Asymptotic analysis of pulse dynamics in mode-locked lasers

Studies in Applied Mathematics

Volumn 122, Issue 4, 2009, Pages 411-425

  Ablowitz, Mark J ^a   Horikis, Theodoros P ^b   Nixon, Sean D ^b   Zhu, Yi ^b  

^a UNIVERSITY OF COLORADO   (United States)

^b NONE

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC ANALYSIS; INTEGRAL EQUATIONS; LOCKS (FASTENERS); NONLINEAR EQUATIONS; PERTURBATION TECHNIQUES;

ADIABATIC PERTURBATIONS; ANOMALOUS REGIMES; EVOLUTION EQUATIONS; INTEGRAL RELATIONS; MODELOCKED LASERS; PERTURBATION THEORY; POWER ENERGY; PULSE DYNAMICS; SATURATION EQUATIONS; SOLITON PULSE;

SOLITONS;

EID: 65449185396     PISSN: 00222526     EISSN: 14679590     Source Type: Journal    
DOI: 10.1111/j.1467-9590.2009.00441.x     Document Type: Article

References (17)

1. H. A. Haus, Mode-locking of lasers, IEEE J. Sel. Topics Quantum Electron. 6 : 1173 1185 (2000).
2. J. Ye and S. T. Cundiff, Femtosecond Optical Frequency Comb Technology: Principles, Operation & Application, Springer-Verlag, Berlin, 2005.
3. T. Plettner, S. Sinha, J. Wisdom, and E. Colby, Optical phase locking of ML lasers for particle accelerators, in Proceedings of the Particle Accelerator Conference, 16-20 May, Knoxville, Tennesse, pp. 1389 1391, 2005.
4. W. E. Lamb Jr., Theory of an optical laser, Phys. Rev. 134 : A1429 Al450 (1964).
5. N. N. Akhmediev and A. Ankiewicz, Solitons, Nonlinear Pulses and Beams, Chapman & Hall, London, U.K., 1997.
6. N. Akhmediev, J. M. Soto-Crespo, and G. Town, Pulsating solitons, chaotic solitons, period doubling, and pulse coexistence in mode-locked lasers: Complex Ginzburg-Landau equation approach, Phys. Rev. E 63 : 056602-1 056602-13 (2001).
7. H. A. Haus, Theory of mode locking with a fast saturable absorber, J. Appl. Phys. 46 : 3049 3058 (1975).
8. H. A. Haus, J. G. Fujimoto, and E. P. Ippen, Analytic theory of additive pulse and Kerr-lens mode locking, IEEE J. Quantum Electron. 28 : 2086 2096 (1992).
9. M. J. Ablowitz and T. P. Horikis, Pulse dynamics and solitons in mode-locked lasers, Phys. Rev. A (Rapid Communication) 78 : 011802-1 011802-4 (2008).
10. S. T. Cundiff and J. Ye Colloquium, Femtosecond optical frequency combs, Rev. Mod. Phys. 75 : 325 342 (2003).
11. J. Yang, Interactions of vector solitons, Phys. Rev. E 64 : 026607-1 026607-16 (2001).
12. J. Yang and D. Kaup, Stability and evolution of solitary waves in perturbed generalized nonlinear Schrödinger equations, SIAM J. Appl. Math. 60 : 967 989 (2000).
13. M. J. Ablowitz, T. P. Horikis, and B. Ilan, Solitons in dispersion-managed mode-locked lasers, Phys. Rev. A 77 : 033814-1 033814-5 (2008).
14. V. I. Karpman and V. V. Solov'ev, A perturbation theory for soliton systems, Physica D 3 : 142 164 (1981).
15. Y. Zhu and J. Yang, Universal fractal strcutures in the weak interaction of solitary waves in generalized nonlinear Schrödinger equations, Phys. Rev. E 75 : 036605-1 036605-20 (2007). (Pubitemid 46410987)
16. D. Y. Tang, W. S. Man, H. Y. Tam, and P. D. Drummond, Observation of bound states of solitons in a passively mode-locked fiber laser, Phys. Rev. A 64 : 033814-1 033814-3 (2001).
17. M. J. Ablowitz and T. P. Horikis, Soliton pulses in normally dispersive mode-locked lasers, Submitted for Publication.