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Interaction length of DM solitons in the presence of third order dispersion with loss and amplification
1. | Departamento de Teoría de la Señal y Comunicaciones, Universidad de Vigo, ETSI Telecomunicación, Campus Universitario s/n, 36310 Vigo, Spain |
2. | Departamento de Teoría de la Señal y Comunicaciones e Ingeniería Telemática, Universidad de Valladolid, ETSI Telecomunicación, Campus Miguel Delibes s/n, 47011 Valladolid, Spain |
References:
[1] |
G. P. Agrawal, "Nonlinear Fiber Optics,", 3rd edition, (2001). Google Scholar |
[2] |
D. Anderson, Variational approach to nonlinear pulse propagation in optical fibers,, Phys. Rev. A, 27 (1983).
doi: 10.1103/PhysRevA.27.3135. |
[3] |
M. K. Chin and X. Y. Tang, Quasi-stable soliton transmission in dispersion managed fiber links with lumped amplifiers,, IEEE Photon. Technol. Lett., 9 (1997), 538.
doi: 10.1109/68.559414. |
[4] |
F. J. Diaz-Otero and P. Chamorro-Posada, Interchannel soliton collisions in periodic dispersion maps in the presence of third order dispersion,, J. Nonlin. Math. Phys., 15 Supp. 3 (2008), 137.
doi: 10.2991/jnmp.2008.15.s3.14. |
[5] |
I. Gabitov, E. G. Shapiro and S. K. Turitsyn, Optical pulse dynamics in fiber links with dispersion compensation,, Opt. Commun., 134 (1997), 317.
doi: 10.1016/S0030-4018(96)00574-3. |
[6] |
K. Hizanidis, B. Malomed, H. Nistazakis and D. Frantzeskakis, Stabilizing soliton transmission by third-order dispersion in dispersion-compensated fibre links,, Pure Appl. Opt., 7 (1998).
doi: 10.1088/0963-9659/7/4/003. |
[7] |
T. Inoue, H. Sugahara, A. Maruta and Y. Kodama, Interactions between dispersion managed solitons in optical-time-division-multiplexed systems,, IEEE Photon. Technol. Lett., 12 (2000), 299.
doi: 10.1109/68.826920. |
[8] |
D. J. Kaup, B. A. Malomed and J. Yang, Collision-induced pulse timing jitter in a wavelength-division-multiplexing system with strong dispersion management,, J. Opt. Soc. Am. B, 16 (1999), 1628.
doi: 10.1364/JOSAB.16.001628. |
[9] |
T. Lakoba and G. Agrawal, Effects of third-order dispersion on dispersion-managed solitons,, J. Opt. Soc. Am. B, 16 (1999), 1332.
doi: 10.1364/JOSAB.16.001332. |
[10] |
T. I. Lakoba, J. Yang, D. J. Kaup and B. A. Malomed, Conditions of stationary pulse propagation in the strong dispersion management regime,, Opt. Commun., 149 (1998), 366.
doi: 10.1016/S0030-4018(98)00015-7. |
[11] |
B. A. Malomed, D. F. Parker and N. F. Smyth, Resonant shape oscillations and decay of a soliton in a periodically inhomogeneous nonlinear optical fiber,, Phys. Rev. E, 48 (1993), 1418.
doi: 10.1103/PhysRevE.48.1418. |
[12] |
M. Matsumoto, Analysis of interaction between stretched pulses propagating in dispersion-managed fibers,, Photon. Technol. Lett., 10 Supp. 3 (1998), 373.
doi: 10.1109/68.661414. |
[13] |
L. F. Mollenauer and J. P. Gordon, "Solitons in Optical Fibers: Fundamentals and Applications,", Elsevier/Academic Press, (2006). Google Scholar |
[14] |
S. Mookherjea and A. Yariv, Hamiltonian dynamics of breathers with third-order dispersion,, J. Opt. Soc. Am. B, 18 (2001), 1150.
doi: 10.1364/JOSAB.18.001150. |
[15] |
T. Okamawari, Y. Ueda, A. Maruta, Y. Kodama and A. Hasegawa, Interaction between guiding centre solitons in a periodically compensated optical transmission line,, Electron. Lett., 33 (1997), 1063.
doi: 10.1049/el:19970715. |
[16] |
L. J. Richardson, J. H. B. Nijhof and W. Forysiak, An interpretation of the energy variations of dispersion managed solitons in terms of effective average dispersion,, Opt. Commun., 189 (2001), 63.
doi: 10.1016/S0030-4018(01)01004-5. |
[17] |
N. J. Smith, N. J. Doran, F. M. Knox and W. Forysiak, Energy-scaling characteristics of solitons in strongly dispersion-managed fibers,, Opt. Lett., 21 (1996), 1981.
doi: 10.1364/OL.21.001981. |
[18] |
N. J. Smith, F. M. Knox, N. J. Doran, K. J. Blow and I. Bennion, Enhanced power solitons in optical fibers with periodic dispersion management,, Electron. Lett., 32 (1996), 54.
doi: 10.1049/el:19960062. |
[19] |
H. Sugahara, H. Kato, T. Inoue, A. Maruta and Y. Kodama, Optimal dispersion management for a wavelength division multiplexed optical soliton transmission system,, J. Lightwave Technol., 17 (1999).
doi: 10.1109/50.788560. |
[20] |
M. Suzuki, I. Morita, N. Edagawa, S. Yamamoto, H. Taga and S. Akiba, Reduction of Gordon-Haus timing jitter by periodic dispersion compensation in soliton transmission,, Electron. Lett., 31 (1995), 2027.
doi: 10.1049/el:19951387. |
[21] |
M. Wald, B. A. Malomed and F. Lederer, Interactions of dispersion-managed solitons in wavelength-division-multiplexed optical transmission lines,, Opt. Lett., 26 (2001), 965.
doi: 10.1364/OL.26.000965. |
[22] |
M. Wald, B. A. Malomed and F. Lederer, Interaction of moderately dispersion-managed solitons,, Opt. Commun., 172 (1999), 31.
doi: 10.1016/S0030-4018(99)00621-5. |
[23] |
T. S. Yang and W. L. Kath, Analysis of enhanced-power solitons in dispersion-managed optical fibers,, Opt. Lett., 22 (1997), 985.
doi: 10.1364/OL.22.000985. |
[24] |
T. Yu, E. A. Golovchenko, A. N. Pilipetskii and C. R. Menyuk, Dispersion-managed soliton interactions in optical fibers,, Opt. Lett., 22 (1997), 793.
doi: 10.1364/OL.22.000793. |
[25] |
T. Yu, R.-M. Mu, V. S. Grigoryan and C. R. Menyuk, Energy enhancement of dispersion-managed solitons in optical fiber transmission systems with lumped amplifiers,, IEEE Photon. Technol. Lett., 11 (1999), 75.
doi: 10.1109/68.736397. |
show all references
References:
[1] |
G. P. Agrawal, "Nonlinear Fiber Optics,", 3rd edition, (2001). Google Scholar |
[2] |
D. Anderson, Variational approach to nonlinear pulse propagation in optical fibers,, Phys. Rev. A, 27 (1983).
doi: 10.1103/PhysRevA.27.3135. |
[3] |
M. K. Chin and X. Y. Tang, Quasi-stable soliton transmission in dispersion managed fiber links with lumped amplifiers,, IEEE Photon. Technol. Lett., 9 (1997), 538.
doi: 10.1109/68.559414. |
[4] |
F. J. Diaz-Otero and P. Chamorro-Posada, Interchannel soliton collisions in periodic dispersion maps in the presence of third order dispersion,, J. Nonlin. Math. Phys., 15 Supp. 3 (2008), 137.
doi: 10.2991/jnmp.2008.15.s3.14. |
[5] |
I. Gabitov, E. G. Shapiro and S. K. Turitsyn, Optical pulse dynamics in fiber links with dispersion compensation,, Opt. Commun., 134 (1997), 317.
doi: 10.1016/S0030-4018(96)00574-3. |
[6] |
K. Hizanidis, B. Malomed, H. Nistazakis and D. Frantzeskakis, Stabilizing soliton transmission by third-order dispersion in dispersion-compensated fibre links,, Pure Appl. Opt., 7 (1998).
doi: 10.1088/0963-9659/7/4/003. |
[7] |
T. Inoue, H. Sugahara, A. Maruta and Y. Kodama, Interactions between dispersion managed solitons in optical-time-division-multiplexed systems,, IEEE Photon. Technol. Lett., 12 (2000), 299.
doi: 10.1109/68.826920. |
[8] |
D. J. Kaup, B. A. Malomed and J. Yang, Collision-induced pulse timing jitter in a wavelength-division-multiplexing system with strong dispersion management,, J. Opt. Soc. Am. B, 16 (1999), 1628.
doi: 10.1364/JOSAB.16.001628. |
[9] |
T. Lakoba and G. Agrawal, Effects of third-order dispersion on dispersion-managed solitons,, J. Opt. Soc. Am. B, 16 (1999), 1332.
doi: 10.1364/JOSAB.16.001332. |
[10] |
T. I. Lakoba, J. Yang, D. J. Kaup and B. A. Malomed, Conditions of stationary pulse propagation in the strong dispersion management regime,, Opt. Commun., 149 (1998), 366.
doi: 10.1016/S0030-4018(98)00015-7. |
[11] |
B. A. Malomed, D. F. Parker and N. F. Smyth, Resonant shape oscillations and decay of a soliton in a periodically inhomogeneous nonlinear optical fiber,, Phys. Rev. E, 48 (1993), 1418.
doi: 10.1103/PhysRevE.48.1418. |
[12] |
M. Matsumoto, Analysis of interaction between stretched pulses propagating in dispersion-managed fibers,, Photon. Technol. Lett., 10 Supp. 3 (1998), 373.
doi: 10.1109/68.661414. |
[13] |
L. F. Mollenauer and J. P. Gordon, "Solitons in Optical Fibers: Fundamentals and Applications,", Elsevier/Academic Press, (2006). Google Scholar |
[14] |
S. Mookherjea and A. Yariv, Hamiltonian dynamics of breathers with third-order dispersion,, J. Opt. Soc. Am. B, 18 (2001), 1150.
doi: 10.1364/JOSAB.18.001150. |
[15] |
T. Okamawari, Y. Ueda, A. Maruta, Y. Kodama and A. Hasegawa, Interaction between guiding centre solitons in a periodically compensated optical transmission line,, Electron. Lett., 33 (1997), 1063.
doi: 10.1049/el:19970715. |
[16] |
L. J. Richardson, J. H. B. Nijhof and W. Forysiak, An interpretation of the energy variations of dispersion managed solitons in terms of effective average dispersion,, Opt. Commun., 189 (2001), 63.
doi: 10.1016/S0030-4018(01)01004-5. |
[17] |
N. J. Smith, N. J. Doran, F. M. Knox and W. Forysiak, Energy-scaling characteristics of solitons in strongly dispersion-managed fibers,, Opt. Lett., 21 (1996), 1981.
doi: 10.1364/OL.21.001981. |
[18] |
N. J. Smith, F. M. Knox, N. J. Doran, K. J. Blow and I. Bennion, Enhanced power solitons in optical fibers with periodic dispersion management,, Electron. Lett., 32 (1996), 54.
doi: 10.1049/el:19960062. |
[19] |
H. Sugahara, H. Kato, T. Inoue, A. Maruta and Y. Kodama, Optimal dispersion management for a wavelength division multiplexed optical soliton transmission system,, J. Lightwave Technol., 17 (1999).
doi: 10.1109/50.788560. |
[20] |
M. Suzuki, I. Morita, N. Edagawa, S. Yamamoto, H. Taga and S. Akiba, Reduction of Gordon-Haus timing jitter by periodic dispersion compensation in soliton transmission,, Electron. Lett., 31 (1995), 2027.
doi: 10.1049/el:19951387. |
[21] |
M. Wald, B. A. Malomed and F. Lederer, Interactions of dispersion-managed solitons in wavelength-division-multiplexed optical transmission lines,, Opt. Lett., 26 (2001), 965.
doi: 10.1364/OL.26.000965. |
[22] |
M. Wald, B. A. Malomed and F. Lederer, Interaction of moderately dispersion-managed solitons,, Opt. Commun., 172 (1999), 31.
doi: 10.1016/S0030-4018(99)00621-5. |
[23] |
T. S. Yang and W. L. Kath, Analysis of enhanced-power solitons in dispersion-managed optical fibers,, Opt. Lett., 22 (1997), 985.
doi: 10.1364/OL.22.000985. |
[24] |
T. Yu, E. A. Golovchenko, A. N. Pilipetskii and C. R. Menyuk, Dispersion-managed soliton interactions in optical fibers,, Opt. Lett., 22 (1997), 793.
doi: 10.1364/OL.22.000793. |
[25] |
T. Yu, R.-M. Mu, V. S. Grigoryan and C. R. Menyuk, Energy enhancement of dispersion-managed solitons in optical fiber transmission systems with lumped amplifiers,, IEEE Photon. Technol. Lett., 11 (1999), 75.
doi: 10.1109/68.736397. |
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