Microstrip Configurations of Reflective-Mode Phase-Variation Permittivity Sensors Based on Weakly Coupled Step Impedance Resonators (SIR): An Analysis to the Light of Circuit Duality

This paper presents and experimentally validates various topologies of one-port reflective-mode phase-variation permittivity sensors based on weakly coupled step impedance resonators (SIRs), the sensing elements, implemented in microstrip technology. The differences between such topologies concern t...

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Main Authors: Joaquim Borras-Sarsa, Pau Casacuberta, Paris Velez, Lijuan Su, Xavier Canalias, Ferran Martin
Format: Article
Language:English
Published: IEEE 2025-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/11002464/
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author Joaquim Borras-Sarsa
Pau Casacuberta
Paris Velez
Lijuan Su
Xavier Canalias
Ferran Martin
author_facet Joaquim Borras-Sarsa
Pau Casacuberta
Paris Velez
Lijuan Su
Xavier Canalias
Ferran Martin
author_sort Joaquim Borras-Sarsa
collection DOAJ
description This paper presents and experimentally validates various topologies of one-port reflective-mode phase-variation permittivity sensors based on weakly coupled step impedance resonators (SIRs), the sensing elements, implemented in microstrip technology. The differences between such topologies concern the specific configuration, either series or parallel, of the SIR driven by the feeding (harmonic) signal, and the type of coupling, either electric or magnetic, between the SIRs. Thus, four different sensor topologies result. These sensors are modeled by lumped element circuits that describe their behavior to a very good approximation and are useful to predict the sensitivity in the limit of small perturbations. It is shown that the models of one of the pairs of these four sensors are circuit duals, and such circuit duality applies also to the models of the other pair. In all cases, a high (maximum) sensitivity is achievable provided the coupling (either electric or magnetic) between the SIRs pair is weak. Since the sensing regions in the reported sensors are also small, the resulting figures of merit (FoM), or ratio between the maximum sensitivity and the area of the sensing region expressed in squared guided wavelengths, are very competitive.
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issn 2169-3536
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publishDate 2025-01-01
publisher IEEE
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spelling doaj-art-79a8016b40424707b0aa9749f155d0792025-08-20T03:08:17ZengIEEEIEEE Access2169-35362025-01-0113858388585610.1109/ACCESS.2025.356945211002464Microstrip Configurations of Reflective-Mode Phase-Variation Permittivity Sensors Based on Weakly Coupled Step Impedance Resonators (SIR): An Analysis to the Light of Circuit DualityJoaquim Borras-Sarsa0https://orcid.org/0009-0005-0473-1462Pau Casacuberta1https://orcid.org/0000-0002-2658-2200Paris Velez2https://orcid.org/0000-0001-6502-5987Lijuan Su3https://orcid.org/0000-0002-4753-9340Xavier Canalias4https://orcid.org/0009-0002-6473-7514Ferran Martin5https://orcid.org/0000-0002-1494-9167CIMITEC, Departament d’Enginyeria Electrònica, Universitat Autònoma de Barcelona, Bellaterra, SpainCIMITEC, Departament d’Enginyeria Electrònica, Universitat Autònoma de Barcelona, Bellaterra, SpainCIMITEC, Departament d’Enginyeria Electrònica, Universitat Autònoma de Barcelona, Bellaterra, SpainCIMITEC, Departament d’Enginyeria Electrònica, Universitat Autònoma de Barcelona, Bellaterra, SpainCIMITEC, Departament d’Enginyeria Electrònica, Universitat Autònoma de Barcelona, Bellaterra, SpainCIMITEC, Departament d’Enginyeria Electrònica, Universitat Autònoma de Barcelona, Bellaterra, SpainThis paper presents and experimentally validates various topologies of one-port reflective-mode phase-variation permittivity sensors based on weakly coupled step impedance resonators (SIRs), the sensing elements, implemented in microstrip technology. The differences between such topologies concern the specific configuration, either series or parallel, of the SIR driven by the feeding (harmonic) signal, and the type of coupling, either electric or magnetic, between the SIRs. Thus, four different sensor topologies result. These sensors are modeled by lumped element circuits that describe their behavior to a very good approximation and are useful to predict the sensitivity in the limit of small perturbations. It is shown that the models of one of the pairs of these four sensors are circuit duals, and such circuit duality applies also to the models of the other pair. In all cases, a high (maximum) sensitivity is achievable provided the coupling (either electric or magnetic) between the SIRs pair is weak. Since the sensing regions in the reported sensors are also small, the resulting figures of merit (FoM), or ratio between the maximum sensitivity and the area of the sensing region expressed in squared guided wavelengths, are very competitive.https://ieeexplore.ieee.org/document/11002464/Circuit dualitycoupled resonatorsmicrostrip technologymicrowave sensorpermittivity sensorreflective-mode sensor
spellingShingle Joaquim Borras-Sarsa
Pau Casacuberta
Paris Velez
Lijuan Su
Xavier Canalias
Ferran Martin
Microstrip Configurations of Reflective-Mode Phase-Variation Permittivity Sensors Based on Weakly Coupled Step Impedance Resonators (SIR): An Analysis to the Light of Circuit Duality
IEEE Access
Circuit duality
coupled resonators
microstrip technology
microwave sensor
permittivity sensor
reflective-mode sensor
title Microstrip Configurations of Reflective-Mode Phase-Variation Permittivity Sensors Based on Weakly Coupled Step Impedance Resonators (SIR): An Analysis to the Light of Circuit Duality
title_full Microstrip Configurations of Reflective-Mode Phase-Variation Permittivity Sensors Based on Weakly Coupled Step Impedance Resonators (SIR): An Analysis to the Light of Circuit Duality
title_fullStr Microstrip Configurations of Reflective-Mode Phase-Variation Permittivity Sensors Based on Weakly Coupled Step Impedance Resonators (SIR): An Analysis to the Light of Circuit Duality
title_full_unstemmed Microstrip Configurations of Reflective-Mode Phase-Variation Permittivity Sensors Based on Weakly Coupled Step Impedance Resonators (SIR): An Analysis to the Light of Circuit Duality
title_short Microstrip Configurations of Reflective-Mode Phase-Variation Permittivity Sensors Based on Weakly Coupled Step Impedance Resonators (SIR): An Analysis to the Light of Circuit Duality
title_sort microstrip configurations of reflective mode phase variation permittivity sensors based on weakly coupled step impedance resonators sir an analysis to the light of circuit duality
topic Circuit duality
coupled resonators
microstrip technology
microwave sensor
permittivity sensor
reflective-mode sensor
url https://ieeexplore.ieee.org/document/11002464/
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