Two distinct excitable responses for a laser with a saturable absorber

Physical Review. E
Thomas Erneux, Sylvain Barbay

Abstract

Excitable lasers with saturable absorbers are currently investigated as potential candidates for low level spike processing tasks in integrated optical platforms. Following a small perturbation of a stable equilibrium, a single and intense laser pulse can be generated before returning to rest. Motivated by recent experiments [Selmi et al., Phys. Rev. E 94, 042219 (2016)10.1103/PhysRevE.94.042219], we consider the rate equations for a laser containing a saturable absorber (LSA) and analyze the effects of different initial perturbations. With its three steady states and following Hodgkin classification, the LSA is a Type I excitable system. By contrast to perturbations on the intensity leading to the same intensity pulse, perturbations on the gain generate pulses of different amplitudes. We explain these distinct behaviors by analyzing the slow-fast dynamics of the laser in each case. We first consider a two-variable LSA model for which the conditions of excitability can be explored in the phase plane in a transparent manner. We then concentrate on the full three variable LSA equations and analyze its solutions near a degenerate steady bifurcation point. This analysis generalizes previous results [Dubbeldam et al., Phys. Rev. E 6...Continue Reading

References

Jan 22, 2002·Physical Review Letters·H J WünscheF Henneberger
Apr 24, 2002·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·J L DubbeldamD Lenstra
Dec 6, 2011·Optics Letters·Sylvain BarbayAlejandro M Yacomotti
Sep 17, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M TurconiS Barland
May 27, 2014·Physical Review Letters·F SelmiS Barbay
Jan 20, 2016·Scientific Reports·B RomeiraJ Javaloyes
Nov 15, 2016·Physical Review. E·F SelmiS Barbay
Feb 18, 2017·Physical Review. E·B GarbinS Barland

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Citations

Sep 3, 2020·Chaos·K Alfaro-BittnerM G Clerc
Feb 20, 2021·Physical Review. E·Soizic TerrienSylvain Barbay

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