{"id":"https://openalex.org/W2055470459","doi":"https://doi.org/10.1137/130941468","title":"The Concept of Heterogeneous Scattering Coefficients and Its Application in Inverse Medium Scattering","display_name":"The Concept of Heterogeneous Scattering Coefficients and Its Application in Inverse Medium Scattering","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2055470459","doi":"https://doi.org/10.1137/130941468","mag":"2055470459"},"language":"en","primary_location":{"id":"doi:10.1137/130941468","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130941468","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"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 Mathematical Analysis","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/A5041497235","display_name":"Habib Ammari","orcid":"https://orcid.org/0000-0001-7278-4877"},"institutions":[{"id":"https://openalex.org/I29607241","display_name":"\u00c9cole Normale Sup\u00e9rieure - PSL","ror":"https://ror.org/05a0dhs15","country_code":"FR","type":"other","lineage":["https://openalex.org/I2746051580","https://openalex.org/I29607241"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Habib Ammari","raw_affiliation_strings":["\u00c9cole Normale sup\u00e9rieure"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"\u00c9cole Normale sup\u00e9rieure","institution_ids":["https://openalex.org/I29607241"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062608081","display_name":"Yat Tin Chow","orcid":"https://orcid.org/0000-0002-7703-5901"},"institutions":[{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"HK","type":"education","lineage":["https://openalex.org/I177725633"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Yat Tin Chow","raw_affiliation_strings":["The Chinese University of Hong Kong"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The Chinese University of Hong Kong","institution_ids":["https://openalex.org/I177725633"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5090609331","display_name":"Jun Zou","orcid":"https://orcid.org/0000-0002-4809-7724"},"institutions":[{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"HK","type":"education","lineage":["https://openalex.org/I177725633"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Jun Zou","raw_affiliation_strings":["The Chinese University of Hong Kong"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The Chinese University of Hong Kong","institution_ids":["https://openalex.org/I177725633"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.4481,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.87186337,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"46","issue":"4","first_page":"2905","last_page":"2935"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":1.0,"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":1.0,"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":0.9980999827384949,"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/scattering","display_name":"Scattering","score":0.8341639041900635},{"id":"https://openalex.org/keywords/inverse-scattering-problem","display_name":"Inverse scattering problem","score":0.7927639484405518},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5877760648727417},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5840575695037842},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.5318263173103333},{"id":"https://openalex.org/keywords/scattering-theory","display_name":"Scattering theory","score":0.5209080576896667},{"id":"https://openalex.org/keywords/inverse-scattering-transform","display_name":"Inverse scattering transform","score":0.4849453270435333},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.4627769887447357},{"id":"https://openalex.org/keywords/permittivity","display_name":"Permittivity","score":0.4166376292705536},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.35196182131767273},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.221561998128891},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.14254048466682434},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.12084248661994934},{"id":"https://openalex.org/keywords/dielectric","display_name":"Dielectric","score":0.08333122730255127}],"concepts":[{"id":"https://openalex.org/C191486275","wikidata":"https://www.wikidata.org/wiki/Q210028","display_name":"Scattering","level":2,"score":0.8341639041900635},{"id":"https://openalex.org/C174558057","wikidata":"https://www.wikidata.org/wiki/Q11639409","display_name":"Inverse scattering problem","level":3,"score":0.7927639484405518},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5877760648727417},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5840575695037842},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.5318263173103333},{"id":"https://openalex.org/C67105901","wikidata":"https://www.wikidata.org/wiki/Q903737","display_name":"Scattering theory","level":3,"score":0.5209080576896667},{"id":"https://openalex.org/C136628613","wikidata":"https://www.wikidata.org/wiki/Q17098188","display_name":"Inverse scattering transform","level":4,"score":0.4849453270435333},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.4627769887447357},{"id":"https://openalex.org/C168651791","wikidata":"https://www.wikidata.org/wiki/Q211569","display_name":"Permittivity","level":3,"score":0.4166376292705536},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.35196182131767273},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.221561998128891},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.14254048466682434},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.12084248661994934},{"id":"https://openalex.org/C133386390","wikidata":"https://www.wikidata.org/wiki/Q184996","display_name":"Dielectric","level":2,"score":0.08333122730255127}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/130941468","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130941468","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"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 Mathematical Analysis","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.703.7495","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.703.7495","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.cuhk.edu.hk/%7Ezou/publication/sima14.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1520450091","https://openalex.org/W1523113578","https://openalex.org/W1543038508","https://openalex.org/W1591857223","https://openalex.org/W1965386465","https://openalex.org/W1966060458","https://openalex.org/W1966675100","https://openalex.org/W1980811401","https://openalex.org/W1990295532","https://openalex.org/W2018207223","https://openalex.org/W2029821262","https://openalex.org/W2039023074","https://openalex.org/W2051959842","https://openalex.org/W2064097838","https://openalex.org/W2064697139","https://openalex.org/W2071098259","https://openalex.org/W2111712733","https://openalex.org/W2120062331","https://openalex.org/W2120433046","https://openalex.org/W2122148818","https://openalex.org/W2130239356","https://openalex.org/W2158152676","https://openalex.org/W2162884527","https://openalex.org/W2241000848","https://openalex.org/W2963539700","https://openalex.org/W3111811539","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2886182558","https://openalex.org/W2269313447","https://openalex.org/W143225781","https://openalex.org/W2468887638","https://openalex.org/W2153097672","https://openalex.org/W2037222243","https://openalex.org/W18924785","https://openalex.org/W4235413718","https://openalex.org/W2959198877","https://openalex.org/W2520812953"],"abstract_inverted_index":{"This":[0,110],"work":[1],"investigates":[2],"the":[3,17,28,32,39,42,50,58,70,77,82,92,96,102,105],"scattering":[4,9,29,43,71,85,97,119],"coefficients":[5,18,30,44,72],"for":[6,63,115],"inverse":[7,83,117],"medium":[8,84,118],"problems.":[10,120],"It":[11],"shows":[12],"some":[13],"fundamental":[14],"properties":[15],"of":[16,41,81,95,104],"such":[19],"as":[20],"symmetry":[21],"and":[22,31,52,66],"tensorial":[23],"properties.":[24],"The":[25],"relationship":[26],"between":[27],"far-field":[33],"pattern":[34],"is":[35,55,73],"also":[36],"derived.":[37],"Furthermore,":[38],"sensitivity":[40],"with":[45],"respect":[46],"to":[47,91],"changes":[48],"in":[49],"permittivity":[51,65],"permeability":[53,67],"distributions":[54,68],"investigated.":[56],"In":[57],"linearized":[59],"case,":[60],"explicit":[61],"formulas":[62],"reconstructing":[64],"from":[69,107],"proposed.":[74],"They":[75],"relate":[76],"exponentially":[78],"ill-posed":[79],"character":[80],"problem":[86],"at":[87],"a":[88,112],"fixed":[89],"frequency":[90],"exponential":[93],"decay":[94],"coefficients.":[98],"Moreover,":[99],"they":[100],"show":[101],"stability":[103],"reconstruction":[106],"multifrequency":[108],"measurements.":[109],"provides":[111],"new":[113],"direction":[114],"solving":[116]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2014,"cited_by_count":1}],"updated_date":"2026-08-06T08:24:18.245995","created_date":"2025-10-10T00:00:00"}
