Robust Two-Dimensional Spatial Solitons in Liquid Carbon Disulfide

Falcão-Filho, Edílson L.; Araújo, Cid B. de; Boudebs, Georges; Leblond, Hervé; Škarka, V.

doi:10.1103/physrevlett.110.013901

Cited by 138 publications

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References 45 publications

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“…In particular, the analysis has shown that the NLSE produces stable solutions for materials exhibiting an interplay of the focusing third-order and defocusing fifth-order susceptibilities, 0 Re [5,6]. Recently, the stable propagation of (2+1)D spatial solitons in carbon disulfide, CS 2 , supported by this mechanism, has been demonstrated experimentally [7].On the other hand, using resonant nonlinearity in the rarefied gas of three-level atoms, which includes competing cubic and quintic nonlinearities, along with the four-wave mixing (FWM), it was possible to demonstrate the stabilization, on a long propagation distance (~20 diffraction lengths), of various soliton species, including fundamental, dipole, and vortex ones. The FWM in a nonresonant medium (glass) was exploited too to arrest the collapse of (2+1)D quasisolitons [8,9].…”

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Robust self-trapping of vortex beams in a saturable optical medium

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“…The FWM in a nonresonant medium (glass) was exploited too to arrest the collapse of (2+1)D quasisolitons [8,9]. Furthermore, applying a nonlinearity-management procedure [10], it was possible to observe stable (2+1)D spatial solitons in a composite with suppressed (3) χ but conspicuous focusing (5) χ and defocusing (7) χ susceptibilities [11].…”

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Robust self-trapping of vortex beams in a saturable optical medium

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“…A challenging problem is finding still more general physically relevant conditions for the creation of complex 3D modes, such as the hopfions [60], skyrmions (which, similar to hopfions, carry two different topological charges) [61,62], monopoles [63], linked vortex rings, and others. In terms of the experiment, the entire area of multidimensional solitons remains a challenging one, as very few experimental results have been reported, thus far (the latest experimental findings are the creation of (2+1)D optical spatial solitons in media with competing focusing-defocusing cubic-quintic [64] and quintic-septimal [65] nonlinearities, as well as the making of a quasi-stable vortex solitons in an optical medium where nonlinear losses are essential [66]). …”

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confidence: 99%

Multidimensional solitons: Well-established results and novel findings

Malomed

2016

Eur. Phys. J. Spec. Top.

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A brief review is given of some well-known and some very recent results obtained in studies of two-and three-dimensional (2D and 3D) solitons. Both zero-vorticity (fundamental) solitons and ones carrying vorticity S = 1 are considered. Physical realizations of multidimensional solitons in atomic Bose-Einstein condensates (BECs) and nonlinear optics are briefly discussed too. Unlike 1D solitons, which are typically stable, 2D and 3D ones are vulnerable to the instability induced by the occurrence of the critical and supercritical collapse, respectively, in the same 2D and 3D models that give rise to the solitons. Vortex solitons are subject to a still stronger splitting instability. For this reason, a central problem is looking for physical settings in which 2D and 3D solitons may be stabilized. The review addresses one well-established topic, viz., the stabilization of the 3D and 2D states, with S = 0 and 1, trapped in harmonic-oscillator (HO) potentials, and another topic which was developed very recently: the stabilization of 2D and 3D free-space solitons, which mix components with S = 0 and ±1 (semi-vortices and mixed modes), in a binary system with the spinorbit coupling (SOC) between its components. In both cases, the generic situations are drastically different in the 2D and 3D geometries. In the former case, the stabilization mechanism creates a stable ground state (GS, which was absent without it), whose norm falls below the threshold value at which the critical collapse sets in. In the 3D geometry, the supercritical collapse does not allow to create a GS, but metastable solitons can be constructed.

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“…In (2+1)D, stable soliton solution of the cubic-quintic NL Schrödinger equation (CQ-NLSE) was predicted by considering the competition between focusing third-order and defocusing fifth-order nonlinearities [18]. The experimental observation of stable (2+1)D fundamental solitons in cubic-quintic media, including a dissipative effect due to the threephoton absorption, was recently reported [19].…”

Section: Introductionmentioning

confidence: 99%