Improving the performance of the method of moments for the analysis of fractal antennas

Fractal antennas present some particular properties as self-similarity, miniaturization and localized vibration modes that result in high directive microstrip patch antennas with multiband behavior. These fractal properties will be used here to simplify the numerical analysis of fractal antennas with the Method of Moments. The adaptive meshing of the geometry and a recursive procedure that makes use of the concept of macro basis functions will be presented as some possibilities of improving the computational requirements in the analysis of fractal antennas. The recursive procedure applied in the analysis of a Sierpinski patch antenna discretized in 1700 unknowns gives a reduction factor of six in memory and nine in CPU time respect to the Method of Moments traditional solution.