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Open AccessArticle

Harmonic Sierpinski Gasket and Applications

1
Department of Mathematics and Applications “R.Caccioppoli”, University of Naples Federico II, 80126 Naples, Italy
2
Department of Mathematics, University of Trento, 38123 Trento, Italy
Entropy 2018, 20(9), 714; https://doi.org/10.3390/e20090714
Received: 14 August 2018 / Revised: 8 September 2018 / Accepted: 14 September 2018 / Published: 17 September 2018
(This article belongs to the Special Issue Entropy: From Physics to Information Sciences and Geometry)
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. View Full-Text
Keywords: antenna; harmonic function; harmonic Sierpinski gasket; homeomorphism; Rényi entropy; self-affine fractal; Sierpinski gasket antenna; harmonic function; harmonic Sierpinski gasket; homeomorphism; Rényi entropy; self-affine fractal; Sierpinski gasket
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Guariglia, E. Harmonic Sierpinski Gasket and Applications. Entropy 2018, 20, 714.

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