AI 中文总结
研究共振克尔三次谐波产生模型中的二维空间局域双色光模式，利用计算工具识别出两个局域态族，其动力学取决于谐波功率分布，还发现了共振坍缩事件及特殊坍缩机制。
AI 中文摘要
我们研究了共振克尔三次谐波产生模型中的二维空间局域双色光模式。利用计算工具，我们识别出两个不同的局域态族。与单分量二维非线性薛定谔方程及先前研究的非共振双色系统不同，其动力学并非由通用临界功率决定，而是取决于谐波间的功率分布。‘基波主导’族在同时坍缩和联合衍射间起‘动态分界线’作用，‘三次谐波主导’族则不然。我们还识别出伴随三次谐波强烈振荡的共振坍缩事件，揭示了标准克尔自聚焦中不存在的坍缩机制。
英文摘要
We investigate two-color, two dimensional spatially localized light modes in a resonant Kerr third-harmonic generation model. Using computational tools, we identify two distinct families of localized states. Unlike the single-component 2D nonlinear Schrödinger equation and previously studied non-resonant two-color systems, the dynamics are not dictated by a universal critical power, but depend on the distribution of power between the harmonics. The "fundamental-dominated" family acts as a "dynamical separatrix" between simultaneous collapse and joint diffraction, whereas the "third-harmonic-dominated" family does not. We further identify resonant collapse events accompanied by strong oscillations of the third harmonic, revealing a collapse mechanism absent from standard Kerr self-focusing.
