发表机构
Indian Institute of Technology Kharagpur; Umeå University; University of L’Aquila（印度理工学院卡拉格普尔分校; 于默奥大学; 拉奎拉大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究针对非线性GRIN光纤中的光子弹，采用半解析变分方法求解方程并分析其稳定性与呼吸动力学，所得结果与数值模拟吻合，为稳定3D光学结构及先进光子技术发展提供理论支撑。
AI 中文摘要
我们研究非线性梯度折射率（GRIN）光纤中时空孤子的特性，重点探讨其形成、稳定性及呼吸动力学。采用半解析变分方法求解（3+1）维非线性薛定谔方程，得到描述双稳态光子弹动力学的约化耦合常微分方程组；结合Vakhitov-Kolokolov判据与Kantorovich优化框架内的线性稳定性分析评估这些状态的稳定性；通过势场形式主义研究光子弹的呼吸动力学，揭示GRIN光纤中的振荡行为与自成像动力学。分析结果与全数值模拟高度吻合，验证了理论模型的鲁棒性。本研究加深了对稳定自重复3D光学结构的理解，有助于先进光子技术的发展。
英文摘要
We explore the properties of spatiotemporal solitons within nonlinear graded-index (GRIN) optical fibers, specifically addressing their formation, stability, and breathing dynamics. We solve the (3+1)-dimensional nonlinear Schrödinger equation employing a semi-analytical variational approach, which leads to a set of reduced coupled ordinary differential equations describing the bistable bullet dynamics. The stability of these states is assessed using the Vakhitov-Kolokolov criterion and linear stability analysis within the Kantorovich optimization framework. The breathing dynamics of the optical bullets are investigated adopting the potential formalism, revealing an oscillatory behavior and self-imaging dynamics in GRIN fibers. The analytical results demonstrate strong agreement with full numerical simulations, validating the robustness of our theoretical model. Our research enhances the understanding of stabilizing self-repeated 3D optical structures, which is beneficial for the development of advanced photonic technologies.
Comments9 pages, 5 figures
