Focusing a locally elliptically polarized field to control the complex distribution of the longitudinal component of the Umov-Poynting vector

This report presents results for focusing a field with an inhomogeneous polarization distribution: the incident field has elliptical polarization with parameters of the ellipse of polarization depending on the position. We primarily consider the case of fixed value of inclination of the polarization ellipse and the varying ratio of the semi-axes. Calculations were performed using the Richards-Wolf formulas. Results show the ability to obtain various distributions when changing the initial parameters. Special attention is paid to the properties of the Umov-Poynting vector.