Article

Multipulse Excitability in a Semiconductor Laser with Optical Injection

Department of Physics and Astronomy, Vrije Universiteit Amsterdam, De Boelelaan 1081, 1081 HV Amsterdam, The Netherlands.
Physical Review Letters (Impact Factor: 7.51). 03/2002; 88(6):063901. DOI: 10.1103/PhysRevLett.88.063901
Source: PubMed

ABSTRACT

An optically injected semiconductor laser can produce excitable multipulses. Homoclinic bifurcation curves confine experimentally accessible regions in parameter space where the laser emits a certain number of pulses after being triggered from its steady state by a single perturbation. This phenomenon is organized by a generic codimension-two homoclinic bifurcation and should also be observable in other systems.

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    • "However, we have recently proposed to use optical injection for this goal, creating a dominating mode (E + ) and a suppressed mode (E − )[14]. Similar to optically injected single-mode semiconductor lasers[4,5,15], this gives rise, in the vicinity of a Saddle-Node on an Invariant Circle (SNIC) bifurcation, to class I excitability, which phenomenologically resembles the well-known leaky integrate-and-fire model of a spiking neuron[16]. Small pulses, preferably out of phase with the locking signal, can be used to perturb the laser state, pushing it across this bifurcation. "
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    • "The blue dashed curve separates the regions σ 0 < 0 (left) and σ 0 > 0 (right) global bifurcations are strongly related to excitability and therefore one expects to encounter them in excitable systems. Various physical systems such as modulation-doped semiconductor heterostructures [Döttling & Schöll, 1992], semiconductor lasers [Krauskopf et al., 2003; Wieczorek et al., 2002], neuron models [Feudel et al., 2000] and chemical systems [Bordyugov & Engel, 2006] have been studied in this respect, both theoretically and experimentally . On the other hand, less work has been carried out for systems with delay undergoing such nonlocal bifurcations [Sethia & Sen, 2006]. "
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    • "ter this work, excitability was found in chemical reactions (Zaikin & Zhabotinsky 1970; Ruoff 1982 ) . More recently, there have been a number of theoretical and experimental demonstrations of excitability in liquid crystals ( Coullet et al. 1994 ) , optical systems including lasers ( Dubbeldam et al. 1999 ; Yacomotti et al. 1999 ; Tredicce 2000 ; Wieczorek et al . 2002 ; Wünsche et al . 2002 ; Krauskopf et al . 2003 ; Goulding et al. 2007 ) and photonic crystals ( Yacomotti phenomenon is mathematically intriguing and relevant to different fields of science ."
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