All-optical delay line using semiconductor cavity solitons

Pedaci, Francesco; Barland, S.; Caboche, E.; Genevet, Patrice; Giudici, Massimo; Tredicce, J. R.; Ackemann, T.; Scroggie, A.J.; Firth, W. J.; Oppo, Gian-Luca; Tissoni, G.; Jäger, R.

doi:10.1063/1.2828458

Cited by 114 publications

(74 citation statements)

References 25 publications

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“…In optical cavities, DS (also known as cavity solitons) have been proposed as bits for all-optical memories [9][10][11][12][13], due to their spatial localization and bistable coexistence with the fundamental solution. In Ref.…”

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confidence: 99%

“…This scenario does not depend on the details of the system nor on the spatial dimensionality. Besides, it provides a solid theoretical framework to explain the dynamics of DS in systems with drift, as observed for instance in semiconductor microresonators [11,22].To analyze this scenario we start with the prototypical Swift-Hohenberg equation (SHE), a generic amplitude equation describing pattern formation in a large variety of systems [1,[23][24][25]. The SHE is variational, thus it can not have oscillatory regimes.…”

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Dissipative Soliton Excitability Induced by Spatial Inhomogeneities and Drift

et al. 2013

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We show that excitability is generic in systems displaying dissipative solitons when spatial inhomogeneities and drift are present. Thus, dissipative solitons in systems which do not have oscillatory states, such as the prototypical Swift-Hohenberg equation, display oscillations and Type I and II excitability when adding inhomogeneities and drift to the system. This rich dynamical behavior arises from the interplay between the pinning to the inhomogeneity and the pulling of the drift. The scenario presented here provides a general theoretical understanding of oscillatory regimes of dissipative solitons reported in semiconductor microresonators. Our results open also the possibility to observe this phenomenon in a wide variety of physical systems. [6,7], or excitability [8]. DS emerge from a balance between nonlinearity and spatial coupling, and driving and dissipation. They are unique once the system parameters are fixed, and they are different from the well known conservative solitons that appear as oneparameter families.In optical cavities, DS (also known as cavity solitons) have been proposed as bits for all-optical memories [9-13], due to their spatial localization and bistable coexistence with the fundamental solution. In Ref. [8] it was reported that DS may exhibit excitable behavior. A system is said to be excitable if perturbations below a certain threshold decay exponentially, while perturbations above this threshold induce a large response before going back to the resting state. Excitability is found for parameters close to those where a limit cycle disappears [14]. Excitability mediated by DS is different from the well known dynamics of excitable media, whose behavior stems from the (local) excitability present in the system without spatial degrees of freedom. Excitability of DS is an emergent behavior, arising through the spatial interaction and not present locally. Moreover, the interaction between different excitable DS can be used to build alloptical logical gates [15].In real systems, however, typically solitons are static, so oscillatory or excitable DS are far from being generic. In this work we present a mechanism that generically induces dynamical regimes, such as oscillations and excitable behavior, in which the structure of the DS is preserved. The mechanism relies on the interplay between spatial inhomogeneities and drift, and therefore can be implemented under very general conditions. Inhomogeneities, or defects, are unavoidable in any experimental setup, and drift is also often present in many optical, fluid and chemical systems, due to misalignments of the mirrors [16,17], nonlinear crystal birefringence [18], or parameter gradients [19], in the first case, and due to the flow of a fluid in the others [20,21]. Roughly speaking, the presence of inhomogeneities and drift introduce two competing effects. On the one hand, an inhomogeneity pins a DS at a fixed position and, on the other, the drift tries to pull it out. If the drift overcomes the pinning, DS solitons are released from the in...

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Dissipative Soliton Excitability Induced by Spatial Inhomogeneities and Drift

et al. 2013

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“…LSs in a monolithic optically pumped VCSEL with a saturable absorber have been demonstrated in [61] and their switching dynamics studied in [62]. Several applications of LSs in VCSELs have been demonstrated: optical memory [63], optical delay line [64] and optical microscopy [50].…”

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Localized Structures in Broad Area VCSELs: Experiments and Delay-Induced Motion

Tlidi

Averlant

Vladimirov

et al. 2015

Springer Proceedings in Physics

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We investigate the space-time dynamics of a Vertical-Cavity SurfaceEmitting Laser (VCSEL) subject to optical injection and to delay feedback control. Apart from their technological advantages, broad area VCSELs allow creating localized light structures (LSs). Such LSs, often called Cavity Solitons, have been proposed to be used in information processing, device characterization, and others. After a brief description of the experimental setup, we present experimental evidence of stationary LSs. We then theoretically describe this system using a mean field model. We perform a real order parameter description close to the nascent bistability and close to large wavelength pattern forming regime. We theoretically characterize the LS snaking bifurcation diagram in this framework. The main body of this chapter is devoted to theoretical investigations on the time-delayed feedback control of LSs in VCSELs. The feedback induces a spontaneous motion of the LSs, which we characterize by computing the velocity and the threshold associated with such motion. In the nascent bistability regime, the motion threshold and the velocity

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“…Owing to the maturity of the semiconductor technology and the possible applications of LSs of light in all-optical delay lines [3] and logic gates [4], these structures have been the subject of active research in the field of nonlinear optics. Moreover, the fast response time of VCSELs makes them attractive devices for potential applications in all-optical control of light.…”

Section: Introductionmentioning

confidence: 99%

Cavity solitons in vertical-cavity surface-emitting lasers

Vladimirov

Pimenov

Gurevich

et al. 2014

Phil. Trans. R. Soc. A.

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We investigate a control of the motion of localized structures (LSs) of light by means of delay feedback in the transverse section of a broad area nonlinear optical system. The delayed feedback is found to induce a spontaneous motion of a solitary LS that is stationary and stable in the absence of feedback. We focus our analysis on an experimentally relevant system, namely the vertical-cavity surface-emitting laser (VCSEL). We first present an experimental demonstration of the appearance of LSs in a 80 µm aperture VCSEL. Then, we theoretically investigate the self-mobility properties of the LSs in the presence of a time-delayed optical feedback and analyse the effect of the feedback phase and the carrier lifetime on the delay-induced spontaneous drift instability of these structures. We show that these two parameters affect strongly the space-time dynamics of twodimensional LSs. We derive an analytical formula for the threshold associated with drift instability of LSs and a normal form equation describing the slow time evolution of the speed of the moving structure.

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All-optical delay line using semiconductor cavity solitons

Cited by 114 publications

References 25 publications

Dissipative Soliton Excitability Induced by Spatial Inhomogeneities and Drift

Dissipative Soliton Excitability Induced by Spatial Inhomogeneities and Drift

Localized Structures in Broad Area VCSELs: Experiments and Delay-Induced Motion

Cavity solitons in vertical-cavity surface-emitting lasers

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