Optical crystals and light-bullets in Kerr resonators

Tlidi, Mustapha; Gopalakrishnan, Shyam Sunder; Taki, Majid; Panajotov, Krassimir

doi:10.1016/j.chaos.2021.111364

Cited by 11 publications

(4 citation statements)

References 52 publications

(67 reference statements)

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“…Spatio-temporal localization, i.e. simultaneous light localization in space and time, also called light bullet (LB) [15] has recently been demonstrated for the 3-dimensional LLE [16,17]. Such localization has been also predicted theoretically for semiconductor active media [18], saturable absorber [19][20][21], parametric oscillator [22,23], second harmonic generation [24,25], nonlinear metamaterials [26], straight and twisted waveguide arrays [27,28] (for reviews see [29,30]).…”

Section: Introductionmentioning

confidence: 93%

Discrete vector light bullets in coupled χ3 nonlinear cavities

Panajotov

Tlidi

Song

et al. 2022

Chaos, Solitons & Fractals

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Section: Introductionmentioning

confidence: 93%

Discrete vector light bullets in coupled χ3 nonlinear cavities

Panajotov

Tlidi

Song

et al. 2022

Chaos, Solitons & Fractals

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“…11(a) taken from Ref. [204]. We plot the amplitude of lamellae, hpc, and bcc lattice as a function of the injected beam with Tutorial respect to the relative distance from the MI critical threshold.…”

Section: Optical Crystalsmentioning

confidence: 99%

Rogue waves in nonlinear optics

Tlidi

Taki

2022

Adv. Opt. Photon.

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Understanding the phenomenon of rogue wave formation, often called extreme waves, in diverse branches of nonlinear science has become one of the most attractive domains. Given the great richness of the new results and the increasing number of disciplines involved, we are focusing here on two pioneering fields: hydrodynamics and nonlinear optics. This tutorial aims to provide basic background and the recent developments on the formation of rogue waves in various systems in nonlinear optics, including laser physics and fiber optics. For this purpose we first discuss their formation in conservative systems, because most of the theoretical and analytical results have been realized in this context. By using a multiple space–time scale analysis, we review the derivation of the nonlinear Schrödinger equation from Maxwell’s equations supplemented by constitutive equations for Kerr materials. This fundamental equation describes the evolution of a slowly varying envelope of dispersive waves. This approximation has been widely used in the majority of systems, including plasma physics, fluid mechanics, and nonlinear fiber optics. The basic property of this generic model that governs the dynamics of many conservative systems is its integrability. In particular, we concentrate on a nonlinear regime where classical prototypes of rogue wave solutions, such as Akhmediev breathers, Peregrine, and Ma solitons are discussed as well as their experimental evidence in optics and hydrodynamics. The second part focuses on the generation of rogue waves in one- and two-dimensional dissipative optical systems. Specifically, we consider Kerr-based resonators for which we present a detailed derivation of the Lugiato–Lefever equation, assuming that the resonator length is shorter than the space scales of diffraction (or the time scale of the dispersion) and the nonlinearity. In addition, the system possesses a large Fresnel number, i.e., a large aspect ratio so that the resonator boundary conditions do not alter the central part of the beam. Dissipative structures such as solitons and modulational instability and their relation to frequency comb generation are discussed. The formation of rogue waves and the control employing time-delayed feedback are presented for both Kerr and semiconductor-based devices. The last part presents future perspectives on rogue waves to three-dimensional dispersive and diffractive nonlinear resonators.

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“…Introduction.-It is a challenging issue to create stable three-dimensional (3D) localized modes (alias solitons) owning to the inherent supercritical wave collapse triggered by attractive cubic (Kerr) nonlinearity (critical wave collapse also exists in two-dimensional (2D) settings) [1][2][3][4][5][6][7][8][9]. To against such high-dimensional wave collapses in the soliton research field in diverse branches of science, it is therefore necessary to introduce extra physical effects, including synthetic periodic potentials [10][11][12][13][14][15][16][17][18][19][20], saturable absorber [21,22], optical cavity [23][24][25], semiconductor active [26] or quadratic nonlinear media [27], waveguide and fiber arrays [28][29][30][31], materials with nonlocal [32,33] or competing (focusing) cubic and (defocusing) quintic nonlinearities [34,35], linear spin-orbit coupling [36], etc.…”

mentioning

confidence: 99%

Light gap bullets in defocusing media with optical lattices

Chen¹,

Zeng²

2023

Preprint

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Searching for three-dimensional spatiotemporal solitons (also known as light/optical bullets) has recently attracted keen theoretical and experimental interests in nonlinear physics. Currently, optical lattices of diverse kinds have been introduced to the stabilization of light bullets, while the investigation for the light bullets of gap type-nonlinear localized modes within the finite gap of the underlying linear Bloch spectrum-is lacking. Herein, we address the formation and stabilization properties of such light gap bullets in periodic media with defocusing nonlinearity, theoretically and in numerical ways. The periodic media are based on two-dimensional periodic standing waves created in a coherent three-level atomic system which is driven to the regime of electromagnetically induced transparency, which in principle can also be replaced by photonic crystals in optics or optical lattices in ground-state ultracold atoms system. The temporal dispersion term is tuned to normal (positive) group velocity dispersion so that to launch the light gap bullets under self-repulsive nonlinearity; two types of such light gap bullets constructed as 3D gap solitons and vortices with topological charge m = 1 within the first finite gap are reported and found to be robustly stable in the existence domains. On account of the light bullets were previously limited to the semi-infinite gap of periodic media and continuous nonlinear physical systems, the light gap bullets reported here thus supplement the missing type of three-dimensional spatiotemporal localized modes in periodic media which exhibit finite band gaps.

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Optical crystals and light-bullets in Kerr resonators

Cited by 11 publications

References 52 publications

Discrete vector light bullets in coupled χ3 nonlinear cavities

Discrete vector light bullets in coupled χ3 nonlinear cavities

Rogue waves in nonlinear optics

Light gap bullets in defocusing media with optical lattices

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