Harmonic Sierpinski Gasket and Applications

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

• antenna
• harmonic function
• harmonic Sierpinski gasket
• homeomorphism
• Rényi entropy
• self-affine fractal
• Sierpinski gasket