Features of scattering of electromagnetic vortex Bessel beams by a gyrotropic cylinder

We study features of scattering of E- and H-polarized electromagnetic vortex Bessel beams by a gyrotropic cylinder located in free space in the case where the symmetry axes of the beam and the cylinder coincide. As a medium filling the cylinder, a magnetoplasma in the radiofrequency range and an artificial material constituted from graphene-sandwiched dielectric disks in the infrared range are considered.