Tribelsky Michael I, Rubinstein Boris Y
Faculty of Physics, M. V. Lomonosov Moscow State University, 119991 Moscow, Russia.
National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), 115409 Moscow, Russia.
Nanomaterials (Basel). 2022 May 31;12(11):1878. doi: 10.3390/nano12111878.
Singularities of the Poynting vector field subwavelength patterns in resonant light scattering by nanoparticles are discussed and classified. There are two generic types of the singularities, namely, (i) the singularities related to the vanishing of the magnetic (and/or electric) field at the singular points and (ii) the singularities related to the formation of standing waves in proximity to the singular points. The connection of these types of singularities to the topology of the singular points, space dimension (3D vs. 2D), and energy conservation law are revealed. In particular, it is shown that in 2D cases in non-dissipative media, the energy conservation reduces the possible types of generic singular points to saddles and centers only. In 3D cases, a universal expression connecting different components of the Poynting vector and valid for any generic singularities is derived and numerically checked for various types of singular points.
讨论并分类了纳米粒子共振光散射中坡印廷矢量场子波长模式的奇点。奇点有两种一般类型，即：(i) 与奇点处磁场（和/或电场）消失相关的奇点，以及 (ii) 与奇点附近驻波形成相关的奇点。揭示了这些类型的奇点与奇点拓扑、空间维度（三维与二维）以及能量守恒定律之间的联系。特别地，表明在二维非耗散介质情况下，能量守恒将一般奇点的可能类型仅减少到鞍点和中心点。在三维情况下，推导了连接坡印廷矢量不同分量且对任何一般奇点都有效的通用表达式，并针对各种类型的奇点进行了数值检验。
