An antenna comprises a ring-shaped radiofrequency resonator that defines a path for a circulating magnetic current. In an implementation, the resonator has a height of no more than 2% of an operating wavelength, and it has an electromagnetic resonance at the operating frequency. In an implementation, the antenna is of a type having a vertical, short electric dipole radiation or sensitivity pattern. It comprises, as the dominant radiative element, a ring of material disposed transverse to the vertical dipole axis and having an average magnetic permeability more than ten times the magnetic permeability of air. The ring has a maximum outer diameter and a height that is less than the maximum outer diameter. The antenna further includes a feed structure adapted to couple radiofrequency energy into and/or out of a magnetic current circulating in the ring.