Localized structures in dissipative media: from optics to plant ecology

Tlidi, Mustapha; Staliūnas, Kęstutis; Panajotov, Krassimir; Vladimirov, Andrei; Clerc, Marcel G.

doi:10.1098/rsta.2014.0101

Cited by 106 publications

(64 citation statements)

References 221 publications

(253 reference statements)

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“…Cavity Solitons (CSs) are spatially localized light structures in the transverse plane of a nonlinear resonator that result from the balance of nonlinearity and diffraction (for reviews see [1][2][3][4][5][6][7][8][9][10][11]). CSs belong to the class of dissipative structures found far from equilibrium, the losses in the system have to be balanced by external energy input.…”

Section: Introductionmentioning

confidence: 99%

Bifurcation structure of cavity soliton dynamics in a vertical-cavity surface-emitting laser with a saturable absorber and time-delayed feedback

et al. 2017

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We consider a wide-aperture surface-emitting laser with a saturable absorber section subjected to time-delayed feedback. We adopt the mean-field approach assuming a single longitudinal mode operation of the solitary VCSEL. We investigate cavity soliton dynamics under the effect of timedelayed feedback in a self-imaging configuration where diffraction in the external cavity is negligible. Using bifurcation analysis, direct numerical simulations and numerical path continuation methods, we identify the possible bifurcations and map them in a plane of feedback parameters. We show that for both the homogeneous and localized stationary lasing solutions in one spatial dimension the time-delayed feedback induces complex spatiotemporal dynamics, in particular a period doubling route to chaos, quasiperiodic oscillations and multistability of the stationary solutions.

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Section: Introductionmentioning

confidence: 99%

Bifurcation structure of cavity soliton dynamics in a vertical-cavity surface-emitting laser with a saturable absorber and time-delayed feedback

et al. 2017

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“…Typically, when the Turing instability becomes sub-critical, there exists a pinning domain where localized structures are stable. This is a universal phenomenon and a well documented issue in various fields of nonlinear science, such as chemistry, plant ecology, or optics (see some recent overviews on this multidisciplinary issue ( [41,42,48]). In this section we describe some basic properties of stationary LS and their bifurcation diagrams in a one dimensional setting.…”

Section: Stationary Localized Structuresmentioning

confidence: 99%

“…In particular, LSs could be used as bits for information storage and processing. Several overviews have been published on this active area of research [31,9,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48].…”

Section: Introductionmentioning

confidence: 99%

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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“…This effect is commonly used in the mode-locked solid state lasers 7-10 aimed at producing extremely short light pulses. Heterostructures with embedded saturable absorber paved the way for studies of dissipative solitons (DSs) which became the focus of optics research about two decades ago [11][12][13][14][15][16][17][18][19] due to their fundamental properties and potential for various applications in information processing 20,21 Theoretical work on cavity solitons 22,23 has stimulated a variety of experiments. 24,25 In heterostructure devices with saturable absorption, solitons can be engineered via geometry and alloy composition control.…”

Section: Introductionmentioning

confidence: 99%

Dissipative soliton protocols in semiconductor microcavities at finite temperatures

et al. 2015

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We consider exciton polaritons in a semiconductor microcavity with a saturable absorber in the growth direction of the heterostructure. This feature promotes additional nonlinear losses of the system with the emergence of bistability of the condensate particles number on the nonresonant (electrical or optical) excitation intensity. Further we demonstrate a new type of bright spatial dissipative exciton-polariton soliton which emerges in the equilibrium between the regions with different particle density. We develop protocols of soliton creation and destruction. The switch to a soliton-like behavior occurs if the cavity is exposed by a short strong laser pulse with certain energy and duration. We estimate the characteristic times of soliton switch on and off and the time of return to the initial cycle. In particular, we demonstrate surprising narrowing of the spatial profile of the soliton and its vanishing at certain temperature due to interaction of the system with the thermal bath of acoustic phonons. We also address the role of polariton-polariton interaction (Kerr-like nonlinearity) on formation of dissipative solitons and show that the soliton may exist both in its presence and absence.

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Localized structures in dissipative media: from optics to plant ecology

Cited by 106 publications

References 221 publications

Bifurcation structure of cavity soliton dynamics in a vertical-cavity surface-emitting laser with a saturable absorber and time-delayed feedback

Bifurcation structure of cavity soliton dynamics in a vertical-cavity surface-emitting laser with a saturable absorber and time-delayed feedback

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

Dissipative soliton protocols in semiconductor microcavities at finite temperatures

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