Complete Meniscus Removal Method for Broadband Liquid Characterization in a Semi-Open Coaxial Test Cell

We present a new technique for broadband liquid characterization using a semi-open, vertically oriented test cell that is measured with a calibrated vector network analyzer in three states: the empty one and filled with two different volumes of the liquid under test. Using the measurements, we de-em...

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Main Authors: Michał Kalisiak, Wojciech Wiatr
Format: Article
Language:English
Published: MDPI AG 2019-05-01
Series:Sensors
Subjects:
Online Access:https://www.mdpi.com/1424-8220/19/9/2092
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author Michał Kalisiak
Wojciech Wiatr
author_facet Michał Kalisiak
Wojciech Wiatr
author_sort Michał Kalisiak
collection DOAJ
description We present a new technique for broadband liquid characterization using a semi-open, vertically oriented test cell that is measured with a calibrated vector network analyzer in three states: the empty one and filled with two different volumes of the liquid under test. Using the measurements, we de-embed a transfer matrix representing a volume increment of the liquid sample and determine its column height with a novel closed-form formula. Thanks to the de-embedding, the method enables one, for the first time, to completely remove effects caused by a reproducible meniscus forming the top surface of a liquid tested in the cell and determine not only the propagation constant, but also characteristic impedance of the liquid sample, from which its permittivity and permeability are calculated. The results are highly consistent, because all the measurements are performed without disassembling the cell. We validate experimental results of the meniscus removal method by comparing them with reference data and outcomes of the Nicolson−Ross−Weir method.
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spelling doaj.art-ae01a99392fc4617a6762af2f7791bd72022-12-22T02:55:43ZengMDPI AGSensors1424-82202019-05-01199209210.3390/s19092092s19092092Complete Meniscus Removal Method for Broadband Liquid Characterization in a Semi-Open Coaxial Test CellMichał Kalisiak0Wojciech Wiatr1Institute of Electronic Systems, Warsaw University of Technology, 00-665 Warsaw, PolandInstitute of Electronic Systems, Warsaw University of Technology, 00-665 Warsaw, PolandWe present a new technique for broadband liquid characterization using a semi-open, vertically oriented test cell that is measured with a calibrated vector network analyzer in three states: the empty one and filled with two different volumes of the liquid under test. Using the measurements, we de-embed a transfer matrix representing a volume increment of the liquid sample and determine its column height with a novel closed-form formula. Thanks to the de-embedding, the method enables one, for the first time, to completely remove effects caused by a reproducible meniscus forming the top surface of a liquid tested in the cell and determine not only the propagation constant, but also characteristic impedance of the liquid sample, from which its permittivity and permeability are calculated. The results are highly consistent, because all the measurements are performed without disassembling the cell. We validate experimental results of the meniscus removal method by comparing them with reference data and outcomes of the Nicolson−Ross−Weir method.https://www.mdpi.com/1424-8220/19/9/2092complex permittivitypermeabilitymicrowave measurementsliquidsmeniscusvector network analyzernetwork de-embedding
spellingShingle Michał Kalisiak
Wojciech Wiatr
Complete Meniscus Removal Method for Broadband Liquid Characterization in a Semi-Open Coaxial Test Cell
Sensors
complex permittivity
permeability
microwave measurements
liquids
meniscus
vector network analyzer
network de-embedding
title Complete Meniscus Removal Method for Broadband Liquid Characterization in a Semi-Open Coaxial Test Cell
title_full Complete Meniscus Removal Method for Broadband Liquid Characterization in a Semi-Open Coaxial Test Cell
title_fullStr Complete Meniscus Removal Method for Broadband Liquid Characterization in a Semi-Open Coaxial Test Cell
title_full_unstemmed Complete Meniscus Removal Method for Broadband Liquid Characterization in a Semi-Open Coaxial Test Cell
title_short Complete Meniscus Removal Method for Broadband Liquid Characterization in a Semi-Open Coaxial Test Cell
title_sort complete meniscus removal method for broadband liquid characterization in a semi open coaxial test cell
topic complex permittivity
permeability
microwave measurements
liquids
meniscus
vector network analyzer
network de-embedding
url https://www.mdpi.com/1424-8220/19/9/2092
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AT wojciechwiatr completemeniscusremovalmethodforbroadbandliquidcharacterizationinasemiopencoaxialtestcell