The usefulness of fractal Hilbert curves in antenna geometry is explored he
re for the first time. Apart from being simple and self-similar, these curv
es have the additional property of approximately filling a plane. These pro
perties are exploited in realizing a "small" resonant antenna. This approac
h has resulted in an antenna size smaller than lambda /10 and still resonan
t, with performance comparable to a dipole whose resonant length is close t
o lambda /2. Numerical predictions of the input impedance of the antenna ha
ve bern compared with experiments. The effect of additional fractal iterati
ons on the reduction of the resonant frequency has been studied. The radiat
ion characteristics of the antenna at the resonant frequencies provided sho
w that this is very similar to the dipole characteristics. (C) 2001 John Wi
ley & Sons, Inc.