Nature of the Poynting Vector Field Singularities in Resonant Light Scattering by Nanoparticles

TL;DR

This paper analyzes and classifies the singularities of the Poynting vector field during resonant light scattering by nanoparticles, revealing two main types linked to field vanishing and standing wave formation, and explores their topological and dimensional aspects.

Contribution

It introduces a classification of Poynting vector singularities in nanoparticle scattering and connects them to field topology and space dimensionality.

Findings

Identifies two generic types of Poynting vector singularities.

Links singularities to field vanishing and standing wave formation.

Explores the topological and dimensional aspects of singularities.

Abstract

Singularities of the Poynting vector field at resonant light scattering by nanoparticles are discussed and classified. It is shown that there are two generic types of them, 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 the proximity of the singular points. The connection of these types of singularities to the topology of the singular points and the space dimension (3D vs. 2D) is revealed.