Limit-cycle dynamics with reduced sensitivity to perturbations.
Limit-cycle oscillators are used to model a broad range of periodic nonlinear phenomena. Using the optically injected semiconductor laser as a paradigmatic example, we demonstrate that at specific operating points, the period-one oscillation frequency is simultaneously insensitive to multiple perturbation sources. In our system these include the temperature fluctuations experienced by the master and slave lasers as well as fluctuations in the bias current applied to the slave laser. Tuning of the oscillation frequency then depends only on the injected optical field amplitude. Experimental measurements are in detailed quantitative agreement with numerical modeling. These special operating points should prove valuable for developing ultrastable nonlinear oscillators, such as a narrow-linewidth, frequency-tunable photonic microwave oscillator.
L-3 Applied Technologies, Inc., 10770 Wateridge Circle, San Diego, California, USA.
Thomas B
TB
Simpson
Electrical Engineering Department, University of California, Los Angeles, Los Angeles, California, USA.
Jia-Ming
JM
Liu
Electrical Engineering Department, University of California, Los Angeles, Los Angeles, California, USA.
Mohammad
M
AlMulla
Air Force Research Laboratory, 2241 Avionics Circle, Wright-Patterson AFB, Ohio, USA.
Nicholas G
NG
Usechak
Air Force Research Laboratory, 2241 Avionics Circle, Wright-Patterson AFB, Ohio, USA.
Vassilios
V
Kovanis
D008962:Models, Theoretical; D017711:Nonlinear Dynamics; D010507:Periodicity