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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 19, Iss. 4 — Apr. 1, 2002
  • pp: 740–746

Stability of pulses in the master mode-locking equation

Todd Kapitula, J. Nathan Kutz, and Björn Sandstede  »View Author Affiliations


JOSA B, Vol. 19, Issue 4, pp. 740-746 (2002)
http://dx.doi.org/10.1364/JOSAB.19.000740


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Abstract

The master mode-locking equation is a canonical model for mode locking in solid-state lasers. We consider the dynamics and stability of the localized pulse solutions that this equation admits of. We provide analytic proof of stable mode-locking behavior along with analysis that shows that mode locking can become destabilized as a result of either a radiation-mode or a saddle-node instability. This is to our knowledge the first analytic proof of the stability of the pulse solutions that takes the time-dependent gain saturation mechanism of mode-locked lasers into account.

© 2002 Optical Society of America

OCIS Codes
(140.3510) Lasers and laser optics : Lasers, fiber
(140.4050) Lasers and laser optics : Mode-locked lasers

Citation
Todd Kapitula, J. Nathan Kutz, and Björn Sandstede, "Stability of pulses in the master mode-locking equation," J. Opt. Soc. Am. B 19, 740-746 (2002)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-19-4-740

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