Abstract

We introduce fractal geometry to the common bowtie antenna and investigate the influence of a key fractal parameter, Hausdorff dimension, on the broadband spectral response of the antenna. Length scaling trends are presented for antennas having various Hausdorff dimensions. We show that antennas with Pascal’s triangle geometry accommodate resonances that are red-shifted when compared to a standard bowtie antenna having the same size. Furthermore, increasing the Hausdorff dimension of the antenna blue shifts its resonance. By designing nanoplasmonic antennas with Pascal’s triangle geometry, the resonance conditions may be varied while the antenna dimensions are kept constant.