Stability of pulses in the master mode-locking equation

Journal of the Optical Society of America B: Optical Physics

Volumn 19, Issue 4, 2002, Pages 740-746

  Kapitula, Todd ^a   Kutz, J Nathan ^b   Sandstede, Björn ^c  

^a UNIVERSITY OF NEW MEXICO   (United States)

^b UNIVERSITY OF WASHINGTON   (United States)

^c OHIO STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BANDWIDTH; INTERFEROMETRY; LASER MODE LOCKING;

GAIN SATURATION;

SOLID STATE LASERS;

EID: 0042498858     PISSN: 07403224     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAB.19.000740     Document Type: Conference Paper

References (23)

1. H. A. Haus, J. G. Fujimoto, and E. P. Ippen, "Structures for additive pulse mode locking," J. Opt. Soc. Am. B 8, 2068-2076 (1991).
2. H. A. Haus, J. G. Fujimoto, and E. P. Ippen, "Analytic theory of additive pulse modelocking and Kerr lens modelocking," IEEE J. Quantum Electron. 28, 2086-2096 (1992).
3. C.-J. Chen, P. K. A. Wai, and C. R. Menyuk, "Soliton fiber ring laser," Opt. Lett. 17, 417-419 (1992).
4. K. Tamura, H. A. Haus, and E. P. Ippen, "Self-starting additive pulse modelocked erbium fiber ring laser," Electron. Lett. 28, 2226-2228 (1992).
5. H. A. Haus, E. P. Ippen, and K. Tamura, "Additive-pulse modelocking in fiber lasers," IEEE J. Quantum Electron. 30, 200-208 (1994).
6. M. E. Fermann, M. J. Andrejco, Y. Silverberg, and M. L. Stock, "Passive mode locking by using nonlinear polarization evolution in a polarizing-maintaining erbium-doped fiber laser," Opt. Lett. 29, 447-449 (1993).
7. I. N. Duling III, "Subpicosecond all-fiber erbium laser," Electron. Lett. 27, 544-545 (1991).
8. D. J. Richardson, R. I. Laming, D. N. Payne, V. J. Matsas, and M. W. Phillips, "Self-starting, passively modelocked erbium fiber laser based on the amplifying Sagnac switch," Electron. Lett. 27, 542-544 (1991).
9. M. L. Dennis and I. N. Duling III, "High repetition rate figure eight laser with extra-cavity feedback," Electron. Lett. 28, 1894-1896 (1992).
10. J. W. Haus, G. Shaulov, E. A. Kuzin, and J. Sánchez-Mondragón, "Vector soliton fiber lasers," Opt. Lett. 24, 376-378 (1999).
11. F. X. Kartner and U. Keller, "Stabilization of solitonlike pulses with a slow saturable absorber," Opt. Lett. 20, 16-18 (1995).
12. J. N. Kutz, B. C. Collings, K. Bergman, S. Tsuda, S. Cundiff, W. H. Knox, P. Holmes, and M. Weinstein, "Mode-locking pulse dynamics in a fiber laser with a saturable Bragg reflector," J. Opt. Soc. Am. B 14, 2681-2690 (1997).
13. S. Tsuda, W. H. Knox, E. A. DeSouza, W. J. Jan, and J. E. Cunningham, "Low-loss intracavity AlAs/AlGaAs saturable Bragg reflector for femtosecond mode locking in solid-state lasers," Opt. Lett. 20, 1406-1408 (1995).
14. I. P. Christov, H. C. Kapteyn, M. M. Murnane, C. P. Huang, and J. P. Zhou, "Space-time focusing of femtosecond pulses in Ti:sapphire," Opt. Lett. 20, 309-311 (1995).
15. I. P. Christov, V. Stoev, M. Murnane, and H. Kapteyn, "Sub-10-fs operation of Kerr-lens mode-locked lasers," Opt. Lett. 21, 1493-1495 (1996).
16. I. P. Christov, M. M. Murnane, H. C. Kapteyn, J. P. Zhou, and C. P. Huang, "Fourth-order dispersion-limited solitary pulses," Opt. Lett. 19, 1465-1466 (1994).
17. N. R. Pereira and L. Stenflo, "Nonlinear Schrödinger equation including growth and damping," Phys. Fluids 20, 1733-1734 (1977).
18. A. Mielke, P. Holmes, and J. N. Kutz, "Global existence and uniqueness for an optical fibre laser model," Nonlinearity 11, 1489-1504 (1998).
19. D. J. Kaup, "Perturbation theory for solitons in optical fibers," Phys. Rev. A 42, 5689-5694 (1990).
20. T. Kapitula and B. Sandstede, "Instability mechanism for bright solitary-wave solutions to the cubic-quintic Ginzburg-Landau equation," J. Opt. Soc. Am. B 15, 2757-2762 (1998).
21. T. Kapitula and B. Sandstede, "Stability of bright solitary-wave solutions to perturbed nonlinear Schrödinger equations," Physica D 124, 58-103 (1998).
22. D. Pelinovsky, Y. Kivshar, and V. Afanasjev, "Internal modes of envelope solitons," Physica D 116, 121-142 (1998).
23. B. Sandstede and A. Scheel, "Essential instability of pulses, and bifurcations to modulated travelling waves," Proc. R. Soc. Edinburgh, Sect. A129, 1263-1290 (1999).