{"id":"https://openalex.org/W4399563333","doi":"https://doi.org/10.1109/tim.2024.3413176","title":"Magnetic Field Coil Design Based on Distributed Taylor Expansion: Toward Large Uniform Area With High Orthogonality and Self-Shielding Feature","display_name":"Magnetic Field Coil Design Based on Distributed Taylor Expansion: Toward Large Uniform Area With High Orthogonality and Self-Shielding Feature","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4399563333","doi":"https://doi.org/10.1109/tim.2024.3413176"},"language":"en","primary_location":{"id":"doi:10.1109/tim.2024.3413176","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tim.2024.3413176","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/A5029346936","display_name":"Shuying Wang","orcid":"https://orcid.org/0000-0002-6631-7540"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shuying Wang","raw_affiliation_strings":["Key Laboratory of Ultra-Weak Magnetic Field Measurement Technology, Ministry of Education, School of Instrumentation and Optoelectronic Engineering and the Shen Yuan Honors College, Beihang University, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0002-6631-7540","affiliations":[{"raw_affiliation_string":"Key Laboratory of Ultra-Weak Magnetic Field Measurement Technology, Ministry of Education, School of Instrumentation and Optoelectronic Engineering and the Shen Yuan Honors College, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086353614","display_name":"Jixi Lu","orcid":"https://orcid.org/0000-0001-7846-5666"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jixi Lu","raw_affiliation_strings":["Key Laboratory of Ultra-Weak Magnetic Field Measurement Technology, Ministry of Education, School of Instrumentation and Optoelectronic Engineering and the Shen Yuan Honors College, Beihang University, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0001-7846-5666","affiliations":[{"raw_affiliation_string":"Key Laboratory of Ultra-Weak Magnetic Field Measurement Technology, Ministry of Education, School of Instrumentation and Optoelectronic Engineering and the Shen Yuan Honors College, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101546903","display_name":"Yujie Qian","orcid":"https://orcid.org/0009-0008-6967-3920"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yujie Qian","raw_affiliation_strings":["National Institute of Extremely-Weak Magnetic Field Infrastructure, Hangzhou, China"],"raw_orcid":"https://orcid.org/0009-0008-6967-3920","affiliations":[{"raw_affiliation_string":"National Institute of Extremely-Weak Magnetic Field Infrastructure, Hangzhou, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052221077","display_name":"Bo Li","orcid":"https://orcid.org/0000-0002-8641-0259"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bo Li","raw_affiliation_strings":["National Institute of Extremely-Weak Magnetic Field Infrastructure, Hangzhou, China"],"raw_orcid":"https://orcid.org/0000-0002-8641-0259","affiliations":[{"raw_affiliation_string":"National Institute of Extremely-Weak Magnetic Field Infrastructure, Hangzhou, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100677031","display_name":"Kaixuan Zhang","orcid":"https://orcid.org/0000-0003-1065-0595"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Kaixuan Zhang","raw_affiliation_strings":["National Institute of Extremely-Weak Magnetic Field Infrastructure, Hangzhou, China"],"raw_orcid":"https://orcid.org/0000-0003-1065-0595","affiliations":[{"raw_affiliation_string":"National Institute of Extremely-Weak Magnetic Field Infrastructure, Hangzhou, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053303893","display_name":"Xihui Ye","orcid":"https://orcid.org/0009-0003-1053-7266"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xihui Ye","raw_affiliation_strings":["Key Laboratory of Ultra-Weak Magnetic Field Measurement Technology, Ministry of Education, School of Instrumentation and Optoelectronic Engineering and the Shen Yuan Honors College, Beihang University, Beijing, China"],"raw_orcid":"https://orcid.org/0009-0003-1053-7266","affiliations":[{"raw_affiliation_string":"Key Laboratory of Ultra-Weak Magnetic Field Measurement Technology, Ministry of Education, School of Instrumentation and Optoelectronic Engineering and the Shen Yuan Honors College, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039663915","display_name":"Xiaoyan Gao","orcid":"https://orcid.org/0009-0002-1437-6781"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaoyan Gao","raw_affiliation_strings":["Key Laboratory of Ultra-Weak Magnetic Field Measurement Technology, Ministry of Education, School of Instrumentation and Optoelectronic Engineering and the Shen Yuan Honors College, Beihang University, Beijing, China"],"raw_orcid":"https://orcid.org/0009-0002-1437-6781","affiliations":[{"raw_affiliation_string":"Key Laboratory of Ultra-Weak Magnetic Field Measurement Technology, Ministry of Education, School of Instrumentation and Optoelectronic Engineering and the Shen Yuan Honors College, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":7,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.6511,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.64158435,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"73","issue":null,"first_page":"1","last_page":"10"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11808","display_name":"Superconducting Materials and Applications","score":0.9718000292778015,"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"}},"topics":[{"id":"https://openalex.org/T11808","display_name":"Superconducting Materials and Applications","score":0.9718000292778015,"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/T10278","display_name":"Electric Motor Design and Analysis","score":0.9532999992370605,"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/T11782","display_name":"Magnetic Properties of Alloys","score":0.9340000152587891,"subfield":{"id":"https://openalex.org/subfields/2504","display_name":"Electronic, Optical and Magnetic Materials"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/electromagnetic-shielding","display_name":"Electromagnetic shielding","score":0.837099015712738},{"id":"https://openalex.org/keywords/orthogonality","display_name":"Orthogonality","score":0.7668691873550415},{"id":"https://openalex.org/keywords/electromagnetic-coil","display_name":"Electromagnetic coil","score":0.6836925745010376},{"id":"https://openalex.org/keywords/feature","display_name":"Feature (linguistics)","score":0.4833800196647644},{"id":"https://openalex.org/keywords/magnetic-field","display_name":"Magnetic field","score":0.4540766179561615},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.4517579972743988},{"id":"https://openalex.org/keywords/taylor-series","display_name":"Taylor series","score":0.41989371180534363},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.41211628913879395},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3775877356529236},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.37446293234825134},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.348755419254303},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.330617219209671},{"id":"https://openalex.org/keywords/nuclear-magnetic-resonance","display_name":"Nuclear magnetic resonance","score":0.32771724462509155},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.227494478225708},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2219708263874054},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1470908224582672}],"concepts":[{"id":"https://openalex.org/C2265751","wikidata":"https://www.wikidata.org/wiki/Q332007","display_name":"Electromagnetic shielding","level":2,"score":0.837099015712738},{"id":"https://openalex.org/C17137986","wikidata":"https://www.wikidata.org/wiki/Q215067","display_name":"Orthogonality","level":2,"score":0.7668691873550415},{"id":"https://openalex.org/C30403606","wikidata":"https://www.wikidata.org/wiki/Q2981904","display_name":"Electromagnetic coil","level":2,"score":0.6836925745010376},{"id":"https://openalex.org/C2776401178","wikidata":"https://www.wikidata.org/wiki/Q12050496","display_name":"Feature (linguistics)","level":2,"score":0.4833800196647644},{"id":"https://openalex.org/C115260700","wikidata":"https://www.wikidata.org/wiki/Q11408","display_name":"Magnetic field","level":2,"score":0.4540766179561615},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.4517579972743988},{"id":"https://openalex.org/C158946198","wikidata":"https://www.wikidata.org/wiki/Q131187","display_name":"Taylor series","level":2,"score":0.41989371180534363},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.41211628913879395},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3775877356529236},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.37446293234825134},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.348755419254303},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.330617219209671},{"id":"https://openalex.org/C46141821","wikidata":"https://www.wikidata.org/wiki/Q209402","display_name":"Nuclear magnetic resonance","level":1,"score":0.32771724462509155},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.227494478225708},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2219708263874054},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1470908224582672},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tim.2024.3413176","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tim.2024.3413176","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4430665338","display_name":null,"funder_award_id":"42388101","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":53,"referenced_works":["https://openalex.org/W1963919378","https://openalex.org/W1965647173","https://openalex.org/W1973084580","https://openalex.org/W1999959164","https://openalex.org/W2003139771","https://openalex.org/W2010111760","https://openalex.org/W2026564313","https://openalex.org/W2044030624","https://openalex.org/W2048920309","https://openalex.org/W2053281699","https://openalex.org/W2079185403","https://openalex.org/W2136518918","https://openalex.org/W2138131075","https://openalex.org/W2791548393","https://openalex.org/W2884891549","https://openalex.org/W2885093294","https://openalex.org/W2887657914","https://openalex.org/W2905689665","https://openalex.org/W2913588608","https://openalex.org/W2918848090","https://openalex.org/W2929447624","https://openalex.org/W2965540793","https://openalex.org/W3017898518","https://openalex.org/W3037447387","https://openalex.org/W3084271694","https://openalex.org/W3087839824","https://openalex.org/W3097136691","https://openalex.org/W3097878976","https://openalex.org/W3100712047","https://openalex.org/W3118704446","https://openalex.org/W3136373972","https://openalex.org/W3150857098","https://openalex.org/W3170224121","https://openalex.org/W3195022206","https://openalex.org/W4200325664","https://openalex.org/W4205820652","https://openalex.org/W4210251548","https://openalex.org/W4213432262","https://openalex.org/W4214563879","https://openalex.org/W4230713808","https://openalex.org/W4240549567","https://openalex.org/W4285197427","https://openalex.org/W4285491167","https://openalex.org/W4312292549","https://openalex.org/W4381785713","https://openalex.org/W4383742117","https://openalex.org/W4384304866","https://openalex.org/W4385955348","https://openalex.org/W4386702697","https://openalex.org/W4389887780","https://openalex.org/W4390826283","https://openalex.org/W4391164111","https://openalex.org/W4391888287"],"related_works":["https://openalex.org/W2095582735","https://openalex.org/W2059318893","https://openalex.org/W1965698851","https://openalex.org/W834942123","https://openalex.org/W4232542516","https://openalex.org/W4233910537","https://openalex.org/W1967331680","https://openalex.org/W3176637561","https://openalex.org/W1587967017","https://openalex.org/W130629949"],"abstract_inverted_index":{"The":[0,130],"uniform":[1,27,152],"magnetic":[2,34,44,83,104,128,132],"field":[3,45,84,105,133],"coils":[4],"have":[5],"typically":[6],"served":[7],"as":[8],"important":[9],"devices":[10],"for":[11],"concern":[12],"in":[13],"various":[14,49],"scientific":[15],"research":[16],"and":[17,29,79,92,99,122,139,157,174,179],"application":[18,177],"fields.":[19,129],"However,":[20],"due":[21],"to":[22,40,68,117],"the":[23,30,42,70,75,81,90,97,102,111,119,143,167],"insufficient":[24],"proportion":[25],"of":[26,32,48,94,101],"areas":[28],"presence":[31],"stray":[33,127],"fields,":[35],"conventional":[36,76],"coil":[37,77,172],"systems":[38],"fail":[39],"meet":[41],"high-precision":[43],"distribution":[46],"requirements":[47],"applications.":[50],"Therefore,":[51],"this":[52],"study":[53],"proposes":[54],"a":[55],"distributed":[56],"Taylor":[57,62],"expansion":[58],"method":[59,169],"based":[60],"on":[61],"series":[63],"convergence":[64],"analysis":[65],"within":[66],"intervals,":[67],"solve":[69],"divergence":[71],"problem":[72],"associated":[73],"with":[74,154],"design":[78],"increase":[80],"effective":[82],"working":[85],"area.":[86],"In":[87],"addition,":[88],"through":[89,137],"creation":[91],"screening":[93],"characteristic":[95,163],"functions,":[96],"orthogonality":[98,156],"attenuation":[100],"generated":[103],"are":[106],"comprehensively":[107,170],"improved":[108],"without":[109],"changing":[110],"basic":[112],"structure,":[113],"which":[114],"is":[115],"beneficial":[116],"solving":[118],"common":[120],"crosstalk":[121],"coupling":[123],"problems":[124],"caused":[125],"by":[126,161],"relevant":[131],"characteristics":[134],"were":[135],"verified":[136],"simulations":[138],"experiments,":[140],"demonstrating":[141],"that":[142],"designed":[144],"square-coil":[145],"system":[146],"can":[147],"achieve":[148],"significantly":[149],"increased":[150],"large":[151],"area":[153],"high":[155],"self-shielding":[158],"features":[159],"evaluated":[160],"suitable":[162],"functions":[164],"established.":[165],"Thus,":[166],"proposed":[168],"improves":[171],"performance":[173],"has":[175],"strong":[176],"advantages":[178],"potential.":[180]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}