{"id":"https://openalex.org/W4293812209","doi":"https://doi.org/10.1109/tim.2022.3201500","title":"Design of Highly Uniform Field Coils Based on the Magnetic Field Coupling Model and Improved PSO Algorithm in Atomic Sensors","display_name":"Design of Highly Uniform Field Coils Based on the Magnetic Field Coupling Model and Improved PSO Algorithm in Atomic Sensors","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W4293812209","doi":"https://doi.org/10.1109/tim.2022.3201500"},"language":"en","primary_location":{"id":"doi:10.1109/tim.2022.3201500","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tim.2022.3201500","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/A5048616943","display_name":"Haoying Pang","orcid":"https://orcid.org/0000-0002-6219-1231"},"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":true,"raw_author_name":"Haoying Pang","raw_affiliation_strings":["School of Instrumentation and Optoelectronic Engineering, Beihang University, Beijing, China","Hangzhou Innovation Institute, Zhejiang Provincial Key Laboratory of Ultra-Weak Magnetic-Field Space and Applied Technology, Beihang University, Hangzhou, China"],"raw_orcid":"https://orcid.org/0000-0002-6219-1231","affiliations":[{"raw_affiliation_string":"School of Instrumentation and Optoelectronic Engineering, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]},{"raw_affiliation_string":"Hangzhou Innovation Institute, Zhejiang Provincial Key Laboratory of Ultra-Weak Magnetic-Field Space and Applied Technology, Beihang University, Hangzhou, China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050566348","display_name":"Wenfeng Fan","orcid":"https://orcid.org/0000-0002-8624-9215"},"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":"Wenfeng Fan","raw_affiliation_strings":["School of Instrumentation and Optoelectronic Engineering, Beihang University, Beijing, China","Hangzhou Innovation Institute, Zhejiang Provincial Key Laboratory of Ultra-Weak Magnetic-Field Space and Applied Technology, Beihang University, Hangzhou, China"],"raw_orcid":"https://orcid.org/0000-0002-8624-9215","affiliations":[{"raw_affiliation_string":"School of Instrumentation and Optoelectronic Engineering, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]},{"raw_affiliation_string":"Hangzhou Innovation Institute, Zhejiang Provincial Key Laboratory of Ultra-Weak Magnetic-Field Space and Applied Technology, Beihang University, Hangzhou, China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100415242","display_name":"Feng Liu","orcid":"https://orcid.org/0000-0002-0881-6085"},"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":"Feng Liu","raw_affiliation_strings":["School of Instrumentation and Optoelectronic Engineering, Beihang University, Beijing, China","Hangzhou Innovation Institute, Zhejiang Provincial Key Laboratory of Ultra-Weak Magnetic-Field Space and Applied Technology, Beihang University, Hangzhou, China"],"raw_orcid":"https://orcid.org/0000-0002-0881-6085","affiliations":[{"raw_affiliation_string":"School of Instrumentation and Optoelectronic Engineering, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]},{"raw_affiliation_string":"Hangzhou Innovation Institute, Zhejiang Provincial Key Laboratory of Ultra-Weak Magnetic-Field Space and Applied Technology, Beihang University, Hangzhou, China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103220243","display_name":"Lihong Duan","orcid":"https://orcid.org/0000-0001-6375-9469"},"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":"Lihong Duan","raw_affiliation_strings":["Zhejiang Provincial Key Laboratory of Ultra-Weak Magnetic-Field Space and Applied Technology, Hangzhou Innovation Institute, Beihang University, Hangzhou, China","Hangzhou Innovation Institute, Zhejiang Provincial Key Laboratory of Ultra-Weak Magnetic-Field Space and Applied Technology, Beihang University, Hangzhou, China","Innovative Research Institute of Frontier Science, Beihang University, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0001-6375-9469","affiliations":[{"raw_affiliation_string":"Zhejiang Provincial Key Laboratory of Ultra-Weak Magnetic-Field Space and Applied Technology, Hangzhou Innovation Institute, Beihang University, Hangzhou, China","institution_ids":["https://openalex.org/I82880672"]},{"raw_affiliation_string":"Hangzhou Innovation Institute, Zhejiang Provincial Key Laboratory of Ultra-Weak Magnetic-Field Space and Applied Technology, Beihang University, Hangzhou, China","institution_ids":["https://openalex.org/I82880672"]},{"raw_affiliation_string":"Innovative Research Institute of Frontier Science, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014569410","display_name":"Sixun Liu","orcid":"https://orcid.org/0000-0001-7925-3737"},"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":"Sixun Liu","raw_affiliation_strings":["School of Instrumentation and Optoelectronic Engineering, Beihang University, Beijing, China","Hangzhou Innovation Institute, Zhejiang Provincial Key Laboratory of Ultra-Weak Magnetic-Field Space and Applied Technology, Beihang University, Hangzhou, China"],"raw_orcid":"https://orcid.org/0000-0001-7925-3737","affiliations":[{"raw_affiliation_string":"School of Instrumentation and Optoelectronic Engineering, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]},{"raw_affiliation_string":"Hangzhou Innovation Institute, Zhejiang Provincial Key Laboratory of Ultra-Weak Magnetic-Field Space and Applied Technology, Beihang University, Hangzhou, China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100738911","display_name":"Jing Wang","orcid":"https://orcid.org/0000-0001-7231-009X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jing Wang","raw_affiliation_strings":["Department of Software, Beijing Institute of Electronic System Engineering, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0001-7231-009X","affiliations":[{"raw_affiliation_string":"Department of Software, Beijing Institute of Electronic System Engineering, Beijing, China","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109324703","display_name":"Wei Quan","orcid":"https://orcid.org/0000-0003-2130-3046"},"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":"Wei Quan","raw_affiliation_strings":["Zhejiang Provincial Key Laboratory of Ultra-Weak Magnetic-Field Space and Applied Technology, Hangzhou Innovation Institute, Beihang University, Hangzhou, China","Hangzhou Innovation Institute, Zhejiang Provincial Key Laboratory of Ultra-Weak Magnetic-Field Space and Applied Technology, Beihang University, Hangzhou, China","Innovative Research Institute of Frontier Science, Beihang University, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0003-2130-3046","affiliations":[{"raw_affiliation_string":"Zhejiang Provincial Key Laboratory of Ultra-Weak Magnetic-Field Space and Applied Technology, Hangzhou Innovation Institute, Beihang University, Hangzhou, China","institution_ids":["https://openalex.org/I82880672"]},{"raw_affiliation_string":"Hangzhou Innovation Institute, Zhejiang Provincial Key Laboratory of Ultra-Weak Magnetic-Field Space and Applied Technology, Beihang University, Hangzhou, China","institution_ids":["https://openalex.org/I82880672"]},{"raw_affiliation_string":"Innovative Research Institute of Frontier Science, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5048616943"],"corresponding_institution_ids":["https://openalex.org/I82880672"],"apc_list":null,"apc_paid":null,"fwci":5.3525,"has_fulltext":false,"cited_by_count":36,"citation_normalized_percentile":{"value":0.96553714,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"71","issue":null,"first_page":"1","last_page":"11"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11993","display_name":"Atomic and Subatomic Physics Research","score":1.0,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11993","display_name":"Atomic and Subatomic Physics Research","score":1.0,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12692","display_name":"Magnetic Field Sensors Techniques","score":0.9979000091552734,"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/T13885","display_name":"Geophysics and Sensor Technology","score":0.9944999814033508,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean 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/coupling","display_name":"Coupling (piping)","score":0.6202840805053711},{"id":"https://openalex.org/keywords/magnetic-field","display_name":"Magnetic field","score":0.5987565517425537},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.4974861443042755},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.4116322994232178},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4116286039352417},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.3890688121318817},{"id":"https://openalex.org/keywords/acoustics","display_name":"Acoustics","score":0.3680828809738159},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3680243492126465},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.36028197407722473},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.3497543931007385},{"id":"https://openalex.org/keywords/nuclear-magnetic-resonance","display_name":"Nuclear magnetic resonance","score":0.3320842385292053},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3232916593551636},{"id":"https://openalex.org/keywords/mechanical-engineering","display_name":"Mechanical engineering","score":0.22070851922035217},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.16406750679016113}],"concepts":[{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.6202840805053711},{"id":"https://openalex.org/C115260700","wikidata":"https://www.wikidata.org/wiki/Q11408","display_name":"Magnetic field","level":2,"score":0.5987565517425537},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4974861443042755},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.4116322994232178},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4116286039352417},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.3890688121318817},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.3680828809738159},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3680243492126465},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.36028197407722473},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.3497543931007385},{"id":"https://openalex.org/C46141821","wikidata":"https://www.wikidata.org/wiki/Q209402","display_name":"Nuclear magnetic resonance","level":1,"score":0.3320842385292053},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3232916593551636},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.22070851922035217},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.16406750679016113},{"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.2022.3201500","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tim.2022.3201500","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/G2195942103","display_name":null,"funder_award_id":"62003024","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4391862582","display_name":null,"funder_award_id":"61925301","funder_id":"https://openalex.org/F4320336125","funder_display_name":"National Science Fund for Distinguished Young Scholars"},{"id":"https://openalex.org/G6952758965","display_name":null,"funder_award_id":"62103026","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8612269411","display_name":null,"funder_award_id":"62003022","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"},{"id":"https://openalex.org/F4320336125","display_name":"National Science Fund for Distinguished Young Scholars","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W1810517638","https://openalex.org/W1975707301","https://openalex.org/W2009754045","https://openalex.org/W2044816498","https://openalex.org/W2077767829","https://openalex.org/W2078400406","https://openalex.org/W2084721398","https://openalex.org/W2090644080","https://openalex.org/W2095785285","https://openalex.org/W2104157986","https://openalex.org/W2127451100","https://openalex.org/W2603767074","https://openalex.org/W2791548393","https://openalex.org/W2896089151","https://openalex.org/W2918848090","https://openalex.org/W2920277339","https://openalex.org/W2925065924","https://openalex.org/W2945828991","https://openalex.org/W2953643372","https://openalex.org/W2965540793","https://openalex.org/W2986635323","https://openalex.org/W2987698016","https://openalex.org/W3002779162","https://openalex.org/W3014504793","https://openalex.org/W3032478452","https://openalex.org/W3033120662","https://openalex.org/W3084271694","https://openalex.org/W3086224848","https://openalex.org/W3087839824","https://openalex.org/W3097136691","https://openalex.org/W3097878976","https://openalex.org/W3108937705","https://openalex.org/W3119286944","https://openalex.org/W3136373972","https://openalex.org/W3195022206","https://openalex.org/W3212315739","https://openalex.org/W4232609588"],"related_works":["https://openalex.org/W2031453039","https://openalex.org/W2549138563","https://openalex.org/W2335010068","https://openalex.org/W2899315007","https://openalex.org/W1969976809","https://openalex.org/W2035889111","https://openalex.org/W4241891915","https://openalex.org/W4382136933","https://openalex.org/W1972818812","https://openalex.org/W2337245573"],"abstract_inverted_index":{"The":[0,78,177,190],"coupling":[1,56,79],"between":[2],"the":[3,6,18,21,25,30,34,39,51,55,75,82,85,99,104,110,117,124,128,133,139,145,161,206],"coil":[4,22,83,105,141],"and":[5,61,63,103,156,170,179,187,192],"cylindrical":[7],"magnetic":[8,213],"shield":[9],"(CMS)":[10],"in":[11,17,160],"atomic":[12],"sensors":[13],"not":[14,121],"only":[15,122],"results":[16],"inconsistency":[19],"of":[20,45,81,127,154,194,209],"constant":[23],"with":[24,58,68,98,138],"theory":[26],"but":[27,130],"also":[28,131],"deteriorates":[29],"uniformity,":[31],"which":[32,200],"affects":[33],"sensor":[35],"performance.":[36],"To":[37],"solve":[38],"above":[40],"deficiencies,":[41],"a":[42,143],"design":[43],"method":[44,92],"highly":[46],"uniform":[47],"field":[48,214],"coils":[49,195],"inside":[50,84,142],"CMS":[52,86],"based":[53],"on":[54],"model":[57,80],"finite":[59,184],"permeability":[60],"thickness":[62],"particle":[64],"swarm":[65],"optimization":[66,101],"(PSO)":[67],"dynamic":[69,111],"inertia":[70,112],"weights":[71],"is":[72,87,96,107,148,201],"proposed":[73],"for":[74],"first":[76],"time.":[77],"established":[88],"by":[89,109,151,183],"Green\u2019s":[90],"function":[91],"(GFM).":[93],"Then":[94],"it":[95],"combined":[97],"nonlinear":[100],"method,":[102],"configuration":[106],"optimized":[108],"weight":[113],"PSO":[114],"to":[115,203,212],"obtain":[116],"optimal":[118],"parameters.":[119],"It":[120],"reduces":[123],"calculation":[125],"error":[126],"model,":[129],"improves":[132],"uniformity.":[134,215],"Comparing":[135],"this":[136],"work":[137],"Lee-Whiting":[140],"CMS,":[144],"theoretical":[146],"uniformity":[147,158,193],"further":[149,204],"improved":[150],"2":[152],"orders":[153],"magnitude,":[155],"measured":[157],"errors":[159],"target":[162],"region":[163],"reach":[164],"1.404\u00d710":[165],"<sup":[166,172],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[167,173],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">-4</sup>":[168,174],",":[169,175],"2.317\u00d710":[171],"respectively.":[176],"correctness":[178],"effectiveness":[180],"are":[181],"proved":[182],"element":[185],"simulation":[186],"experimental":[188],"results.":[189],"accuracy":[191],"can":[196],"be":[197],"considerably":[198],"improved,":[199],"beneficial":[202],"improve":[205],"measurement":[207],"sensitivity":[208],"instruments":[210],"related":[211]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":12},{"year":2023,"cited_by_count":16}],"updated_date":"2026-04-26T08:31:28.666265","created_date":"2025-10-10T00:00:00"}