- 标题
- 摘要
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- 实验方案
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Darka??dark and brighta??dark solitons for a (2+1)-dimensional variable-coefficient nonlinear Schr??dinger system in a graded-index waveguide
摘要： In this letter, we study a (2 + 1)-dimensional variable-coefficient nonlinear Schr?dinger system, which describes an optical beam inside the two-dimensional graded-index waveguide with polarization effects. Through the Kadomtsev–Petviashvili hierarchy reduction, the N dark–dark soliton and N bright-dark soliton solutions in terms of the Gramian are obtained, where N is a positive integer. We analyze the interaction and propagation of the dark–dark solitons graphically. With the different values of the diffraction coefficient β(t), periodic-, cubic- and parabolic-shaped dark–dark solitons are derived. With the different values of the gain/loss coefficient γ(t), periodic- and arctangent-profile background waves are obtained. Moreover, we discuss the effects from the dimensionless beam width w(t), β(t) and γ(t) on the solitons and background waves: Shapes of the solitons are affected by w(t) and β(t), while profiles of the background waves are affected by w(t) and γ(t).
关键词： (2 + 1)-dimensional variable-coefficient nonlinear Schr?dinger system,bright–dark solitons,graded-index waveguide,dark–dark solitons,Kadomtsev–Petviashvili hierarchy reduction
更新于2025-09-23 15:19:57
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Real-time temporal-spectral analysis of complex dynamics involving multiple soliton states in a dual-wavelength passively mode-locked fiber ring laser
摘要： We present an experimental study of complex dissipative solitons dynamics in a passively mode-locked fiber ring laser. Recently, thanks to real-time spectroscopy techniques such as the dispersive Fourier transform (DFT), it has been possible to study the complex internal dynamics of soliton molecules. However, most of the works have been limited to the study of intermolecular or intramolecular dynamics involving a small number of solitons within a single compact soliton packet, to which the DFT technique applies naturally. In this work, we study the dynamics of complex arrangements of multiple solitons, extending the analysis to regimes where multiple soliton packets at different wavelengths coexist and interact in the cavity, probing simultaneously the internal dynamics of various short-lived soliton molecules, as well as the collective dynamics of the different soliton packets distributed in the cavity, all of which is made possible by simultaneous analysis in the temporal and spectral domains. This allows to relate temporal dynamics at different time scales, as well as temporal and spectral events. In particular, we report the experimental observation of the dynamics of the Kelly sidebands that flank the soliton spectra, and relate it to temporal and spectral events such as extinctions of soliton packets with pulsating amplitude, spectral narrowing, and with energy fluctuations.
关键词： dissipative solitons,Kelly sidebands,mode-locked fibre laser,soliton molecules
更新于2025-09-23 15:19:57
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Ultrafast mode-locked fiber laser with Zirconium disulfide on D-shaped Fiber
摘要： Transition-metal dichalcogenides (TMDs), as highly anisotropic layered compounds, have attracted increasing interest from basic research to practical applications. Among them, zirconium disulfide (ZrS2) with remarkable physical properties has been widely investigated recently. Here, ZrS2 employed as a saturable absorber is utilized in an Er-doped fiber laser. A stable mode-locking operation is achieved, with central wavelength of ~1559.5 nm, 3 dB bandwidth of ~1.72 nm, and pulse duration of ~1.75 ps. As far as we know, our work demonstrates for the first time that ZrS2 can be applied to realize ultrafast laser pulses.
关键词： Mode-locked,Laser.,Solitons
更新于2025-09-23 15:19:57
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Optical solitons of the paraxial wave dynamical model in kerr media and its applications in nonlinear optics
摘要： The solitons and other solutions illustrate nondiffractive and nondispersive spatio-temporal localized packets of wave propagating in the media of optical Kerr. In this paper, solitons, elliptic function and other solutions of dimensionless time-dependent paraxial wave model are constructed via employing three mathematical techniques, namely, the improved simple equation technique, exp(?Φ(ζ))-expansion technique and modified extended direct algebraic technique. These wave solutions have key applications and help to understand the physical phenomena of this wave model. By giving appropriate parameter values, different types of solitons structures can be depicted graphically. Several precise solutions and computations have proved the straightforwardness, consistency and power of the these techniques.
关键词： Exp(?Φ(ξ))-expansion method,solitons,Improved simple equation method,elliptic and periodic solutions,paraxial wave model,modified extended direct algebraic method
更新于2025-09-23 15:19:57
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Sub-200-kHz single soliton generation in a long ring Er-fiber laser with strict polarization control by using twisted fiber
摘要： In the present work we demonstrate a novel single-soliton ultra-low pulse repetition frequency passively mode-locked erbium-doped fiber laser. We mitigate the residual linear birefringence of fiber by fiber twist to achieve a strict control of polarization. For mode-locking the nonlinear polarization rotation (NPR) was used. Special technique was applied to reduce the overdriving of NPR that allows the generation of single soliton in ultra-long cavity. The strict control of polarization yields a stable relation between the polarization state of the pulses propagating in the cavity and the regimes of generation. A 192.12-kHz train of soliton pulses was obtained with pulse duration of 4.7 ps at 1560.1 nm, the average power was 29 μW and the estimated peak power was ? 30.8 W with an energy of 150.9 pJ.
关键词： Ultra-long laser cavity,Solitons,Nonlinear optics,Overdriving nonlinear effects,Mode-locked fiber lasers
更新于2025-09-23 15:19:57
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Periodic soliton interactions for higher-order nonlinear Schr??dinger equation in optical fibers
摘要： Research on the interactions between optical solitons is of great significance for the large capacity and long distance transmission in optical fibers. In this paper, interactions between periodic solitons are investigated for the first time. Analytic solution for the high-order nonlinear Schr?dinger equation, which can be used to describe the periodic soliton transmission, is obtained based on the bilinear method. Interaction characteristics between periodic solitons are discussed. Influences of corresponding dispersion and nonlinear effects on their interactions are analyzed. Results provide theoretical guidance for the stable transmission of periodic solitons in inhomogeneous optical fibers.
关键词： Solitons,Nonlinear Schr?dinger equation,Inhomogeneous optical fiber,Soliton interaction
更新于2025-09-23 15:19:57
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Observation of edge solitons in photonic graphene
摘要： Edge states emerge in diverse areas of science, offering promising opportunities for the development of future electronic or optoelectronic devices, sound and light propagation control in acoustics and photonics. Previous experiments on edge states in photonics were carried out mostly in linear regimes, but the current belief is that nonlinearity introduces more striking features into physics of edge states, leading to the formation of edge solitons, optical isolation, making possible stable lasing in such states, to name a few. Here we report the observation of edge solitons at the zigzag edge of a reconfigurable photonic graphene lattice created via the effect of electromagnetically induced transparency in an atomic vapor cell with controllable nonlinearity. To obtain edge solitons, Raman gain is introduced to compensate strong absorption experienced by the edge state during propagation. Our observations may open the way for future experimental exploration of topological photonics on this nonlinear, reconfigurable platform.
关键词： topological photonics,nonlinearity,Raman gain,edge solitons,photonic graphene
更新于2025-09-23 15:19:57
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Dark, singular and straddled optical solitons in birefringent fibers with generalized antia??cubic nonlinearity
摘要： This paper enumerates optical soliton solutions in birefringent fibers having generalized form of anti–cubic law of refractive index. The unified Riccati equation expansion yields dark, singular as well as solitons that are straddled between dark and singular ones. A few additional solutions emerge from the integration scheme as a byproduct.
关键词： Birefringence,Solitons,Generalized anti–cubic
更新于2025-09-23 15:19:57
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Excitation conditions of several fundamental nonlinear waves on continuous-wave background
摘要： We study the excitation conditions of antidark solitons and nonrational W-shaped solitons in a nonlinear fiber with both third-order and fourth-order effects. We show that the relative phase can be used to distinguish antidark solitons and nonrational W-shaped solitons. The excitation conditions of these well-known fundamental nonlinear waves (on a continuous-wave background) can be clarified clearly by the relative phase and three previously reported parameters (background frequency, perturbation frequency, and perturbation energy). Moreover, the numerical simulations from the nonideal initial states also support these theoretical results. These results provide an important complement for the studies on relationship between modulation instability and nonlinear wave excitations, and are helpful for controllable nonlinear excitations in experiments.
关键词： nonlinear fiber,relative phase,nonrational W-shaped solitons,antidark solitons,excitation conditions,fourth-order effects,modulation instability,third-order effects
更新于2025-09-19 17:15:36
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Vortex solitons in Bose–Einstein condensates with spin–orbit coupling and Gaussian optical lattices
摘要： We investigate the generation and stability of three-dimensional (3D) solitons in binary atomic Bose–Einstein condensates with spin–orbit coupling (SOC) and Super-Gaussian optical lattices. We examine the stability of 3D solitons using their norm and energy. The evolution of solitons is made more stable and their resistance to collapse more robust by the introduction of Gaussian lattices. Depending on the relative strength of SOC, the nonlinearity modulation parameter, and the lattice parameters, we observe stable solitons of the semi-vortex and mixed-mode type. In addition, we demonstrate the robustness of solitons in propagation and collisions.
关键词： Spin–orbit coupling,Gaussian lattices,Bose–Einstein condensates,Vortex solitons
更新于2025-09-19 17:15:36