Pattern Reconstruction from Near-Field Data Affected by 3D Probe Positioning Errors Collected via Planar-Wide Mesh Scanning

An effective procedure to correct known 3D probe positioning errors affecting the near-field–far-field transformation (NF–FF) with non-conventional plane rectangular scanning, named planar wide-mesh scanning (PWMS), is developed in this paper. It relies on the non-redundant sampling representations...

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Main Authors: Florindo Bevilacqua, Francesco D’Agostino, Flaminio Ferrara, Claudio Gennarelli, Rocco Guerriero, Massimo Migliozzi, Giovanni Riccio
Format: Article
Language:English
Published: MDPI AG 2023-01-01
Series:Electronics
Subjects:
Online Access:https://www.mdpi.com/2079-9292/12/3/542
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author Florindo Bevilacqua
Francesco D’Agostino
Flaminio Ferrara
Claudio Gennarelli
Rocco Guerriero
Massimo Migliozzi
Giovanni Riccio
author_facet Florindo Bevilacqua
Francesco D’Agostino
Flaminio Ferrara
Claudio Gennarelli
Rocco Guerriero
Massimo Migliozzi
Giovanni Riccio
author_sort Florindo Bevilacqua
collection DOAJ
description An effective procedure to correct known 3D probe positioning errors affecting the near-field–far-field transformation (NF–FF) with non-conventional plane rectangular scanning, named planar wide-mesh scanning (PWMS), is developed in this paper. It relies on the non-redundant sampling representations of electromagnetic fields and related optimal sampling interpolation (OSI) expansions and has been devised when a quasi-planar antenna under test is considered as suitably modelled by either a double bowl or an oblate spheroid. Such an algorithm first makes use of the so-called <i>k-correction</i> to compensate for the errors occurring when the actual sampling points deviate from the acquisition plane and then adopts an iterative procedure to restore the NF samples at the points specified by the used non-redundant sampling representation from those obtained at the previous step and affected by 2D positioning errors. Finally, once the regularly arranged PWMS samples have been calculated, the NF data required to compute the classic plane-rectangular NF–FF transformation are accurately evaluated by using an effective 2D OSI algorithm. Several numerical results are presented in order to assess the effectiveness of the devised approach.
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spelling doaj.art-cfbe4b0f933849279d1c45d5507401052023-11-16T16:27:57ZengMDPI AGElectronics2079-92922023-01-0112354210.3390/electronics12030542Pattern Reconstruction from Near-Field Data Affected by 3D Probe Positioning Errors Collected via Planar-Wide Mesh ScanningFlorindo Bevilacqua0Francesco D’Agostino1Flaminio Ferrara2Claudio Gennarelli3Rocco Guerriero4Massimo Migliozzi5Giovanni Riccio6Department of Industrial Engineering, University of Salerno, Via Giovanni Paolo II, 84084 Fisciano (SA), ItalyDepartment of Industrial Engineering, University of Salerno, Via Giovanni Paolo II, 84084 Fisciano (SA), ItalyDepartment of Industrial Engineering, University of Salerno, Via Giovanni Paolo II, 84084 Fisciano (SA), ItalyDepartment of Industrial Engineering, University of Salerno, Via Giovanni Paolo II, 84084 Fisciano (SA), ItalyDepartment of Industrial Engineering, University of Salerno, Via Giovanni Paolo II, 84084 Fisciano (SA), ItalyDepartment of Industrial Engineering, University of Salerno, Via Giovanni Paolo II, 84084 Fisciano (SA), ItalyDepartment of Information and Electrical Engineering and Applied Mathematics, University of Salerno, Via Giovanni Paolo II, 84084 Fisciano (SA), ItalyAn effective procedure to correct known 3D probe positioning errors affecting the near-field–far-field transformation (NF–FF) with non-conventional plane rectangular scanning, named planar wide-mesh scanning (PWMS), is developed in this paper. It relies on the non-redundant sampling representations of electromagnetic fields and related optimal sampling interpolation (OSI) expansions and has been devised when a quasi-planar antenna under test is considered as suitably modelled by either a double bowl or an oblate spheroid. Such an algorithm first makes use of the so-called <i>k-correction</i> to compensate for the errors occurring when the actual sampling points deviate from the acquisition plane and then adopts an iterative procedure to restore the NF samples at the points specified by the used non-redundant sampling representation from those obtained at the previous step and affected by 2D positioning errors. Finally, once the regularly arranged PWMS samples have been calculated, the NF data required to compute the classic plane-rectangular NF–FF transformation are accurately evaluated by using an effective 2D OSI algorithm. Several numerical results are presented in order to assess the effectiveness of the devised approach.https://www.mdpi.com/2079-9292/12/3/542antenna characterizationnear-field–far-field transformation techniquesnon-redundant sampling representation of electromagnetic fieldsprobe positioning errors compensation
spellingShingle Florindo Bevilacqua
Francesco D’Agostino
Flaminio Ferrara
Claudio Gennarelli
Rocco Guerriero
Massimo Migliozzi
Giovanni Riccio
Pattern Reconstruction from Near-Field Data Affected by 3D Probe Positioning Errors Collected via Planar-Wide Mesh Scanning
Electronics
antenna characterization
near-field–far-field transformation techniques
non-redundant sampling representation of electromagnetic fields
probe positioning errors compensation
title Pattern Reconstruction from Near-Field Data Affected by 3D Probe Positioning Errors Collected via Planar-Wide Mesh Scanning
title_full Pattern Reconstruction from Near-Field Data Affected by 3D Probe Positioning Errors Collected via Planar-Wide Mesh Scanning
title_fullStr Pattern Reconstruction from Near-Field Data Affected by 3D Probe Positioning Errors Collected via Planar-Wide Mesh Scanning
title_full_unstemmed Pattern Reconstruction from Near-Field Data Affected by 3D Probe Positioning Errors Collected via Planar-Wide Mesh Scanning
title_short Pattern Reconstruction from Near-Field Data Affected by 3D Probe Positioning Errors Collected via Planar-Wide Mesh Scanning
title_sort pattern reconstruction from near field data affected by 3d probe positioning errors collected via planar wide mesh scanning
topic antenna characterization
near-field–far-field transformation techniques
non-redundant sampling representation of electromagnetic fields
probe positioning errors compensation
url https://www.mdpi.com/2079-9292/12/3/542
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