization dependent chromatic fiber dispersion, IEEE Photonics Technology Letters, vol.12, issue.3, pp.293-295, 2000.
DOI : 10.1109/68.826918

R. Jopson, L. E. Nelson, H. Kogelnik, and G. J. Foschini, Probability densities of depolarization associated with second-order PMD in optical fibers, OFC 2001. Optical Fiber Communication Conference and Exhibit. Technical Digest Postconference Edition (IEEE Cat. 01CH37171), pp.4-5, 2001.
DOI : 10.1109/OFC.2001.927474

L. E. Nelson, R. Jopson, H. Kogelnik, and G. J. Foschini, Measurement of depolarization and scaling associated with second-order polarisation mode dispersion in optical fibers

E. Ibragimov, G. Shtengel, and S. Suh, Statistical correlation between first and second-order PMD, Journal of Lightwave Technology, vol.20, issue.4, pp.586-590, 2002.
DOI : 10.1109/50.996577

A. Tan, L. Dupont, and M. Gadonna, Evaluation du logiciel de simulation V P ItransmissionM aker T M W DM pour l'´ etude de la dispersion modale de polarisation (PMD) du 1 er et du 2 e ordre, Ecole Nationale Supérieur des Télécommunications de Bretagne, 2005.

J. Poirrier, F. Buchali, and H. , Higher order PMD canceller, Optical Fiber Communication Conference and Exhibit, pp.236-237, 2002.
DOI : 10.1109/OFC.2002.1036329

H. Sunnerud, M. Karlsson, M. Westlund, and P. Andrekson, Higher-order PMD compensator with a simple feedback signal, Proc. ECOC 2002, 2002.

K. Ikeda, Simple PMD compensator with higher order PMD mitigation, Journal of Lightwave Technology, pp.111-112, 2003.
DOI : 10.1109/OFC.2003.1247530

Y. Mimura, K. Ikeda, T. Hatano, T. Takagi, S. Wako et al., PMD compensateur and PMD emulator, Furukawa Review, vol.24, pp.23-28, 2003.

U. Neukirch, M. Hempstead, G. Piech, Y. Mauro, M. Mlejnek et al., Time-Resolved Performance Analysis of a Second-Order PMD Compensator, Journal of Lightwave Technology, vol.22, issue.4, pp.1189-1200, 2004.
DOI : 10.1109/JLT.2004.825898

N. Gisin and J. P. Pellaux, Polarization mode dispersion: time versus frequency domains, Optics Communications, vol.89, issue.2-4, pp.316-323, 1992.
DOI : 10.1016/0030-4018(92)90178-T

F. Bruyère, Effets de polarisation dans les systèmessystèmes`systèmesà amplification optique de longue distance, Thèse, 1994.

D. Disponible-en-ligne, V. Penninckx, and . Morénas, Jones matrix of polarization mode disopersion, Opt. Lett, vol.24, pp.875-877, 1999.

A. Eyal, W. K. Marshall, M. Tur, and A. Yariv, Representation of second-order polarisation mode dispersion, Electronics Letters, vol.35, issue.19, pp.1658-1659, 1999.
DOI : 10.1049/el:19991136

H. Kogelnik, L. E. Nelson, J. P. Gordon, and R. M. Jopson, Jones matrix for second-order polarization mode dispersion, Optics Letters, vol.25, issue.1, pp.19-21, 2000.
DOI : 10.1364/OL.25.000019

E. Forestieri and L. Vincetti, Exact evaluation of the Jones matrix of a fiber in the presence of polarization mode dispersion of any order, Journal of Lightwave Technology, vol.19, issue.12, pp.1898-1909, 2001.
DOI : 10.1109/50.971683

N. Kikuchi, Analysis of signal degree of polarization degradation used as control signal for optical polarization mode dispersion compensation, Journal of Lightwave Technology, vol.19, issue.4, pp.480-486, 2001.
DOI : 10.1109/50.920845

J. Wang, J. Yu, Y. Li, and H. Hu, Theoretical investigation of DOP as feedback control signals for PMD compensation, Optical Transmission, Switching, and Subsystems II
DOI : 10.1117/12.572579

K. Xu, Y. Dai, J. Mao, X. Chen, X. Li et al., Study of dynamic PMD compensation system using signal DOP as the feedback control signal, Acta Optica Sinica, vol.23, pp.1204-1209, 2003.

C. D. Poole, R. W. Tkach, A. R. Chraplyvy, and D. A. Fishman, Fading in lightwave systems due to polarization-mode dispersion, IEEE Photonics Technology Letters, vol.3, issue.1, pp.68-70, 1991.
DOI : 10.1109/68.68051

H. Kogelnik, R. M. Jopson, and L. E. Nelson, Polarization-Mode Dispersion in « Optical Fiber Telecommunications IVB, 2002.

P. J. Winzer, H. Kogelnik, C. H. Kim, R. M. Jopson, L. E. Nelson et al., Receiver impact on first-order PMD outage, IEEE Photonics Technology Letters, vol.15, issue.10, pp.1482-1484, 2003.
DOI : 10.1109/LPT.2003.817995