Microwave-Based Subsurface Characterization through a Combined Finite Element and Variable Exponent Spaces Technique

A microwave characterization technique to inspect subsurface scenarios is proposed and numerically assessed in this paper. The approach is based on a combination of finite element electromagnetic modeling and an inversion procedure in Lebesgue spaces with variable exponents. The former allows for de...

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Main Authors: Valentina Schenone, Claudio Estatico, Gian Luigi Gragnani, Matteo Pastorino, Andrea Randazzo, Alessandro Fedeli
Format: Article
Language:English
Published: MDPI AG 2022-12-01
Series:Sensors
Subjects:
Online Access:https://www.mdpi.com/1424-8220/23/1/167
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author Valentina Schenone
Claudio Estatico
Gian Luigi Gragnani
Matteo Pastorino
Andrea Randazzo
Alessandro Fedeli
author_facet Valentina Schenone
Claudio Estatico
Gian Luigi Gragnani
Matteo Pastorino
Andrea Randazzo
Alessandro Fedeli
author_sort Valentina Schenone
collection DOAJ
description A microwave characterization technique to inspect subsurface scenarios is proposed and numerically assessed in this paper. The approach is based on a combination of finite element electromagnetic modeling and an inversion procedure in Lebesgue spaces with variable exponents. The former allows for description of the measurement system and subsurface scenario with high accuracy, while the latter exploits the adaptive definition of exponent function to achieve improved results in the regularized solution of the inverse scattering problem. The method has been assessed with numerical simulations regarding two-layered environments with both planar and non-planar air–soil interfaces. The results show the capabilities of the method of detecting buried objects in different operative conditions.
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spelling doaj.art-c1cb6f7d9fba40ea834ed977b028663a2023-12-02T00:53:52ZengMDPI AGSensors1424-82202022-12-0123116710.3390/s23010167Microwave-Based Subsurface Characterization through a Combined Finite Element and Variable Exponent Spaces TechniqueValentina Schenone0Claudio Estatico1Gian Luigi Gragnani2Matteo Pastorino3Andrea Randazzo4Alessandro Fedeli5Department of Electrical, Electronic, Telecommunications Engineering, and Naval Architecture, University of Genoa, 16145 Genoa, ItalyDepartment of Mathematics, University of Genoa, 16146 Genoa, ItalyDepartment of Electrical, Electronic, Telecommunications Engineering, and Naval Architecture, University of Genoa, 16145 Genoa, ItalyDepartment of Electrical, Electronic, Telecommunications Engineering, and Naval Architecture, University of Genoa, 16145 Genoa, ItalyDepartment of Electrical, Electronic, Telecommunications Engineering, and Naval Architecture, University of Genoa, 16145 Genoa, ItalyDepartment of Electrical, Electronic, Telecommunications Engineering, and Naval Architecture, University of Genoa, 16145 Genoa, ItalyA microwave characterization technique to inspect subsurface scenarios is proposed and numerically assessed in this paper. The approach is based on a combination of finite element electromagnetic modeling and an inversion procedure in Lebesgue spaces with variable exponents. The former allows for description of the measurement system and subsurface scenario with high accuracy, while the latter exploits the adaptive definition of exponent function to achieve improved results in the regularized solution of the inverse scattering problem. The method has been assessed with numerical simulations regarding two-layered environments with both planar and non-planar air–soil interfaces. The results show the capabilities of the method of detecting buried objects in different operative conditions.https://www.mdpi.com/1424-8220/23/1/167finite elementinverse scatteringLebesgue spacessubsurface imaging
spellingShingle Valentina Schenone
Claudio Estatico
Gian Luigi Gragnani
Matteo Pastorino
Andrea Randazzo
Alessandro Fedeli
Microwave-Based Subsurface Characterization through a Combined Finite Element and Variable Exponent Spaces Technique
Sensors
finite element
inverse scattering
Lebesgue spaces
subsurface imaging
title Microwave-Based Subsurface Characterization through a Combined Finite Element and Variable Exponent Spaces Technique
title_full Microwave-Based Subsurface Characterization through a Combined Finite Element and Variable Exponent Spaces Technique
title_fullStr Microwave-Based Subsurface Characterization through a Combined Finite Element and Variable Exponent Spaces Technique
title_full_unstemmed Microwave-Based Subsurface Characterization through a Combined Finite Element and Variable Exponent Spaces Technique
title_short Microwave-Based Subsurface Characterization through a Combined Finite Element and Variable Exponent Spaces Technique
title_sort microwave based subsurface characterization through a combined finite element and variable exponent spaces technique
topic finite element
inverse scattering
Lebesgue spaces
subsurface imaging
url https://www.mdpi.com/1424-8220/23/1/167
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AT claudioestatico microwavebasedsubsurfacecharacterizationthroughacombinedfiniteelementandvariableexponentspacestechnique
AT gianluigigragnani microwavebasedsubsurfacecharacterizationthroughacombinedfiniteelementandvariableexponentspacestechnique
AT matteopastorino microwavebasedsubsurfacecharacterizationthroughacombinedfiniteelementandvariableexponentspacestechnique
AT andrearandazzo microwavebasedsubsurfacecharacterizationthroughacombinedfiniteelementandvariableexponentspacestechnique
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