An antenna for a medical implant device has a magnetic field radiator portion and an electric field radiator portion coupled to the magnetic field radiator portion. The magnetic and electric field radiators are arranged to result in generation, by the antenna, of at least one of a transverse electric leaky wave and a transverse magnetic leaky wave in lossy body tissue of a human or animal body such that the lossy body tissue acts as a waveguide for the transverse electric leaky wave or transverse magnetic leaky wave, whereby to optimize at least one of the efficiency of the antenna and the far field gain of the antenna.