标题： 多模孤子在非线性退化多通腔中的稳定化与不稳定化 显示英文标题

标题： Stabilization and Destabilization of Multimode Solitons in Nonlinear Degenerate Multi-Pass Cavities

摘要： 光学多模非线性光学系统中的光孤子提供了一个独特的平台，用于探索非线性、色散和空间模式耦合之间的相互作用，为理解复杂的非线性波现象提供了见解。 包含非线性克尔介质的多通腔（MPCs）作为典型系统，能够实现高效率的超连续谱生成和脉冲压缩。 然而，在强克尔非线性条件下，稳定基于固体介质的多通腔（固体MPCs）中的飞秒激光脉冲仍是一个重大挑战，因为多模耦合会破坏光束稳定性。 在本工作中，我们通过使用弗洛凯和扰动模型研究MPCs中激光脉冲的稳定性来解决这一挑战。 我们识别出新的模式耦合抑制（MCS）介质长度，在这些长度下，多模波成分之间的破坏性干涉抑制了耦合并促进了孤子的稳定。 在MCS条件下，我们的模拟表明，在固体MPCs中实现了稳定的光束传播，每通过一次的非线性相位高达1.5{\pi }，实现了超过13倍的脉冲压缩，并具有优异的时空光谱均匀性。 我们的研究结果为设计定制化的克尔介质先进MPCs提供了有价值的指导。 显示英文摘要

摘要： Optical solitons in multimode nonlinear optical systems offer a unique platform for exploring the interplay of nonlinearity, dispersion, and spatial mode coupling, offering insights into complex nonlinear wave phenomena. Multi-pass cavities (MPCs) incorporating nonlinear Kerr media serve as prototypical systems, enabling high-efficiency supercontinuum generation and pulse compression. However, stabilizing femtosecond laser pulses in solid-medium-based MPCs (solid MPCs) under strong Kerr nonlinearity remains a significant challenge due to multimode coupling, which disrupts beam stability. In this work, we address this challenge by investigating the stability of laser pulses in MPCs using Floquet and perturbation model. We identify novel mode-coupling-suppression (MCS) medium lengths, where destructive interference among multimode wave components suppresses coupling and facilitates soliton stabilization. Under MCS conditions, our simulations demonstrate stable beam propagation in solid MPCs with nonlinear phases up to 1.5{\pi} per pass, achieving >13-fold pulse compression with excellent spatio-spectral homogeneity. Our findings offer valuable guidance for designing advanced MPCs with tailored Kerr media.