PMID: 15244918Jul 13, 2004Paper

Dynamics of two mutually coupled semiconductor lasers: instantaneous coupling limit

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Serhiy YanchukLutz Recke

Abstract

We consider two semiconductor lasers coupled face to face under the assumption that the delay time of the injection is small. The model under consideration consists of two coupled rate equations, which approximate the coupled Lang-Kobayashi system as the delay becomes small. We perform a detailed study of the synchronized and antisynchronized solutions for the case of identical systems and compare results from two models: with the delay and with instantaneous coupling. The bifurcation analysis of systems with detuning reveals that self-pulsations appear via bifurcations of stationary (i.e., continuous wave) solutions. We discover the connection between stationary solutions in systems with detuning and synchronous (also antisynchronous) solutions of coupled identical systems. We also identify a codimension 2 bifurcation point as an organizing center for the emergence of chaotic behavior.

References

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Citations

Feb 9, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Paulo Cesar RechJason A C Gallas
Oct 26, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Serhiy Yanchuk
Jul 23, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·B FiedlerE Schöll
Sep 28, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·H ErzgräberB Krauskopf
Apr 3, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Cristian BonattoStephen P Hegarty
May 3, 2018·Optics Express·Hong Han, K Alan Shore
May 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Fabian BöhmKathy Lüdge
Apr 15, 2020·Optics Letters·Benjamin LingnauBryan Kelleher
Mar 5, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·H ErzgräberB Krauskopf
Apr 16, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Eoin ClerkinAndreas Amann
Feb 21, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Serhiy YanchukJerzy Wojewoda

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