Existence and stability of vector vortex solitons in nematic liquid crystals

IF 5.7 1区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Chaos Solitons & Fractals Pub Date : 2026-05-01 Epub Date: 2026-01-27 DOI:10.1016/j.chaos.2026.117946

Hui-Cong Zhang, Ming-Xu Yang, Zhi-Xuan Wang

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引用次数: 0

Abstract

This paper numerically investigates the existence, stability, and propagation dynamics of vector vortex solitons (VVS), comprising two incoherently coupled vortices with different topological charges (e.g., |l₁| ≤ 1 and |l₂| ≥ 3) in nematic liquid crystals with cylindrical symmetry. An analysis of scaling transformation demonstrates that VVS with identical power and beamwidth ratios are physically equivalent under varying propagation constants and nonlocality parameters. Linear stability analysis reveals that the azimuthal instability of the high-order vortex can be suppressed and even eliminated due to the presence of the other low-order vortex, including the fundamental soliton. VVS with opposite-sign topological charges, particularly the (−1,l₂) states, can achieve full stability within specific power ratio intervals near the equal beamwidth point. Numerical simulations for perturbed VVS confirm the predictions of linear stability analysis.

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向列液晶中矢量涡旋孤子的存在与稳定性

本文用数值方法研究了圆柱对称向列液晶中由两个具有不同拓扑电荷（如|l1|≤1和|l2|≥3）的非相干耦合涡旋组成的矢量涡旋孤子（VVS）的存在性、稳定性和传播动力学。尺度变换分析表明，具有相同功率和波束宽比的VVS在不同的传播常数和非定域参数下是物理等效的。线性稳定性分析表明，由于包括基本孤子在内的其他低阶涡旋的存在，高阶涡旋的方位不稳定性可以被抑制甚至消除。具有相反符号拓扑电荷的VVS，特别是（−1,l2）态，可以在等波束宽度点附近的特定功率比区间内实现完全稳定。扰动VVS的数值模拟证实了线性稳定性分析的预测。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Chaos Solitons & Fractals 物理-数学跨学科应用

CiteScore

13.20

自引率

10.30%

发文量

1087

审稿时长

9 months

期刊介绍： Chaos, Solitons & Fractals strives to establish itself as a premier journal in the interdisciplinary realm of Nonlinear Science, Non-equilibrium, and Complex Phenomena. It welcomes submissions covering a broad spectrum of topics within this field, including dynamics, non-equilibrium processes in physics, chemistry, and geophysics, complex matter and networks, mathematical models, computational biology, applications to quantum and mesoscopic phenomena, fluctuations and random processes, self-organization, and social phenomena.