论文标题
随机矢量波的横向流场中的奇异性
Poynting singularities in the transverse flow-field of random vector waves
论文作者
论文摘要
为了利用纳米级电磁能量的全部潜力，我们需要理解其一般行为的一般行为，其一般表示干扰随机波。对于片上光子学和粒子捕获中的应用，重要的是要辨别普通矢量光场及其2D等效案例之间流场的拓扑特征。我们证明了这些病例在流场的允许拓扑结构和其奇异性的空间分布中之间的明显差异，由它们的配对相关函数g（r）给出。具体而言，我们表明，局限于2D平面的随机场具有无差异的流场，并且表现出液体状的相关性，而其自由传播的对应物没有明确的相关性，并且具有横向流场，并具有围绕其奇异性的各种可能的2D拓扑范围。
In order to utilize the full potential of tailored flows of electromagnetic energy at the nanoscale, we need to understand its general behaviour given by its generic representation of interfering random waves. For applications in on-chip photonics as well as particle trapping, it is important to discern the topological features in the flow field between the commonly investigated cases of fully vectorial light fields and their 2D equivalents. We demonstrate the distinct difference between these cases in both the allowed topology of the flow-field and the spatial distribution of its singularities, given by their pair correlation function g(r). Specifically, we show that a random field confined to a 2D plane has a divergence-free flow-field and exhibits a liquid-like correlation, whereas its freely propagating counterpart has no clear correlation and features a transverse flow-field with the full range of possible 2D topologies around its singularities.
