向错-分形系统中的稳定涡旋孤子阵列
Stable vortex soliton arrays in disclination-fractal systems
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中文总结 AI 辅助
本文在向错-分形结构中实现了稳定涡旋孤子及阵列，通过分形构型克服不稳定性，为复杂几何系统中非线性激发及光子器件设计提供新途径。
中文摘要 AI 辅助
涡旋光场携带轨道角动量，并在光场操控、光通信和量子信息处理等领域具有广泛应用，因而引起了广泛关注。在非线性介质中，衍射与自作用之间的平衡使得涡旋孤子的形成成为可能。然而，由于径向和方位角调制不稳定性，实现涡旋孤子的稳定性仍然具有挑战性。在此，我们报道了在具有不同旋转对称性的向错-分形构型中，通过对分形晶格结构施加向错操作而构建的稳定涡旋孤子和涡旋孤子阵列。由多个涡旋孤子组成的稳定涡旋孤子阵列可以存在于畴壁处，这是对拓扑平凡相施加向错操作的结果。通过线性稳定性分析和扰动传播的直接模拟，验证了它们的稳定性。相比之下，在传统向错构型中的涡旋孤子阵列被发现完全不稳定，这证明了分形构型在稳定这些非线性态方面的重要性。这些发现揭示了一种由分形几何与向错缺陷相互作用产生的新非线性激发机制，从而为加深对复杂几何系统中多场激发现象的理解提供了理论基础，并为基于分形向错结构的光子器件设计开辟了新途径。
英文摘要
Vortex light fields carry orbital angular momentum and have attracted significant attention because of their wide applications in light field manipulations, optical communications, and quantum information processing. In nonlinear media, the balance between diffraction and self-action enables the formation of vortex solitons. However, achieving the stability of vortex solitons remains challenging due to radial and azimuthal modulation instabilities. Here, we report stable vortex solitons and vortex-soliton arrays in disclination-fractal configurations with different rotational symmetries, constructed by applying disclination operations to fractal lattice structures. The stable vortex-soliton arrays---composed of several vortex solitons---can exist along domain walls, resulting from the disclination operation applied to the topologically trivial phase. Their stability is verified through both linear stability analysis and direct simulations of perturbed propagation. For comparison, vortex-soliton arrays in conventional disclination configurations are found to be completely unstable, demonstrating the significance of the fractal configuration in stabilizing these nonlinear states. These findings reveal a new nonlinear excitation mechanism arising from the interplay between fractal geometry and disclination defects, thereby providing theoretical underpinnings for both the improved understanding of multi-field excitation phenomena in complex geometric systems and opening new avenues for the design of photonic devices based on fractal disclination structures.
发表机构
- Xi'an Jiaotong University（西安交通大学）
- Hamad Bin Khalifa University（哈马德·本·哈利法大学）
- Aerospace Information Research Institute, Chinese Academy of Sciences（中国科学院空天信息创新研究院）
机构由 AI 辅助整理，请以论文原文为准。
