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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: Henry van Driel
  • Vol. 27, Iss. 12 — Dec. 1, 2010
  • pp: 2471–2481

The multi-pulsing transition in mode-locked lasers: a low-dimensional approach using waveguide arrays

Matthew O. Williams, Eli Shlizerman, and J. Nathan Kutz  »View Author Affiliations


JOSA B, Vol. 27, Issue 12, pp. 2471-2481 (2010)
http://dx.doi.org/10.1364/JOSAB.27.002471


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Abstract

The onset of multi-pulsing, a ubiquitous phenomenon in laser cavities, is considered. The multi-pulsing transition is studied in a specific model that uses a waveguide array as the cavity saturable absorber. Using a low-dimensional reduction constructed by the method of proper orthogonal decomposition (principal components), a complete characterization of the multi-pulsing transition is given, including the onset of periodic solution (Hopf bifurcation) and period-doubling bifurcation and NeimarkÔÇôSacker (torus) bifurcation as routes to chaos. To the best of our knowledge, this is the first low-dimensional construction of the entire multi-pulsing transition from N to N + 1 pulses per round trip. The reduced model qualitatively reproduces the dynamics observed in the multi-pulse transition of the mode-locked laser and confirms recent experimental observations of periodic and chaotic behavior preceding the multi-pulsing transition.

© 2010 Optical Society of America

OCIS Codes
(140.1540) Lasers and laser optics : Chaos
(140.4050) Lasers and laser optics : Mode-locked lasers
(230.7370) Optical devices : Waveguides

ToC Category:
Lasers and Laser Optics

History
Original Manuscript: August 2, 2010
Revised Manuscript: September 19, 2010
Manuscript Accepted: September 20, 2010
Published: November 3, 2010

Citation
Matthew O. Williams, Eli Shlizerman, and J. Nathan Kutz, "The multi-pulsing transition in mode-locked lasers: a low-dimensional approach using waveguide arrays," J. Opt. Soc. Am. B 27, 2471-2481 (2010)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-27-12-2471

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