A multi-band antenna is disclosed that can operate in two different frequency bands through two different modes of operation. It can operate as a radio antenna for coupling energy into or out of a radio signal in a radio frequency band; or it can operate as a magnetic antenna for coupling energy into or out of a magnetic signal in a lower frequency band. A radio signal is a signal consisting of an electromagnetic wave; a magnetic signal is a signal consisting of a magnetic field. The multi-band antenna achieves the two modes of operation in a compact volume of space comparable to the volume of space occupied by an equivalent single-band antenna.