{"id":"https://openalex.org/W7212372749","doi":"https://doi.org/10.2139/ssrn.7451252","title":"Breaking Frequency Limits: A Physics-Informed Deep Learning Framework for Metasurface Extrapolation Design","display_name":"Breaking Frequency Limits: A Physics-Informed Deep Learning Framework for Metasurface Extrapolation Design","publication_year":2026,"publication_date":"2026-01-01","ids":{"openalex":"https://openalex.org/W7212372749","doi":"https://doi.org/10.2139/ssrn.7451252"},"language":null,"primary_location":{"id":"doi:10.2139/ssrn.7451252","doi":"https://doi.org/10.2139/ssrn.7451252","is_oa":true,"landing_page_url":"https://doi.org/10.2139/ssrn.7451252","pdf_url":"https://doi.org/10.2139/ssrn.7451252","source":{"id":"https://openalex.org/S4210172589","display_name":"SSRN Electronic Journal","issn_l":"1556-5068","issn":["1556-5068"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1318003438","host_organization_name":"RELX Group (Netherlands)","host_organization_lineage":["https://openalex.org/I1318003438"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"posted-content"},"volume":null,"type":"preprint","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.2139/ssrn.7451252","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5133568472","display_name":"Zhihao Guo","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4210104252","display_name":"Air Force Engineering University","ror":"https://ror.org/00seraz22","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210104252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhihao Guo","raw_affiliation_strings":["Shaanxi Key Laboratory of Artificially-Structured Functional Materials and Devices , Air Force Engineering University , Xi'an 710051 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Shaanxi Key Laboratory of Artificially-Structured Functional Materials and Devices , Air Force Engineering University , Xi'an 710051 , China","institution_ids":["https://openalex.org/I4210104252"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109655941","display_name":"Fang-yuan Qi","orcid":"https://orcid.org/0009-0008-1913-9279","observed_orcids":["https://orcid.org/0009-0008-1913-9279"]},"institutions":[{"id":"https://openalex.org/I4210104252","display_name":"Air Force Engineering University","ror":"https://ror.org/00seraz22","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210104252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fang-yuan Qi","raw_affiliation_strings":["Shaanxi Key Laboratory of Artificially-Structured Functional Materials and Devices , Air Force Engineering University , Xi'an 710051 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Shaanxi Key Laboratory of Artificially-Structured Functional Materials and Devices , Air Force Engineering University , Xi'an 710051 , China","institution_ids":["https://openalex.org/I4210104252"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056217669","display_name":"Ruichao Zhu","orcid":"https://orcid.org/0000-0002-6015-8948","observed_orcids":["https://orcid.org/0000-0002-6015-8948"]},"institutions":[{"id":"https://openalex.org/I4210104252","display_name":"Air Force Engineering University","ror":"https://ror.org/00seraz22","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210104252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ruichao Zhu","raw_affiliation_strings":["Shaanxi Key Laboratory of Artificially-Structured Functional Materials and Devices , Air Force Engineering University , Xi'an 710051 , China"],"raw_orcid":"https://orcid.org/0000-0002-6015-8948","affiliations":[{"raw_affiliation_string":"Shaanxi Key Laboratory of Artificially-Structured Functional Materials and Devices , Air Force Engineering University , Xi'an 710051 , China","institution_ids":["https://openalex.org/I4210104252"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083926306","display_name":"Zhe Qin","orcid":"https://orcid.org/0000-0002-3941-2200","observed_orcids":["https://orcid.org/0000-0002-3941-2200"]},"institutions":[{"id":"https://openalex.org/I4210104252","display_name":"Air Force Engineering University","ror":"https://ror.org/00seraz22","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210104252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhe Qin","raw_affiliation_strings":["Shaanxi Key Laboratory of Artificially-Structured Functional Materials and Devices , Air Force Engineering University , Xi'an 710051 , China"],"raw_orcid":"https://orcid.org/0000-0002-3941-2200","affiliations":[{"raw_affiliation_string":"Shaanxi Key Laboratory of Artificially-Structured Functional Materials and Devices , Air Force Engineering University , Xi'an 710051 , China","institution_ids":["https://openalex.org/I4210104252"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089706355","display_name":"J.-M. Liu","orcid":"https://orcid.org/0009-0003-1148-3837","observed_orcids":["https://orcid.org/0009-0003-1148-3837","https://orcid.org/0009-0005-9600-515X"]},"institutions":[{"id":"https://openalex.org/I4210104252","display_name":"Air Force Engineering University","ror":"https://ror.org/00seraz22","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210104252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiechu Liu","raw_affiliation_strings":["Shaanxi Key Laboratory of Artificially-Structured Functional Materials and Devices , Air Force Engineering University , Xi'an 710051 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Shaanxi Key Laboratory of Artificially-Structured Functional Materials and Devices , Air Force Engineering University , Xi'an 710051 , China","institution_ids":["https://openalex.org/I4210104252"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5133592232","display_name":"Hao Yang","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4210104252","display_name":"Air Force Engineering University","ror":"https://ror.org/00seraz22","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210104252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hao Yang","raw_affiliation_strings":["Shaanxi Key Laboratory of Artificially-Structured Functional Materials and Devices , Air Force Engineering University , Xi'an 710051 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Shaanxi Key Laboratory of Artificially-Structured Functional Materials and Devices , Air Force Engineering University , Xi'an 710051 , China","institution_ids":["https://openalex.org/I4210104252"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020431707","display_name":"Kaihao Zhou","orcid":"https://orcid.org/0009-0004-3266-3164","observed_orcids":["https://orcid.org/0009-0004-3266-3164"]},"institutions":[{"id":"https://openalex.org/I4210104252","display_name":"Air Force Engineering University","ror":"https://ror.org/00seraz22","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210104252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kaihao Zhou","raw_affiliation_strings":["Shaanxi Key Laboratory of Artificially-Structured Functional Materials and Devices , Air Force Engineering University , Xi'an 710051 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Shaanxi Key Laboratory of Artificially-Structured Functional Materials and Devices , Air Force Engineering University , Xi'an 710051 , China","institution_ids":["https://openalex.org/I4210104252"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5123878227","display_name":"Lixin Jiang","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4210104252","display_name":"Air Force Engineering University","ror":"https://ror.org/00seraz22","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210104252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lixin Jiang","raw_affiliation_strings":["Shaanxi Key Laboratory of Artificially-Structured Functional Materials and Devices , Air Force Engineering University , Xi'an 710051 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Shaanxi Key Laboratory of Artificially-Structured Functional Materials and Devices , Air Force Engineering University , Xi'an 710051 , China","institution_ids":["https://openalex.org/I4210104252"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5151512568","display_name":"Lin Zheng","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4210104252","display_name":"Air Force Engineering University","ror":"https://ror.org/00seraz22","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210104252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lin Zheng","raw_affiliation_strings":["Shaanxi Key Laboratory of Artificially-Structured Functional Materials and Devices , Air Force Engineering University , Xi'an 710051 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Shaanxi Key Laboratory of Artificially-Structured Functional Materials and Devices , Air Force Engineering University , Xi'an 710051 , China","institution_ids":["https://openalex.org/I4210104252"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001926925","display_name":"Hongya Chen","orcid":"https://orcid.org/0000-0003-4328-4499","observed_orcids":["https://orcid.org/0000-0003-4328-4499"]},"institutions":[{"id":"https://openalex.org/I4210104252","display_name":"Air Force Engineering University","ror":"https://ror.org/00seraz22","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210104252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hongya Chen","raw_affiliation_strings":["Shaanxi Key Laboratory of Artificially-Structured Functional Materials and Devices , Air Force Engineering University , Xi'an 710051 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Shaanxi Key Laboratory of Artificially-Structured Functional Materials and Devices , Air Force Engineering University , Xi'an 710051 , China","institution_ids":["https://openalex.org/I4210104252"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5121045371","display_name":"Wenjie Wang","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4210104252","display_name":"Air Force Engineering University","ror":"https://ror.org/00seraz22","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210104252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenjie Wang","raw_affiliation_strings":["Shaanxi Key Laboratory of Artificially-Structured Functional Materials and Devices , Air Force Engineering University , Xi'an 710051 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Shaanxi Key Laboratory of Artificially-Structured Functional Materials and Devices , Air Force Engineering University , Xi'an 710051 , China","institution_ids":["https://openalex.org/I4210104252"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100765806","display_name":"Jiafu Wang","orcid":"https://orcid.org/0000-0001-7151-6395","observed_orcids":["https://orcid.org/0000-0001-7151-6395"]},"institutions":[{"id":"https://openalex.org/I4210104252","display_name":"Air Force Engineering University","ror":"https://ror.org/00seraz22","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210104252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"J.  F. Wang","raw_affiliation_strings":["Shaanxi Key Laboratory of Artificially-Structured Functional Materials and Devices , Air Force Engineering University , Xi'an 710051 , China","Suzhou Laboratory , Suzhou , China"],"raw_orcid":"https://orcid.org/0000-0001-7151-6395","affiliations":[{"raw_affiliation_string":"Shaanxi Key Laboratory of Artificially-Structured Functional Materials and Devices , Air Force Engineering University , Xi'an 710051 , China","institution_ids":["https://openalex.org/I4210104252"]},{"raw_affiliation_string":"Suzhou Laboratory , Suzhou , China","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100371418","display_name":"Yongfeng Li","orcid":"https://orcid.org/0000-0002-4395-7254","observed_orcids":["https://orcid.org/0000-0002-4395-7254","https://orcid.org/0000-0001-8728-121X"]},"institutions":[{"id":"https://openalex.org/I4210104252","display_name":"Air Force Engineering University","ror":"https://ror.org/00seraz22","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210104252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yongfeng Li","raw_affiliation_strings":["Shaanxi Key Laboratory of Artificially-Structured Functional Materials and Devices , Air Force Engineering University , Xi'an 710051 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Shaanxi Key Laboratory of Artificially-Structured Functional Materials and Devices , Air Force Engineering University , Xi'an 710051 , China","institution_ids":["https://openalex.org/I4210104252"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4210104252"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10245","display_name":"Metamaterials and Metasurfaces Applications","score":0.63919997215271,"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"}},"topics":[{"id":"https://openalex.org/T10245","display_name":"Metamaterials and Metasurfaces Applications","score":0.63919997215271,"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"}},{"id":"https://openalex.org/T11383","display_name":"Advanced Antenna and Metasurface Technologies","score":0.3402999937534332,"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"}},{"id":"https://openalex.org/T11948","display_name":"Machine Learning in Materials Science","score":0.005799999926239252,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"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/metasurface-design","display_name":"metasurface design","score":0.9900000095367432},{"id":"https://openalex.org/keywords/physics-informed-neural-networks","display_name":"physics-informed neural networks","score":0.9589999914169312},{"id":"https://openalex.org/keywords/inverse-design","display_name":"inverse design","score":0.8059999942779541},{"id":"https://openalex.org/keywords/electromagnetic-wave-manipulation","display_name":"electromagnetic wave manipulation","score":0.5799999833106995},{"id":"https://openalex.org/keywords/s-parameters","display_name":"S-parameters","score":0.7789999842643738},{"id":"https://openalex.org/keywords/hybrid-loss-function","display_name":"hybrid loss function","score":0.7089999914169312}],"concepts":[{"id":"https://openalex.org/C132459708","wikidata":"https://www.wikidata.org/wiki/Q744069","display_name":"Extrapolation","level":2,"score":0.8705000281333923},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5543000102043152},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5120999813079834},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.44769999384880066},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4198000133037567},{"id":"https://openalex.org/C65682993","wikidata":"https://www.wikidata.org/wiki/Q1056451","display_name":"Reflection (computer programming)","level":2,"score":0.4162999987602234},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4106999933719635},{"id":"https://openalex.org/C155032097","wikidata":"https://www.wikidata.org/wiki/Q798503","display_name":"Backpropagation","level":3,"score":0.4088999927043915},{"id":"https://openalex.org/C41700454","wikidata":"https://www.wikidata.org/wiki/Q1852282","display_name":"Reflection coefficient","level":2,"score":0.4081999957561493},{"id":"https://openalex.org/C108583219","wikidata":"https://www.wikidata.org/wiki/Q197536","display_name":"Deep learning","level":2,"score":0.40400001406669617},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.3959999978542328},{"id":"https://openalex.org/C2909720056","wikidata":"https://www.wikidata.org/wiki/Q11406","display_name":"Electromagnetics","level":2,"score":0.35420000553131104},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.3513999879360199},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.3431999981403351},{"id":"https://openalex.org/C139945424","wikidata":"https://www.wikidata.org/wiki/Q1940696","display_name":"Mean squared error","level":2,"score":0.3208000063896179},{"id":"https://openalex.org/C206844423","wikidata":"https://www.wikidata.org/wiki/Q5157313","display_name":"Computational electromagnetics","level":3,"score":0.3156999945640564},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.29980000853538513},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.2906999886035919},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.289900004863739},{"id":"https://openalex.org/C149773537","wikidata":"https://www.wikidata.org/wiki/Q12969754","display_name":"Electromagnetic radiation","level":2,"score":0.2883000075817108},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.27970001101493835},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.27649998664855957},{"id":"https://openalex.org/C2778116611","wikidata":"https://www.wikidata.org/wiki/Q25110567","display_name":"Frequency band","level":3,"score":0.2761000096797943},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.27320000529289246},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2700999975204468},{"id":"https://openalex.org/C65155139","wikidata":"https://www.wikidata.org/wiki/Q5380912","display_name":"Envelope (radar)","level":3,"score":0.26579999923706055},{"id":"https://openalex.org/C155761240","wikidata":"https://www.wikidata.org/wiki/Q133139","display_name":"Electromagnetic spectrum","level":2,"score":0.26260000467300415},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.25360000133514404},{"id":"https://openalex.org/C116672817","wikidata":"https://www.wikidata.org/wiki/Q1454986","display_name":"Physical system","level":2,"score":0.25049999356269836}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.2139/ssrn.7451252","doi":"https://doi.org/10.2139/ssrn.7451252","is_oa":true,"landing_page_url":"https://doi.org/10.2139/ssrn.7451252","pdf_url":"https://doi.org/10.2139/ssrn.7451252","source":{"id":"https://openalex.org/S4210172589","display_name":"SSRN Electronic Journal","issn_l":"1556-5068","issn":["1556-5068"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1318003438","host_organization_name":"RELX Group (Netherlands)","host_organization_lineage":["https://openalex.org/I1318003438"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"posted-content"}],"best_oa_location":{"id":"doi:10.2139/ssrn.7451252","doi":"https://doi.org/10.2139/ssrn.7451252","is_oa":true,"landing_page_url":"https://doi.org/10.2139/ssrn.7451252","pdf_url":"https://doi.org/10.2139/ssrn.7451252","source":{"id":"https://openalex.org/S4210172589","display_name":"SSRN Electronic Journal","issn_l":"1556-5068","issn":["1556-5068"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1318003438","host_organization_name":"RELX Group (Netherlands)","host_organization_lineage":["https://openalex.org/I1318003438"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"posted-content"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[{"score":0.7940478920936584,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, justice, and strong institutions"}],"study_designs":[],"awards":[{"id":"https://openalex.org/G4186224851","display_name":null,"funder_award_id":"2024JC-YBMS-518","funder_id":"https://openalex.org/F4320324173","funder_display_name":"Natural Science Foundation of Shaanxi Province"},{"id":"https://openalex.org/G4451505744","display_name":null,"funder_award_id":"2025JC\u2010YBMS\u2010715","funder_id":"https://openalex.org/F4320324173","funder_display_name":"Natural Science Foundation of Shaanxi Province"},{"id":"https://openalex.org/G7887972146","display_name":null,"funder_award_id":"2022YFB3806200","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"}],"funders":[{"id":"https://openalex.org/F4320324173","display_name":"Natural Science Foundation of Shaanxi Province","ror":null},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7212372749.pdf","grobid_xml":"https://content.openalex.org/works/W7212372749.grobid-xml"},"referenced_works_count":9,"referenced_works":["https://openalex.org/W4206050975","https://openalex.org/W4210709750","https://openalex.org/W4288058372","https://openalex.org/W4386838122","https://openalex.org/W4392195041","https://openalex.org/W4400187756","https://openalex.org/W4406171006","https://openalex.org/W7134985483","https://openalex.org/W7154176348"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-10-17T09:40:24.721904","created_date":"2026-09-13T00:00:00"}