Nonlinear dynamics of a passively mode-locked fiber laser containing a long-period fiber grating

IEEE Journal of Quantum Electronics

Volumn 44, Issue 3, 2008, Pages 254-261

  Karar, Abdullah S ^a   Smy, Tom ^a   Steele, Alan L ^a  

^a CARLETON UNIVERSITY   (Canada)

Author keywords

Autosoliton; Bifurcations; Chaos; Coexisting attractors; Passive mode locking

Indexed keywords

CHAOS THEORY; FIBER BRAGG GRATINGS; FIBER LASERS; LASER RESONATORS; SOLITONS;

AUTOSOLITON; COEXISTING ATTRACTORS; PASSIVE MODE-LOCKING;

LASER MODE LOCKING;

EID: 40449105835     PISSN: 00189197     EISSN: None     Source Type: Journal    
DOI: 10.1109/JQE.2007.912458     Document Type: Article

References (31)

1. W. Kaiser, Ultrashort Laser Pulses: Generation and Applications, 2nd ed. Berlin, Germany: Springer-Verlag, 1993.
2. R. Hergenroder, O. Samek, and V. Hommes, "Femtosecond laser ablation elemental mass spectrometry," Mass Spectrom. Rev., vol. 25, pp. 551-572, 2006.
3. H. A. Haus, "Mode-locking of lasers," IEEE J. Sel. Topics Quantum Electron., vol. 6, no. 6, pp. 1173-1185, Nov./Dec. 2000.
4. I. N. Duling, Compact Sources of Ultrashort Pulses. Cambridge, U.K.: Cambridge Univ. Press, 1995.
5. K. Ikeda, "Multiple-valued stationary state and its instability of the transmitted light by a ring cavity system," Opt. Commun., vol. 137, pp. 136-142, 1997.
6. J. M. Soto-Crespo, M. Grapinet, P. Grelu, and N. Akhmediev, "Bifurcation and multiple-period soliton pulsation in a passively mode-locked fiber laser," Phys. Rev. E., vol. 70, 2004, 066612.
7. L. M. Zhao, D. Y. Tang, and A. Q. Liu, "Chaotic dynamics of a passively mode-locked soliton fiber ring laser," Chaos, vol. 16, 2006, 013128.
8. K. Tamura, C. R. Doerr, H. A. Haus, and E. P. Ippen, "Soliton fiber ring laser stabilization and tuning with a broad interactivity filter," IEEE Photon. Technol. Lett., vol. 6, no. 6, pp. 697-699, Jun. 1994.
9. N. Akhmediev, A. Ankiewicz, and J. M. Soto-Cresp, "Multisoliton solutions of the complex Ginzburg-Landau equation," Phys. Rev. Lett. vol. 79, pp. 4047-4051, 1997.
10. A. B. Grudinn, D. J. Richardson, and D. N. Payne, "Energy quantization in figure eight fiber laser," Electron. Lett., vol. 28, pp. 67-68, 1992.
11. D. Y. Tang, L. M. Zhao, B. Zhao, and A. Q. Liu, "Mechanism of multisoliton formation and soliton energy quantization in passively mode-locked fiber lasers," Phys. Rev. A., vol. 72, 2005, 043816.
12. W. Szemplinacuteska-Stupnicka, A. Zubrzycki, and E. Tyrkiel, "Properties of chaotic and regular boundary crisis in dissipative driven non-linear oscillators," Nonlinear Dynamics, vol. 19, pp. 19-36, 1999.
13. 2 laser with modulated losses," J. Opt. B : Quantum Semiclass. Opt., vol. 2, no. 6, pp. 711-717, 2000.
14. J. M. Saucedo-Solorio, A. N. Pisarchik, A. V. Kir'yanov, and V. Aboite, "Generalized multistability in a fiber laser with modulated losses," J. Opt. Soc. Amer. B., vol. 20, pp. 490-496, 2003.
15. A. N. Pisarchik, Y. O. Barmenkov, and A. V. Kiryano, "Experimental characterization of the bifurcation structure in an erbium-doped fiber laser with pump modulation," IEEE J. Quantum Electron., vol. 39, no. 12, pp. 1567-1571, Dec. 2003.
16. L. Luo, T. J. Tee, and P. L. Chu, "Chaotic behavior in erbium-doped fiber-ring laser," J. Opt. Soc. Amer. B., vol. 15, pp. 972-978, 1998.
17. K. Intrachat and J. N. Kutz, "Theory and simulation of passive mode-locking dynamics using a long-period fiber grating," IEEE J. Quantum Electron., vol. 39, no. 12, pp. 1572-1578, Dec. 2003.
18. G. P. Agrawal, Nonlinear Fiber Optics. New York: Academic, 2001.
19. K. Okamoto, Fundamentals of Optical Waveguides. SanDiego:ACademic, 2000.
20. S. M. Jensen, "The nonlinear coherent coupler," IEEE J. Quantum Electron., vol. QE-18, no. 10, pp. 1580-1583, Oct. 1982.
21. J. N. Kutz, B. Eggleton, J. Stark, and R. Slusher, "Nonlinear pulse propagation in long-period fiber gratings: Theory and experiment," IEEE J. Sel. Topics Quantum Electron., vol. 3, no. 5, pp. 1232-1245, Oct. 1997.
22. L. Rindorf, J. B. Jensen, M. Dufva, L. H. Pedersen, P. E. Hoiby, and O. Bang, "Photonic crystal fiber long-period grating for biochemical sensing," Opt. Exp., vol. 14, pp. 8224-8231, 2006.
23. A. Zhang, H. Liu, M. S. Demokan, and H. Y. Tam, "Stable and broad bandwidth multiwavelength fiber ring laser incoporating a highly non-linear photonic crystal fiber," IEEE Photon. Technol. Lett., vol. 17, no. 12, pp. 2535-2537, Dec. 2005.
24. Q. Chang, E. Jia, and W. Suny, "Difference schemes for solving the generalized nonlinear Schrödinger equation," J. Comp. Phys., vol. 148, pp. 397-415, 1999.
25. V. S. Grigoryan and T. S. Muradyan, "Evolution of light pulses into autosolitons in nonlinear amplifying media," J. Opt. Soc. Amer. B. vol. 8, pp. 1757-1765, 1991.
26. N. G. Usechak, G. P. Agrawal, and J. D. Zuege, "FM mode-locked fiber lasers operating in the autosoliton regime," IEEE J. Quantum Electron., vol. 41, pp. 753-761, 2005.
27. A. Gordon, O. Gat, B. Fisher, and F. X. Kartner, "Self-starting of passive mode locking," Opt. Exp., vol. 14, pp. 11142-11154, 2006.
28. E. Desurvire, Erbium-Doped Fiber Amplifiers: Principles and Applications. New York: Wiley-Interscience, 2002.
29. R. C. Hilborn, Chaos and Nonlinear Dynamics, 2nd ed. New York: Oxford Univ. Press, 2001.
30. A. L. Steele, S. Lynch, and J. E. Hoad, "Stability analysis of nonlinear optical resonators," Chaos, Solitons Fractals, vol. 9, pp. 935-946, 1998.
31. B. E. Martinez-Zerega, A. N. Pisarchik, and L. S. Tsimring, "Using periodic modulation to control coexisting attractors induced by delayed feedback," Phys. Lett. A., vol. 318, pp. 102-111, 2003.