Clusters of Cavity Solitons Bounded by Conical Radiation

Milián, Carles; Kartashov, Yaroslav V.; Skryabin, Dmitry V.; Torner, Lluís

doi:10.1103/physrevlett.121.103903

Cited by 16 publications

(4 citation statements)

References 53 publications

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“…With a suitable design of the array and pump conditions, the bullet energy, peak amplitude and widths (in space and time) can remain close to the values corresponding to the stationary solutions as bullet evolve in the presence of HOEs. Dynamical evolutions where stable multidimensional solitons are stationary in the presence of HOEs was reported previously only in cavities (see, e.g., [12,59]). Here we found that a similar phenomenon occurs in single-pass twisted arrays.…”

Section: Pacs Numbersmentioning

confidence: 65%

Robust Ultrashort Light Bullets in Strongly Twisted Waveguide Arrays

2019

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We introduce a new class of stable light bullets that form in twisted waveguide arrays pumped with ultrashort pulses, where twisting offers a powerful knob to tune the properties of localized states. We find that above a critical twist, three-dimensional wavepackets are unambiguously stabilized, with no minimum energy threshold. As a consequence, when the higher order perturbations that accompany ultrashort pulse propagation are at play, the bullets dynamically adjust and sweep along stable branches. Therefore, they are predicted to feature an unprecedented experimental robustness. PACS numbers:The introduction by Silberberg several decades ago of the concept of light bullets [1], as self-trapped spatiotemporal wavepackets of light, triggered an intense research activity (see [2,3] and references therein). However, to date their experimental observation in steady state form is still an essentially open challenge. Threedimensional stable states were known to exist, even at that time, in several mathematical models [4], including parametric mixing in quadratic nonlinear media [5], and have been subsequently studied in media with saturable [6], competing [7,8], and nonlocal [9-11] nonlinearities, as well as in dissipative systems [12][13][14][15][16][17]. Stable light bullets were predicted to form in discrete [18,19] and continuous [20,21] lattices too, even when carrying vorticity [22][23][24]. Experimentally, landmark advances were achieved when fundamental [25,26] and weakly unstable vortex [27] light bullets were observed to form, albeit in a transient regime, in photonic crystal fibers with periodic cores and, later, when nonlinearity-induced locking of relatively long pulses in different modes, resulting in the formation of spatiotemporal localized wavepackets, was observed in graded-index media [28].Nevertheless, despite the intense efforts conducted during the last two decades that have led to several different theoretical proposals for the existence of stable light bullets (see, also, the recent review [29]), their experimental observation over long distances remains elusive [25][26][27]. One of the salient challenges arises from the presence of higher order effects (HOEs) that may destroy the bullet states existing in reduced mathematical models, where HOEs are disregarded. In practice, however, HOEs are actually significant and thus play an important role in experiments conducted with the ultrashort (sub-picosecond) pump pulses that are required in order to generate enough group-velocity dispersion for a spatiotemporal state to form over many dispersion lengths. * Electronic address: carmien@upvnet.upv.es As a consequence, to date, the experimental formation of long-lived bullets has not been achieved.In this Letter we report on the existence of stable light bullets that are predicted to be observable as robust three-dimensional wavepackets for unprecedented propagation distances even in the presence of HOEs. We found such states in twisted waveguide arrays, otherwise known to support stable spatial soli...

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Section: Pacs Numbersmentioning

confidence: 65%

Robust Ultrashort Light Bullets in Strongly Twisted Waveguide Arrays

2019

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“…Laser cavities offer an important physical realization of this model. Although in most works it was considered in the 1D form, the consideration of the 2D LL equation is relevant too, which suggests a possibility to look for 2D soliton-like states in this context [116][117][118]. Additional possibilities for the creation of localized states are offered by the 2D LL equation with a tightly localized (focused) pump term [119].…”

Section: Discussionmentioning

confidence: 99%

Multidimensional dissipative solitons and solitary vortices

Malomed

2022

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This article offers a review of (chiefly, theoretical) results for self-trapped states (solitons) in twoand three-dimensional (2D and 3D) models of nonlinear dissipative media. The existence of such solitons requires to maintain two stable balances: between nonlinear self-focusing and linear spreading (diffraction and/or dispersion) of the physical fields, and between losses and gain in the medium. Due to the interplay of these conditions, dissipative solitons exist, unlike solitons in conservative models, not in continuous families, but as isolated solutions (attractors). The main issue in the theory is stability of multidimensional dissipative solitons, especially ones with embedded vorticity. First, stable 2D dissipative solitons are presented in the framework of the complex Ginzburg-Landau equation with the cubic-quintic nonlinearity, which combines linear loss, cubic gain, and quintic loss (the linear loss is necessary to stabilize zero background around dissipative solitons, while the quintic loss provided for the global stability of the setting). In addition to fundamental (zero-vorticity) solitons, stable spiral solitons produced by the CGL equation are produced too, with intrinsic vorticities S = 1 and 2. Stable 2D solitons were also found in a system built of two linearly-coupled optical fields, with linear gain acting in one and linear loss, which plays the stabilizing role, in the other. In this case, the inclusion of the cubic loss (without quintic terms) is sufficient for the creation of stable fundamental and vortical dissipative solitons in the linearly-coupled system. In addition to truly localized states, weakly localized ones are presented too, in the single-component model with nonlinear losses, which does not include explicit gain. In that case, the losses are compensated by the influx of power from the reservoir provided, at the spatial infinity, by the weakly localized structure of the solution. Other classes of 2D models which are considered in this review make use of spatially modulated loss or gain to predict many species of robust dissipative solitons, including localized dynamical states featuring complex periodically recurring metamorphoses. Stable fundamental and vortical solitons are also produced by models including a trapping or spatially periodic potential. In the latter case, the consideration addresses 2D gap dissipative solitons as well. 2D two-component dissipative models including spin-orbit coupling are considered too. They give rise to stable states in the form of semi-vortex solitons, with vorticity carried by one component. In addition to the 2D solitons, the review includes 3D fundamental and vortical dissipative solitons, stabilized by the cubic-quintic nonlinearity and/or external potentials. Collisions between 3D dissipative solitons are considered too. Contents I. Introduction II. Spiral solitons (vortex rings) produced by the 2D complex Ginzburg-Landau (CGL) equation with the cubic-quintic (CQ) nonlinearity III. Dissipative vortex solitons in a laser cavity stabili...

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“…The possibility to excite robust temporal solitons in fiber loops [1] and microring resonators [2,3] had a profound impact into fundamentals and applications of frequency combs [4,5]. A clear advantage of the driven systems with respect to single pass ones is the fact that ultra-short solitonic pulses exist and are robust under strong perturbations arising due to the so-called higher order effects, both of linear [6][7][8] and nonlinear [9][10][11] nature, as well as in higher dimensions [12,13]. Not surprisingly, dispersion engineering was shown to be a versatile tool for control of many morphological properties of the solitonic combs, such as the enhancement of their spectral extent [14,15].…”

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confidence: 99%

Quartic Kerr cavity combs: Bright and dark solitons

Parra-Rivas,

Hetzel,

Kartashov

et al. 2022

Preprint

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We theoretically investigate the dynamics, bifurcation structure and stability of localized states in Kerr cavities driven at the pure fourth-order dispersion point. Both the normal and anomalous group velocity dispersion regimes are analysed, highlighting the main differences with the standard second order dispersion case. In the anomalous regime, single and multi-peak localised states exist and are stable over a much wider region of the parameter space. In the normal dispersion regime, stable narrow bright solitons exist. Some of our findings can be understood by a new scenario reported here for the spatial eigenvalues, which imposes oscillatory tails to all localised states. To be published in Optics Letters.

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Clusters of Cavity Solitons Bounded by Conical Radiation

Cited by 16 publications

References 53 publications

Robust Ultrashort Light Bullets in Strongly Twisted Waveguide Arrays

Robust Ultrashort Light Bullets in Strongly Twisted Waveguide Arrays

Multidimensional dissipative solitons and solitary vortices

Quartic Kerr cavity combs: Bright and dark solitons

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