Electromagnetic fields of electric, magnetic, and toroidal dipoles moving in medium

We found the exact electromagnetic fields of point-like electric and magnetic dipoles and elementary toroidal solenoids moving in a non-dispersive medium. The investigation is performed for different velocities and orientations of these moments relative to their velocities. For motion with a velocity smaller than the light velocity in the medium, the electromagnetic field differs from zero everywhere (even for toroidal solenoids). When the velocity is greater than the light velocity in the medium, the electromagnetic held is confined to the interior and surface of the Cherenkov cone.