{"id":"https://openalex.org/W1980592980","doi":"https://doi.org/10.1137/110828241","title":"Microwave Imaging by Elastic Deformation","display_name":"Microwave Imaging by Elastic Deformation","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W1980592980","doi":"https://doi.org/10.1137/110828241","mag":"1980592980"},"language":"en","primary_location":{"id":"doi:10.1137/110828241","is_oa":false,"landing_page_url":"https://doi.org/10.1137/110828241","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":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://centralesupelec.hal.science/hal-00655840/document","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":[{"id":"https://openalex.org/I4210127506","display_name":"D\u00e9partement de math\u00e9matiques et applications","ror":"https://ror.org/03k9z2963","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I2746051580","https://openalex.org/I29607241","https://openalex.org/I4210127506"]},{"id":"https://openalex.org/I3019441195","display_name":"Laboratoire de Math\u00e9matiques d'Orsay","ror":"https://ror.org/03ab0zs98","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I3019441195"]},{"id":"https://openalex.org/I29607241","display_name":"\u00c9cole Normale Sup\u00e9rieure - PSL","ror":"https://ror.org/05a0dhs15","country_code":"FR","type":"funder","lineage":["https://openalex.org/I2746051580","https://openalex.org/I29607241"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Habib Ammari","raw_affiliation_strings":["DMA - D\u00e9partement de Math\u00e9matiques et Applications - ENS Paris (45 rue d'Ulm\r\n75005 Paris - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"DMA - D\u00e9partement de Math\u00e9matiques et Applications - ENS Paris (45 rue d'Ulm\r\n75005 Paris - France)","institution_ids":["https://openalex.org/I29607241","https://openalex.org/I4210127506","https://openalex.org/I3019441195"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003621591","display_name":"Yves Capdeboscq","orcid":"https://orcid.org/0000-0003-1271-867X"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Yves Capdeboscq","raw_affiliation_strings":["MI - Mathematical Institute [Oxford] (Mathematical Institute University of Oxford 24-29 St Giles' Oxford, OX1 3LB UK - United Kingdom)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"MI - Mathematical Institute [Oxford] (Mathematical Institute University of Oxford 24-29 St Giles' Oxford, OX1 3LB UK - United Kingdom)","institution_ids":["https://openalex.org/I40120149"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015910078","display_name":"Fr\u00e9d\u00e9ric de Gournay","orcid":"https://orcid.org/0000-0003-4721-3137"},"institutions":[{"id":"https://openalex.org/I4210155549","display_name":"Laboratoire de Math\u00e9matiques","ror":"https://ror.org/05sd5r855","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I198244214","https://openalex.org/I4210141950","https://openalex.org/I4210155549"]},{"id":"https://openalex.org/I4387152735","display_name":"Laboratoire de Math\u00e9matiques de Versailles","ror":"https://ror.org/04k5jw363","country_code":null,"type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I195731000","https://openalex.org/I277688954","https://openalex.org/I4387152735"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Fr\u00e9d\u00e9ric de Gournay","raw_affiliation_strings":["LMV - Laboratoire de Math\u00e9matiques de Versailles (B\u00e2timent Fermat  - UFR de sciences \r\n45 avenue des Etats-Unis\r\n78035 VERSAILLES - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LMV - Laboratoire de Math\u00e9matiques de Versailles (B\u00e2timent Fermat  - UFR de sciences \r\n45 avenue des Etats-Unis\r\n78035 VERSAILLES - France)","institution_ids":["https://openalex.org/I4210155549","https://openalex.org/I4387152735"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018300320","display_name":"Anna Rozanova-Pierrat","orcid":"https://orcid.org/0000-0001-9078-3798"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Anna Rozanova-Pierrat","raw_affiliation_strings":["MAS - Math\u00e9matiques Appliqu\u00e9es aux Syst\u00e8mes - EA 4037 (Grande Voie des Vignes 92295 Ch\u00e2tenay-Malabry - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"MAS - Math\u00e9matiques Appliqu\u00e9es aux Syst\u00e8mes - EA 4037 (Grande Voie des Vignes 92295 Ch\u00e2tenay-Malabry - France)","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012050594","display_name":"Faouzi Triki","orcid":"https://orcid.org/0000-0002-7181-6299"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Faouzi Triki","raw_affiliation_strings":["EDP - Equations aux D\u00e9riv\u00e9es Partielles (France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"EDP - Equations aux D\u00e9riv\u00e9es Partielles (France)","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5041497235"],"corresponding_institution_ids":["https://openalex.org/I29607241","https://openalex.org/I3019441195","https://openalex.org/I4210127506"],"apc_list":null,"apc_paid":null,"fwci":6.2741,"has_fulltext":true,"cited_by_count":43,"citation_normalized_percentile":{"value":0.97439492,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"71","issue":"6","first_page":"2112","last_page":"2130"},"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/T10662","display_name":"Ultrasonics and Acoustic Wave Propagation","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/nabla-symbol","display_name":"Nabla symbol","score":0.9855554699897766},{"id":"https://openalex.org/keywords/omega","display_name":"Omega","score":0.8131717443466187},{"id":"https://openalex.org/keywords/deformation","display_name":"Deformation (meteorology)","score":0.5743367075920105},{"id":"https://openalex.org/keywords/microwave","display_name":"Microwave","score":0.4578165113925934},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4439050257205963},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40758275985717773},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.39383524656295776},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.35489845275878906},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3287758231163025},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3281134366989136},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.32056161761283875},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.0970425009727478}],"concepts":[{"id":"https://openalex.org/C54207081","wikidata":"https://www.wikidata.org/wiki/Q937750","display_name":"Nabla symbol","level":3,"score":0.9855554699897766},{"id":"https://openalex.org/C2779557605","wikidata":"https://www.wikidata.org/wiki/Q9890","display_name":"Omega","level":2,"score":0.8131717443466187},{"id":"https://openalex.org/C204366326","wikidata":"https://www.wikidata.org/wiki/Q3027650","display_name":"Deformation (meteorology)","level":2,"score":0.5743367075920105},{"id":"https://openalex.org/C44838205","wikidata":"https://www.wikidata.org/wiki/Q127995","display_name":"Microwave","level":2,"score":0.4578165113925934},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4439050257205963},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40758275985717773},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.39383524656295776},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.35489845275878906},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3287758231163025},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3281134366989136},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.32056161761283875},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0970425009727478},{"id":"https://openalex.org/C153294291","wikidata":"https://www.wikidata.org/wiki/Q25261","display_name":"Meteorology","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/110828241","is_oa":false,"landing_page_url":"https://doi.org/10.1137/110828241","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:HAL:hal-00655840v1","is_oa":true,"landing_page_url":"https://centralesupelec.hal.science/hal-00655840","pdf_url":"https://centralesupelec.hal.science/hal-00655840/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Applied Mathematics, 2011, 71 (6), pp.2112-2130. &#x27E8;10.1137/110828241&#x27E9;","raw_type":"Journal articles"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.635.1932","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.635.1932","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://hal-ecp.archives-ouvertes.fr/docs/00/65/58/40/PDF/ACGRPT.pdf","raw_type":"text"},{"id":"pmh:oai:ora.ox.ac.uk:uuid:92c5f496-46bd-4744-beb5-d3815750e2f2","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306402636","display_name":"Oxford University Research Archive (ORA) (University of Oxford)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I40120149","host_organization_name":"University of Oxford","host_organization_lineage":["https://openalex.org/I40120149"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Scopus (http://www.scopus.com/home.url)","raw_type":"Journal article"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-00655840v1","is_oa":true,"landing_page_url":"https://centralesupelec.hal.science/hal-00655840","pdf_url":"https://centralesupelec.hal.science/hal-00655840/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Applied Mathematics, 2011, 71 (6), pp.2112-2130. &#x27E8;10.1137/110828241&#x27E9;","raw_type":"Journal articles"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.550000011920929}],"awards":[{"id":"https://openalex.org/G1207306512","display_name":null,"funder_award_id":"DMS-0635607","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2218396265","display_name":"Analysis of Nonlinear Partial Differential Equations","funder_award_id":"EP/E035027/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G6135727698","display_name":null,"funder_award_id":"EP/E035027/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1980592980.pdf","grobid_xml":"https://content.openalex.org/works/W1980592980.grobid-xml"},"referenced_works_count":35,"referenced_works":["https://openalex.org/W285051942","https://openalex.org/W568417546","https://openalex.org/W1543038508","https://openalex.org/W1963802042","https://openalex.org/W1971765522","https://openalex.org/W1975225944","https://openalex.org/W1985838714","https://openalex.org/W2000532998","https://openalex.org/W2000597446","https://openalex.org/W2003156383","https://openalex.org/W2023074414","https://openalex.org/W2027619967","https://openalex.org/W2036322328","https://openalex.org/W2046732189","https://openalex.org/W2046973159","https://openalex.org/W2049176462","https://openalex.org/W2049660658","https://openalex.org/W2050971853","https://openalex.org/W2052396592","https://openalex.org/W2053851915","https://openalex.org/W2062384120","https://openalex.org/W2068067784","https://openalex.org/W2068109231","https://openalex.org/W2069611227","https://openalex.org/W2073970704","https://openalex.org/W2083789485","https://openalex.org/W2101299564","https://openalex.org/W2117929148","https://openalex.org/W2148765710","https://openalex.org/W2154530595","https://openalex.org/W2158205363","https://openalex.org/W2158391105","https://openalex.org/W2171188457","https://openalex.org/W2171450671","https://openalex.org/W2220617834"],"related_works":["https://openalex.org/W2229925025","https://openalex.org/W1539596337","https://openalex.org/W33469805","https://openalex.org/W1855007440","https://openalex.org/W2788247819","https://openalex.org/W2914699178","https://openalex.org/W4301243416","https://openalex.org/W2792440356","https://openalex.org/W3112745479","https://openalex.org/W4378474062"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"show":[4],"that":[5],"by":[6,32],"using":[7],"microwave":[8],"measurements":[9],"at":[10],"different":[11],"frequencies":[12],"and":[13,57,66,74],"ultrasound":[14],"localized":[15],"perturbations":[16],"to":[17,27,45,58],"create":[18],"local":[19],"changes":[20],"in":[21,36,52],"the":[22,29,48,62,69],"medium":[23],"it":[24],"is":[25],"possible":[26],"extend":[28],"method":[30],"developed":[31],"Ammari":[33],"et":[34],"al.":[35],"[SIAM":[37],"J.":[38],"Appl.":[39],"Math.,":[40],"68":[41],"(2008),":[42],"pp.":[43],"1557\u20131573]":[44],"problems":[46],"of":[47],"form":[49],"$\\nabla\\cdot(a\\nabla":[50],"u)+k^{2}qu=0$":[51],"$\\Omega$,":[53],"$u=\\varphi$":[54],"on":[55],"$\\partial\\Omega$,":[56],"reliably":[59],"reconstruct":[60],"both":[61],"real-valued":[63],"functions":[64],"a":[65],"q":[67],"from":[68],"internal":[70],"energies":[71],"$a|\\nabla":[72],"u|^2$":[73],"$q|u|^2$.":[75]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":8},{"year":2014,"cited_by_count":8},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":5}],"updated_date":"2026-05-07T13:39:58.223016","created_date":"2025-10-10T00:00:00"}
