AI 中文总结
该研究发现部分相干结构光可编码隐藏横流拓扑，通过构建广义横通量等方法，揭示两类光束的隐藏拓扑，表明交叉谱密度含有的物理信息不止强度与相干度。
AI 中文摘要
部分相干通常被视为降低对比度或平滑强度结构的机制，本文表明其还可编码隐藏的横流拓扑。从交叉谱密度出发，本文为准单色部分相干傍轴光束构建了广义横通量、有效速度场及相关通量轨迹，该构造将两点关联相位转化为局域传输信息，在单模极限下可简化为常规相干能流图像。由于广义通量通过对交叉谱密度的局域微分运算得到，所提出的轨迹原则上可通过测量复二阶相干函数重建，无需直接测量各光路。两类解析光束家族揭示了该隐藏拓扑：在扭曲高斯-谢尔模型光束中，高斯强度隐藏了具有非零涡量的分布旋转流；在拉盖尔-克里斯托费尔-达布光束中，强度分布相同的光源可具有不同的通量拓扑，产生螺旋或纯径向轨迹。因此，强度与相干度并未穷尽交叉谱密度包含的物理信息，部分相干可重构横向光传输的隐藏拓扑。
英文摘要
Partial coherence is commonly viewed as a mechanism that reduces contrast or smooths intensity structure. Here we show that it can also encode hidden transverse-flow topology. Starting from the cross-spectral density, we formulate a generalized transverse flux, an effective velocity field, and the associated flux trajectories for quasi-monochromatic partially coherent paraxial beams. This construction converts two-point correlation phases into local transport information and reduces to the usual coherent energy-flow picture in the single-mode limit. Because the generalized flux is obtained through a local differential operation on the cross-spectral density, the proposed trajectories can, in principle, be reconstructed from measurements of the complex second-order coherence function, without requiring direct measurement of individual optical paths. Two analytical beam families expose this hidden topology. In twisted Gaussian Schell-model beams, a Gaussian intensity hides a distributed rotational flow with nonzero vorticity. In Laguerre-Christoffel-Darboux beams, sources with identical intensity profiles can have different flux topology, producing either spiral or purely radial trajectories. Thus, intensity and coherence magnitude do not exhaust the physical information contained in the cross-spectral density: partial coherence can reorganize the hidden topology of transverse optical transport.
Comments12 pages, 4 figures
