Dispersion-managed soliton in fiber links with in-line filtering presented in the basis of chirped Gauss-Hermite functions

Journal of the Optical Society of America B: Optical Physics

Volumn 16, Issue 9, 1999, Pages 1321-1331

  Turitsyn, Sergei K ^a   Shapiro, Elena G ^b  

^a ASTON UNIVERSITY   (United Kingdom)

^b INSTITUTE OF AUTOMATION AND ELECTROMETRY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0007236039     PISSN: 07403224     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAB.16.001321     Document Type: Article

References (82)

1. L. F. Mollenauer, J. P. Gordon, and P. V. Mamyshev, in Optical Fiber Telecommunications, I. P. Kaminow and T. L. Koch eds. (Academic, San Diego, Calif., 1997), Vol. IIIA, Chap. 12, p. 373.
2. L. F. Mollenauer, P. V. Mamyshev, and M. J. Neubelt, "Demonstration of soliton WDM transmission at up to 8 X 10 Gbit/s, error-free over transoceanic distances," in Optical Fabrication and Testing, Vol. 2 of 1996 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1996), postdeadline paper PD22.
3. L. F. Mollenauer, S. G. Evangelides, Jr., and H. A. Haus, "Long-distance soliton propagation using lumped amplifiers and dispersion-shifted fiber," J. Lightwave Technol. 9, 194-201 (1994).
4. A. Hasegawa and Y. Kodama, "Guiding-center soliton in optical fibers," Opt. Lett. 15, 1443-1445 (1990); "Guidingcenter soliton." Phys. Rev. Lett. 66, 161-164 (1991).
5. A. Hasegawa and Y. Kodama, "Guiding-center soliton in optical fibers," Opt. Lett. 15, 1443-1445 (1990); "Guidingcenter soliton." Phys. Rev. Lett. 66, 161-164 (1991).
6. K. J. Blow and N. J. Doran, "Average soliton dynamics and the operation of soliton systems with lumped amplifiers," IEEE Photonics Technol. Lett. 3, 369-371 (1991).
7. C. Lin, H. Kogelnik, and L. G. Cohen, "Optical-pulse equalization of low-dispersion transmission in single-mode fibers in the 1.3-1.7-μtm spectral region," Opt. Lett. 5, 476-479 (1980).
8. A. D. Ellis and D. M. Spirit, "Unrepeated transmission over 80 km standard fibre at 40 Gbit/s," Electron. Lett. 30, 72-74 (1994).
9. D. M. Rothnie and J. E. Midwinter, ""Improved standard fibre performance by positioning the dispersion compensat-ing fibre," Electron. Lett. 32, 1907-1911 (1996).
10. C. Das, U. Gaubatz, E. Gottwald, K Kotten, F. Küppers, A. Mattheus, and C. J. Weiske, "Straightforward upgrading of transmission systems to 4 × 10 Gbit/s through 617 km and 8 × 10 Gbit/s through 412 km of SMF," Electron. Lett. 31, 305-307 (1995).
11. 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, 2027-2028 (1995).
12. N. Smith, F. M. Knox, N. J. Doran, K. J. Blow, and I. Bennion, "Enhanced power solitons in optical fiber transmission line," Electron. Lett. 32, 54-55 (1996).
13. I. Gabitov and S. K. Turitsyn, "Averaged pulse dynamics in a cascaded transmission system with passive dispersion compensation," Opt. Lett. 21, 327-330 (1996); "Breathing solitons in optical fiber links," JETP Lett. 63, 861-865 (1996).
14. I. Gabitov and S. K. Turitsyn, "Averaged pulse dynamics in a cascaded transmission system with passive dispersion compensation," Opt. Lett. 21, 327-330 (1996); "Breathing solitons in optical fiber links," JETP Lett. 63, 861-865 (1996).
15. M. Nakazawa and H. Kubota, "Optical soliton communication in a positively and negatively dispersion-allocated optical fiber transmission line," Electron. Lett. 31, 216-217 (1995).
16. M. Nakazawa, H. Kubota, A. Sahara, and K. Tamura, "Marked increase in the power margin through the use of a dispersion-allocated soliton," IEEE Photon. Technol. Lett. 8, 452-454 (1996).
17. N. S. Bergano, C. Davidson, M. Ma, A. Pilipetskii, S. Evangelides, H. Kidorf, J. Darcie, E. Golovchenko, K. Rottwitt, P. Corbett, R. Menges, M. Mils, B. Pedersen, D. Peckham, A. Abramov, and A. Vengsarkar, "320 Gb/s WDM transmission (64 × 5 Gb/s) over 7200 km using large mode fiber spans and chirped return-to-zero signals," in Optical Fiber Communication Conference (OFC), Vol. 2 of 1998 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1998), postdeadline paper PD12.
18. N. Robinson, G. Davis, J. Fee, G. Grasso, P. Franco, A. Zuccala, A. Cavaciuti, M. Macchi, A. Schiffini, L. Bonato, and R. Corsini, "4 × SONET OC-192 field installed dispersion managed soliton system over 450 km of standard fiber in the 1550 nm erbium band," in Optical Fiber Communication Conference (OFC), Vol. 2 of 1998 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1998), postdeadline paper PD19.
19. H. A. Haus, K. Tamura, L. E. Nelson, and E. P. Ippen. "Stretched-pulse additive pulse mode-locking in fiber ring lasers: theory and experiment," IEEE J. Quantum Electron. 31, 591-603 (1995).
20. R. Kashyap, S. V. Chernikov, P. F. McKee, and J. R. Taylor, "30 ps chromatic dispersion compensation of 400 fs pulses at 100 Gbit/s in optical fibers using an all photoinduced chirped reflection grating," Electron. Lett. 30, 1078-1080 (1994).
21. M. Nakazawa, K. Suzuki, H. Kubota, and E. Yamada, "60 G/bits WDM (20 G/bits × 3 unequally spaced channels) soliton transmission over 10000 km using in-line synchronous modulation and optical filtering," Electron. Lett. 32, 1686-1688 (1996).
22. M. Suzuki, I. Morita, K Tanaka, N. Edagawa, S. Yamamoto, and S. Akiba, "160 Gbit/s (8 × 20 Gbit/s) soliton WDM transmission experiments using dispersion flattened fibre and periodic dispersion compensation," presented at the 1997 European Conference on Optical Communications, Edinburgh, September 19-23, 1997.
23. D. Le Guen, F. Favre, M. L. Moulinard, M. Henry, F. Devaux, and T. Georges, "320 Gbit/s soliton WDM transmission over 1100 km with 100 km dispersion-compensated spans of standard fibre," presented at the 1997 European Conference on Optical Communications, Edinburgh, September 19-23, 1997.
24. N. S. Bergano, C. R. Davidson, A. Mills, P. C. Corbett, S. G. Evangelides, B. Pedersen, R. Menges, J. L. Ztskind, J. W. Sulhoff, A. K. Srivastava, C. Wolf, and J. Judkins, "Long-haul WDM transmission using optimum channel modulation: a 160 Gb/s (32 × 5 Gb/s) 9,3000 km demonstration," in Optical Fiber Communication Conference, Vol. 6 of 1997 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1997), postdeadline paper PD16.
25. O. Leclerc and E. Desurvire, "Performance limits in 80-160 Gbit/s (N × 20 Gbit/s) regenerated WDM soliton transmission," presented at the 1997 European Conference on Optical Communications, Edinburgh, September 19-23, 1997.
26. E. A. Golovchenko, J. M. Jacob, A. N. Pilipetskii, C. R. Menyuk, and G. M. Carter, "Dispersion-managed solitons in a fiber loop with in-line filtering," Opt. Lett. 22, 289-291 (1997).
27. E. A. Golovchenko, A. N. Pilipetskii, and C. R. Menyuk, "Dispersion-managed soliton interactions in optical fibers," Opt. Lett. 22, 793-795 (1997).
28. M. Matsumoto, "Effects of guiding filters on stretched-pulse transmission in dispersion-managed fibres," Electron. Lett. 33, 1718-1719 (1997).
29. S. Wabnitz, "Stabilization of sliding-filtered soliton WDM transmissions by dispersion compensating fibers," Opt. Lett. 21, 638-640 (1996).
30. A. B. Grudinin, M. Durkin, M. Ibsen, R. I. Laming, A. Schiffini, P. Franco, E. Grandi, and M. Romagnoli, "Straight-line 10 Gbit/s soliton transmission over 100 km of standard fibre with in-line chirped fibre grating for partial dispersion compensation," Electron. Lett. 33, 1572-1573 (1997).
31. M. J. Cole, H. Geiger, R. L Laming, S. Y. Set, M. N. Zervas, W. H. Loh, and V. Gusmeroli, "Broadband dispersion-compensating chirped fibre gratings in 10 Gbit/s NRZ 110 km non-dispersion-shifted fibre link operating at 1.55 μm, " Electron. Lett. 33, 70-71 (1997).
32. D. Breuer, K. Juergensen, F. Kueppers, A. Mattheus, I. Gabitov, and S. K. Turitsyn, "Optimal schemes for dispersion compensation of standard monomode fiber based links," Opt. Commun. 140, 15-18 (1997).
33. S. K Turitsyn and V. K Mezentsev, "Dynamics of self-similar dispersion-managed soliton presented in the basis of chirped Gauss-Hermite functions," JETP Lett. 67, 640-645 (1998).
34. F. Matera and M. Settembre, "Comparison of the performance of optically amplified transmission systems," J. Lightwave Technol. 14, 1-12 (1996).
35. A. Mattheus and S. K Turitsyn, "Pulse interaction in nonlinear communication systems based on standard monomode fibres," presented at the 1993 European Conference on Optical, Montreux, Switzerland, September 12-16, 1993.
36. F. M. Knox, W. Forysiak, and N. J. Doran, "10 Gbit/s soliton communication systems over standard fibre at 1.55 μm and the use of dispersion compensation," IEEE J. Lightwave Technol. 13, 1955-1963 (1995).
37. 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, 1981-1984 (1997).
38. T. Georges and B. Charbonnier, "Reduction of the dispersive wave in periodically amplified links with initially chirped solitons," IEEE Photon. Technol. Lett. 9, 127-128 (1997).
39. T. Georges and F. Favre, "Transmission systems based on dispersion-managed solitons: theory and experiment," presented at the Second International Symposium on Physics and Applications of Optical Solitons in Fibers, Kyoto, Japan, November, 1997.
40. T. Georges, "Soliton interaction in dispersion-managed links," J. Opt. Soc. Am. B 15, 1553-1560 (1998).
41. T. Georges, "Extended path-averaged soliton regime in highly dispersive fibers," Opt. Lett. 22, 679-681 (1997).
42. I. Gabitov, E. G. Shapiro, and S. K Turitsyn, "Optical pulse dynamics in fiber links with dispersion compensation," Opt. Commun. 134, 317-329 (1996); "Asymptotic breathing pulse in optical transmission systems with dispersion compensation," Phys. Rev. E 55, 3624-3633 (1997).
43. I. Gabitov, E. G. Shapiro, and S. K Turitsyn, "Optical pulse dynamics in fiber links with dispersion compensation," Opt. Commun. 134, 317-329 (1996); "Asymptotic breathing pulse in optical transmission systems with dispersion compensation," Phys. Rev. E 55, 3624-3633 (1997).
44. J. M. Jacob, E. A. Golovchenko, A. N. Pilipetskii, G. M. Carter, and C. R. Menyuk, "Experimental demonstration of soliton transmission over 28 Mm using mostly normal dispersion fiber." IEEE Photon. Technol. Lett. 9, 130-132 (1997).
45. M. Matsumoto and H. A. Haus, "Stretched-pulse optical fiber communications," IEEE Photon. Technol. Lett. 9, 785-788 (1997).
46. S. K. Turitsyn, "Theory of averaged pulse propagation in high-bit-rate optical transmission systems with strong dispersion management," JETP Lett. 65, 845-851 (1997).
47. T. S. Yang and W. L. Kath, "Analysis of enhanced-power solitons in dispersion-managed optical fibers," Opt. Lett. 22, 985-987 (1997).
48. D. Breuer, F. Kueppers, A. Mattheus, E. G. Shapiro, I. Gabitov, and S. K. Turitsyn, "Symmetrical dispersion compensation for standard monomode-fiber-based communication systems with large amplifying spacing," Opt. Lett. 22, 546-549 (1997).
49. M. Matsumoto, Theory of stretched-pulse transmission in dispersion-managed fibers," Opt. Lett. 22, 1238-1240 (1997).
50. A. Sahara, H. Kubota, and M. Nakazawa, "Optimum fiber dispersion for two-step dispersion-allocated optical soliton, RZ at zero GVD and NRZ systems," IEEE Photon. Technol. Lett. 9, 1179-1181 (1997).
51. S. Kumar and A. Hasegawa, "Quasi-soliton propagation in dispersion managed optical fibers," Opt. Lett. 22, 372-375 (1997).
52. A, Hasegawa, Y. Kodama, and A. Maruta, "Recent progress in dispersion-managed soliton transmission technologies," Opt. Fiber Technol.: Mater., Devices Syst. 3, 197-213 (1997).
53. E. Shapiro and S. K. Turitsyn, "Theory of guiding-center breathing soliton propagation in optical communication systems with strong dispersion management," Opt. Lett. 22, 1544-1547 (1997).
54. E. Shapiro and S. K. Turitsyn, "Enhanced power breathing soliton in communication systems with dispersion management," Phys. Rev. E 56, R4951-R4954 (1997).
55. J. N. Kutz, P. Holmes, S. G. Evangelides, Jr., and J. P. Gordon, "Hamiltonian dynamics of dispersion managed breathers," J. Opt. Soc. Am. B 15, 87-96 (1997).
56. J. N. Kutz and S. G. Evangelides, Jr., "Dispersion managed breathers with average normal dispersion," Opt. Lett. 23, 685-688 (1998).
57. J. N. Kutz and A. Wai, "Noise-induced amplitude and chirp jitter in dispersion-managed soliton communications," Opt. Lett. 23, 1022-1025 (1998).
58. T. S. Yang, W. L. Kath, and S. K Turitsyn, "Optimal dispersion maps for wavelength-division-multiplexed soliton transmission," Opt. Lett. 23, 597-599 (1998).
59. V. S. Grigoryan, T. Yu, E. A. Golovchenko, C. R. Menyuk, and A. N. Pilipetskii, "Dispersion-managed soliton dynamics," Opt. Lett. 22, 1609-1611 (1997).
60. V. S. Grigoryan and C. R. Menyuk, "Dispersion-managed soliton at normal average dispersion," Opt. Lett. 23, 609-611 (1998).
61. S. K. Turitsyn and E. G. Shapiro, "Variational approach to the design of optical communication systems with dispersion management," Opt. Fiber Technol.: Mater., Devices Syst. 4, 151-168 (1998).
62. J. H. B. Nijhof, N. J. Doran, W. Forysiak, and F. M. Knox, "Stable soliton-like propagation in dispersion managed systems with net anomalous, zero and normal dispersion," Electron. Lett. 33, 1726-1727 (1997).
63. J. H. B. Nijhof, N. J. Doran, W. Forysiak, and A. Berntson, "Energy enhancement of dispersion-managed solitons and WDM," Electron. Lett. 34, 481-482 (1998).
64. J. P. Gordon, "Interaction forces among solitons in optical fibers," Opt. Lett. 8, 596-598 (1983).
65. M. Wald, I. M. Uzunov, F. Lederer, and S. Wabuitz, "Optimization of periodically dispersion compensated breathing soliton transmissions." IEEE Photon. Technol. Lett. 9, 1670-1672 (1997).
66. S. K. Turitsyn, I. Gabitov, E. W. Laedke, V. K Mezentsev, S. L. Musher, E. G. Shapiro, T. Schäfer, and K. H. Spatschek, "Variational approach to optical pulse propagation in dispersion compensated transmission systems," Opt. Commun. 151, 117-142 (1998).
67. S. K. Turitsyn and E. G. Shapiro, "Dispersion-managed soliton in optical amplifier transmission systems with zero average dispersion," Opt. Lett. 23, 682-684 (1998).
68. S. K. Turitsyn, N. F. Smyth, and E. G. Turitsyna, "Solitary waves in nonlinear dispersive systems with zero average dispersion," Phys. Rev. E 58, R44-R48 (1998).
69. S. K. Turitsyn, A. B. Aceves, C. K. R. T. Jones, and V. Zharnitsky, "Average dynamics of the optical soliton in communication lines with dispersion management: analytical results," Phys, Rev. E 58, R48-R52 (1998).
70. T. Lakoba, J. Yang, D. J. Kaup, and B. A. Malomed, "Conditions for stationary pulse propagation in the strong dispersion management regime," Opt. Commun. 149, 366-374 (1998).
71. T. Lakoba and D. J. Kaup, "Shape of stationary pulse in strong dispersion management regime," Electron. Lett. 34, 1124-1126 (1998).
72. T. Lakoba and D. J. Kaup, "Hermite-Gaussian expansion for pulse propagation in strongly dispersion managed fibers," Phys. Rev. E 58, 6728-6736 (1998).
73. S. K. Turitsyn, T. Schäfer, and V. K. Mezentsev, "Self-similar core and oscillatory tails of a path-averaged chirped dispersion-managed optical pulse," Opt. Lett. 23, 1351-1353 (1998).
74. S. K. Turitsyn, "Self-similar dynamics and oscillatory tails of a breathing soliton in systems with varying dispersion," Phys. Rev. E 58, R1256-R1260 (1998).
75. V. E. Zakharov and A. B. Shabat, "Exact theory of two dimensional self-focusing and one-dimensional self-modulation of waves in nonlinear media," Zh. Eksp. Teor. Fiz. 61, 118-134 (1971).
76. P. Lazaridis, G. Debarge, and P. Gallion, "Exact solutions for linear propagation of chirped pulses using a chirped Gauss-Hermite orthogonal basis," Opt. Lett. 22, 685-687 (1997).
77. M. Matsumoto, "Effect of guiding filters on stretched-pulse transmission in dispersion-managed fibers," Electron. Lett. 33, 1718-1720 (1997).
78. L. F. Mollenauer, P. V. Mamyshev, and J. P. Gordon, "Effect of guiding filters on the behavior of dispersion-managed solitons," Opt. Lett. 24, 220-222 (1999).
79. J. P. Gordon and L. F. Mollenauer, "Scheme for the characterization of dispersion-managed solitons," Opt. Lett. 24, 223-225 (1999).
80. S. K. Turitsyn, E. G. Shapiro, and V. K. Mezentsev, "Dispersion-managed solitons and optimization of the dispersion management," Opt. Fiber Technol.: Mater., Devices Syst. 4, 384-452 (1998).
81. A. Mecozzi, J. D. Moores, H. A. Haus, and Y. Lai, "Soliton transmission control," Opt. Lett. 16, 1841-1843 (1991); "Modulation and filtering control of soliton transmission," J. Opt. Soc. Am. B 9, 1350-1357 (1992).
82. A. Mecozzi, J. D. Moores, H. A. Haus, and Y. Lai, "Soliton transmission control," Opt. Lett. 16, 1841-1843 (1991); "Modulation and filtering control of soliton transmission," J. Opt. Soc. Am. B 9, 1350-1357 (1992).