Europhys. Lett.
Volume 61, Number 5, March 2003
Page(s) 613 - 619
Section Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid dynamics
Published online 01 February 2003
DOI: 10.1209/epl/i2003-00115-8
Europhys. Lett., 61 (5) , pp. 613-619 (2003)

Synchronization of weakly stable oscillators and semiconductor laser arrays

A. G. Vladimirov1, G. Kozyreff2, 3 and P. Mandel2

1  Weierstrass Institute for Applied Analysis and Stochastics Mohrenstrasse 39, D-10117 Berlin, Germany
2  Optique Nonlinéaire Théorique, Université Libre de Bruxelles Campus Plaine - CP 231, B-1050 Bruxelles, Belgium
3  Oxford Centre for Industrial and Applied Mathematics, Oxford University Oxford, OX1 3LB, UK

(Received 5 August 2002; accepted in final form 3 January 2003)

We study the synchronization properties of an array of nonidentical globally coupled limit cycle oscillators. Above a critical coupling strength, some oscillators undergo a self-pulsing instability. We study analytically the synchronization conditions below and above this instability threshold, thus removing the usual restriction of limit cycle stability. Self-pulsing decreases the order parameter and synchronization degradation can be reduced by delaying the coupling among the oscillators. Semiconductor lasers coupled by an external mirror are used as a convenient realization of that model.

42.65.Sf - Dynamics of nonlinear optical systems; optical instabilities, optical chaos and complexity, and optical spatio-temporal dynamics.
42.55.Px - Semiconductor lasers; laser diodes.
05.45.Xt - Synchronization; coupled oscillators.

© EDP Sciences 2003