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Photonics 2015, 2(3), 865-882; doi:10.3390/photonics2030865

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
*
Author to whom correspondence should be addressed.
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)
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Abstract

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
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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MDPI and ACS Style

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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