Gaussian-type light bullets in power-law nonlinear media with<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si0015.gif" overflow="scroll"><mml:mi mathvariant="script">PT</mml:mi><mml:mi mathvariant="normal">-</mml:mi><mml:mi>symmetric</mml:mi></mml:math>potentials

Chen, Yixiang; Dai, Chao-Qing

doi:10.1016/j.optcom.2014.11.006

Optics Communications

2015

DOI: 10.1016/j.optcom.2014.11.006

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Gaussian-type light bullets in power-law nonlinear media withPT-symmetricpotentials

Yixiang Chen

Chao-Qing Dai

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“…The properties of 1D and 2D solitons in periodic  -symmetric lattices are known [57][58][59][60][61][62][63][64][65][66], but 3D solitons have not been achieved. Note that previous works [67,68] about 3D solitons used complex potentials localized in three dimensions and employed symmetries absent in a periodic medium. Thus, the question of whether stable 3D solitons are possible in complex potentials remains open.…”

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Three-dimensional topological solitons in PT-symmetric optical lattices

Kartashov¹,

Hang²,

Huang³

et al. 2016

Optica

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We address the properties of fully three-dimensional solitons in complex parity-time (PT )-symmetric periodic lattices with focusing Kerr nonlinearity, and uncover that such lattices can stabilize both fundamental and vortex-carrying soliton states. The imaginary part of the lattice induces internal currents in the solitons that strongly affect their domains of existence and stability. The domain of stability for fundamental solitons can extend nearly up to the PT -symmetry breaking point, where the linear lattice spectrum becomes complex. Vortex solitons feature spatially asymmetric profiles in the PT -symmetric lattices, but they are found to still exist as stable states within narrow regions. Our results provide the first example of continuous families of stable three-dimensional propagating solitons supported by complex potentials. MOTIVATIONThe generation of three-dimensional (3D) solitons has been a salient problem of fundamental importance since the birth of nonlinear physics. The problem critically hinges in the elucidation of physical settings that allow the existence of threedimensional self-sustained excitations that, in addition, are stable upon propagation. The latter requirement is particularly challenging because the common cubic (Kerr) nonlinearity present in most potentially suitable materials leads to supercritical collapse and thus cannot support stable higher-dimensional solitons in uniform media [1,2]. A number of approaches to stabilize 3D solitons have been suggested over the years [3,4]. Most of them suggest using nonlinearities that are different from pure cubic nonlinearity, introduce various higher-order effects, or rely on spatial modulations of the system parameters. Thus, it has been predicted that stable 3D solitons (termed light bullets in optics) can be supported by media with saturable [5] and quadratic [6][7][8] nonlinearities, materials with competing [9-11] or non-local [12-15] nonlinearities, off-resonant two-level systems [16], etc. Stable evolution of 3D solitons is shown to be possible under the action of higher-order effects arising upon filamentation [17] or in the presence of higher-order dispersion or non-paraxial corrections [18]. Three-dimensional solitons were studied in dissipative settings too, where in addition to competing conservative nonlinearities, higher-order absorption is usually present [19][20][21][22][23][24][25].A powerful strategy for the realization of stable 3D bullets (as well as of topological 2D states [26,27]) relies on the spatial modulations of material parameters. Longitudinal tandems [28,29], graded-index fibers [30], and structures with combined transverse and longitudinal modulations [31,32] can be used to suppress collapse. Stabilization of 3D solitons in a transversally periodic medium was predicted in discrete waveguide arrays [33][34][35]. This idea was transferred to continuous optical systems [36][37][38][39] and also to Bose-Einstein condensates (BECs) [40][41][42]. Importantly, this strategy afforded the first experimental observ...

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confidence: 99%

Three-dimensional topological solitons in PT-symmetric optical lattices

Kartashov¹,

Hang²,

Huang³

et al. 2016

Optica

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Interference Phenomenon in the Wavepacket-Triangular Prism Collision in Fractional Schrodinger Equation

Haji Taghi Tehrani,

Solaimani

2023

Iran J Sci

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Localized structures of the (3+1)-dimensional nonlinear Schrödinger equation with different diffractions and power-law nonlinearities in PT-symmetric potentials

Wang

Shao-Feng

et al. 2016

Eur. Phys. J. Plus

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Gaussian-type light bullets in power-law nonlinear media withPT-symmetricpotentials

Cited by 3 publications

References 24 publications

Three-dimensional topological solitons in PT-symmetric optical lattices

Three-dimensional topological solitons in PT-symmetric optical lattices

Interference Phenomenon in the Wavepacket-Triangular Prism Collision in Fractional Schrodinger Equation

Localized structures of the (3+1)-dimensional nonlinear Schrödinger equation with different diffractions and power-law nonlinearities in PT-symmetric potentials

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