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...

Full description

Bibliographic Details
Main Author: Krzysztof Kubiczek
Format: Article
Language:English
Published: MDPI AG 2023-02-01
Series:Sensors
Subjects:
Online Access:https://www.mdpi.com/1424-8220/23/4/2324
_version_ 1797618227427147776
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