The poynting vector behavior during the resonance scattering of an obliquely incident plane electromagnetic wave by a gyrotropic cylinder

The scattering of an H-polarized plane electromagnetic wave by a gyrotropic cylinder in the case of oblique incidence is studied. The emphasis is placed on the behavior of the time-averaged Poynting vector field. The detailed analysis of the spatial structure of the energy flow shows that under certain conditions, a significant increase in the magnitude of the Poynting vector near the cylinder surface takes place compared with that for an isotropic cylinder. It is demonstrated that the sign reversal of the cylinder-aligned component of the energy flow as a function of the transverse radial coordinate can occur when passing from the outer region of the cylinder to its inner region filled with a gyrotropic medium.