Influence of Fractal Lacunarity on the Performance of Dipole Antennas with Generalized Koch Curves

In recent years fractal geometries have been explored by various research groups around the world due to their purported potential of realizing multi-resonant antennas, possibly with smaller size and greater radiation efficiency. Most of the initial works in this direction were experimental approaches, but very recently the attention has been brought towards exploiting fractal features in antenna design. While these past attempts have been on regular fractal geometries and were aimed at quantitatively relating fractal dimension with antenna characteristics, in this paper we strive to extend this approach to more generalized situations. In this context we suggest a novel parameter to quantize the fractal lacunarity and use this to explain the behavior of dipole antennas made of generalized triangular Koch curves