Isochronous Synchronization Between Chaotic Semiconductor Lasers Over 40-km Fiber Links

Wu, Jiagui; Wu, Zheng-Mao; Xia, Guang-Qiong; Deng, Tao; Lin, Xiaohui; Tang, Xi; Feng, Guoying

doi:10.1109/lpt.2011.2170212

Cited by 48 publications

(28 citation statements)

References 17 publications

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“…Therefore, our results link the emergence of relay synchronization in instantaneously coupled chaotic systems with the existence of generalized synchronization with the relay system, and open the possibility of using relay units for secure communications [26]. As recently demonstrated, indeed, chaos encryption by means of relay systems can be successfully implemented in real systems [4,27] and understanding the role of the relay unit will be fundamental for the feasibility of this kind of secure communications.…”

supporting

confidence: 70%

“…The main issue is to characterize properly the relationship, established in RS, between the dynamics of the relay system and that of the synchronized systems. When a certain delay is introduced in the coupling lines, lag synchronization has been reported [3,4]. Nevertheless, relay units may have certain parameter mismatch [8] or even be completely different systems [5], thus having dynamics with unclear a priori relationship with the systems they are synchronizing.…”

mentioning

confidence: 99%

“…In these cases, indeed, the coupling delay may induce instability of the synchronous state [2], which can be restored again thanks to a relay system. Lasers [3,4] and electronics circuits [5] have been the benchmark for experimental demonstration of the feasibility of RS, showing its robustness against noise or parameter mismatch. In semiconductor lasers, for instance, zero-lag synchronization between two delaycoupled oscillators can be achieved by relaying the dynamics via a third mediating element, which surprisingly lags behind the synchronized outer elements.…”

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confidence: 99%

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Generalized synchronization in relay systems with instantaneous coupling

et al. 2013

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We demonstrate the existence of generalized synchronization in systems that act as mediators between two dynamical units that, in turn, show complete synchronization with each other. These are the so-called relay systems. Specifically, we analyze the Lyapunov spectrum of the full system to elucidate when complete and generalized synchronization appear. We show that once a critical coupling strength is achieved, complete synchronization emerges between the systems to be synchronized, and at the same point, generalized synchronization with the relay system also arises. Next, we use two nonlinear measures based on the distance between phase-space neighbors to quantify the generalized synchronization in discretized time series. Finally, we experimentally show the robustness of the phenomenon and of the theoretical tools here proposed to characterize it. Synchronization is a common phenomenon in a diversity of natural and technological systems [1]. Synchrony, however, is not always achieved spontaneously, and reaching or maintaining a synchronous state often requires an external action. An elegant way to enhance synchronization is the use of relay units between the systems to be synchronized [see Fig. 1(a)]. Relay synchronization (RS) consists of achieving complete synchronization (CS) of two dynamical systems by indirect coupling through a relay unit, whose dynamics does not necessary join the synchronous state. RS is especially useful in bidirectionally coupled systems with a certain delay in the coupling line. In these cases, indeed, the coupling delay may induce instability of the synchronous state [2], which can be restored again thanks to a relay system. Lasers [3,4] and electronics circuits [5] have been the benchmark for experimental demonstration of the feasibility of RS, showing its robustness against noise or parameter mismatch. In semiconductor lasers, for instance, zero-lag synchronization between two delaycoupled oscillators can be achieved by relaying the dynamics via a third mediating element, which surprisingly lags behind the synchronized outer elements. With electronic circuits, RS has been used as a technique for transmitting and recovering encrypted messages, which can be sent bidirectionally and simultaneously [6]. Apart from its technological applications, RS has also been proposed as a possible mechanism at the basis of isochronous synchronization between distant areas of the brain [7]. Despite such evidence of RS, there are still open questions of a fundamental nature. The main issue is to characterize properly the relationship, established in RS, between the dynamics of the relay system and that of the synchronized systems. When a certain delay is introduced in the coupling lines, lag synchronization has been reported [3,4]. Nevertheless, relay units may have certain parameter mismatch [8] or even be completely different systems [5], thus having dynamics with unclear a priori relationship with the systems they are synchronizing.In this paper, we give evidence that RS in fact corresponds to t...

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confidence: 70%

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confidence: 99%

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confidence: 99%

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Generalized synchronization in relay systems with instantaneous coupling

et al. 2013

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“…As for acquiring fast random number, the TDS of chaos may cause that the randomness and statistical performance of random bits are deteriorated [5]. As a result, how to analyze and suppress the TDS of chaos in a SL-based chaotic system has been a subject of considerable research effort in recent years [17][18][19][20][21][22][23][24][25][26][27][28].…”

Section: Introductionmentioning

confidence: 99%

Time-delay signatures hidden in the phase of chaotic output of mutually delay-coupled vertical-cavity surface-emitting lasers

Yang

et al. 2015

Optics Communications

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“…From the applications point of view, the dynamics of externally driven semiconductor lasers is gaining more and more interest. While initially it was considered more as a nuisance, it is now viewed as a resource that can be beneficially exploited for chaos based communications (Goedgebuer et al 1998;Argyris et al 2005;Wu et al 2011Wu et al , 2013Li et al 2011) and random bit generation (Uchida et al 2008;Reidler et al 2009;Kanter et al 2010;Wu et al 2012).…”

Section: Introductionmentioning

confidence: 99%

Edge-emitting semiconductor laser driven by a van der Pol oscillator: analytical and numerical analysis

et al. 2014

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A device constituted of an edge-emitting semiconductor laser driven by a van der Pol oscillator is studied analytically and numerically. For small value of the parameter controlling the dissipation in van der Pol oscillator, the Lindstedt-Poincaré method is used to find analytically high accurate solutions of the van der Pol equation with a bias term. Then by using the harmonic balance method, we obtain the amplitude of the oscillatory states of the laser output. The analytical results are compared with those from numerical simulation and a good agreement is obtained. By varying the parameter controlling the dissipation in van der Pol oscillator and the normalized reverse bias saturation of the injection current in the laser, we numerically show that the laser output exhibits a period-doubling route to chaos. The coexistence between periodic and chaotic behaviors is found in edge-emitting semiconductor laser driven by a van der Pol oscillator for specific parameters values. It is demonstrated that the edge-emitting semiconductor laser driven by a van der Pol oscillator generates dynamical behaviors found in edge-emitting semiconductor laser subject to a sine modulated current demonstrating the advantage of using a simple and less bulky electronic device to modulate the semiconductor laser pump current.

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Isochronous Synchronization Between Chaotic Semiconductor Lasers Over 40-km Fiber Links

Cited by 48 publications

References 17 publications

Generalized synchronization in relay systems with instantaneous coupling

Generalized synchronization in relay systems with instantaneous coupling

Time-delay signatures hidden in the phase of chaotic output of mutually delay-coupled vertical-cavity surface-emitting lasers

Edge-emitting semiconductor laser driven by a van der Pol oscillator: analytical and numerical analysis

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