The multi-band antenna structure includes a first antenna having a band width about a middle frequency and a second antenna spaced and electrically isolated from the antenna. Ends of the second antenna are shorted to each other and the antenna floats electrically. The first and second antennas are planar and superimposed in parallel planes. At least two layers of dielectric material of a thickness is between the two antennas. A third layer of dielectric material of a third thickness is between the two antennas.