{"id":"https://openalex.org/W3015627339","doi":"https://doi.org/10.1137/20m1330798","title":"Inverse Time-Harmonic Electromagnetic Scattering from Coated Polyhedral Scatterers With a Single Far-Field Pattern","display_name":"Inverse Time-Harmonic Electromagnetic Scattering from Coated Polyhedral Scatterers With a Single Far-Field Pattern","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3015627339","doi":"https://doi.org/10.1137/20m1330798","mag":"3015627339"},"language":"en","primary_location":{"id":"doi:10.1137/20m1330798","is_oa":false,"landing_page_url":"http://doi.org/10.1137/20m1330798","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2004.04392","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Guang-Hui Hu","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Guang-Hui Hu","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Manmohan Vashisth","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Manmohan Vashisth","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":null,"display_name":"Jiaqing Yang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jiaqing Yang","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.04904012,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"81","issue":"1","first_page":"25","last_page":"46"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.5166000127792358,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.5166000127792358,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11739","display_name":"Microwave Imaging and Scattering Analysis","score":0.4596000015735626,"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/T11778","display_name":"Electrical and Bioimpedance Tomography","score":0.011699999682605267,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.6276999711990356},{"id":"https://openalex.org/keywords/inverse-scattering-problem","display_name":"Inverse scattering problem","score":0.5436999797821045},{"id":"https://openalex.org/keywords/electromagnetic-radiation","display_name":"Electromagnetic radiation","score":0.5133000016212463},{"id":"https://openalex.org/keywords/reflection","display_name":"Reflection (computer programming)","score":0.5081999897956848},{"id":"https://openalex.org/keywords/scattering","display_name":"Scattering","score":0.5022000074386597},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.4691999852657318},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.45350000262260437},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.4456000030040741},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.43630000948905945}],"concepts":[{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.6276999711990356},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5676000118255615},{"id":"https://openalex.org/C174558057","wikidata":"https://www.wikidata.org/wiki/Q11639409","display_name":"Inverse scattering problem","level":3,"score":0.5436999797821045},{"id":"https://openalex.org/C149773537","wikidata":"https://www.wikidata.org/wiki/Q12969754","display_name":"Electromagnetic radiation","level":2,"score":0.5133000016212463},{"id":"https://openalex.org/C65682993","wikidata":"https://www.wikidata.org/wiki/Q1056451","display_name":"Reflection (computer programming)","level":2,"score":0.5081999897956848},{"id":"https://openalex.org/C191486275","wikidata":"https://www.wikidata.org/wiki/Q210028","display_name":"Scattering","level":2,"score":0.5022000074386597},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49059998989105225},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.48339998722076416},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4691999852657318},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.45350000262260437},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.4456000030040741},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.43630000948905945},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4359000027179718},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.4320000112056732},{"id":"https://openalex.org/C17829176","wikidata":"https://www.wikidata.org/wiki/Q179043","display_name":"Electrical impedance","level":2,"score":0.4196999967098236},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4154999852180481},{"id":"https://openalex.org/C44886760","wikidata":"https://www.wikidata.org/wiki/Q1758425","display_name":"Wave propagation","level":2,"score":0.3853999972343445},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.38510000705718994},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.3723999857902527},{"id":"https://openalex.org/C2991999034","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex domain","level":3,"score":0.3215000033378601},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.30239999294281006},{"id":"https://openalex.org/C40308292","wikidata":"https://www.wikidata.org/wiki/Q122518","display_name":"Plane wave","level":2,"score":0.2937999963760376},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2906000018119812},{"id":"https://openalex.org/C67402182","wikidata":"https://www.wikidata.org/wiki/Q2496406","display_name":"Wave impedance","level":3,"score":0.27880001068115234},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.2678000032901764},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.26460000872612},{"id":"https://openalex.org/C41700454","wikidata":"https://www.wikidata.org/wiki/Q1852282","display_name":"Reflection coefficient","level":2,"score":0.2547999918460846},{"id":"https://openalex.org/C28843909","wikidata":"https://www.wikidata.org/wiki/Q177625","display_name":"Electromagnetic field","level":2,"score":0.2540000081062317}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/20m1330798","is_oa":false,"landing_page_url":"http://doi.org/10.1137/20m1330798","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2004.04392","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2004.04392","pdf_url":"https://arxiv.org/pdf/2004.04392","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2004.04392","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2004.04392","pdf_url":"https://arxiv.org/pdf/2004.04392","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5735821217","display_name":null,"funder_award_id":"11671028","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1884845041","https://openalex.org/W1968735479","https://openalex.org/W1970100894","https://openalex.org/W2000528098","https://openalex.org/W2004316659","https://openalex.org/W2017089950","https://openalex.org/W2021346450","https://openalex.org/W2028856232","https://openalex.org/W2033491682","https://openalex.org/W2038512063","https://openalex.org/W2049692977","https://openalex.org/W2054682323","https://openalex.org/W2064181414","https://openalex.org/W2067214586","https://openalex.org/W2068223013","https://openalex.org/W2081376951","https://openalex.org/W2101069038","https://openalex.org/W2121561522","https://openalex.org/W2169973882","https://openalex.org/W2396681485","https://openalex.org/W2804087647","https://openalex.org/W2949779586","https://openalex.org/W3043440853","https://openalex.org/W4239854018","https://openalex.org/W4245054374","https://openalex.org/W4245515027"],"related_works":[],"abstract_inverted_index":{"It":[0],"is":[1,28,75],"proved":[2],"that":[3,73],"a":[4,21,35,41,69,92],"convex":[5,100],"polyhedral":[6],"scatterer":[7],"of":[8,20,86],"impedance":[9,62],"type":[10],"can":[11],"be":[12],"uniquely":[13],"determined":[14],"by":[15,46],"the":[16,54,61,80,87],"electric":[17],"far-field":[18],"pattern":[19],"non-vanishing":[22],"incident":[23],"field.":[24],"The":[25],"incoming":[26],"wave":[27,38,44],"allowed":[29],"to":[30,77,91],"bean":[31],"electromagnetic":[32],"plane":[33],"wave,":[34],"vector":[36],"Herglotz":[37],"function":[39],"or":[40],"point":[42],"source":[43],"incited":[45],"some":[47],"magnetic":[48],"dipole.":[49],"Our":[50],"proof":[51],"relies":[52],"on":[53,68],"reflection":[55],"principle":[56],"for":[57,96],"Maxwell's":[58],"equations":[59],"with":[60],"(or":[63],"Leontovich)":[64],"boundary":[65],"condition":[66],"enforcing":[67],"hyper-plane.":[70],"We":[71],"prove":[72],"it":[74],"impossible":[76],"analytically":[78],"extend":[79],"total":[81],"field":[82],"across":[83],"any":[84],"vertex":[85],"scatterer.":[88],"This":[89],"leads":[90],"data-driven":[93],"inversion":[94],"scheme":[95],"imaging":[97],"an":[98],"arbitrary":[99],"polyhedron.":[101]},"counts_by_year":[],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2020-04-17T00:00:00"}