Multistabilities and symmetry-broken one-color and two-color states in closely coupled single-mode lasers

Clerkin, Eoin; O’Brien, Stephen; Amann, Andreas

doi:10.1103/physreve.89.032919

Cited by 19 publications

(18 citation statements)

References 29 publications

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“…Figure 10 shows the boundary between stable in-phase solutions and instability for α H = 2, found from the solution of Eqs. (32) and (33). In this figure, the blue curve stands for the Hopf branch and the straight black line represents the pitchfork branch: on the left side of the black line, the laser dynamics is determined by the in-phase solutions (note that the antiphase solutions are unstable everywhere), whereas on the right side, the system admits stable antiphase solutions in the range of d/a shown.…”

Section: B Real Index Guide With N = 00005 and Gain-guidingmentioning

confidence: 99%

Effects of detuning, gain-guiding, and index antiguiding on the dynamics of two laterally coupled semiconductor lasers

Adams

Cemlyn

et al. 2017

Phys. Rev. A

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Four examples of laterally coupled semiconductor lasers with different waveguiding structures have been studied using coupled mode theory and allowing for frequency detuning between the lasers. The structures include purely real index guiding, pure gain-guiding, and combinations of index guiding and antiguiding with gain-guiding. The dynamics of these four systems have been explored using AUTO software (standard numerical continuation package), linear stability analysis, and direct integration of the rate equations. Convincing agreement between results obtained by these three methods has been demonstrated, including effects due to variation of laser pumping rate, detuning, and linewidth enhancement factor. A periodicity of behavior with laser separation has been revealed that was previously overlooked. This periodicity has increasing influence on the bifurcations of the system as the structures develop from those with purely real guidance to a combination of index antiguiding and gain-guiding. The laser design and operating parameters used are realistic for a wide range of edge-emitting and surface-emitting lasers of practical importance, so that the dynamics studied here are relevant to real systems of coupled lasers.

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Section: B Real Index Guide With N = 00005 and Gain-guidingmentioning

confidence: 99%

Effects of detuning, gain-guiding, and index antiguiding on the dynamics of two laterally coupled semiconductor lasers

Adams

Cemlyn

et al. 2017

Phys. Rev. A

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“…Later Erzgräber et al [4,5] studied the bifurcations of one-colour states for large delay. Moreover, for zero delay, stable symmetric and symmetry-broken one-colour and two-colour states have been recently predicted by Clerkin et al [6]. In particular, symmetry-broken two-colour states are highly interesting from an application point of view, for example in the context of all-optical switching [6].…”

Section: Introductionmentioning

confidence: 98%

“…For instance for the laser cavity length L = 1.1 mm, with the low reflectivities R 1 = R 2 = 0.1, the photon lifetime is about τ p = 4.9 ps. Having the slowly varying optical fields of the lasers we can find the rapidly oscillating physical fieldsẼ 1 and E 2 by taking the Fourier transform of the time trace of the optical fields [6]. Fig.…”

Section: Solution Of the Ddesmentioning

confidence: 99%

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Emergence of stable two-colour states in mutually delay-coupled lasers

2017

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Abstract. We theoretically investigate a setup of two mutually delay-coupled semiconductor lasers in a face to face configuration, and study the multi-stabilities and symmetry-broken one-colour and two-colour states for this system, for the development of mutually coupled lasers for integration in a Photonic Integrated Circuit (PIC). We show that the stable two-colour exist for the finite distance between lasers.

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“…For continuation of the periodic solution, we use a previously proposed decomposition [63]. The results are shown in fig.4(b).…”

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confidence: 99%

Amplitude-phase coupling drives chimera states in globally coupled laser networks

et al. 2015

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For a globally coupled network of semiconductor lasers with delayed optical feedback, we demonstrate the existence of chimera states. The domains of coherence and incoherence that are typical for chimera states are found to exist for the amplitude, phase, and inversion of the coupled lasers. These chimera states defy several of the previously established existence criteria. While chimera states in phase oscillators generally demand nonlocal coupling, large system sizes, and specially prepared initial conditions, we find chimera states that are stable for global coupling in a network of only four coupled lasers for random initial conditions. The existence is linked to a regime of multistability between the synchronous steady state and asynchronous periodic solutions. We show that amplitude-phase coupling, a concept common in different fields, is necessary for the formation of the chimera states. Synchronization is a common phenomenon in interacting nonlinear dynamical systems in various fields of research such as physics, chemistry, biology, engineering, or socioeconomic sciences [1][2][3]. While a lot of knowledge has been gained on the origin of complete synchronization, more complex partial synchronization patterns have only recently become the focus of intense research. We still lack a full understanding of these phenomena, and a very prominent example are chimera states where an ensemble of identical elements self-organizes into spatially separated coexisting domains of coherent (synchronized) and incoherent (desynchronized) dynamics [4,5]. Since their first discovery a decade ago many theoretical investigations of coupled phase oscillators and other simplified models have been carried out [6,7] [7,16,17], e.g., spiral wave chimeras [18,19], FitzHugh-Nagumo neural systems [20], Stuart-Landau oscillators [21][22][23], where pure amplitude chimeras [24] were found, or quantum interference devices [25]. In real-world systems chimera states might play a role, e.g., in the unihemispheric sleep of birds and dolphins [26], in neuronal bump states [27,28], in power grids [29], or in social systems [30].Although no universal mechanism for the formation of chimera states has yet been established, three general essential requirements have been found in many studies: (i) a large number of coupled elements, (ii) non-local coupling, and (iii) specific initial conditions. These were primarily derived from the phase oscillator model [7] but also apply to other systems. If these conditions are not met, the chimera states tend to have very short lifetimes. Recent studies, however, suggest that these paradigms can be broken and chimera states are observed also for small system sizes [31], global coupling [15,23,32,33] and random initial conditions [34].Surprisingly, chimera states appear at the interface of independent fields of research putting together different scientific communities. Recent examples are quantum chimera state [35] or coexistence of coherent and incoherent patterns with respect to the modes of an optical com...

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Multistabilities and symmetry-broken one-color and two-color states in closely coupled single-mode lasers

Cited by 19 publications

References 29 publications

Effects of detuning, gain-guiding, and index antiguiding on the dynamics of two laterally coupled semiconductor lasers

Effects of detuning, gain-guiding, and index antiguiding on the dynamics of two laterally coupled semiconductor lasers

Emergence of stable two-colour states in mutually delay-coupled lasers

Amplitude-phase coupling drives chimera states in globally coupled laser networks

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