Singular spectrum analysis filtering and Fourier inversion: an efficient and fast way to improve resolution and quality of current density maps with low-cost Hall scanning systems

We provide a Biot–Savart inversion scheme that, for any two-dimensional, or bulk with planar crystallization, high-temperature superconducting (HTS) sample, determines current density maps with a higher resolution and accuracy than previous procedures and at a fraction of its computational cost. The...

ver descrição completa

Detalhes bibliográficos
Autores: Amorós, J., Duran, Arnau, Carrera i Vilanova, Miquel, López, Josep, Granados, X.
Tipo de documento: artigo
Estado:Versão publicada
Data de publicação:2019
País:España
Recursos:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositório:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:10459.1/72816
Acesso em linha:https://doi.org/10.1088/1361-6501/aaf13a
http://hdl.handle.net/10459.1/72816
Access Level:Acceso aberto
Palavra-chave:Biot–Savart inversion
SSA filtering
Fast Fourier transform
Hall magnetometry
id ES_22f4e7931696affc3dfbaa5d2b05efde
oai_identifier_str oai:recercat.cat:10459.1/72816
network_acronym_str ES
network_name_str España
repository_id_str
spelling Singular spectrum analysis filtering and Fourier inversion: an efficient and fast way to improve resolution and quality of current density maps with low-cost Hall scanning systemsAmorós, J.Duran, ArnauCarrera i Vilanova, MiquelLópez, JosepGranados, X.Biot–Savart inversionSSA filteringFast Fourier transformHall magnetometryWe provide a Biot–Savart inversion scheme that, for any two-dimensional, or bulk with planar crystallization, high-temperature superconducting (HTS) sample, determines current density maps with a higher resolution and accuracy than previous procedures and at a fraction of its computational cost. The starting point of our scheme is a Hall scanning microscopy map of the out-of-plane component of the magnetic field generated by the current. Such maps are noisy in scans of real samples with commercial-grade equipment, and their error is the limiting factor in any Biot–Savart inversion scheme. The main innovation of our proposed scheme is a singular spectrum analysis (SSA) filtering of the Hall probe maps, which cancels measurement errors such as noise or drifts without introducing any artifacts in the field map. The SSA filtering of the Hall probe data is so successful in this task that the resulting magnetic field map does not require an overdetermined QR inversion, allowing Fourier inversion of the Biot–Savart problem. Our implementation of SSA filtering of the Hall scan measurements, followed by Biot–Savart inversion using the fast Fourier transform (FFT), is applied to both simulations and real samples of HTS tape stacks. The algorithm works in cases where ill conditioning ruled out the application of Fourier inversion, and achieves a finer resolution for a fraction of the cost of the QR inversion used to date. The computation passes physical and statistical validity tests in all cases, and in three-dimensional samples it is shown to yield the average, with a depth-dependent weight, of the current density circulating in the different layers of the sample.We acknowledge the financial support from the Spanish Ministry of Economy and Competitiveness through the Severo Ochoa Programme (SEV-2015-0496), CONSOLIDER Excellence Network (MAT2015-68994-REDC), COACHSUPENERGY project (MAT2014-51778-C2-1-R, co-financed by FEDER), GAP project (MTM2015-69135-P) and SUPERINKS project (RTC-2015-3640-3, co-financed by FEDER); the European Union for the FASTGRID project (H2020-NMBP-18-2016-IA-72109) and WPMAG 5 (H2020-EUROfusion); and the Catalan Government with 2017-SGR-932, 2014-SGR-753 and Xarmae.IOP Publishing202220222019info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttps://doi.org/10.1088/1361-6501/aaf13ahttp://hdl.handle.net/10459.1/72816http://hdl.handle.net/10459.1/72816reponame:Recercat. Dipósit de la Recerca de Catalunyainstname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)Inglésinfo:eu-repo/grantAgreement/MINECO//MAT2015-68994-REDCinfo:eu-repo/grantAgreement/MINECO//MAT2014-51778-C2-1-RReproducció del document publicat a https://doi.org/10.1088/1361-6501/aaf13aMeasurement Science and Technology, 2019, vol. 30, núm. 1info:eu-repo/grantAgreement/EC/H2020/721019cc-by (c) Amorós et al., 2019info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/oai:recercat.cat:10459.1/728162026-05-29T05:05:01Z
dc.title.none.fl_str_mv Singular spectrum analysis filtering and Fourier inversion: an efficient and fast way to improve resolution and quality of current density maps with low-cost Hall scanning systems
title Singular spectrum analysis filtering and Fourier inversion: an efficient and fast way to improve resolution and quality of current density maps with low-cost Hall scanning systems
spellingShingle Singular spectrum analysis filtering and Fourier inversion: an efficient and fast way to improve resolution and quality of current density maps with low-cost Hall scanning systems
Amorós, J.
Biot–Savart inversion
SSA filtering
Fast Fourier transform
Hall magnetometry
title_short Singular spectrum analysis filtering and Fourier inversion: an efficient and fast way to improve resolution and quality of current density maps with low-cost Hall scanning systems
title_full Singular spectrum analysis filtering and Fourier inversion: an efficient and fast way to improve resolution and quality of current density maps with low-cost Hall scanning systems
title_fullStr Singular spectrum analysis filtering and Fourier inversion: an efficient and fast way to improve resolution and quality of current density maps with low-cost Hall scanning systems
title_full_unstemmed Singular spectrum analysis filtering and Fourier inversion: an efficient and fast way to improve resolution and quality of current density maps with low-cost Hall scanning systems
title_sort Singular spectrum analysis filtering and Fourier inversion: an efficient and fast way to improve resolution and quality of current density maps with low-cost Hall scanning systems
dc.creator.none.fl_str_mv Amorós, J.
Duran, Arnau
Carrera i Vilanova, Miquel
López, Josep
Granados, X.
author Amorós, J.
author_facet Amorós, J.
Duran, Arnau
Carrera i Vilanova, Miquel
López, Josep
Granados, X.
author_role author
author2 Duran, Arnau
Carrera i Vilanova, Miquel
López, Josep
Granados, X.
author2_role author
author
author
author
dc.subject.none.fl_str_mv Biot–Savart inversion
SSA filtering
Fast Fourier transform
Hall magnetometry
topic Biot–Savart inversion
SSA filtering
Fast Fourier transform
Hall magnetometry
description We provide a Biot–Savart inversion scheme that, for any two-dimensional, or bulk with planar crystallization, high-temperature superconducting (HTS) sample, determines current density maps with a higher resolution and accuracy than previous procedures and at a fraction of its computational cost. The starting point of our scheme is a Hall scanning microscopy map of the out-of-plane component of the magnetic field generated by the current. Such maps are noisy in scans of real samples with commercial-grade equipment, and their error is the limiting factor in any Biot–Savart inversion scheme. The main innovation of our proposed scheme is a singular spectrum analysis (SSA) filtering of the Hall probe maps, which cancels measurement errors such as noise or drifts without introducing any artifacts in the field map. The SSA filtering of the Hall probe data is so successful in this task that the resulting magnetic field map does not require an overdetermined QR inversion, allowing Fourier inversion of the Biot–Savart problem. Our implementation of SSA filtering of the Hall scan measurements, followed by Biot–Savart inversion using the fast Fourier transform (FFT), is applied to both simulations and real samples of HTS tape stacks. The algorithm works in cases where ill conditioning ruled out the application of Fourier inversion, and achieves a finer resolution for a fraction of the cost of the QR inversion used to date. The computation passes physical and statistical validity tests in all cases, and in three-dimensional samples it is shown to yield the average, with a depth-dependent weight, of the current density circulating in the different layers of the sample.
publishDate 2019
dc.date.none.fl_str_mv 2019
2022
2022
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://doi.org/10.1088/1361-6501/aaf13a
http://hdl.handle.net/10459.1/72816
http://hdl.handle.net/10459.1/72816
url https://doi.org/10.1088/1361-6501/aaf13a
http://hdl.handle.net/10459.1/72816
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv info:eu-repo/grantAgreement/MINECO//MAT2015-68994-REDC
info:eu-repo/grantAgreement/MINECO//MAT2014-51778-C2-1-R
Reproducció del document publicat a https://doi.org/10.1088/1361-6501/aaf13a
Measurement Science and Technology, 2019, vol. 30, núm. 1
info:eu-repo/grantAgreement/EC/H2020/721019
dc.rights.none.fl_str_mv cc-by (c) Amorós et al., 2019
info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/4.0/
rights_invalid_str_mv cc-by (c) Amorós et al., 2019
http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv IOP Publishing
publisher.none.fl_str_mv IOP Publishing
dc.source.none.fl_str_mv reponame:Recercat. Dipósit de la Recerca de Catalunya
instname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
instname_str Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
reponame_str Recercat. Dipósit de la Recerca de Catalunya
collection Recercat. Dipósit de la Recerca de Catalunya
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869404612279140352
score 15.811543

Registros relacionados