{"id":"https://openalex.org/W3212122708","doi":"https://doi.org/10.1109/tim.2021.3126376","title":"Closed-Form Expressions of Electric and Magnetic Near-Fields for the Calibration of Near-Field Probes","display_name":"Closed-Form Expressions of Electric and Magnetic Near-Fields for the Calibration of Near-Field Probes","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3212122708","doi":"https://doi.org/10.1109/tim.2021.3126376","mag":"3212122708"},"language":"en","primary_location":{"id":"doi:10.1109/tim.2021.3126376","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tim.2021.3126376","pdf_url":null,"source":{"id":"https://openalex.org/S10892749","display_name":"IEEE Transactions on Instrumentation and Measurement","issn_l":"0018-9456","issn":["0018-9456","1557-9662"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Instrumentation and Measurement","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5013092794","display_name":"Alexandre Boyer","orcid":"https://orcid.org/0000-0003-4955-5915"},"institutions":[{"id":"https://openalex.org/I17866349","display_name":"Universit\u00e9 F\u00e9d\u00e9rale de Toulouse Midi-Pyr\u00e9n\u00e9es","ror":"https://ror.org/004raaa70","country_code":"FR","type":"education","lineage":["https://openalex.org/I17866349"]},{"id":"https://openalex.org/I190497903","display_name":"Laboratoire d'Analyse et d'Architecture des Syst\u00e8mes","ror":"https://ror.org/03vcm6439","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I190497903","https://openalex.org/I193033237","https://openalex.org/I196454796","https://openalex.org/I205747304","https://openalex.org/I4210095849","https://openalex.org/I4210152422","https://openalex.org/I4210159245","https://openalex.org/I4405258862","https://openalex.org/I4405259414"]},{"id":"https://openalex.org/I196454796","display_name":"Institut National des Sciences Appliqu\u00e9es de Toulouse","ror":"https://ror.org/01h8pf755","country_code":"FR","type":"education","lineage":["https://openalex.org/I196454796"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"A. Boyer","raw_affiliation_strings":["LAAS, Univ. de Toulouse, INSA, Toulouse, France. (e-mail: alexandre.boyer@laas.fr)","LAAS-ESE - \u00c9quipe \u00c9nergie et Syst\u00e8mes Embarqu\u00e9s (France)"],"raw_orcid":"https://orcid.org/0000-0003-4955-5915","affiliations":[{"raw_affiliation_string":"LAAS, Univ. de Toulouse, INSA, Toulouse, France. (e-mail: alexandre.boyer@laas.fr)","institution_ids":["https://openalex.org/I17866349","https://openalex.org/I190497903","https://openalex.org/I196454796"]},{"raw_affiliation_string":"LAAS-ESE - \u00c9quipe \u00c9nergie et Syst\u00e8mes Embarqu\u00e9s (France)","institution_ids":["https://openalex.org/I190497903"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065397036","display_name":"Nicolas Nolhier","orcid":"https://orcid.org/0000-0002-0615-6941"},"institutions":[{"id":"https://openalex.org/I190497903","display_name":"Laboratoire d'Analyse et d'Architecture des Syst\u00e8mes","ror":"https://ror.org/03vcm6439","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I190497903","https://openalex.org/I193033237","https://openalex.org/I196454796","https://openalex.org/I205747304","https://openalex.org/I4210095849","https://openalex.org/I4210152422","https://openalex.org/I4210159245","https://openalex.org/I4405258862","https://openalex.org/I4405259414"]},{"id":"https://openalex.org/I196454796","display_name":"Institut National des Sciences Appliqu\u00e9es de Toulouse","ror":"https://ror.org/01h8pf755","country_code":"FR","type":"education","lineage":["https://openalex.org/I196454796"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"N. Nolhier","raw_affiliation_strings":["LAAS, Univ. de Toulouse, INSA, Toulouse, France","LAAS-ESE - \u00c9quipe \u00c9nergie et Syst\u00e8mes Embarqu\u00e9s (France)"],"raw_orcid":"https://orcid.org/0000-0002-0615-6941","affiliations":[{"raw_affiliation_string":"LAAS, Univ. de Toulouse, INSA, Toulouse, France","institution_ids":["https://openalex.org/I190497903","https://openalex.org/I196454796"]},{"raw_affiliation_string":"LAAS-ESE - \u00c9quipe \u00c9nergie et Syst\u00e8mes Embarqu\u00e9s (France)","institution_ids":["https://openalex.org/I190497903"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031917499","display_name":"Fabrice Caignet","orcid":"https://orcid.org/0000-0003-2166-9347"},"institutions":[{"id":"https://openalex.org/I190497903","display_name":"Laboratoire d'Analyse et d'Architecture des Syst\u00e8mes","ror":"https://ror.org/03vcm6439","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I190497903","https://openalex.org/I193033237","https://openalex.org/I196454796","https://openalex.org/I205747304","https://openalex.org/I4210095849","https://openalex.org/I4210152422","https://openalex.org/I4210159245","https://openalex.org/I4405258862","https://openalex.org/I4405259414"]},{"id":"https://openalex.org/I196454796","display_name":"Institut National des Sciences Appliqu\u00e9es de Toulouse","ror":"https://ror.org/01h8pf755","country_code":"FR","type":"education","lineage":["https://openalex.org/I196454796"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"F. Caignet","raw_affiliation_strings":["LAAS, Univ. de Toulouse, INSA, Toulouse, France","LAAS-ESE - \u00c9quipe \u00c9nergie et Syst\u00e8mes Embarqu\u00e9s (France)"],"raw_orcid":"https://orcid.org/0000-0003-2166-9347","affiliations":[{"raw_affiliation_string":"LAAS, Univ. de Toulouse, INSA, Toulouse, France","institution_ids":["https://openalex.org/I190497903","https://openalex.org/I196454796"]},{"raw_affiliation_string":"LAAS-ESE - \u00c9quipe \u00c9nergie et Syst\u00e8mes Embarqu\u00e9s (France)","institution_ids":["https://openalex.org/I190497903"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5114089479","display_name":"Sonia Ben Dhia","orcid":null},"institutions":[{"id":"https://openalex.org/I190497903","display_name":"Laboratoire d'Analyse et d'Architecture des Syst\u00e8mes","ror":"https://ror.org/03vcm6439","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I190497903","https://openalex.org/I193033237","https://openalex.org/I196454796","https://openalex.org/I205747304","https://openalex.org/I4210095849","https://openalex.org/I4210152422","https://openalex.org/I4210159245","https://openalex.org/I4405258862","https://openalex.org/I4405259414"]},{"id":"https://openalex.org/I196454796","display_name":"Institut National des Sciences Appliqu\u00e9es de Toulouse","ror":"https://ror.org/01h8pf755","country_code":"FR","type":"education","lineage":["https://openalex.org/I196454796"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"S. Ben Dhia","raw_affiliation_strings":["LAAS, Univ. de Toulouse, INSA, Toulouse, France","LAAS-ESE - \u00c9quipe \u00c9nergie et Syst\u00e8mes Embarqu\u00e9s (France)"],"raw_orcid":"https://orcid.org/0000-0002-5781-3737","affiliations":[{"raw_affiliation_string":"LAAS, Univ. de Toulouse, INSA, Toulouse, France","institution_ids":["https://openalex.org/I190497903","https://openalex.org/I196454796"]},{"raw_affiliation_string":"LAAS-ESE - \u00c9quipe \u00c9nergie et Syst\u00e8mes Embarqu\u00e9s (France)","institution_ids":["https://openalex.org/I190497903"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.5277,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.82114733,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"70","issue":null,"first_page":"1","last_page":"15"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11851","display_name":"Electromagnetic Compatibility and Measurements","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11851","display_name":"Electromagnetic Compatibility and Measurements","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12466","display_name":"Near-Field Optical Microscopy","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11946","display_name":"Antenna Design and Optimization","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/calibration","display_name":"Calibration","score":0.726819634437561},{"id":"https://openalex.org/keywords/electric-field","display_name":"Electric field","score":0.619985044002533},{"id":"https://openalex.org/keywords/magnetic-field","display_name":"Magnetic field","score":0.5648260116577148},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.460616797208786},{"id":"https://openalex.org/keywords/nuclear-magnetic-resonance","display_name":"Nuclear magnetic resonance","score":0.4324359893798828},{"id":"https://openalex.org/keywords/computational-physics","display_name":"Computational physics","score":0.35816800594329834},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.3443312644958496},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.33326563239097595},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.32332754135131836},{"id":"https://openalex.org/keywords/acoustics","display_name":"Acoustics","score":0.3218258023262024},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32079243659973145},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.25692176818847656}],"concepts":[{"id":"https://openalex.org/C165838908","wikidata":"https://www.wikidata.org/wiki/Q736777","display_name":"Calibration","level":2,"score":0.726819634437561},{"id":"https://openalex.org/C60799052","wikidata":"https://www.wikidata.org/wiki/Q46221","display_name":"Electric field","level":2,"score":0.619985044002533},{"id":"https://openalex.org/C115260700","wikidata":"https://www.wikidata.org/wiki/Q11408","display_name":"Magnetic field","level":2,"score":0.5648260116577148},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.460616797208786},{"id":"https://openalex.org/C46141821","wikidata":"https://www.wikidata.org/wiki/Q209402","display_name":"Nuclear magnetic resonance","level":1,"score":0.4324359893798828},{"id":"https://openalex.org/C30475298","wikidata":"https://www.wikidata.org/wiki/Q909554","display_name":"Computational physics","level":1,"score":0.35816800594329834},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.3443312644958496},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.33326563239097595},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.32332754135131836},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.3218258023262024},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32079243659973145},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.25692176818847656},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tim.2021.3126376","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tim.2021.3126376","pdf_url":null,"source":{"id":"https://openalex.org/S10892749","display_name":"IEEE Transactions on Instrumentation and Measurement","issn_l":"0018-9456","issn":["0018-9456","1557-9662"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Instrumentation and Measurement","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-03423272v1","is_oa":false,"landing_page_url":"https://hal.science/hal-03423272","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Instrumentation and Measurement, 2021, 70, &#x27E8;10.1109/TIM.2021.3126376&#x27E9;","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1517338300","https://openalex.org/W1523927849","https://openalex.org/W1565593134","https://openalex.org/W2049478319","https://openalex.org/W2053501174","https://openalex.org/W2098372710","https://openalex.org/W2099399130","https://openalex.org/W2100618431","https://openalex.org/W2101877670","https://openalex.org/W2126115047","https://openalex.org/W2135632680","https://openalex.org/W2163170703","https://openalex.org/W2289239214","https://openalex.org/W2431106390","https://openalex.org/W2796136169","https://openalex.org/W2797038712","https://openalex.org/W2981711789","https://openalex.org/W3044397159","https://openalex.org/W6749914162"],"related_works":["https://openalex.org/W2362645459","https://openalex.org/W4377941396","https://openalex.org/W2909125451","https://openalex.org/W2011906856","https://openalex.org/W2973491786","https://openalex.org/W3197962506","https://openalex.org/W4224436004","https://openalex.org/W3201314611","https://openalex.org/W2374797803","https://openalex.org/W4294838556"],"abstract_inverted_index":{"Near-field":[0],"scan":[1],"is":[2,33,45,52,162],"a":[3,72,86],"powerful":[4],"method":[5],"to":[6,30,67,99,169],"diagnose":[7],"EMC":[8,130],"issues.":[9],"Some":[10],"of":[11,17,56,59,65,88,116,126,150,177],"related":[12],"applications":[13],"require":[14],"quantitative":[15],"measurement":[16],"near-field,":[18],"which":[19,70,119,144],"relies":[20],"on":[21,96],"calibrated":[22,140],"near-field":[23,43,101,152],"probes.":[24],"A":[25,159],"typical":[26],"and":[27,48,62,85,106,134],"convenient":[28],"structure":[29,39],"calibrate":[31],"them":[32],"the":[34,57,63,82,113,127,148,151,155,166,172,178],"microstrip":[35,104],"line.":[36],"Although":[37],"this":[38,75,117],"seems":[40],"simple,":[41],"determining":[42],"distribution":[44,102],"not":[46],"straightforward":[47],"3D":[49],"electromagnetic":[50,60],"simulation":[51],"usually":[53],"preferred.":[54],"Because":[55],"complexity":[58],"solvers":[61],"dependence":[64],"results":[66],"their":[68],"configuration":[69],"requires":[71],"solid":[73],"expertise,":[74],"approach":[76],"introduces":[77],"an":[78],"additional":[79],"difficulty":[80],"in":[81,129],"calibration":[83,108,167],"process":[84,168],"source":[87],"uncertainty.":[89],"This":[90],"paper":[91,111],"proposes":[92],"closed-form":[93],"expressions":[94],"based":[95],"quasi-static":[97],"approximation":[98],"calculate":[100],"over":[103],"line":[105],"simple":[107],"structures.":[109],"The":[110],"specifies":[112],"frequency":[114],"limits":[115],"method,":[118],"can":[120],"reach":[121],"several":[122],"GHz,":[123],"covering":[124],"most":[125],"needs":[128],"diagnosis":[131],"at":[132],"PCB":[133],"IC":[135],"level.":[136],"Several":[137],"probes":[138],"are":[139,145],"with":[141],"these":[142],"formulations,":[143],"validated":[146],"through":[147],"comparison":[149],"measurements":[153],"above":[154],"same":[156],"case":[157],"study.":[158],"special":[160],"care":[161],"also":[163],"provided":[164],"during":[165],"ensure":[170],"that":[171],"probe":[173,179],"characteristics":[174],"remains":[175],"independent":[176],"height.":[180]},"counts_by_year":[{"year":2026,"cited_by_count":5},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":4}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}
