Abstract

Fractal geometry has been proven to be useful in several disciplines. In the field of antenna engineering, fractal geometry is useful to design small and multiband antenna and arrays, and high-directive elements. A historic overview of the most significant fractal mathematic pioneers is presented, at the same time showing how the fractal patterns inspired engineers to design antennas.

Highlights

  • The term fractal was first coined by B

  • Benoit Mandelbrot (Warsaw 1924–Cambridge 2010) was a Polish Mathematician who moved to France in 1936, where he spent the first part of his life by obtaining French citizenship (Figure 1)

  • On the other hand, the problem is approached with a self-similar antenna such as the one inspired by the Sierpiński triangle, it is possible to obtain that different regions of the structure operate at a frequency band (Figure 7)

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Summary

Introduction

The term fractal was first coined by B. The word comes from the Latin word “fractus”, which means irregular or broken [1]. This term was used to describe a new set of more complex objects than squares, circles, or triangles which were well defined using the Euclidean geometry. Their fractals inspired the antenna engineering community to research if those geometries could be used as antennas [2,3,4,5,6,7].

About the Fractal Geometry
Recursive Relation Based
L-Systems
Random
Fractals in Antenna Engineering
Mandelbrot
Sierpiński
Hilbert
Cantor
Minkowski
Evolution of Publications in the Fractal Antenna Field
Findings
Conclusions
Full Text
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