{"id":"https://openalex.org/W3000916673","doi":"https://doi.org/10.1137/20m1313908","title":"Superresolution in Recovering Embedded Electromagnetic Sources in High Contrast Media","display_name":"Superresolution in Recovering Embedded Electromagnetic Sources in High Contrast Media","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3000916673","doi":"https://doi.org/10.1137/20m1313908","mag":"3000916673"},"language":"en","primary_location":{"id":"doi:10.1137/20m1313908","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1313908","pdf_url":null,"source":{"id":"https://openalex.org/S152600803","display_name":"SIAM Journal on Imaging Sciences","issn_l":"1936-4954","issn":["1936-4954"],"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 Imaging Sciences","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2001.07116","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5041497235","display_name":"Habib Ammari","orcid":"https://orcid.org/0000-0001-7278-4877"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Habib Ammari","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100387270","display_name":"Bowen Li","orcid":"https://orcid.org/0000-0002-0336-2096"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bowen Li","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5090609331","display_name":"Jun Zou","orcid":"https://orcid.org/0000-0002-4809-7724"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jun Zou","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.7423,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.62511193,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"13","issue":"3","first_page":"1467","last_page":"1510"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9998999834060669,"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/T11609","display_name":"Geophysical Methods and Applications","score":0.9987000226974487,"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/eigenfunction","display_name":"Eigenfunction","score":0.6983195543289185},{"id":"https://openalex.org/keywords/resolvent","display_name":"Resolvent","score":0.6818597912788391},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.584269106388092},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.559822142124176},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5028201937675476},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.48714396357536316},{"id":"https://openalex.org/keywords/resolution","display_name":"Resolution (logic)","score":0.48543840646743774},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4742257297039032},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.46825915575027466},{"id":"https://openalex.org/keywords/contrast","display_name":"Contrast (vision)","score":0.46365034580230713},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.44562801718711853},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3293515145778656},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.23131868243217468},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.19691398739814758},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17378127574920654},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.13711529970169067}],"concepts":[{"id":"https://openalex.org/C128803854","wikidata":"https://www.wikidata.org/wiki/Q1307821","display_name":"Eigenfunction","level":3,"score":0.6983195543289185},{"id":"https://openalex.org/C196267783","wikidata":"https://www.wikidata.org/wiki/Q4392490","display_name":"Resolvent","level":2,"score":0.6818597912788391},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.584269106388092},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.559822142124176},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5028201937675476},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.48714396357536316},{"id":"https://openalex.org/C138268822","wikidata":"https://www.wikidata.org/wiki/Q1051925","display_name":"Resolution (logic)","level":2,"score":0.48543840646743774},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4742257297039032},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.46825915575027466},{"id":"https://openalex.org/C2776502983","wikidata":"https://www.wikidata.org/wiki/Q690182","display_name":"Contrast (vision)","level":2,"score":0.46365034580230713},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.44562801718711853},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3293515145778656},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.23131868243217468},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.19691398739814758},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17378127574920654},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.13711529970169067},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/20m1313908","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1313908","pdf_url":null,"source":{"id":"https://openalex.org/S152600803","display_name":"SIAM Journal on Imaging Sciences","issn_l":"1936-4954","issn":["1936-4954"],"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 Imaging Sciences","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2001.07116","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2001.07116","pdf_url":"https://arxiv.org/pdf/2001.07116","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"},{"id":"mag:3000916673","is_oa":true,"landing_page_url":"http://export.arxiv.org/pdf/2001.07116","pdf_url":null,"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":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.2001.07116","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2001.07116","pdf_url":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2001.07116","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2001.07116","pdf_url":"https://arxiv.org/pdf/2001.07116","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/G151420641","display_name":null,"funder_award_id":"N_CUHK437/16","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4305587480","display_name":null,"funder_award_id":"200021-172483","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320320924","display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung","ror":"https://ror.org/00yjd3n13"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322942","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3000916673.pdf","grobid_xml":"https://content.openalex.org/works/W3000916673.grobid-xml"},"referenced_works_count":38,"referenced_works":["https://openalex.org/W360251656","https://openalex.org/W602882237","https://openalex.org/W1511473875","https://openalex.org/W1582734821","https://openalex.org/W1780836892","https://openalex.org/W1987663980","https://openalex.org/W1999346859","https://openalex.org/W2006437773","https://openalex.org/W2008168169","https://openalex.org/W2012777688","https://openalex.org/W2020197662","https://openalex.org/W2021136937","https://openalex.org/W2025157858","https://openalex.org/W2027020501","https://openalex.org/W2027513765","https://openalex.org/W2031682286","https://openalex.org/W2035690811","https://openalex.org/W2043632386","https://openalex.org/W2047319386","https://openalex.org/W2050469770","https://openalex.org/W2068169767","https://openalex.org/W2071704402","https://openalex.org/W2075085615","https://openalex.org/W2081277394","https://openalex.org/W2081338783","https://openalex.org/W2093290312","https://openalex.org/W2111712733","https://openalex.org/W2133382930","https://openalex.org/W2885296385","https://openalex.org/W2923448851","https://openalex.org/W2949120298","https://openalex.org/W2962715953","https://openalex.org/W2963420888","https://openalex.org/W2963645054","https://openalex.org/W2964207201","https://openalex.org/W3101644620","https://openalex.org/W3102443728","https://openalex.org/W3103820054"],"related_works":["https://openalex.org/W954193184","https://openalex.org/W2092381718","https://openalex.org/W2149393379","https://openalex.org/W2319519461","https://openalex.org/W3211676762","https://openalex.org/W2344005972","https://openalex.org/W2310709880","https://openalex.org/W1607324452","https://openalex.org/W2009020532","https://openalex.org/W2913593175","https://openalex.org/W1963870020","https://openalex.org/W3105642946","https://openalex.org/W1561904679","https://openalex.org/W3123590302","https://openalex.org/W2007163103","https://openalex.org/W1670623324","https://openalex.org/W94820631","https://openalex.org/W3201309195","https://openalex.org/W2135961445","https://openalex.org/W3096235347"],"abstract_inverted_index":{"The":[0],"purpose":[1],"of":[2,12,21,45,49,74,90,94,108,120,130,148],"this":[3],"work":[4],"is":[5,33,39],"to":[6,141,166],"provide":[7,125,142],"a":[8,28,99,121,143],"rigorous":[9,146],"mathematical":[10,136],"analysis":[11],"the":[13,18,36,43,46,50,55,61,65,68,72,75,80,91,95,105,112,117,131,149,152],"expected":[14],"superresolution":[15,150],"phenomenon":[16],"in":[17,27,111,151,156],"time-reversal":[19],"imaging":[20],"electromagnetic":[22],"(EM)":[23],"radiating":[24],"sources":[25],"embedded":[26],"high":[29,113,157],"contrast":[30,114,158],"medium.":[31],"It":[32],"known":[34],"that":[35],"resolution":[37,66],"limit":[38],"essentially":[40],"determined":[41],"by":[42],"sharpness":[44],"imaginary":[47],"part":[48],"EM":[51,153],"Green's":[52],"tensor":[53],"for":[54,98],"associated":[56],"background.":[57],"We":[58,84],"first":[59],"establish":[60],"close":[62],"connection":[63],"between":[64],"and":[67,71,103,133,145],"material":[69],"parameters":[70],"resolvent":[73,110],"electric":[76],"integral":[77,96],"operator,":[78],"via":[79],"Lippmann--Schwinger":[81],"representation":[82],"formula.":[83],"then":[85],"present":[86],"an":[87],"insightful":[88],"characterization":[89],"spectral":[92],"structure":[93],"operator":[97],"general":[100],"bounded":[101],"domain":[102],"derive":[104],"pole-pencil":[106],"decomposition":[107],"its":[109],"regime.":[115],"For":[116],"special":[118],"case":[119],"spherical":[122],"domain,":[123],"we":[124],"some":[126],"quantitative":[127],"asymptotic":[128],"behavior":[129],"eigenvalues":[132],"eigenfunctions.":[134],"These":[135],"findings":[137],"shall":[138],"enable":[139],"us":[140],"concise":[144],"illustration":[147],"source":[154],"reconstruction":[155],"media.":[159],"Some":[160],"numerical":[161],"examples":[162],"are":[163],"also":[164],"presented":[165],"verify":[167],"our":[168],"main":[169],"theoretical":[170],"results.":[171]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-07-15T18:14:33.161393","created_date":"2025-10-10T00:00:00"}
