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

Photonics

Edward D. Farnum¹ 

[1] New Jersey Center for Science and Technology and Mathematics, Kean University, Union, NJ 07083-0411, USA

关键词: mode-locked lasers;    short pulse equation;    ultra-fast optics;   

DOI  :  10.3390/photonics2030865

来源: mdpi

【 摘 要 】

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.

【 授权许可】

CC BY   
© 2015 by the authors; licensee MDPI, Basel, Switzerland.