The method of moments is applied to the problem of broad-band dipole design. For electrically small antennas, top-loaded geometries appear to maximize bandwidth. For dimensions of the order of a wavelength, a class of dipole shapes is given which yields a VSWR of less than 1.1 with respect to a

transmission line over a frequency range of 1.8 to 1. The beam shape is essentially that of a dipole over the band.