调和谢尔宾斯基垫片及其应用。

Harmonic Sierpinski Gasket and Applications.

作者信息

Guariglia Emanuel

机构信息

Department of Mathematics and Applications "R.Caccioppoli", University of Naples Federico II, 80126 Naples, Italy.

Department of Mathematics, University of Trento, 38123 Trento, Italy.

出版信息

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

DOI:10.3390/e20090714

PMID:33265803

原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7513240/

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.

摘要

本文的目的是通过调和度量研究谢尔宾斯基垫片的推广。具体而言，这项工作提出了一种基于这种推广的天线。事实上，调和谢尔宾斯基垫片被用作小型天线的几何结构。与分形天线和雷尼熵一样，它们的性能由在此研究和讨论的相关熵来表征。