Drift of dark cavity solitons in a photonic-crystal fiber resonator

Tlidi, Mustapha; Bahloul, L.; Cherbi, L.; Hariz, A.; Coulibaly, Saliya

doi:10.1103/physreva.88.035802

Cited by 50 publications

(27 citation statements)

References 82 publications

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“…In the anomalous GVD regime it was shown that highorder chromatic dispersion effects can modify the dynamics and bifurcation structure of solitons in the LLE [24,25]. In particular, third-order dispersion (TOD) generates the emission of dispersive waves that can lead to the suppression of dynamical regimes such as oscillations and chaos [26,27].…”

Section: Introductionmentioning

confidence: 99%

Coexistence of stable dark- and bright-soliton Kerr combs in normal-dispersion resonators

2017

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Using the Lugiato-Lefever model, we analyze the effects of third-order chromatic dispersion on the existence and stability of dark-and bright-soliton Kerr frequency combs in the normal dispersion regime. While in the absence of third-order dispersion only dark solitons exist over an extended parameter range, we find that third-order dispersion allows for stable dark and bright solitons to coexist. Reversibility is broken and the shape of the switching waves connecting the top and bottom homogeneous solutions is modified. Bright solitons come into existence thanks to the generation of oscillations in the switching-wave profiles. Temporal oscillatory instabilities of dark solitons are suppressed in the presence of sufficiently strong third-order dispersion, while bright solitons are never found to oscillate in time. As a result of third-order dispersion both bright and dark solitons are found to move with a velocity that depends on their width.

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Section: Introductionmentioning

confidence: 99%

Coexistence of stable dark- and bright-soliton Kerr combs in normal-dispersion resonators

2017

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“…More recently, spatial LS have been observed in laser systems where they arise from spontaneous emission noise [16,17] (active morphogenesis), without requiring an injected field. Because these lasing LS appear in a phase invariant system, their dynamical ingredients and their properties are very different from the LS appearing in injected resonators [18].Recent works have addressed the question whether the concept of LS can be extended to the time domain [19][20][21][22] in the case of optically injected cavities. Here we propose to answer to this question considering a phase invariant system, namely a passively mode-locked laser.…”

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confidence: 99%

How Lasing Localized Structures Evolve out of Passive Mode Locking

Marconi

Javaloyes

Balle³

et al. 2014

Phys. Rev. Lett.

145

152

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We investigate the relationship between passive mode locking and the formation of time-localized structures in the output intensity of a laser. We show how the mode-locked pulses transform into lasing localized structures, allowing for individual addressing and arbitrary low repetition rates. Our analysis reveals that this occurs when (i) the cavity round-trip is much larger than the slowest medium time scale, namely the gain recovery time, and (ii) the mode-locked solution coexists with the zero intensity (off) solution. These conditions enable the coexistence of a large quantity of stable solutions, each of them being characterized by a different number of pulses per round-trip and with different arrangements. Then, each mode-locked pulse becomes localized, i.e., individually addressable. [11]. The possibility of using LS as information bits for processing information in optical devices [12][13][14] has attracted an increasing interest in the last twenty years. LS have been observed in the transverse section of broad-area semiconductor microcavities injected by a coherent electromagnetic field [15] (passive morphogenesis) and are also termed "cavity solitons." More recently, spatial LS have been observed in laser systems where they arise from spontaneous emission noise [16,17] (active morphogenesis), without requiring an injected field. Because these lasing LS appear in a phase invariant system, their dynamical ingredients and their properties are very different from the LS appearing in injected resonators [18].Recent works have addressed the question whether the concept of LS can be extended to the time domain [19][20][21][22] in the case of optically injected cavities. Here we propose to answer to this question considering a phase invariant system, namely a passively mode-locked laser. Passive mode locking (PML) is an elegant method leading to the emission of pulses much shorter than the cavity round-trip. It is achieved by combining two elements, a laser amplifier providing gain and a nonlinear loss element, usually a saturable absorber (SA). The different dynamical properties of the SA and of the gain create a window for regeneration only around the pulse. PML can be successfully described via the seminal Haus' master equation, which combines the nonlinear Schrödinger equation with dynamical nonlinear gain and losses [23]. In fiber or Ti:sapphire lasers [24], for which the gain and the absorption are respectively much slower and faster than all the other variables, the Haus equation can be approximated by the subcritical cubic-quintic complex Ginzburg-Landau equation where one replaces for simplicity the slowly evolving net gain-which has a typical time scale of Γ −1 ¼ 10 ms in doped fibers-by a constant. This constant must be determined self-consistently as it depends on the number of PML pulses per round-trip, which may be one (fundamental PML) or N h (N-th order harmonic PML). The stability of these different emission states is described by the so-called background stability criterion of PML [25], whic...

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“…We have described spatially localized structures, recent investigations have shown that temporal localized structures have been found in fibre resonators [104,90,105,106,107,108] and in VCSELS with a saturable absorber [109]. On the other hand, it has been shown that the combinated influence of diffraction and chromatic dispersion leads to the formation of three dimensional localized structures often called light bullet [110,111,112,113].…”

Section: Discussionmentioning

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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Drift of dark cavity solitons in a photonic-crystal fiber resonator

Cited by 50 publications

References 82 publications

Coexistence of stable dark- and bright-soliton Kerr combs in normal-dispersion resonators

Coexistence of stable dark- and bright-soliton Kerr combs in normal-dispersion resonators

How Lasing Localized Structures Evolve out of Passive Mode Locking

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

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