Dynamics of a low-dimensional model for short pulse mode locking
Document Type
Article
Publication Date
9-1-2015
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.
Publication Title
Photonics
First Page Number
865
Last Page Number
882
DOI
10.3390/photonics2030865
Recommended Citation
Farnum, Edward D. and Kutz, J. Nathan, "Dynamics of a low-dimensional model for short pulse mode locking" (2015). Kean Publications. 1840.
https://digitalcommons.kean.edu/keanpublications/1840
