AI 中文总结
该研究建立手性向列相液晶重取向非线性的降阶半解析模型，可高效模拟其非线性光学特性，揭示螺距的主导作用，为非线性光子器件设计提供工具。
AI 中文摘要
我们提出了一种手性向列相液晶重取向非线性的降阶半解析模型，表明手性螺距是控制非线性自聚焦和孤子形成起始的主导物理长度尺度。从完整的Frank-Oseen方程出发，我们推导了光诱导分子旋转的闭式表达式，该表达式捕捉了介质的基本饱和响应，同时与标准弛豫法求解器相比，计算成本降低了两个数量级以上。尽管模型简单，但其再现了数值获得的非线性折射率的基本特征、自局域化的起始，以及一维和二维中从离散孤子到连续孤子的转变。该模型还预测了完全局域化像散向列子的形成，由于忽略非局域效应，自局域化阈值仅发生微小偏移。所提出的模型为软物质介质中的光-物质相互作用提供了直接的物理见解，并为非线性光子器件的设计与优化提供了计算高效的工具。
英文摘要
We present a reduced-order semi-analytical model for reorientational nonlinearity in chiral nematic liquid crystals, showing that the chiral pitch acts as the dominant physical length scale governing the onset of nonlinear self-focusing and soliton formation. Starting from the full Frank-Oseen equation, we derive a closed-form expression for the optically induced molecular rotation that captures the essential saturable response of the medium while reducing computational cost by more than two orders of magnitude compared with standard relaxation-method solvers. Despite its simplicity, the model reproduces the essential features of the numerically obtained nonlinear refractive index, the onset of self-localization, and the transition from discrete to continuous solitons in one and two dimensions. It further predicts the formation of fully localized astigmatic nematicons with only minor shifts in the self-localization threshold due to the neglect of nonlocal effects. The proposed model provides direct physical insight into light-matter interactions with soft matter media and offers a computationally efficient tool for the design and optimization of nonlinear photonic devices.
Comments9 pages, 5 figures; published in Physical Review A 113, 033511 (2026)
Journal refPhys. Rev. A 113, 033511 (2026)
