Pulsating solitons, chaotic solitons, period doubling, and pulse coexistence in mode-locked lasers: Complex Ginzburg-Landau equation approach

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 63, Issue 5, 2001, Pages

  Akhmediev, N ^a   Soto Crespo, J M ^b   Town, G ^c  

^a AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

^b INSTITUTO DE ÓPTICA   (Spain)

^c UNIVERSITY OF SYDNEY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); CHAOS THEORY; LASER MODE LOCKING; MATHEMATICAL MODELS; SOLITONS;

COMPLEX GINZBURG-LANDAU EQUATIONS (CGLE);

LASERS;

EID: 0035334501     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.63.056602     Document Type: Article

References (42)

1. L.F. Mollenauer and R.H. Stolen, Opt. Lett. 9, 13 (1984).
2. H.A. Haus and M.N. Islam, IEEE J. Quantum Electron. QE-21, 1172 (1985).
3. S.M.J. Kelly, Opt. Commun. 70, 495 (1989).
4. F.X. Kärtner, I.D. Jung, and U. Keller, IEEE J. Sel. Top. Quantum Electron. 2, 540 (1996).
5. G. Carpintero and H. Lamela, J. Appl. Phys. 82, 2766 (1997).
6. D. Coté and H.M. van Driel, Opt. Lett. 23, 715 (1998).
7. G. Sucha, S.R. Bolton, S. Weiss, and D.S. Chemla, Opt. Lett. 20, 1795 (1995).
8. G. Sucha, D.S. Chemla, and S.R. Bolton, J. Opt. Soc. Am. B 15, 2847 (1998).
9. Liguo Luo, T.J. Tee, and P.L. Chu, J. Opt. Soc. Am. B 15, 972 (1998).
10. S. Coen, M. Haelterman, Ph. Emplit, L. Delage, L.M. Simohamed, and F. Reynaud, J. Opt. Soc. Am. B 15, 2283 (1998).
11. M. Haelterman, Appl. Phys. Lett. 61, 2756 (1992).
12. J. Boyce and R.Y. Chiao, Phys. Rev. A 59, 3953 (1999).
13. V.N. Chizhevsky and R. Corbalán, Phys. Rev. E 53, 1830 (1996).
14. M.J. Feigenbaum, J. Stat. Phys. 19, 25 (1978).
15. Y.H. Kao and H.T. Lin, Phys. Rev. A 48, 2292 (1993).
16. A.N. Pisarchik and R. Corbalán, Phys. Rev. E 59, 1669 (1999).
17. B. Thédrez, J.G. Provost, and R. Frey, Opt. Lett. 14, 958 (1989).
18. N. Piovella, P. Chaix, G. Shvets, and D.A. Jaroszynski, Phys. Rev. E 52, 5470 (1995).
19. S. Colin, E. Contesse, P. Le Boudec, G. Stephan, and F. Sanchez, Opt. Lett. 21, 1987 (1996).
20. H. Haus, J. Appl. Phys. 46, 3049 (1975).
21. P.A. Belanger, J. Opt. Soc. Am. B 8, 2077 (1991).
22. J.D. Moores, Opt. Commun. 96, 65 (1993).
23. A.I. Chernykh and S.K. Turitsyn, Opt. Lett. 20, 398 (1995).
24. D. Artigas, L. Torner, and N. N. Akhmediev, Opt. Commun. 143, 322 (1997).
25. J. Satsuma and N. Yajima, Prog. Theor. Phys. Suppl. 55, 284 (1974).
26. R.J. Deissler and H.R. Brand, Phys. Rev. Lett. 72, 478 (1994).
27. P.-S. Jian, W.E. Torruellas, M. Haelterman, S. Trillo, U. Peschel, and F. Lederer, Opt. Lett. 24, 400 (1999).
28. C.O. Weiss, Phys. Rep. 219, 311 (1992).
29. A.M. Dunlop, E.M. Wright, and W.J. Firth, Opt. Commun. 147, 393 (1998).
30. V.B. Taranenko, K. Staliunas, and C.O. Weiss, Phys. Rev. A 56, 1582 (1997).
31. W.J. Firth and A.J. Scroggie, Phys. Rev. Lett. 76, 1623 (1996).
32. N. N. Rozanov, Optical Bistability and Hysteresis in Distributed Nonlinear Systems (Physical and Mathematical Literature Publishing Company, Moscow, 1997).
33. P.K. Jakobsen, J.V. Moloney, A.C. Newell, and R. Indik, Phys. Rev. A 45, 8129 (1992).
34. N. N. Akhmediev and A. Ankiewicz, Solitons: Nonlinear Pulses and Beams (Chapman and Hall, London, 1997).
35. M. J. Ablowitz and P. A. Clarkson, Solitons, Nonlinear Evolution Equations and Inverse Scattering, London Mathematical Society Lecture Notes Series Vol. 149 (Cambridge University Press, Cambridge, 1991).
36. J.M. Soto-Crespo, N.N. Akhmediev, and V.V. Afanasjev, J. Opt. Soc. Am. B 13, 1439 (1996).
37. V.V. Afanasjev, N.N. Akhmediev, and J.M. Soto-Crespo, Phys. Rev. E 53, 1931 (1996).
38. N.N. Akhmediev, V.V. Afanasjev, and J.M. Soto-Crespo, Phys. Rev. E 53, 1190 (1996).
39. N. N. Akhmediev and J. M. Soto-Crespo, in Proceedings of SPIE (International Society for Optical Engineering, Bellingham, WA, 1999), Vol. 3666, pp. 307–316.
40. J. M. Soto-Crespo, N. N. Akhmediev, and A. Ankiewicz, Phys. Rev. Lett. (to be published).
41. V. Hakim, P. Jakobsen, and Y. Pomeau, Europhys. Lett. 11, 19 (1990).
42. A. Torcini, H. Frauenkron, and P. Grassberger, Phys. Rev. E 55, 5073 (1997).