Computation of the Characteristic Parameters of Coaxial Waveguides Used in Precision Sensors
This paper presents a fast and computationally stable analytical algorithm used to perform the characteristic impedance of cylindrical multilayer waveguides used in high-precision sensors and apparatuses. Most of the algorithms used for the calculation of the characteristic impedance of those wavegu...
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Format: | Article |
Language: | English |
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MDPI AG
2023-02-01
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Series: | Sensors |
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Online Access: | https://www.mdpi.com/1424-8220/23/4/2324 |
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author | Krzysztof Kubiczek |
author_facet | Krzysztof Kubiczek |
author_sort | Krzysztof Kubiczek |
collection | DOAJ |
description | This paper presents a fast and computationally stable analytical algorithm used to perform the characteristic impedance of cylindrical multilayer waveguides used in high-precision sensors and apparatuses. Most of the algorithms used for the calculation of the characteristic impedance of those waveguides are based on approximations. Their application is limited to waveguides with a certain (usually small) number of layers. There may be insufficient layers, especially when coaxial waveguides are part of a precise measurement device. This article presents a numerically stable analytical algorithm using modified scaled Bessel functions to perform the characteristic impedance and the components of cylindrical coaxial multilayer waveguides. The results achieved by the extracted algorithm were compared to the results obtained by simulation using finite element method (FEM) software and the current method, whose main drawback is the fictive sublayers, which significantly increase the computation time. The excellent agreement between the results confirmed the precision of the algorithm and the time required for the calculation was reduced several times. |
first_indexed | 2024-03-11T08:10:10Z |
format | Article |
id | doaj.art-ba0e21ce033c471c84b7613258bcbd10 |
institution | Directory Open Access Journal |
issn | 1424-8220 |
language | English |
last_indexed | 2024-03-11T08:10:10Z |
publishDate | 2023-02-01 |
publisher | MDPI AG |
record_format | Article |
series | Sensors |
spelling | doaj.art-ba0e21ce033c471c84b7613258bcbd102023-11-16T23:13:19ZengMDPI AGSensors1424-82202023-02-01234232410.3390/s23042324Computation of the Characteristic Parameters of Coaxial Waveguides Used in Precision SensorsKrzysztof Kubiczek0Department of Measurement Science, Electronics and Control, Silesian University of Technology, 44-100 Gliwice, PolandThis paper presents a fast and computationally stable analytical algorithm used to perform the characteristic impedance of cylindrical multilayer waveguides used in high-precision sensors and apparatuses. Most of the algorithms used for the calculation of the characteristic impedance of those waveguides are based on approximations. Their application is limited to waveguides with a certain (usually small) number of layers. There may be insufficient layers, especially when coaxial waveguides are part of a precise measurement device. This article presents a numerically stable analytical algorithm using modified scaled Bessel functions to perform the characteristic impedance and the components of cylindrical coaxial multilayer waveguides. The results achieved by the extracted algorithm were compared to the results obtained by simulation using finite element method (FEM) software and the current method, whose main drawback is the fictive sublayers, which significantly increase the computation time. The excellent agreement between the results confirmed the precision of the algorithm and the time required for the calculation was reduced several times.https://www.mdpi.com/1424-8220/23/4/2324characteristic impedancenumerical stabilitymodified scaled Bessel functionsthermal voltage converterscoaxial waveguides |
spellingShingle | Krzysztof Kubiczek Computation of the Characteristic Parameters of Coaxial Waveguides Used in Precision Sensors Sensors characteristic impedance numerical stability modified scaled Bessel functions thermal voltage converters coaxial waveguides |
title | Computation of the Characteristic Parameters of Coaxial Waveguides Used in Precision Sensors |
title_full | Computation of the Characteristic Parameters of Coaxial Waveguides Used in Precision Sensors |
title_fullStr | Computation of the Characteristic Parameters of Coaxial Waveguides Used in Precision Sensors |
title_full_unstemmed | Computation of the Characteristic Parameters of Coaxial Waveguides Used in Precision Sensors |
title_short | Computation of the Characteristic Parameters of Coaxial Waveguides Used in Precision Sensors |
title_sort | computation of the characteristic parameters of coaxial waveguides used in precision sensors |
topic | characteristic impedance numerical stability modified scaled Bessel functions thermal voltage converters coaxial waveguides |
url | https://www.mdpi.com/1424-8220/23/4/2324 |
work_keys_str_mv | AT krzysztofkubiczek computationofthecharacteristicparametersofcoaxialwaveguidesusedinprecisionsensors |