Miniaturization of a Koch-Type Fractal Antenna for Wi-Fi Applications

Koch-type wire dipole antennas are considered herein. In the case of a first-order prefractal, such antennas differ from a Koch-type dipole by the position of the central vertex of the dipole arm. Earlier, we investigated the dependence of the base frequency for different antenna scales for an arm i...

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Main Authors: Dmitrii Tumakov, Dmitry Chikrin, Petr Kokunin
Format: Article
Language:English
Published: MDPI AG 2020-06-01
Series:Fractal and Fractional
Subjects:
Online Access:https://www.mdpi.com/2504-3110/4/2/25
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author Dmitrii Tumakov
Dmitry Chikrin
Petr Kokunin
author_facet Dmitrii Tumakov
Dmitry Chikrin
Petr Kokunin
author_sort Dmitrii Tumakov
collection DOAJ
description Koch-type wire dipole antennas are considered herein. In the case of a first-order prefractal, such antennas differ from a Koch-type dipole by the position of the central vertex of the dipole arm. Earlier, we investigated the dependence of the base frequency for different antenna scales for an arm in the form of a first-order prefractal. In this paper, dipoles for second-order prefractals are considered. The dependence of the base frequency and the reflection coefficient on the dipole wire length and scale is analyzed. It is shown that it is possible to distinguish a family of antennas operating at a given (identical) base frequency. The same length of a Koch-type curve can be obtained with different coordinates of the central vertex. This allows for obtaining numerous antennas with various scales and geometries of the arm. An algorithm for obtaining small antennas for Wi-Fi applications is proposed. Two antennas were obtained: an antenna with the smallest linear dimensions and a minimum antenna for a given reflection coefficient.
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spelling doaj.art-4d278f026215475287d96198cf8e21af2023-11-20T02:48:20ZengMDPI AGFractal and Fractional2504-31102020-06-01422510.3390/fractalfract4020025Miniaturization of a Koch-Type Fractal Antenna for Wi-Fi ApplicationsDmitrii Tumakov0Dmitry Chikrin1Petr Kokunin2Institute of Computer Mathematics and Information Technologies, Kazan Federal University; 18 Kremlevskaya Str., 420008 Kazan, RussiaInstitute of Physics, Kazan Federal University; 18 Kremlevskaya Str., 420008 Kazan, RussiaInstitute of Physics, Kazan Federal University; 18 Kremlevskaya Str., 420008 Kazan, RussiaKoch-type wire dipole antennas are considered herein. In the case of a first-order prefractal, such antennas differ from a Koch-type dipole by the position of the central vertex of the dipole arm. Earlier, we investigated the dependence of the base frequency for different antenna scales for an arm in the form of a first-order prefractal. In this paper, dipoles for second-order prefractals are considered. The dependence of the base frequency and the reflection coefficient on the dipole wire length and scale is analyzed. It is shown that it is possible to distinguish a family of antennas operating at a given (identical) base frequency. The same length of a Koch-type curve can be obtained with different coordinates of the central vertex. This allows for obtaining numerous antennas with various scales and geometries of the arm. An algorithm for obtaining small antennas for Wi-Fi applications is proposed. Two antennas were obtained: an antenna with the smallest linear dimensions and a minimum antenna for a given reflection coefficient.https://www.mdpi.com/2504-3110/4/2/25Koch-type antennafractal antennaantenna miniaturizationWi-Fi applications
spellingShingle Dmitrii Tumakov
Dmitry Chikrin
Petr Kokunin
Miniaturization of a Koch-Type Fractal Antenna for Wi-Fi Applications
Fractal and Fractional
Koch-type antenna
fractal antenna
antenna miniaturization
Wi-Fi applications
title Miniaturization of a Koch-Type Fractal Antenna for Wi-Fi Applications
title_full Miniaturization of a Koch-Type Fractal Antenna for Wi-Fi Applications
title_fullStr Miniaturization of a Koch-Type Fractal Antenna for Wi-Fi Applications
title_full_unstemmed Miniaturization of a Koch-Type Fractal Antenna for Wi-Fi Applications
title_short Miniaturization of a Koch-Type Fractal Antenna for Wi-Fi Applications
title_sort miniaturization of a koch type fractal antenna for wi fi applications
topic Koch-type antenna
fractal antenna
antenna miniaturization
Wi-Fi applications
url https://www.mdpi.com/2504-3110/4/2/25
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AT petrkokunin miniaturizationofakochtypefractalantennaforwifiapplications