Asymmetric localized states at a nonlinear interface of fractional systems with optical lattices

Zhou, Shu Qing; Zeng, Jianhua; Qin, Yali

doi:10.3389/fphy.2022.1116344

Cited by 3 publications

(1 citation statement)

References 53 publications

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“…The dynamics of other beams, such as super-Gaussian beam [22], Lommel Gaussian beam [23], Pearcey-Gaussian beam [24] in linear and nonlinear fractional systems have also been investigated. Meanwhile, the existence and robustness of diverse soliton states, such as ghost states [25], double gray solitons [26], asymmetric localized states [27] in fractional nonlinear system, are extensively discussed. However, up to date, the diffraction behavior of beams in fractional system with PT-symmetric nonlocal nonlinearity has been little studied.…”

Section: Introductionmentioning

confidence: 99%

Abrupt focus and bright spot formation in fractional system with PT-symmetric nonlocal nonlinearity

Bai,

Yang,

Chen

et al. 2024

Phys. Scr.

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We study the dynamics of Gaussian beams in fractional system with PT-symmetric nonlocal nonlinearity. It is found that the Gaussian beam with transverse displacement can abruptly focus to form bright spot in one sub-branch after experiencing a symmetric split, depending on the nonlinear intensity, initial launched amplitude, angle and chirp of the beam, and the initial chirp can shift the time of abrupt focus and bright spot formation. Furthermore, the Talbot-like effect and breather train are explored by setting the initial amplitude parameter of every component of an initial Gaussian beam train. Moreover, for longitudinally periodically modulated nonlinearity, the bright spots can be formed periodically and asymmetrically in two sub-branches for a single Gaussian beam, and Moiré-like lattices can be generated for a Gaussian beam train. Finally, the conical diffraction and crescent-like evolution in the two-dimensional system are investigated in detail. It is found that the direction of crescent-like evolution is determined by the initial launched angles, which may be an inspiration to design channel path through choosing suitable initial launched angles at will.

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Section: Introductionmentioning

confidence: 99%

Abrupt focus and bright spot formation in fractional system with PT-symmetric nonlocal nonlinearity

Bai,

Yang,

Chen

et al. 2024

Phys. Scr.

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分数衍射系统中部分pt对称孤子的对称破缺

Zhai Yuanbo,

Li Rujiang,

Li Pengfei

2024

光学学报

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Objective Fractional diffraction effects and various novel phenomena produced by paritytime (PT) symmetric optics systems have become research hotspots in the field of optics. A large amount of theoretical research has proven the existence of the optical soliton in the fractional nonlinear Schrödinger equation containing PTsymmetric potentials.However, the existence, stability, and dynamics of partially PTsymmetric solitons in non -Hermitian nonlinear optical waveguides with fractional diffraction effect have not been explored yet. The phenomenon and mechanism of spontaneous symmetry breaking of the partially PTsymmetric solitons are still unclear. Meanwhile, the obtained research results provide new insights into the propagation and controlling of the partially PTsymmetric solitons in the non -Hermitian nonlinear optical waveguides with fractional diffraction.Methods We numerically solve partially PTsymmetric soliton solutions and asymmetric solutions. Specifically, the accelerated imaginary time evolution method is used to solve the stationary fractional nonlinear Schrödinger equation. Two types of solutions are obtained. The first type is the partially PTsymmetric solitons with real propagation constants, and the second is the asymmetric solutions with complex propagation constants. Then, the solutions of the perturbation are linearized through linear stability analysis, and the eigenvalue problem of the perturbation modes is transformed into the spectral space by using the Fourier collocation method. The spectrum of the eigenvalue problem of the perturbation modes is numerically solved. The propagations of the partially PTsymmetric solitons and the asymmetric solutions are numerically simulated using the splitstep Fourier method. Finally, the obtained results are compared with the results of linear stability analysis.Results and Discussions First, two types of solutions are confirmed to exist in the fractional nonlinear Schrödinger equation with the partially PTsymmetric potential. The first type of solution is the partially PTsymmetric solitons with real propagation constants, and the second type of solution is the asymmetric solutions with complex propagation constants. The results are shown in Fig. 2 and Fig. 3, respectively. Then, the critical power of the symmetry breaking bifurcation point of the partially PTsymmetric solitons is numerically determined and verified with the linear stability

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Localized structures in optical media and Bose-Einstein condensates: an overview of recent theoretical and experimental results

DUMITRU

2024

Rom. Rep. Phys.

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A survey of recent theoretical and experimental studies on localized structures that form and propagate in a broad class of optical and matter-wave media is presented. The article is structured as a resource paper that overviews a large series of theoretical and experimental results obtained in diverse research areas: linear and nonlinear optical waveforms, nonlinear surface waves, ultrashort few-cycle optical pulses, localized structures in fractional systems, rogue (freak) waves, and matter-wave localized states.

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Asymmetric localized states at a nonlinear interface of fractional systems with optical lattices

Cited by 3 publications

References 53 publications

Abrupt focus and bright spot formation in fractional system with PT-symmetric nonlocal nonlinearity

Abrupt focus and bright spot formation in fractional system with PT-symmetric nonlocal nonlinearity

分数衍射系统中部分pt对称孤子的对称破缺

Localized structures in optical media and Bose-Einstein condensates: an overview of recent theoretical and experimental results

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