Bragg localized structures in a passive cavity with transverse modulation of the refractive index and the pump

Vladimirov, Andrei; Skryabin, Dmitry V.; Kozyreff, Gregory; Mandel, P.; Tlidi, Mustapha

doi:10.1364/opex.14.000001

Cited by 42 publications

(14 citation statements)

References 24 publications

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“…However, when the distance between peaks decreases they start to interact via their oscillating, exponentially decaying tails [4,5,6,7]. LSs have been reported in nonlinear resonators such as lasers with saturable absorbers [8,9,10], in passive nonlinear resonators [2,3,11], optical parametric oscillators [12,13], in left-handed materials [14,15,16,17], in exciton-polariton patterns in semiconductor microcavities [18,19] and in the framework of the Ginzburg-Landau equation [20,21,22,23,24]. Phase solitons have been demonstrated far from any pattern forming instability [25,26,27,28,29,30].…”

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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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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“…Propagation of light beams in various types of nonlinear lattices with modified diffraction has been analyzed [16][17][18][19][20][21][22]. It was demonstrated that light beams can become localized in the periodically curved nonlinear waveguide arrays in the form of diffraction-managed solitons [23][24][25].…”

Section: Introductionmentioning

confidence: 99%

Light bullets in nonlinear periodically curved waveguide arrays

2010

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We predict that stable mobile spatiotemporal solitons can exist in arrays of periodically curved optical waveguides. We find two-dimensional light bullets in planar arrays with harmonic waveguide bending and three-dimensional bullets in square lattices with helical waveguide bending using variational formalism. Stability of the light-bullet solutions is confirmed by the direct numerical simulations which show that the light bullets can freely move across the curved arrays. This mobility property is a distinguishing characteristic compared to previously considered discrete light bullets which were trapped to a specific lattice site. These results suggest new possibilities for flexible spatiotemporal manipulation of optical pulses in photonic lattices.

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“…However, nonlinear regimes, including the regimes of Bragg solitons-stable localized structure of high-intensity laser radiation, are undoubtedly promising (Kivshar and Agrawal 2003). More recently, the existence of dissipative solitons in driven nonlinear interferometer with lateral Bragg grating was proved in Staliunas (2003), Yulin et al (2005) and Vladimirov et al (2006).…”

Section: Introductionmentioning

confidence: 99%

Effect of finite relaxation rates on the stability of dissipative fiber Bragg solitons

Tran

Rosanov

2008

Opt Quant Electron

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We present a study of the effect of finite relaxation rates of media on the stability of dissipative solitons in single-mode fibers with longitudinal Bragg grating and nonlinear gain created by one active medium, and absorption created by one passive medium that gives the stability to solitons. The system of Maxwell-Bloch equations for this model is introduced. Based on the analysis of this system, it is shown that dissipative Bragg solitons are stable in the case when the active medium has greater relaxation rates than the passive medium.

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Bragg localized structures in a passive cavity with transverse modulation of the refractive index and the pump

Cited by 42 publications

References 24 publications

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

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

Light bullets in nonlinear periodically curved waveguide arrays

Effect of finite relaxation rates on the stability of dissipative fiber Bragg solitons

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