Next Article in Journal
Multipoles of Even/Odd Split-Ring Resonators
Next Article in Special Issue
Four-Wave Mixing of a Laser and Its Frequency-Doubled Version in a Multimode Optical Fiber
Previous Article in Journal
Quantum Dot/Liquid Crystal Nanocomposites in Photonic Devices
Previous Article in Special Issue
Dynamics of a Dispersion-Managed Passively Mode-Locked Er-Doped Fiber Laser Using Single Wall Carbon Nanotubes
Open AccessArticle

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

New Jersey Center for Science and Technology and Mathematics, Kean University, Union, NJ07083-0411, USA
Department of Applied Mathematics, University of Washington, Seattle, WA 98195-2420, USA
Author to whom correspondence should be addressed.
Photonics 2015, 2(3), 865-882;
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)
PDF [1166 KB, uploaded 3 August 2015]


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

Figure 1

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).

Share & Cite This Article

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.

Show more citation formats Show less citations formats

Related Articles

Article Metrics

Article Access Statistics



[Return to top]
Photonics EISSN 2304-6732 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top