Radiation loss of dispersion-managed solitons in optical fibers

Physica D: Nonlinear Phenomena

Volumn 149, Issue 1-2, 2001, Pages 80-94

  Yang, Tian Shiang ^a   Kath, William L ^b  

^a NATIONAL CHENG KUNG UNIVERSITY   (Taiwan)

^b Northwestern University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; ELECTROMAGNETIC DISPERSION; NONLINEAR EQUATIONS; NONLINEAR OPTICS; OPTICAL COMMUNICATION; OPTICAL FIBERS;

DISPERSION-MANAGED SOLITONS; NONLINEAR SCHRODINGER EQUATIONS; RADIATION LOSS;

SOLITONS;

EID: 0035254880     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(00)00193-7     Document Type: Article

References (47)

1. G.P. Agrawal, Nonlinear Fiber Optics, 2nd Edition, Academic Press, San Diego, CA, 1995.
2. A. Hasegawa, Y. Kodama, Solitons in Optical Communications, Oxford University Press, Oxford, 1995.
3. Mollenauer L.F., Lichtman E., Neubelt M.J., Harvey G.T. Demonstration, using sliding-frequency guiding filters, of error-free soliton transmission over more than 20 Mm at 10 Gbps, single channel, and over more than 13 Mm at 20 Gbps in a two-channel WDM. Electron. Lett. 29:1993;910-911.
4. L.F. Mollenauer, P.V. Manyshev, M.J. Neubelt, Demonstration of soliton WDM transmission at up to 8×10 Gbps error-free over transoceanic distances, in: Optical Fiber Communication Conference, PD22, Optical Society of America, Washington, DC, 1996.
5. G.P. Agrawal, Fiber-optic Communication Systems, Wiley, New York, 1992.
6. Gabitov I.R., Turitsyn S.K. Averaged pulse dynamics in a cascaded transmission system with passive dispersion compensation. Opt. Lett. 21:1996;327-329.
7. Kurtzke C. Suppression of fiber nonlinearities by appropriate dispersion management. IEEE Photonics Technol. Lett. 5:1993;1250-1253.
8. Nakazawa M., Kubota H. Construction of a dispersion-allocated soliton transmission-line using conventional dispersion-shifted nonsoliton fibers. Jpn. J. Appl. Phys. Lett. 34:1995;L681-L683.
9. Suzuki M., Morita I., Edgawa N., Yamamoto S., Taga H., Akiba S. Reduction of Gordon-Haus timing jitter by periodic dispersion compensation in soliton transmission. Electron. Lett. 31:1995;2027-2029.
10. Tkach R.W., Chraplyvy A.R., Forghieri F., Gnauck A.H., Derosier R.M. Four-photon mixing and high-speed WDM systems. J. Lightwave Technol. 13:1995;841-849.
11. Smith N.J., Doran N.J. Modulational instabilities in fibers with periodic dispersion management. Opt. Lett. 21:1996;570-572.
12. Bronski J.C., Kutz J.N. Modulational stability of plane waves in nonreturn-to-zero communications systems with dispersion management. Opt. Lett. 21:1996;937-939.
13. Gordon J.P., Haus H.A. Random walk of coherently amplified solitons in optical fiber transmission. Opt. Lett. 11:1986;665-667.
14. Forysiak W., Blow K.J., Doran N.J. Reduction of Gordon-Haus jitter by post-transmission dispersion compensation. Electron. Lett. 29:1993;1225-1226.
15. Smith N.J., Knox F.M., Doran N.J., Blow K.J., Bennion I. Enhanced power solitons in optical fibers with periodic dispersion management. Electron. Lett. 32:1996;54-55.
16. Smith N.J., Doran N.J., Knox F.M., Forysiak W. Energy-scaling characteristics of solitons in strongly dispersion-managed solitons. Opt. Lett. 21:1996;1981-1983.
17. Kolltveit E., Hamaide J.-P., Audouin O. Optimal two-step dispersion management in WDM soliton systems. Electron. Lett. 32:1996;1858-1859.
18. Kumar S., Kodama Y., Hasegawa A. Optimal dispersion management schemes for WDM soliton systems. Electron. Lett. 33:1997;459-461.
19. Suzuki M., Morita I., Edagawa N., Yamamoto S., Akiba S. 20 Gbps-based soliton WDM transmission over transoceanic distances using periodic compensation of dispersion and its slope. Electron. Lett. 33:1997;691-692.
20. Kutz J.N., Holmes P., Evangelides S.G. Jr., Gordon J.P. Hamiltonian dynamics of dispersion-managed breathers. J. Opt. Soc. Am. B. 22:1997;372.
21. G. Grasso, P. Franco, A. Zuccala, A. Cavaciuti, M. Macchi, A. Schiffini, L. Bonato, 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, PD19, Optical Society of America, Washington, DC, 1998.
22. Yang T.-S., Kath W.L. Analysis of enhanced-power solitons in dispersion-managed optical fibers. Opt. Lett. 22:1997;985-987.
23. Yang T.-S., Kath W.L., Turitsyn S.K. Optimal dispersion maps for wavelength-division-multiplexed soliton transmission. Opt. Lett. 23:1998;597-599.
24. Georges T., Chabonnier B. Reduction of the dispersive wave in periodically amplified links with initially chirped solitons. IEEE Photonics Technol. Lett. 9:1997;127-129.
25. M.J. Ablowitz, H. Segur, Solitons and the Inverse Scattering Transform, Society for Industrial and Applied Mathematics, Philadelphia, PA, 1981.
26. H. Segur, S. Tanveer, H. Levine (Eds.), Asymptotics Beyond All Orders, Plenum Press, New York, 1991.
27. Akylas T.R., Yang T.-S. On short-scale oscillatory tails of long-wave disturbances. Stud. Appl. Math. 94:1995;1-20.
28. Yang T.-S., Akylas T.R. Radiating solitary waves of a model evolution equation in fluids of finite depth. Physica D. 82:1995;418-425.
29. Yang T.-S., Akylas T.R. Finite-amplitude effects on steady lee-wave patterns in subcritical stratified flow over topography. J. Fluid Mech. 308:1996;147-170.
30. Yang T.-S., Akylas T.R. Weakly non-local gravity-capillary solitary waves. Phys. Fluids. 8:1996;1506-1514.
31. Yang T.-S., Akylas T.R. On asymmetric gravity-capillary solitary waves. J. Fluid Mech. 330:1997;215-232.
32. Yang T.-S. On traveling-wave solutions of the Kuramoto-Sivashinsky equation. Physica D. 110:1997;25-42.
33. Lakoba T. Non-integrability of equations governing pulse propagation in dispersion-managed optical fibers. Phys. Lett. A. 260:1999;68-77.
34. A.C. Newell, Solitons in Mathematics and Physics, Society for Industrial and Applied Mathematics, Philadelphia, PA, 1985.
35. Nijhof J.H.B., Doran N.J., Forysiak W., Knox F.M. Stable soliton-like propagation in dispersion managed systems with net anomalous, zero and normal dispersion. Electron. Lett. 33:1997;1726-1727.
36. Grigoryan V.S., Menyuk C.R. Dispersion-managed solitons at normal average dispersion. Opt. Lett. 23:1998;609-611.
37. Kutz J.N., Evangelides S.G. Dispersion-managed breathers with average normal dispersion. Opt. Lett. 23:1998;685-687.
38. Turitsyn S.K., Shapiro E.G. Dispersion-managed solitons in optical amplifier transmission systems with zero average dispersion. Opt. Lett. 23:1998;682-684.
39. Lakoba T.I., Yang J., Kaup D.J., Malomed B.A. Conditions for stationary pulse propagation in the strong dispersion management regime. Opt. Commun. 149:1998;366-375.
40. Turitsyn S.K., Smyth N.F., Turitsyna E.G. Solitary saves in nonlinear dispersive systems with zero average dispersion. Phys. Rev. E. 58:1998;R44-R47.
41. Turitsyn S.K., Gabitov I., Laedke E.W., Mezentsev V.K., Musher S.L., Shapiro E.G., Spatschek K.H. Variational approach to optical pulse propagation in dispersion compensated transmission systems. Opt. Commun. 151:1998;117-135.
42. Chen Y., Haus H.A. Dispersion-managed solitons with net positive dispersion. Opt. Lett. 23:1998;1013-1015.
43. Y. Kodama, Nonlinear chirped RZ and NRZ pulses in optical transmission lines, in: A. Hasegawa (Ed.), New Trends in Optical Soliton Transmission Systems, Kluwer Academic Publishers, Dordrecht, 1998, 502 pp.
44. T. Georges, F. Favre, Transmission systems based on dispersion managed solitons: theory and experiment, in: A. Hasegawa (Ed.), New Trends in Optical Soliton Transmission Systems, Kluwer Academic Publishers, Dordrecht, 1998, 502 pp.
45. If F., Berg P., Christiansen P.L., Skovgaard O. Split-step spectral method for nonlinear Schrödinger equation with absorbing boundaries. J. Comput. Phys. 72:1987;501-503.
46. Hou T.Y., Lowengrub J.S., Shelley M.J. Removing the stiffness from interfacial flows with surface tension. J. Comput. Phys. 114:1994;312-338.
47. Ablowitz M.J., Biondini G. Multiscale pulse dynamics in communication systems with strong dispersion management. Opt. Lett. 23:1998;1668-1670.