The present invention relates to a downhole logging tool having on its tool body a set of co-located antennas, one or more additional antennas spaced longitudinally apart from the set of co-located antennas, an electromagnetically transparent shield circumferentially surrounding the set of co-located antennas, and an electromagnetically transparent shield circumferentially surrounding each of the one or more additional antennas. The downhole logging tool may be a wireline or while-drilling tool, and it may be an induction or propagation tool. The shields may have slots that are locally perpendicular to the windings of underlying coil antennas.