On the resonant frequency of pre-fractal miniature antennas

Wire antennas miniaturization is usually based in packing a long wire inside a small volume. The aim is to achieve the smallest antenna having a given resonant frequency. The Koch pre-fractal is taken as example to understand the behaviour of the resonant frequency of miniature wire antennas as a function of the antenna geometry. It has been found that the capacitive coupling between wire angles limits the reduction of the resonant frequency with increasing wire length.