In one aspect, a generator for generating time-variable magnetic fields is provided. The generator includes a gradient coil having conductors extending in an area defined by a hollow first cylinder, and having no conductors in a central area of the hollow first cylinder, the central area defined by the volume of a second cylinder arranged coaxially with and inside the first cylinder, the second cylinder having a diameter of one third the diameter of the first cylinder. The generator also includes a high frequency shielding device enclosing the central area but not the conductors, a high frequency antenna arranged in the central area; and a coaxial connecting cable operatively connected to the high frequency antenna arranged along a longitudinal axis of the first and second cylinder, the connecting cable penetrating the high frequency shielding device at a plurality of locations.