Chaos Solitons & Fractals最新文献_第9页

Generation of period doubled solitons from a mode-locked fluoride fiber laser 锁模氟化物光纤激光器产生双倍周期孤子

IF 5.6 1区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Chaos Solitons & Fractals

Pub Date : 2026-01-27 DOI: 10.1016/j.chaos.2026.117923

Hang Ren , Ying Yang , Yu Jiang , He Cao , Jiachen Wang , Fanlong Dong , Geguo Du , Junle Qu , Xueming Liu , Tengfei Wu , Shuangchen Ruan , Chunyu Guo

Period doubling bifurcation (PDB), a universal phenomenon in nonlinear systems, provides a unique perspective for understanding the properties of nonlinear systems, possessing potential important applications. Although it has been intensively investigated in the near-infrared (NIR) spectral region, there are no relevant reports in the mid-infrared (MIR) spectral region. Here, by combined use of numerical analysis and experimental demonstration, the phenomenon of PDB from a fluoride fiber oscillator mode-locked by the nonlinear polarization evolution (NPE) technique is reported for the first time, to the best of our knowledge. In the numerical simulations, the phenomenon of PDB at 2.8 μm is unveiled and analyzed by solving the extended coupled nonlinear Schrödinger equations, in which the pump strength and polarization state are found to play a vital role. A soliton regime with a pulse duration of 309 fs, a repetition rate of 67.16 MHz and an average output power of 63 mW is experimentally achieved, presenting uniform pulse intensity. Based on the simulations, through improving the pump strength, a stable soliton pulse train with the period-doubled state is obtained. This work promotes the development of mid-infrared ultrafast fiber lasers, opening up new opportunities for the MIR optical frequency comb and weak signal detection.

周期加倍分岔（PDB）是非线性系统中的一种普遍现象，为理解非线性系统的性质提供了一个独特的视角，具有潜在的重要应用价值。虽然在近红外（NIR）光谱区域已经有了大量的研究，但在中红外（MIR）光谱区域还没有相关的报道。本文采用数值分析和实验论证相结合的方法，首次报道了非线性极化演化（NPE）技术锁模氟化光纤振荡器的PDB现象。在数值模拟中，通过求解扩展耦合非线性Schrödinger方程，揭示并分析了2.8 μm处的PDB现象，发现泵浦强度和极化状态在其中起着至关重要的作用。实验得到脉冲持续时间为309 fs，重复频率为67.16 MHz，平均输出功率为63 mW，脉冲强度均匀的孤子区。仿真结果表明，通过提高泵浦强度，获得了稳定的倍周期孤子脉冲串。这项工作促进了中红外超快光纤激光器的发展，为MIR光频梳和微弱信号检测开辟了新的机遇。

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引用次数: 0

Numerical study of high-energy dissipative soliton generation in a 2.8μm mid-infrared ultrafast fiber laser 高能耗散孤子产生的数值研究。8 μ m中红外超快光纤激光器

IF 5.6 1区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Chaos Solitons & Fractals

Pub Date : 2026-01-27 DOI: 10.1016/j.chaos.2026.117988

Yuhe Dong , Wentao Liang , Xusheng Xiao , Yang Xiao , Wentao He , Shimin Chen , Lihe Yan , Chaoran Wang , Haitao Guo

Mid-infrared mode-locked fiber lasers are highly desirable for advanced applications but face limitations in scaling pulse energy. This work presents a theoretical demonstration of a high-energy laser design that employs an As

_{2}

S

_{3}

fiber for integrated dispersion and nonlinearity management in an Er

^{3 +}

:ZBLAN fiber laser. The exceptional properties of As

_{2}

S

_{3}

fiber, including its large normal dispersion and high nonlinearity, are leveraged for precise cavity control. Through numerical simulations and parameter exploration, a net normal dispersion cavity is engineered to support dissipative soliton operation. The proposed design enables stable dissipative soliton generation at

2.8 μ m

, delivering a calculated pulse energy of 528.49 nJ and a dechirped pulse width of 380.15 fs. Furthermore, our model predicts, for the first time, the existence of a noise-like pulse regime in the mid-infrared spectrum under net normal dispersion conditions. This theoretical study establishes the As

_{2}

S

_{3}

fiber as a versatile component for exploring high-energy ultrafast dynamics and providing insight into the dynamics of high-energy mid-infrared pulses.

中红外锁模光纤激光器在高级应用中是非常理想的，但在缩放脉冲能量方面面临限制。本文从理论上论证了在Er3+:ZBLAN光纤激光器中采用As2S3光纤进行综合色散和非线性管理的高能激光器设计。As2S3光纤的特殊特性，包括其大的正向色散和高非线性，可用于精确的腔控制。通过数值模拟和参数探索，设计了一个支持耗散孤子工作的净正交色散腔。该设计能够在2.8μm处产生稳定的耗散孤子，计算脉冲能量为528.49 nJ，解码脉冲宽度为380.15 fs。此外，我们的模型首次预测了在净正色散条件下中红外光谱中存在类噪声脉冲区。该理论研究确立了As2S3光纤作为探索高能超快动力学和深入了解高能中红外脉冲动力学的通用组件。

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引用次数: 0

Propagation dynamics and optical manipulation of perfect self-similar Bessel beams in linear and nonlinear regimes 线性和非线性条件下完美自相似贝塞尔光束的传播动力学和光学操纵

IF 5.6 1区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Chaos Solitons & Fractals

Pub Date : 2026-01-24 DOI: 10.1016/j.chaos.2026.117939

Nan Wang , Xiaoying Tang , Shunyu Liu , Lu Tian , Yu-Xuan Ren , Yi Liang

Non-diffracting beams are a special type of optical field that can resist diffraction and maintain a constant transverse profile during propagation. Self-similar beams, on the other hand, are a special type of optical field that maintains the shape of the transverse intensity profile but scales in size during propagation. Although they are not the same, perfect self-similar Bessel beams (PSBBs) as an intermediate mode between non-diffracting beams and self-similar beams, maintain a strictly self-similar transverse profile and constant intensity during propagation. Here, we start from the linear propagation dynamics of PSBBs, and the nonlinear self-focusing in a biased photorefractive strontium-barium niobate (SBN) crystal, and demonstrate the optical manipulation of Rayleigh particles with PSBBs. The power flow, trapping force, and torque of PSBBs all decrease with the propagation distance, while the orbital angular momentum (OAM) and corresponding angular momentum density (AMD) remain constant during propagation. In a nonlinear medium, the intensity of the beam shows an alternating multi-foci along the propagation direction, characterized by periodic local enhancement and broadening. The attenuation rate of the trapping force is fast and the propagation stability is much lower than that in the linear case. Our work not only reveals the unique properties of PSBBs but also has significant implications for in-depth understanding of the optical field control in nonlinear media and the construction of advanced photonic devices.

非衍射光束是一种特殊类型的光场，它可以抵抗衍射并在传播过程中保持恒定的横向轮廓。另一方面，自相似光束是一种特殊类型的光场，它保持横向强度轮廓的形状，但在传播过程中尺寸会缩小。完美自相似贝塞尔光束（PSBBs）作为介于非衍射光束和自相似光束之间的中间模式，在传播过程中保持严格自相似的横向轮廓和恒定的强度。本文从PSBBs的线性传播动力学和偏光折变铌酸锶钡（SBN）晶体的非线性自聚焦出发，论证了PSBBs对瑞利粒子的光学操纵。PSBBs的功率流、俘获力和转矩随传播距离的增加而减小，而轨道角动量（OAM）和相应的角动量密度（AMD）在传播过程中保持不变。在非线性介质中，光束的强度沿传播方向呈交变多焦，具有周期性局部增强和展宽的特征。捕获力衰减速度快，传播稳定性远低于线性情况。我们的工作不仅揭示了PSBBs的独特性质，而且对深入理解非线性介质中的光场控制和构建先进的光子器件具有重要意义。

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引用次数: 0

gPC-based robustness analysis of neural systems through probabilistic recurrence metrics 基于gpc的神经系统概率递归鲁棒性分析

IF 5.6 1区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Chaos Solitons & Fractals

Pub Date : 2026-01-24 DOI: 10.1016/j.chaos.2026.117949

Uros Sutulovic , Daniele Proverbio , Rami Katz , Giulia Giordano

Neuronal systems often preserve their characteristic functions and signalling patterns, also referred to as regimes, despite parametric uncertainties and variations. For neural models having uncertain parameters with a known probability distribution, probabilistic robustness analysis (PRA) allows us to understand and quantify under which uncertainty conditions a regime is preserved in expectation. We introduce a new computational framework for the efficient and systematic PRA of dynamical systems in neuroscience and we show its efficacy in analysing well-known neural models that exhibit multiple dynamical regimes: the Hindmarsh–Rose model for single neurons and the Jansen–Rit model for cortical columns. Given a model subject to parametric uncertainty, we employ generalised polynomial chaos to derive mean neural activity signals, which are then used to assess the amount of parametric uncertainty that the system can withstand while preserving the current regime, thereby quantifying the regime’s robustness to such uncertainty. To assess persistence of regimes, we propose new metrics, which we apply to recurrence plots obtained from the mean neural activity signals. The overall result is a novel, general computational methodology that combines recurrence plot analysis and systematic persistence analysis to assess how much the uncertain model parameters can vary, with respect to their nominal value, while preserving the nominal regimes in expectation. We summarise the PRA results through probabilistic regime preservation (PRP) plots, which capture the effect of parametric uncertainties on the robustness of dynamical regimes in the considered models.

尽管参数不确定和变化，神经系统通常保持其特征功能和信号模式，也称为体制。对于具有已知概率分布的不确定参数的神经模型，概率鲁棒性分析（PRA）使我们能够理解和量化在哪些不确定性条件下，一个状态保持在期望中。我们为神经科学中动态系统的高效和系统PRA引入了一个新的计算框架，并展示了它在分析具有多种动态机制的知名神经模型方面的有效性：单个神经元的Hindmarsh-Rose模型和皮质柱的Jansen-Rit模型。给定一个受参数不确定性影响的模型，我们采用广义多项式混沌来推导平均神经活动信号，然后使用这些信号来评估系统在保持当前状态的同时可以承受的参数不确定性的数量，从而量化该状态对这种不确定性的鲁棒性。为了评估制度的持久性，我们提出了新的指标，我们将其应用于从平均神经活动信号获得的递归图。总体结果是一种新颖的、通用的计算方法，它结合了递归图分析和系统持久性分析，以评估不确定模型参数相对于其名义值可以变化多少，同时保留期望中的名义制度。我们通过概率状态保存（PRP）图总结了PRA结果，PRP图捕获了参数不确定性对所考虑模型中动态状态鲁棒性的影响。

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引用次数: 0

The dynamics of higher-order contagion on structurally diverse networks 结构多样化网络上的高阶传染动力学

IF 5.6 1区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Chaos Solitons & Fractals

Pub Date : 2026-01-24 DOI: 10.1016/j.chaos.2026.117950

Yi Wang , Ying Liu , Shuguang Guan , Yi-Cheng Zhang , Ming Tang

Modern individuals typically participate in multiple distinct social groups, characterizing the structural diversity of their social environment. Empirical observations suggest that individuals are more likely to adopt new ideas when these ideas are validated by multiple distinct groups. Our work shifts the focus from traditional, individual-based higher-order interactions to a novel group-based mechanism, which is determined by the structure of the entire group surrounding a node. We define the structural diversity coefficient based on the number of connected components in the node’s neighborhood, and propose a novel social contagion model that incorporates higher-order effect based on structural diversity. We develop both homogeneous mean-field method and dynamic message passing approach to analyze key dynamical properties and extensive numerical simulations validate the accuracy of the theoretical analyses. The results demonstrate that the introduction of group-based higher-order effect converts the system’s phase transition from continuous to discontinuous. Strengthening higher-order effect leaves the forward threshold unchanged while lowering the backward threshold. Moreover, when only higher-order effect is present, the system exhibits bistability and first-order transition with respect to the higher-order interaction strength, whereas the system exhibits no forward threshold. Our work generalizes the concept of higher-order networks to propose a unified framework for understanding group-based higher-order structures and their associated dynamics.

现代个体通常参与多个不同的社会群体，这体现了其社会环境的结构多样性。经验观察表明，当新想法得到多个不同群体的验证时，个人更有可能接受这些新想法。我们的工作将焦点从传统的、基于个体的高阶交互转移到一种新的基于群体的机制，这是由节点周围的整个群体的结构决定的。我们基于节点的邻域连接组件数定义了结构多样性系数，并提出了一种基于结构多样性的高阶效应社会传染模型。采用齐次平均场法和动态消息传递法分析了系统的关键动力学特性，并进行了大量的数值模拟，验证了理论分析的准确性。结果表明，基于群的高阶效应的引入使系统的相变由连续转变为不连续。增强高阶效应后，前向阈值不变，后向阈值降低。此外，当仅存在高阶效应时，系统相对于高阶相互作用强度表现出双稳定性和一阶跃迁，而系统不表现出前向阈值。我们的工作概括了高阶网络的概念，提出了一个统一的框架来理解基于群体的高阶结构及其相关动力学。

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引用次数: 0

Soliton structures, modulational instability, and chaotic dynamics of the coupled Schrödinger–Boussinesq equation 孤子结构，调制不稳定性，以及耦合Schrödinger-Boussinesq方程的混沌动力学

IF 5.6 1区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Chaos Solitons & Fractals

Pub Date : 2026-01-24 DOI: 10.1016/j.chaos.2026.117969

Ahmed H. Arnous , Kamyar Hosseini , Muhammad Amin S. Murad , Sachin Kumar

We investigate the coupled Schrödinger–Boussinesq (SB) system, a nonlinear model describing resonant interactions between short- and long-wave components in optics, plasma physics, and fluid mechanics. Using a traveling-wave reduction, we transform the governing PDEs into a canonical nonlinear ODE and derive a broad family of exact solutions, including solitary and singular solitons, finite-background localized states, and Jacobi elliptic periodic waves. We analyze the modulational instability of continuous-wave states, identifying parameter regimes where uniform wave trains destabilize into localized excitations and elucidating the interplay between dispersion, coupling, and nonlinearity. Recasting the reduced dynamics in phase space, we classify equilibria, phase portraits, and connecting orbits, thereby characterizing the conditions for solitary and periodic patterns. With weak external periodic forcing, we apply the Melnikov method to derive explicit thresholds for homoclinic orbit splitting and rigorously predict the onset of chaos. Together, these results establish a unified analytical framework connecting soliton formation, modulational instability, and chaotic dynamics in the SB system, thereby advancing the broader understanding of nonlinear wave phenomena in multiscale physical media.

我们研究了耦合Schrödinger-Boussinesq （SB）系统，这是光学、等离子体物理和流体力学中描述短波和长波分量之间共振相互作用的非线性模型。利用行波约简，我们将控制偏微分方程转化为正则非线性偏微分方程，并推导出一系列精确解，包括孤孤子和奇异孤子、有限背景局域态和Jacobi椭圆周期波。我们分析了连续波状态的调制不稳定性，确定了均匀波序列不稳定为局部激励的参数制度，并阐明了色散，耦合和非线性之间的相互作用。在相空间中重铸简化动力学，我们对平衡、相肖像和连接轨道进行了分类，从而表征了孤立模式和周期模式的条件。在弱周期外强迫条件下，应用Melnikov方法导出了同斜轨道分裂的显式阈值，并对混沌的发生进行了严格的预测。总之，这些结果建立了一个统一的分析框架，将SB系统中的孤子形成、调制不稳定性和混沌动力学联系起来，从而促进了对多尺度物理介质中非线性波现象的更广泛理解。

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引用次数: 0

Dynamical analysis of a fractional discrete-time Chua’s circuit system 分数阶离散时间蔡氏电路系统的动力学分析

IF 5.6 1区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Chaos Solitons & Fractals

Pub Date : 2026-01-23 DOI: 10.1016/j.chaos.2026.117983

Wenping Wang, Huanying Xu

In this paper, a fractional discrete Chua’s system exhibiting both chaotic and hyperchaotic behaviors is proposed. Stability analysis is conducted for both commensurate and incommensurate fractional orders at equilibrium points, supported by numerical calculations and simulations. The critical point of Hopf bifurcation is determined for commensurate orders. To understand how order asymmetry influences the dynamic complexity of a fractional system, a principle named Synchronous Order Maximum Entropy Theorem is proposed. The study focuses on diverse attractors, including quasi-periodic, chaotic, periodic, and hyperchaotic types, as well as the coexistence of multiple attractors under specific parameter settings. Notably, the system demonstrates the coexistence of offset-boosted and initial-switched boosting behaviors, which are rarely observed in discrete systems. Furthermore, synchronization of the fractional discrete Chua’s system is achieved. The results demonstrate that the proposed fractional discrete Chua’s system exhibits remarkably rich and complex dynamical characteristics. Finally, an image encryption application based on this system is presented to illustrate its practical potential.

本文提出了一个具有混沌和超混沌行为的分数阶离散蔡氏系统。在数值计算和模拟的支持下，对平衡点上的相称阶和不相称阶进行了稳定性分析。确定了相应阶数下Hopf分岔的临界点。为了理解顺序不对称对分数系统动态复杂性的影响，提出了同步顺序最大熵定理。重点研究了拟周期型、混沌型、周期型和超混沌型吸引子的多样性，以及特定参数设置下多个吸引子的共存。值得注意的是，该系统显示了在离散系统中很少观察到的偏移升压和初始开关升压行为的共存。此外，还实现了分数阶离散蔡氏系统的同步。结果表明，所提出的分数阶离散蔡氏系统具有丰富而复杂的动力学特性。最后，给出了一个基于该系统的图像加密应用，以说明其实际应用潜力。

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引用次数: 0

Traveling wave solutions of the doubly regularized nonlinear Boussinesq equation 双正则非线性Boussinesq方程的行波解

IF 5.6 1区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Chaos Solitons & Fractals

Pub Date : 2026-01-23 DOI: 10.1016/j.chaos.2026.117967

H.A. Erbay, S. Erbay

In this study we consider traveling wave solutions of a nonlinear dispersive wave equation involving the fourth-order time derivative term. We first discuss existence of traveling wave solutions to the dispersive wave equation with a quadratic nonlinearity and report sech-type solitary wave solutions. Using asymptotic expansion techniques we derive the well-known unidirectional nonlinear dispersive wave equations for small amplitude waves. The KdV equation models the propagation of long acoustic waves, while the NLS equation models the evolution of the envelope of short optic waves. We also show that when a long-wave–short-wave resonance condition is satisfied, a coupled system of equations describes the nonlinear interaction between long acoustic waves and short optic waves. We study traveling wave solutions of the asymptotic models derived to assess the relative importance of nonlocality in time with respect to nonlocality in space.

本文研究了含四阶时间导数项的非线性色散波动方程的行波解。首先讨论了二阶非线性色散波方程行波解的存在性，并报道了一类孤立波解。利用渐近展开技术导出了众所周知的小振幅波的单向非线性色散波动方程。KdV方程模拟了长声波的传播，NLS方程模拟了短光波包络的演化。当满足长波-短波共振条件时，长声波与短光波之间的非线性相互作用可以用一个耦合方程组来描述。我们研究渐近模型的行波解，以评估时间上的非定域性相对于空间上的非定域性的相对重要性。

引用次数: 0

Ultra-complex 5D cubic–trigonometric memristive hyperchaos featuring phase-space folding, fractal basins and high-entropy PRNG 具有相空间折叠、分形盆地和高熵PRNG特征的超复杂5D三三角记忆超混沌

IF 5.6 1区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Chaos Solitons & Fractals

Pub Date : 2026-01-23 DOI: 10.1016/j.chaos.2026.117974

Karim H. Moussa , Ahmed M. Mohy Elden , Amira I. Zaki , Mohamed E. Khedr

This study presents a novel five-dimensional cubic–trigonometric memristive hyperchaotic system (5D-CTMHS) that exhibits dynamical complexity through the integration of flux-controlled memristive feedback, cubic nonlinearities, and trigonometric functions. The system generates hidden attractors and demonstrates two positive Lyapunov exponents (LEs), resulting in a Kaplan–Yorke dimension of

D_{K Y} \approx 4

, achieving dynamical complexity. Bifurcation analysis reveals dense chaotic regimes and an early onset of chaos, while multistability analysis confirms the coexistence of over 140 distinct chaotic attractors, manifesting as a shattered phase space. The basin of attraction exhibits fractal boundaries with a box-counting dimension of

D \approx 1.75

and a basin entropy of

H \approx 5.19

bits, quantifying the high unpredictability and the system’s intricate structure. High-quality pseudorandom number generators (PRNGs) are fundamental primitives for robust encryption and authentication, where statistical fidelity and unpredictability are prerequisites for security. Two sequences of PRNGs are designed using the system’s state trajectories. The generated 640K-bit sequences pass all NIST SP 800-22 tests, all DIEHARD tests, and the TestU01 Crush battery with zero failures, demonstrating exceptional statistical randomness. The PRNG achieves an information entropy of 7.9998 bits, a key space of

2^{684}

, and a Hamming distance of 49.98%, with key sensitivity to the initial conditions confirmed at perturbations as

1 0^{- 16}

. These results represent an increase in chaotic complexity and an improvement in entropy over existing methods, demonstrating that the proposed PRNG provides the necessary statistical robustness to resist differential and brute-force attacks when integrated into cryptographic schemes.

本研究提出了一种新型的五维三三角忆阻超混沌系统（5D-CTMHS），该系统通过集成磁控忆阻反馈、三次非线性和三角函数表现出动态复杂性。该系统产生了隐藏吸引子，并证明了两个正Lyapunov指数（LEs），从而得到了DKY≈4的Kaplan-Yorke维数，实现了动态复杂性。分岔分析揭示了密集混沌状态和混沌的早期发作，而多稳定性分析证实了140多个不同的混沌吸引子共存，表现为破碎的相空间。吸引力盆地呈现分形边界，盒计数维数D≈1.75，盆地熵H≈5.19 bits，量化了系统的高不可预测性和复杂结构。高质量的伪随机数生成器（prng）是健壮的加密和身份验证的基本基元，其中统计保真度和不可预测性是安全性的先决条件。利用系统的状态轨迹设计了两个prng序列。生成的640k位序列通过了所有NIST SP 800-22测试、所有DIEHARD测试和TestU01 Crush电池的零故障测试，显示出卓越的统计随机性。该PRNG的信息熵为7.9998比特，密钥空间为2684，汉明距离为49.98%，在扰动条件下对初始条件的密钥灵敏度为10−16。这些结果表明，与现有方法相比，混沌复杂性有所增加，熵有所改善，表明所提出的PRNG在集成到密码方案时提供了必要的统计鲁棒性，以抵抗差分和暴力攻击。

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引用次数: 0

Flexible manipulation of longitudinal polarization vortices by superposed cylindrical vector optical field 利用叠加圆柱矢量光场灵活操纵纵向极化涡

IF 5.6 1区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Chaos Solitons & Fractals

Pub Date : 2026-01-23 DOI: 10.1016/j.chaos.2026.117952

Xu-Zhen Gao, Jia Ai, Hong-Teng Xu, Hui-Ru Liu, Jing-Rui Chen, Guo-Dong Tan, Yue Pan

Photonic orbital angular momentum (OAM) carried by optical vortex has emerged as a fundamental degree of freedom in modern optics, revolutionizing applications from high-capacity communications to quantum information processing. Recently, the manipulation of novel optical vortices has attracted widespread attention and found numerous applications. Here, we demonstrate a kind of superposed cylindrical vector optical field (SC-VOF), and achieve flexible manipulated longitudinal polarization vortices in focal plane. By selecting different parameters of the SC-VOF, the one-, two-, and three-dimensional longitudinal polarization vortices are generated, and the topological charge and photonic OAM can be flexibly manipulated. The flexible manipulation of longitudinal polarization vortices, featuring arbitrary topological charges and controllable photonic OAM, enables a wide range of cutting-edge applications, including high-resolution fluorescent imaging, enhanced Raman spectroscopy, and advanced optical tweezers in both scientific research and industrial technologies.

光学涡旋携带的光子轨道角动量（OAM）已经成为现代光学中的一个基本自由度，从大容量通信到量子信息处理的应用都发生了革命性的变化。近年来，新型光学涡旋的操纵引起了广泛的关注，并得到了广泛的应用。在这里，我们展示了一种叠加圆柱矢量光场（SC-VOF），并在焦平面上实现了柔性可操纵的纵向极化涡。通过选择不同的SC-VOF参数，可以产生一维、二维和三维纵向极化涡，并可以灵活地控制拓扑电荷和光子OAM。纵向极化涡旋的灵活操作，具有任意拓扑电荷和可控光子OAM，可以实现广泛的尖端应用，包括高分辨率荧光成像，增强拉曼光谱，以及科学研究和工业技术中的先进光镊。

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引用次数: 0