2006/08/09 by Thomas W. Carr, Carr, T. W., Ira B. Schwartz +5
Computer Science · Engineering · #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Nonlinear Dynamics and Pattern Formation #Photonic and Optical Devices #Semiconductor Lasers and Optical Devices
paper · pdf · doi:10.48550/arxiv.nlin/0608015
openalex publication_date 2006/08/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider a model for two lasers that are mutually coupled optoelectronically by modulating the pump of one laser with the intensity deviations of the other. Signal propagation time in the optoelectronic loop causes a significant delay leading to the onset of oscillatory output. Multiscale perturbation methods are used to describe the amplitude and period of oscillations as a function of the coupling strength and delay time. For weak coupling the oscillations have the laser's relaxation period, and the amplitude varies as the one-fourth power of the parameter deviations from the bifurcation point. For order-one coupling strength the period is determined as multiples of the delay time, and the amplitude varies with a square-root power law. Because we allow for independent control of the individual coupling constants, for certain parameter values there is an atypical amplitude-resonance phenomena. Finally, our theoretical results are consistent with recent experimental observations when the inclusion of a low-pass filter in the coupling loop is taken into account.