OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 18, Iss. 8 — Aug. 1, 2001
  • pp: 1069–1075

Cavity configurations for soft-aperture Kerr-lens mode locking and multiple-period bifurcations in Ti:sapphire lasers

Ja-Hon Lin, Ming-Dar Wei, Wen-Feng Hsieh, and Hsiao-Hua Wu  »View Author Affiliations


JOSA B, Vol. 18, Issue 8, pp. 1069-1075 (2001)
http://dx.doi.org/10.1364/JOSAB.18.001069


View Full Text Article

Acrobat PDF (728 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We find that soft-aperture Kerr-lens mode locking (SAKLM) in a Ti:sapphire laser always takes place around certain discrete cavity configurations accompanied by peculiar beam patterns. By correlating the superposition of proper transverse modes to the observed beam patterns and fitting the beat frequencies to the resonance equation, we discovered that the patterns for SAKLM are formed by phase locking of the fundamental mode with specific degenerate transverse modes that occur near different degenerate cavity configurations. As predicted by the stability analysis, period-3 and period-2 SAKLM does occur around the 1/3- and 1/4-degenerate cavity configurations, which cannot be fully explained in terms of total mode locking of TEM00 and TEM01 modes.

© 2001 Optical Society of America

OCIS Codes
(140.1540) Lasers and laser optics : Chaos
(140.3410) Lasers and laser optics : Laser resonators
(140.3580) Lasers and laser optics : Lasers, solid-state
(140.4050) Lasers and laser optics : Mode-locked lasers
(190.3270) Nonlinear optics : Kerr effect

Citation
Ja-Hon Lin, Ming-Dar Wei, Wen-Feng Hsieh, and Hsiao-Hua Wu, "Cavity configurations for soft-aperture Kerr-lens mode locking and multiple-period bifurcations in Ti:sapphire lasers," J. Opt. Soc. Am. B 18, 1069-1075 (2001)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-18-8-1069


Sort:  Author  |  Year  |  Journal  |  Reset

References

  1. D. E. Spence, P. N. Kean, and W. Sibbett, “60-fsec pulse generation from a self-mode-locked Ti:sapphire laser,” Opt. Lett. 16, 42–44 (1991).
  2. J. Hermann, “Theory of Kerr-lens mode locking: role of self-focusing and radially varying gain,” J. Opt. Soc. Am. B 11, 498–512 (1994).
  3. 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).
  4. K.-H. Lin and W.-F. Hsieh, “Analytical design of symmetrical Kerr-lens mode-locking laser cavities,” J. Opt. Soc. Am. B 11, 737–741 (1994).
  5. K.-H. Lin, Y. Lai, and W.-F. Hsieh, “Simple analytical method of cavity design for astigmatism-compensated Kerr-lens mode-locked ring lasers and its applications,” J. Opt. Soc. Am. B 12, 468–475 (1995).
  6. J. L. A. Chilla and O. E. Martinez, “Spatial-temporal analysis of the self-mode-locked Ti:sapphire,” J. Opt. Soc. Am. B 10, 638–643 (1993).
  7. K.-H. Lin and W.-F. Hsieh, “Analytical spatial-temporal design of Kerr lens mode-locked laser resonators,” J. Opt. Soc. Am. B 13, 1786–1793 (1996).
  8. G. Cerullo, S. D. Silvestri, and V. Magni, “Self-starting Kerr-lens mode locking of a Ti:sapphire laser,” Opt. Lett. 19, 1040–1042 (1994).
  9. M. Lai, “Self-starting, self-mode-locked Ti:sapphire laser,” Opt. Lett. 19, 722–724 (1994).
  10. D.-G. Juang, Y.-C. Chen, S.-H. Hsu, K.-H. Lin, and W.-F. Hsieh, “Differential gain and buildup dynamics of self-starting Kerr lens mode-locked Ti:sapphire laser without an internal aperture,” J. Opt. Soc. Am. B 14, 2116–2121 (1997).
  11. J.-G. Lai, K.-H. Lin, D.-G. Juang, and W.-F. Hsieh, “Construction of a wavelength-tunable self-starting Kerr lens mode locked Ti:sapphire laser system,” Chin. J. Phys. (Taipei) 34, 111–121 (1996).
  12. 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).
  13. A. E. Siegman, Lasers (University Science, Mill Valley, Calif., 1986), Chaps. 20 and 21.
  14. 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).
  15. M.-D. Wei and W.-F. Hsieh, “Cavity-configuration-dependent nonlinear dynamics in Kerr-lens mode-locked lasers,” J. Opt. Soc. Am. B 17, 1335–1342 (2000).
  16. M.-D. Wei and W.-F. Hsieh, “Bifurcation of fundamental Gaussian modes in Kerr-lens mode-locked lasers,” Opt. Commun. 168, 161–166 (1999).
  17. H.-H. Wu, C.-C. Sheu, T.-W. Chen, M.-D. Wei, and W.-F. Hsieh, “Observation of power drop and low threshold due to beam waist shrinkage around critical configurations in an end-pumped Nd:YVO4 laser,” Opt. Commun. 165, 225–229 (1999).
  18. H.-H. Wu and W.-F. Hsieh, “Observation of multipass transverse modes in an axially pumped solid state laser with different fractional degenerate resonator configurations,” J. Opt. Soc. Am. B 18, 7–12 (2001).
  19. S. R. Bolton, R. A. Jenks, C. N. Elkinton, and G. Sucha, “Pulse-resolved measurements of subharmonic oscillations in a Kerr-lens mode-locked laser,” J. Opt. Soc. Am. B 16, 339–343 (1999).
  20. 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).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited