Solitons in regular and random split-step systems

Journal of the Optical Society of America B: Optical Physics

Volumn 20, Issue 11, 2003, Pages 2338-2348

  Driben, Rodislav ^a   Malomed, Boris A ^a   Chu, Pak L ^b  

^a TEL AVIV UNIVERSITY   (Israel)

^b CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; FIBER OPTICS; NONLINEAR EQUATIONS; OSCILLATIONS; PHASE DIAGRAMS; SOLITONS; TELECOMMUNICATION NETWORKS;

RANDOM SYSTEMS; SPLIT-STEP SYSTEMS;

NONLINEAR OPTICS;

EID: 0242577860     PISSN: 07403224     EISSN: None     Source Type: Journal    
DOI: 10.1364/josab.20.002338     Document Type: Article

References (31)

1. 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).
2. A. Berntson, N. J. Doran, W. Forysiak, and J. H. B. Nijhof, "Power dependence of dispersion-managed solitons for anomalous, zero, and normal path-average dispersion," Opt. Lett. 23, 900-902 (1998).
3. I. Gabitov and S. K. Turitsyn, "Averaged pulse dynamics in a cascaded transmission system with passive dispersion compensation," Opt. Lett. 21, 327-329 (1996).
4. M. J. Ablowitz and G. Biondini, "Multiscale pulse dynamics in communication systems with strong dispersion management," Opt. Lett. 23, 1668-1670 (1998).
5. B. A. Malomed, "Variational methods in nonlinear fiber optics and related fields," Prog. Opt. 43, 69-191 (2002).
6. C. Paré and P.-A. Belanger, "Spectral domain analysis of dispersion management without averaging," Opt. Lett. 25, 881-883 (2000).
7. 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).
8. L. Torner, "Walkoff-compensated dispersion-mapped quadratic solitons," IEEE Photon. Technol. Lett. 11, 1268-1270 (1999).
9. L. Torner, S. Carrasco, J.-P. Torres, L.-C. Crasovan, and D. Mihalache, "Tandem light bullets," Opt. Commun. 199, 277-281 (2001).
10. L. Bergé, V. K. Mezentsev, J. Juul Rasmussen, P. L. Christiansen, and Yu. B. Gaididei, "Self-guiding light in layered nonlinear media," Opt. Lett. 25, 1037-1039 (2000).
11. I. Towers and B. A. Malomed, "Stable (2 + 1)-dimensional solitons in a layered medium with sign-alternating Kerr nonlinearity," J. Opt. Soc. Am. B 19, 537-543 (2002).
12. F. Kh. Abdullaev, J. G. Caputo, R. A. Kraenkel, and B. A. Malomed, "Controlling collapse in Bose-Einstein condensates by temporal modulation of the scattering length," Phys. Rev. A 67, 013605 (2003).
13. A. Kaplan, B. V. Gisin, and B. A. Malomed, "Stable propagation and all-optical switching in planar waveguide-antiwaveguide periodic structures," J. Opt. Soc. Am. B 19, 522-528 (2002).
14. R. Driben and B. A. Malomed, "Split-step solitons in long fiber links," Opt. Commun. 185, 439-456 (2000).
15. A. C. Newell and J. V. Moloney, Nonlinear Optics (Addison-Wesley, Redwood City, Calif., 1992).
16. S. V. Chernikov, J. R. Taylor, and R. Kashyap, "Comblike dispersion-profiled fiber for soliton pulse train generation," Opt. Lett. 19, 539-541 (1994).
17. H. Toda, Y. Furukawa, T. Kinoshita, Y. Kodama, and A. Hasegawa, "Optical soliton transmission experiment in a comb-like dispersion profiled fiber loop," IEEE Photon. Technol. Lett. 9, 1415-1417 (1997).
18. H. Toda, Y. Inada, Y. Kodama, and A. Hasegawa, "10 Gbit/s optical soliton transmission experiment in a comb-like dispersion profiled fiber loop," IEICE Trans. Commun. E82-B, 1541-1543 (1999).
19. M. Gutin, U. Mahlab, and B. A. Malomed, "Shaping NRZ pulses and suppression of the inter-symbol interference by a second-harmonic-generating module," Opt. Commun. 200, 401-414 (2001).
20. R. Driben, B. A. Malomed, M. Gutin, and U. Mahlab, "Implementation of nonlinearity management for Gaussian pulses in a fiber-optic link by means of second-harmonic-generating modules," Opt. Commun. 218, 93-104 (2003).
21. R. Driben and B. A. Malomed, "Suppression of crosstalk between solitons in a multi-channel split-step system," Opt. Commun. 197, 481-489 (2001).
22. B. A. Malomed and A. Berntson, "Propagation of an optical pulse in a fiber link with random dispersion management," J. Opt. Soc. Am. B 18, 1243-1251 (2001).
23. V. V. Konotop and L. Vázquez, Nonlinear Random Waves (World Scientific: Singapore, 1994).
24. F. Kh. Abdullaev and B. B. Baizakov, "Disintegration of a soliton in a dispersion-managed optical communication line with random parameters, " Opt. Lett. 25, 93-95 (2000).
25. J. Garnier, "Stabilization of dispersion-managed solitons in random optical fibers by strong dispersion management," Opt. Commun. 206, 411-438 (2002).
26. G. P. Agrawal, Nonlinear Fiber Optics (Academic San Diego, Calif., 1995).
27. J. Satsuma and N. Yajima, "Initial value problem for one-dimensional self modulation of nonlinear waves in dispersive media," Prog. Theor. Phys. Suppl. 55, 284 (1974).
28. D. Anderson, M. Lisak, and T. Reichel, "Asymptotic propagation properties of pulses in a soliton-based optical-fiber communication system," J. Opt. Soc. Am. B 5, 207-210 (1988).
29. R. Driben and B. A. Malomed, "Equilibrium and nonequilibrium solitons in a lossy split-step system with lumped amplification," Phys. Lett. A 301, 19-26 (2002).
30. J. Atai and B. A. Malomed, "Solitary waves in systems with separated Bragg grating and nonlinearity," Phys. Rev. E 64, 066617 (2001).
31. J. Atai and B. A. Malomed, "Spatial solitons in a medium composed of self-focusing and self-defocusing layers," Phys. Lett. A 298, 140-148 (2002).