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Analysis of a Dynamical System Modeling Lasers and Applications for Optical Neural Networks

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An analytical study of dynamical properties of a semiconductor laser with optical injection of arbitrary polarization is presented. It is shown that if the injected field is sufficiently weak, then the laser has nine equilibrium points; however, only one of them is stable. Even if the injected field is linearly polarized, six of the equilibrium points have a state of polarization that is elliptical. Dependence of the equilibrium points on the injected field is described, and it is shown that as the intensity of the injected field increases, the number of equilibrium points decreases, with only a single equilibrium point remaining for strong enough injected fields. As an application, a complex-valued optical neural network with working principle based on injection locking is proposed.

dynamical systemsemiconductor laserlaser with optical injectioncomplex-valued neural net-workequilibrium pointstabilitybifurcation analysisSEMICONDUCTOR-LASERSMOOTH

Ylinen, Lauri、von Lerber, Tuomo、Kuppers, Franko、Lassas, Matti

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Univ Helsinki

Skolkovo Inst Sci & Technol Skoltech

2022

SIAM journal on applied dynamical systems

SIAM journal on applied dynamical systems

EI
ISSN:
年,卷(期):2022.21(2)
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