AI 中文总结
研究采用三次-五次非线性薛定谔方程,发现五次饱和效应可捕获自聚焦高斯光束中的噪声,使噪声驱动的赝涡旋多极子持续存在,为控制局域光力矩提供了潜在途径。
AI 中文摘要
我们采用三次-五次非线性薛定谔方程,研究了高斯光束在振幅噪声和相位噪声作用下发生自聚焦时的赝涡旋产生过程。赝涡旋定义为光动量通量的旋度,用于表征不存在相位奇点时的局域旋转流。数值模拟结果表明,热振幅噪声和相位噪声会诱导出多极赝涡旋图案。与纯三次情况不同,纯三次情况中噪声不对称性会在坍缩过程中辐射消失,而五次饱和效应会阻止坍缩并将噪声捕获在形成的孤子中,因此赝涡旋多极子会持续存在,并在聚焦-再聚焦周期内振荡。这些结果为通过噪声工程控制局域光力矩提供了潜在途径。
英文摘要
We investigate pseudovorticity generation in Gaussian beams undergoing self-focusing under amplitude and phase noise, using the cubic-quintic nonlinear Schrödinger equation. Pseudovorticity, defined as the curl of the optical momentum flux, characterizes local rotational flow in the absence of phase singularities. Our numerical simulations show that thermal amplitude and phase noise induce a multipolar pseudovorticity pattern. Unlike the pure cubic case, where noise asymmetries are radiated away during collapse, the quintic saturation arrests collapse and traps the noise in the resulting soliton. Hence, pseudovorticity multipoles persist, oscillating at the focusing-refocusing period. These results suggest a potential pathway for controlling local optical torque through noise engineering.