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


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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    • "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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    ABSTRACT: We study the effect of a time-delayed feedback within a generic model for a saddle-node bifurcation on a limit cycle. Without delay the only attractor below this global bifurcation is a stable node. Delay renders the phase space infinite-dimensional and creates multistability of periodic orbits and the fixed point. Homoclinic bifurcations, period-doubling and saddle-node bifurcations of limit cycles are found in accordance with Shilnikov's theorems.
    International Journal of Bifurcation and Chaos 11/2011; 18(06). DOI:10.1142/S0218127408021348 · 1.08 Impact Factor
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    • "Indeed, lasers with saturable absorber are not the only class of lasers in which excitability has been found. Other laser systems demonstrating excitability include lasers with optical injection [13] [14] or optical feedback [15] [16], multisection DFB lasers [17], and lasers with integrated dispersive reflectors [18]; see also Ref. [19]. Potential applications of excitable lasers include clock recovery, where the laser acts as an optical switch that reacts only to sufficiently large optical input, and pulse reshaping, where a dispersed input pulse can generate a clean large-amplitude output pulse. "
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    ABSTRACT: This paper presents a case study of a semiconductor laser with a saturable absorber (SLSA) and an external optical feedback loop. The system is modeled by the Yamada rate equations to which a feedback term has been added. Starting from the bifurcation analysis of the SLSA alone, the influence of feedback strength and delay time is investigated by means of a numerical bifurcation analysis. The emphasis is on excitable dynamics and self-sustained oscillations in the presence of the feedback loop.
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    • "On the right of the tooth, the period-2 limit cycle LC 2 undergoes a homoclinic bifurcation on the same line SN , leading to the appearance of double excitable pulses DP in the presence of noise. This explanation differs from the one predicted earlier using conventional laser rate equations with optical injection [9] [10] [11], where the multipulse excitability was predicted inside the main homoclinic tooth. The distinguishing feature of our 'period doubling' excitability mechanism in comparison with the n-homoclinic scenario is that the regions in (S i , ∆) parameter space where single and double pulses appear are separated by the tooth and are sufficiently large to make experimental observation possible. "
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    ABSTRACT: We present and analyse a three-dimensional model for a quantum dot semiconductor laser with optical injection. This model describes recent experimental single and double excitable intensity pulses, which are related to a central saddle-node homoclinic bifurcation as in the Adler equation. Double pulses are related to a period doubling bifurcation and occur on the same homoclinic curve as single pulses. The bifurcation scenario consolidating single and double excitable pulses is described in detail.
    Journal of Physics Conference Series 11/2008; 138(1):012014. DOI:10.1088/1742-6596/138/1/012014
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