Gaussian pulse dynamics in gain media with Kerr nonlinearity

Journal of the Optical Society of America B: Optical Physics

Volumn 23, Issue 9, 2006, Pages 1776-1784

  Jirauschek, Christian ^a   Kärtner, Franz X ^a  

^a USA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL EQUATIONS; EQUATIONS OF MOTION; GAUSSIAN NOISE (ELECTRONIC); LIGHT PROPAGATION; MATRIX ALGEBRA; NUMERICAL METHODS; PHASE MODULATION;

ABCD MATRICES; KANTOROVITCH METHOD; KERR NONLINEARITY;

LASER MODE LOCKING;

EID: 33749600904     PISSN: 07403224     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAB.23.001776     Document Type: Article

References (26)

1. M. Manousakis, S. Droulias, P. Papagiannis, and K. Hizanidis, "Propagation of chirped solitary pulses in optical transmission lines: perturbed variational approach," Opt. Commun. 213, 293-299 (2002).
2. I. P. Christov and V. D. Stoev, "Kerr-lens mode-locked laser model: role of space-time effects," J. Opt. Soc. Am. B 15, 1960-1966 (1998).
3. V. P. Kalosha, M. Müller, J. Herrmann, and S. Gatz, "Spatiotemporal model of femtosecond pulse generation in Kerr-lens mode-locked solid-state lasers," J. Opt. Soc. Am. B 15, 535-550 (1998).
4. C. Jirauschek, F. X. Kärtner, and U. Morgner, "Spatiotemporal Gaussian pulse dynamics in Kerr-lens mode-locked lasers," J. Opt. Soc. Am. B 20, 1356-1368 (2003).
5. D. Anderson and M. Bonnedal, "Variational approach to nonlinear self-focusing of Gaussian laser beams," Phys. Fluids 22, 105-109 (1979).
6. D. Anderson, M. Bonnedal, and M. Lisak, "Self-trapped cylindrical laser beams," Phys. Fluids 22, 1838-1840 (1979).
7. D. Anderson, "Variational approach to nonlinear pulse propagation in optical fibers," Phys. Rev. A 27, 3135-3145 (1983).
8. M. Desaix, D. Anderson, and M. Lisak, "Variational approach to collapse of optical pulses," J. Opt. Soc. Am. B 8, 2082-2086 (1991).
9. C. Jirauschek, U. Morgner, and F. X. Kärtner, "Variational analysis of spatio-temporal pulse dynamics in dispersive Kerr media," J. Opt. Soc. Am. B 19, 1716-1721 (2002).
10. D. J. Kaup and B. A. Malomed, "The variational principle for nonlinear waves in dissipative systems," Physica D 87, 155-159 (1995).
11. F. Riewe, "Nonconservative Lagrangian and Hamiltonian mechanics," Phys. Rev. E 53, 1890-1899 (1996).
12. S. C. Cerda, S. B. Cavalcanti, and J. M. Hickmann, "A variational approach of nonlinear dissipative pulse propagation," Eur. Phys. J. D 1, 313-316 (1998).
13. D. Anderson, F. Cattani, and M. Lisak, "On the Pereira-Stenflo solitons," Phys. Ser. T82, 32-35 (1999).
14. N. Aközbek, C. M. Bowden, A. Talebpour, and S. L. Chin, "Femtosecond pulse propagation in air: variational analysis," Phys. Rev. E 61, 4540-4549 (2000).
15. A. E. Siegman, Lasers (University Science, 1986).
16. S. P. Dijaili, A. Dienes, and J. S. Smith, "ABCD matrices for dispersive pulse propagation," IEEE J. Quantum Electron. 26, 1158-1164 (1990).
17. Y. Chen and H. A. Haus, "Dispersion-managed solitons in the net positive dispersion regime," J. Opt. Soc. Am. B 16, 24-30 (1999).
18. Y. Chen, F. X. Kärtner, U. Morgner, S. H. Cho, H. A. Haus, E. P. Ippen, and J. G. Fujimoto, "Dispersion-managed mode locking," J. Opt. Soc. Am. B 16, 1999-2004 (1999).
19. A. Penzkofer, M. Wittmann, M. Lorenz, E. Siegert, and S. MacNamara, "Kerr lens effects in a folded-cavity four-mirror linear resonator," Opt. Quantum Electron. 28, 423-442(1996).
20. V. Magni, G. Cerullo, and S. De Silvestri, "ABCD matrix analysis of propagation of Gaussian beams through Kerr media," Opt. Commun. 96, 348-355 (1993).
21. M. A. Larotonda and A. A. Hnilo, "Short laser pulse parameters in a nonlinear medium: different approximations of the ray-pulse matrix," Opt. Commun. 183, 207-213 (2000).
22. A. G. Kostenbauder, "Ray-pulse matrices: a rational treatment for dispersive optical systems," IEEE J. Quantum Electron. 26, 1148-1157 (1990).
23. J. L. A. Chilla and O. E. Martínez, "Spatial-temporal analysis of the self-mode-locked Ti:sapphire laser," J. Opt. Soc. Am. B 10, 638-643 (1993).
24. M. Nakazawa, H. Kubota, A. Sahara, and K. Tamura, "Time-domain ABCD matrix formalism for laser modelocking and optical pulse transmission," IEEE J. Quantum Electron. 34, 1075-1081 (1998).
25. B. H. Kolner and M. Nazarathy, "Temporal imaging with a time lens," Opt. Lett. 14, 630-632 (1989).
26. E. J. Grace, G. H. C. New, and P. M. W. French, "Simple ABCD matrix treatment for transversely varying saturable gain," Opt. Lett. 26, 1776-1778 (2001).