Harmonic Sierpinski Gasket and Applications

Entropy (Basel). 2018 Sep 17;20(9):714. doi: 10.3390/e20090714.

Abstract

The aim of this paper is to investigate the generalization of the Sierpinski gasket through the harmonic metric. In particular, this work presents an antenna based on such a generalization. In fact, the harmonic Sierpinski gasket is used as a geometric configuration of small antennas. As with fractal antennas and Rényi entropy, their performance is characterized by the associated entropy that is studied and discussed here.

Keywords: Rényi entropy; Sierpinski gasket; antenna; harmonic Sierpinski gasket; harmonic function; homeomorphism; self-affine fractal.