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Open AccessArticle

Dynamics of a Low-Dimensional Model for Short Pulse Mode Locking

1
New Jersey Center for Science and Technology and Mathematics, Kean University, Union, NJ07083-0411, USA
2
Department of Applied Mathematics, University of Washington, Seattle, WA 98195-2420, USA
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Author to whom correspondence should be addressed.
Photonics 2015, 2(3), 865-882; https://doi.org/10.3390/photonics2030865
Received: 19 June 2015 / Revised: 22 July 2015 / Accepted: 23 July 2015 / Published: 3 August 2015
(This article belongs to the Special Issue Nonlinear Fiber Optics)
Emerging ultra-fast mode-locked lasers are now capable of generating pulses in the few to sub-femtosecond regime. Using recent theoretical innovations around the short pulse equation, we characterize the mode locking dynamics using a low-dimensional representation of the pulse parameters. The theory is formulated using a variational approach, since linearization of the exact solution is not tractable. The dominant dynamics can be characterized in a geometrical way using phase-plane analysis. Of note is our ability to determine the underlying bifurcations that occur due to changes in the fiber laser cavity parameters, including the onset of the multi-pulsing instability. The theory can aid in design principles for generating robust and highly-stable mode-locked pulses. View Full-Text
Keywords: mode-locked lasers; short pulse equation, ultra-fast optics mode-locked lasers; short pulse equation, ultra-fast optics
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Farnum, E.D.; Kutz, J.N. Dynamics of a Low-Dimensional Model for Short Pulse Mode Locking. Photonics 2015, 2, 865-882.

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