Delayed‐Mutual Coupling Dynamics of Lasers: Scaling Laws and Resonances
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Publication:5309759
DOI10.1137/050647918zbMATH Open1210.78025arXivnlin/0608015OpenAlexW2017050367MaRDI QIDQ5309759
Author name not available (Why is that?)
Publication date: 2 October 2007
Published in: (Search for Journal in Brave)
Abstract: 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.
Full work available at URL: https://arxiv.org/abs/nlin/0608015
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