ИСТИНА

The topological structure of the Poynting vector field at resonant light scattering by a particle in the near field zone and within the particle itself determines the energy circulation in these areas. In turn, any field's global topological structure is determined by its singularities' type and position. For this reason, their study is essential both from the academic viewpoint and for numerous applications in telecommunication, medicine, biology, high-resolution spectroscopy, etc. In the present talk, the author surveys recent results in classifying the Poynting vector field singularities, their connection with the structure of the electric and magnetic fields, and the effects of constraints imposed on the problem by its symmetry, spatial dimension, and energy conservation law.