Cavity-configuration-dependent nonlinear dynamics in Kerr-lens mode-locked lasers

Journal of the Optical Society of America B: Optical Physics

Volumn 17, Issue 8, 2000, Pages 1335-1342

  Wei, Ming Dar ^a   Hsieh, Wen Feng ^a  

^a NATIONAL CHIAO TUNG UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; HAMILTONIANS; NONLINEAR OPTICS; OPTICAL KERR EFFECT; OSCILLATIONS;

NONLINEAR SOURCES; WAVE FUNCTIONS;

LASER MODE LOCKING;

EID: 0034373393     PISSN: 07403224     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAB.17.001335     Document Type: Article

References (27)

1. D. E. Spence, P. N. Kean, and W. Sibbett, "60-fs pulse generation from a self-mode-locked Ti:sapphire laser," Opt. Lett. 16, 42-44 (1991).
2. M. Piche, "Beam reshaping and self-mode-locking in nonlinear laser resonators," Opt. Commun. 86, 156-160 (1991).
3. G. W. Pearson, C. Radzewicz, and J. S. Krasinski, "Analysis of self-focusing mode-locking lasers with additional highly nonlinear self-focusing elements," Opt. Commun. 94, 221-226 (1992).
4. J. Herrmann, "Theory of Kerr-lens mode locking: role of self-focusing and radially varying gain," J. Opt. Soc. Am. B 11, 498-512 (1994).
5. G. Cerullo, S. De Silvestri, V. Magni, and L. Pallaro, "Resonators for Kerr-lens mode-locked femtosecond Ti:sapphire lasers," Opt. Lett. 19, 807-809 (1994).
6. K.-H. Lin and W.-F. Hsieh, "An analytical design of asymmetrical Kerr lens mode-locking laser cavities," J. Opt. Soc. Am. B 11, 737-741 (1994).
7. J. L. A. Chilla and O. E. Martinez, "Spatial-temporal analysis of the self-mode-locked Ti:sapphire laser," J. Opt. Soc. Am. B 10, 638-643 (1993).
8. K.-H. Lin and W.-F. Hsieh, "Analytical spatio-temporal design of Kerr lens mode-locked laser resonators," J. Opt. Soc. Am. B 13, 1786-1793 (1996).
9. D. Cote and H. M. van Driel, "Period doubling of a femtosecond Ti:sapphire laser by total mode locking," Opt. Lett. 23, 715-717 (1998).
10. S. R. Bolton, R. A. Jenks, C. N. Elkinton, and G. Sucha, "Pulse-resolved measurements of subharmonic oscillations in a Kerr-lens mode-locked Ti:sapphire laser," J. Opt. Soc. Am. B 16, 339-344 (1999).
11. V. L. Kalashnikov, I. G. Poloyko, and V. P. Mikhailov, "Regular, quasi-periodic, and chaotic behavior in continuous-wave solid-state Kerr-lens mode-locked lasers," J. Opt. Soc. Am. B 14, 2691-2695 (1997).
12. Q. Xing, L. Chai, W. Zhang, and C. Wang, "Regular, period-doubling, quasi-periodic, and chaotic behavior in a self-mode-locked Ti:sapphire laser," Opt. Commun. 162, 71-74 (1999).
13. M.-D. Wei, W.-F. Hsieh, and C. C. Sung, "Dynamics of an optical resonator determined by its iterative map of beam parameters," Opt. Commun. 146, 201-207 (1998).
14. J. M. Greene, "A method for determining a stochastic transition," J. Math. Phys. 20, 1183-1201 (1979).
15. A. E. Seigman, Lasers (University Science, Mill Valley, Calif., 1986), Chaps. 20 and 21.
16. H. Kogelnik, "Imaging of optical modes-resonators with internal lenses," Bell Syst. Tech. J. 44, 455-494 (1965); H. Kogelnik and T. Li, "Laser beams and resonators," Appl. Opt. 5, 1550-1556 (1966).
17. H. Kogelnik, "Imaging of optical modes-resonators with internal lenses," Bell Syst. Tech. J. 44, 455-494 (1965); H. Kogelnik and T. Li, "Laser beams and resonators," Appl. Opt. 5, 1550-1556 (1966).
18. 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).
19. M.-D. Wei, W.-F. Hsieh, and C. C. Sung, "The preferable resonators for Kerr-lens mode-locking determined by stability factors of their iterative maps," Opt. Commun. 155, 406-412 (1998).
20. L. M. Sanchez and A. A. Hnilo, "Optical cavities as iterative maps in the complex plane," Opt. Commun. 166, 229-238 (1999).
21. K.-H. Lin, Y. Lai, and W.-F. Hsieh, "Simple analytic method of cavity design for astigmatism compensated Kerr lens mode-locked ring lasers and its application," J. Opt. Soc. Am. B 12, 468-475 (1995).
22. M. Mechendale, T. R. Nelson, F. G. Omenetto, and W. A. Schroeder, "Thermal effects in laser pumped Kerr-lens modelocked Ti:sapphire lasers," Opt. Commun. 136, 150-159 (1997).
23. B. E. Lemoff and C. P. J. Barty, "Generation of high-peak-power 20 fs pulses from a regeneratively initiated, self-mode-locked Ti:sapphire laser," Opt. Lett. 17, 1367-1369 (1992).
24. R. S. MacKay, Renormalisation in Area-Preserving Maps (World Scientific, Singapore, 1993), Chap. 1.
25. A. J. Lichtenberg and M. A. Lieberman, Regular and Chaotic Dynamics (Springer-Verlag, New York, 1992), Chap. 3.
26. J.-M. Shieh, F. Ganikhanov, K.-H. Lin, W.-F. Hsieh, and C.-L. Pan, "Completely self-starting picosecond and femtosecond Kerr-lens mode-locked Ti:sapphire laser," J. Opt. Soc. Am. B 12, 945-949 (1995).
27. F. Salin and J. Squier, "Gain guiding in solid-state lasers," Opt. Lett. 17, 1352-1354 (1992).