Stable operating region in a harmonically actively mode-locked fiber laser

IEEE Journal of Quantum Electronics

Volumn 41, Issue 11, 2005, Pages 1380-1387

  Zeitouny, Avi ^a   Parkhomenko, Yurij N ^a   Horowitz, Moshe ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

Optical fiber lasers; Pertubation methods

Indexed keywords

COMPUTER SIMULATION; LASER MODE LOCKING; LIGHT PROPAGATION; MATHEMATICAL MODELS; OPTICAL FIBERS; PERTURBATION TECHNIQUES; SOLITONS;

ACCIDENTAL PULSE DROPOUT; HARMONICALLY ACTIVELY MODE-LOCKED FIBER LASER; SOLITON PERTURBATION THEORY;

FIBER LASERS;

EID: 27744450476     PISSN: 00189197     EISSN: None     Source Type: Journal    
DOI: 10.1109/JQE.2005.857054     Document Type: Article

References (27)

1. J. P. Gordon and H. A. Haus, "Random walk of coherently amplified solitons in optical fiber transmission," Opt. Lett., vol. 11, no. 10, pp. 665-667, 1986.
2. H. A. Haus, "A theory of forced mode locking," IEEE J. Quantum Electron., vol. QE-11, no. 7, pp. 323-330, Jul. 1975.
3. O. E. Martinez, R. L. Fork, and J. P. Gordon, "Theory of passively mode-locked lasers for the case of a nonlinear complex-propagation coefficient," J. Opt. Soc. Amer. B, vol. 2, no. 5, pp. 753-760, 1985.
4. H. A. Hans, W. S. Wong, and F. I. Khatri, "Continuum generation by perturbation of soliton," J. Opt. Soc. Amer. B, vol. 14, no. 2, pp. 304-313, 1997.
5. J. P. Gordon, "Dispersive perturbations of solitons of the nonlinear Schroedinger equation," J. Opt. Soc. Amer. B, vol. 9, no. 1, pp. 91-97, 1992.
6. H. A. Haus and A. Mecozzi, "Noise of mode-locked lasers," IEEE J. Quantum Electron., vol. 29, no. 3, pp. 983-995, Mar. 1993.
7. D. J. Kaup, "Perturbation theory for solitons in optical fibers," Phys.Rev. A, vol. 42, no. 9, pp. 5689-5694, 1990.
8. F. X. Kaertner, D. Kopf, and U. Keller, "Solitary-pulse stabilization and shortening in actively mode-locked lasers," Phys. Rev. A, vol. 12, no. 3, pp.486-496, 1995.
9. S. Namiki and, H. Haus, "Noise of the stretched pulse fiber laser: part I - theory," IEEE J. Quantum Elect., vol. 33, no. 5, pp. 660-668, May 1997.
10. M. Horowitz, C. R. Menyuk, T. F. Carruthers, and I. N. Duling III, "Theoretical and experimental study of harmonically modelocked fiber lasers for optical communication systems," J. Lightw. Techol., vol. 18, no. 11, pp. 1565-1574, Nov. 2000.
11. D. J. Kuizenga and A. E. Siegman, "FM and AM mode locking of the homogeneous laser - part I: theory," IEEE J. Quantum Electron., vol. QE-6, no. 11, pp. 694-708, Nov. 1970.
12. A. Takada and H. Miyzawa, "30 GHz picosecond pulse generation from actively mode-locked erbium-doped fiber laser," Electron. Lett., vol. 26, no. 3, pp. 216-217, 1990.
13. A. D. Ellis, R. J. Manning, I. D. Phillips, and D. Nesset, "1.6 ps pulse generation at 40 GHz in phaselocked ring laser incorporating highly non-linear fiber for application to 160 Gbit/s OTDM networks," Electron. Lett., vol. 35, no. 8, pp. 645-646, 1999.
14. H. Haus and A. Mecozzi, "Long term storage of a bit stream of solitons," Opt. Lett., vol. 17, no. 21, pp. 1500-1502, 1992.
15. M. E. Grain, H. A. Haus, Y. Chen, and E. P. Ippen, "Quantum-limited timing jitter in actively modelocked lasers," IEEE. J. Quantum Electron., vol. 40, no. 10, pp. 1458-1470, Opt. 2004.
16. W. Kaplan, Ordinary Differential Equations. Reading, MA: Addison-Wesley, 1958.
17. M. S. Miguel and R. Toral, Instabilities and Non-Equilibrium Structures, IV, E. Tirapegui, J. Martinez, and R. Tiemann, Eds. Norwell, MA: Kluwer, 2000.
18. A. Jannussis, G. Brodimas, S. Baskoutas, and A. Leodaris, "Non-hermitian harmonic oscillator with descrete complex or real spectrum for nonunitary squeeze operators," J. Phys. A: Math. Gen., vol. 36, pp. 2507-2516, 2003.
19. A. Kostenbauder, Y. Sun, and A. E. Siegman, "Eigenmode expansions using biorthogonal functions: complex-valused hermite-gaussians," J. Opt. Soc. Amer. A, vol. 14, no. 8, pp. 1780-1790, 1997.
20. C. H. Chen and C.-D. Lien, "The variational principle for nonself-adjoint electromagnetic problems," IEEE Trans. Microw. Theory Tech., vol. MTT-28, no. 8, pp. 878-886, Aug. 1980.
21. C. Cohen-Tannoudji, B. Diu, and F. Laloe, Quantum Mechanics. New York: Wiley, 1977.
22. T. F. Carruthers and I. N. Duling III, "10-GHz 1.3-ps erbium fiber laser employing soliton pulse shortening," Opt. Lett., vol. 21. no. 23, pp. 1927-1929, 1996.
23. M. Horowitz and C. R. Menyuk, "Analysis of pulse dropout in harmorically mode-locked fiber lasers by use of the lyapunov methods," Opt. Lett., vol. 25, no. 1, pp. 40-42, 2000.
24. M. Horowitz, C. R. Menyuk, and S. Keren, "Modeling the saturation induced by broad-band pulses amplified in an erbium-doped fiber amplifier," IEEE Photon. Technol. Lett., vol. 11, no. 10, pp. 1235-1237, Oct. 1999.
25. T. Georges, "Perturbation theory for the assessment of soliton transmission control," Opt. Fib. Technol., vol. 1, no. 2, pp. 97-116, 1994.
26. D. J. Jones, H. A. Haus, and E. P. Ippen, "Subpicosecond solitons in an actively mode-locked fiber laser," Opt. Lett., vol. 21, no. 22, pp. 1818-1820, 1996.
27. M. E. Grein, L. A. Jiang, Y. Chen, H. A. Haus, and E. P Ippen, "Timing restoration in an actively mode-locked fiber ring laser," Opt. Lett., vol. 24, no. 23, pp. 1687-1689, 1999.