Related references
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Ying Han et al.
Summary: Pure-quartic solitons (PQSs) have gained increasing attention in recent years due to their potential for high energy. This research comprehensively and numerically investigates the impact of saturation power, small-signal gain, and output coupler on PQS dynamics in passively mode-locked fiber lasers. The results show that changing these parameters can make PQSs exhibit pulsating or creeping dynamics similar to traditional solitons. Additionally, introducing an intra-cavity filter combined with intra-cavity large fourth-order dispersion affects the PQS dynamics, leading to stationary, pulsating, and erupting behaviors.
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Summary: This study investigates pulses propagating in inhomogeneous nonlinear media with linear/nonlinear gain and loss described by the vector (2 + 1)-dimensional cubic-quintic Ginzburg-Landau equations (CQCGLEs). The evolution and stability of vector dissipative optical solitons generated from an elliptic input are studied. By using the variational approach, the influence of various physical parameters on the dynamics of the propagating signal and its relevant parameters is analyzed. The stability analysis is conducted by analyzing the total energy based on a suitable choice of the test function. Numerical results confirm the analytical prediction of the stability of the vector dissipative solitons.
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Pan Wang et al.
Summary: In this study, we theoretically investigate the dynamics of quartic solitons in fiber resonators with quartic dispersion and Kerr nonlinearity. The energy-duration scaling relationship is demonstrated in the negative quartic dispersion regime. In the positive quartic dispersion regime, dissipation-induced quartic soliton formation and remarkable pulse energy increase are achieved. Additionally, pattern formation dynamics in the quartic dispersion driving fiber resonators are explored.
OPTICS AND LASER TECHNOLOGY
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Kai-Li Geng et al.
Summary: In this paper, we obtain the nondegenerate one- and two-soliton solutions of the nonlocal nonlinear Schrodinger equation using the nonstandard Hirota method. We derive some novel interaction properties of parity-time-symmetric two-soliton solutions and reveal the characteristics of energy conservation and energy redistribution before and after the collision between nondegenerate solitons through detailed asymptotic analysis. We also propose an experimental scheme to observe nondegenerate solitons, providing potential applications for soliton interaction in the nonlocal wave model.
NONLINEAR DYNAMICS
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Yusheng Zhang et al.
Summary: This study investigates the generation of dissipative pure-quartic soliton resonance (DPQSR) in an Er-doped mode-locked fiber laser. The formation of DPQSR is found to depend on the reverse saturable absorption (RSA) effect. The impacts of pump power, RSA coefficient, and positive fourth-order dispersion on DPQSR pulse generation are studied. The research provides insights into DPQSR and the development of all positive fourth-order dispersion Er-doped fiber lasers, paving the way for highly stable, high-energy pulsed lasers.
OPTICS COMMUNICATIONS
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C. Martijn de Sterke et al.
Summary: This paper investigates the key differences and similarities between conventional optical solitons and novel solitons that balance nonlinearity with pure higher dispersion orders or combinations of different even orders of dispersion. Arguments for the existence of this infinite set of solitons are also presented.
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Song Yang et al.
Summary: In this study, the dynamical generation of dispersion-dependent pure-quartic solitons (PQS) molecules in a fiber laser is demonstrated through numerical simulations. The evolution from a single-pulse initial condition to different types of pulsating PQS molecules is observed, indicating quasi-periodical and periodical internal motion and energy exchange. The generation of these pulsating PQS molecules is found to be associated with a gain competition effect between the two sub pulses during mode-locking. A new method for transitioning between a loose PQS molecule and a tight PQS molecule is proposed. The numerical results suggest the existence of more internal motion within the PQS molecule, providing insights into its physical mechanism.
CHAOS SOLITONS & FRACTALS
(2023)
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Jiali Zeng et al.
Summary: This study theoretically investigated the interaction of pure-quartic solitons resulting from the balance between positive Kerr nonlinearity and negative quartic dispersion. By deriving the analytic expression of the interaction potential based on the Hamiltonian of the nonlinear Schrodinger equation, it is possible to predict the evolution of the interacting pure-quartic solitons based on the shape of the potential curve.
APPLIED MATHEMATICS LETTERS
(2022)
Article
Optics
Tristram J. Alexander et al.
Summary: We theoretically demonstrate the existence of stable dark solitons in the presence of quartic dispersion and the coexistence of quadratic and quartic dispersive effects, revealing a wider range of solutions and dynamics compared to pure quadratic dispersion. The interplay of the two dispersion orders leads to oscillatory non-vanishing tails and the potential formation of bound, stable multi-soliton states. Additionally, dark soliton-like states connecting to low-amplitude oscillations are shown to be possible. The stability picture is supported by dynamical evolution results, and potential avenues for dark soliton generation are explored.
Article
Optics
Ying Han et al.
Summary: This paper studied the effects of output ratio and small-signal gain on soliton pulsation in a carbon nanotube mode-locked fiber laser. The study observed various types of soliton pulsation, including those with Kelly sideband, soliton splitting, explosive-like behavior, and creeping vibrating behavior. These findings provide new insights into the complex nonlinear behavior of solitons in dissipative systems.
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Zi-Chen Qian et al.
Summary: In this study, the characteristics of dissipative pure-quartic soliton (DPQS) generation in a fiber laser were investigated. The experimental results demonstrate that DPQS features shape-preserving propagation with an asymmetrical temporal profile. The asymmetrical temporal profile of DPQS is caused by the mismatching of phase shift profiles resulting from self-phase modulation and fourth-order dispersion. Compared to conventional dissipative solitons, DPQS exhibits a higher energy-scaling ability.
Article
Optics
Ze-Xian Zhang et al.
Summary: This numerical investigation explores the pulsating dynamics of pure-quartic solitons (PQSs) in a passively mode-locked fiber laser. The results reveal that the PQS can alternate between stable single soliton and pulsating regimes multiple times, attributed to an imperfect counterbalance between self-phase modulation and fourth-order dispersion-induced phase shifts. Additionally, soliton creeping behavior and wavelength shifts are observed during the pulsating process.
Article
Optics
Xiaohui Li et al.
Summary: This paper presents an amazing exploration of the generation of dissipative soliton resonance (DSR) in an all-normal dispersion erbium-doped fiber laser based on a real saturable absorber. The study analyzes the principle of DSR and identifies the key role played by the reverse saturable absorption (RSA) effect of the saturable absorber (SA). The impacts of pump power, filter, and RSA coefficient on DSR pulse generation are investigated. Additionally, a novel soliton explosion phenomenon based on RSA in the DSR region is observed for the first time when the saturable power of SA is above 25 W and the modulation depth is above 50%. The findings contribute to a better understanding of DSR and its evolution in all-normal dispersion Er-doped fiber lasers, and also provide insights for realizing high stable and high energy pulsed lasers in the telecommunication region.
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Qin Zhou et al.
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CHAOS SOLITONS & FRACTALS
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Ru-Ru Wang et al.
Summary: This study investigates the dynamics of traditional and M-type soliton pulses in mode-locked fiber lasers based on the CSHE model with higher-order nonlinear effects. The results reveal the transmission characteristics under different conditions, such as the stability of M-type solitons compared to single solitons and the compensation of time-domain shift by the self-steepening effect.
OPTICS AND LASER TECHNOLOGY
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Zhiteng Wang et al.
Summary: This study investigates the impact of Raman scattering on pure quartic solitons in an optical fiber with quartic dispersion, presenting analytical expressions for Raman-induced frequency shifts and discussing the sensitivity of these shifts to pulse width. The findings provide valuable insights into the role of higher-order nonlinear effects on the propagation dynamics of PQSs.
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Jiaxin Dai et al.
Summary: This paper quantitatively studies the equilibrium bound state and the oscillating bound state of pure-quartic solitons (PQSs). By analyzing the Lagrangian of the system, the analytic expression of the effective interaction potential is obtained, which facilitates the prediction of the critical separation between interacting PQSs in the equilibrium bound state. Furthermore, the oscillation period of PQSs in the oscillating bound state is studied by drawing an analogy between the evolution of PQS pairs and the motion of a Newtonian particle in a potential well. The derived effective mass and force lead to a semi-analytic expression for the oscillation period. These results provide valuable insights into the evolution of interacting PQSs in the two types of bound states.
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Summary: This theoretical study investigated the vector properties of quartic solitons in a pure fourth-order-dispersion birefringent fiber and a quartic-dispersion-dominant mode-locked fiber laser. It was found that a vector quartic soliton in the birefringent fiber still preserves a Gaussian shape with some distinctions, and pulse shaping in the mode-locked laser cavity can facilitate the formation of Kelly sidebands and distortion of oscillatory tails. Dynamic evolutions of quartic group-velocity-locked and polarization-rotating vector solitons were shown to enrich the nonlinear community of VQSs.
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RESULTS IN PHYSICS
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Yutian Wang et al.
Summary: The research introduces a method using nonlinear Fourier transform to study solitons generated by fiber lasers, showing the ability to distinguish solitons from background signals in the nonlinear frequency domain. Results demonstrate that pure solitons can be extracted through NFT and INFT.
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Gang Wang et al.
Summary: The study shows that the reverse saturable absorption effect has different impacts on the properties of conventional and dissipative solitons, affecting their loss, peak power, and pulse energy. It is found that the effect restricts the maximum pulse energy and facilitates the formation of multiple solitons in the conventional solitons state, while increasing the maximum pulse energy and playing a key role in transforming the pulse states in the dissipative solitons state. This highlights the importance of rational use of the reverse saturable absorption effect in different mode-locked regimes.
OPTICS AND LASER TECHNOLOGY
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Yutian Wang et al.
Summary: The article discusses the relationship between pulses and solitons in fiber lasers, noting that solitons are products of Hamilton systems and their descriptions are approximate. Using the nonlinear Fourier transform (NFT), solitons can be separated from the continuous wave background, providing a new method for uncovering real soliton interactions in fiber lasers.
PHOTONICS RESEARCH
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C. Martijn de Sterke et al.
Summary: Solitons are wave packets that can propagate without changing shape by balancing nonlinear effects with the effects of dispersion. High-order dispersion has been shown to enrich the phenomenon of solitons and may lead to novel applications in photonics. This tutorial reviews exciting developments in this field, including pure-quartic solitons and their generalizations, covering theory, numerics, and experimental results.
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Justin Widjaja et al.
Summary: In this study, optical properties of pure-quartic solitons are examined. They are found to be stable solitons with complex phase structure and asymmetric spectrum, traveling at different speeds as members of a larger family arising from high orders of dispersion.
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