{"id":"https://openalex.org/W3094609725","doi":"https://doi.org/10.1137/19m1280612","title":"An Approximate Factorization Method for Inverse Acoustic Scattering with Phaseless Total-Field Data","display_name":"An Approximate Factorization Method for Inverse Acoustic Scattering with Phaseless Total-Field Data","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3094609725","doi":"https://doi.org/10.1137/19m1280612","mag":"3094609725"},"language":"en","primary_location":{"id":"doi:10.1137/19m1280612","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1280612","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://resolver.sub.uni-goettingen.de/purl?gro-2/136145","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100724775","display_name":"Bo Zhang","orcid":"https://orcid.org/0009-0006-5386-308X"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210095018","display_name":"National Center for Mathematics and Interdisciplinary Sciences","ror":"https://ror.org/00s97k668","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210095018"]},{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]},{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bo Zhang","raw_affiliation_strings":["LSEC, NCMIS and Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China and School of Mathematical Sciences,","University of Chinese Academy of Sciences, Beijing 100049, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LSEC, NCMIS and Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China and School of Mathematical Sciences,","institution_ids":["https://openalex.org/I4210120485","https://openalex.org/I4210095018","https://openalex.org/I19820366"]},{"raw_affiliation_string":"University of Chinese Academy of Sciences, Beijing 100049, China","institution_ids":["https://openalex.org/I4210165038"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047634561","display_name":"Haiwen Zhang","orcid":"https://orcid.org/0000-0003-4035-4754"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]},{"id":"https://openalex.org/I74656192","display_name":"University of G\u00f6ttingen","ror":"https://ror.org/01y9bpm73","country_code":"DE","type":"education","lineage":["https://openalex.org/I74656192"]}],"countries":["CN","DE"],"is_corresponding":false,"raw_author_name":"Haiwen Zhang","raw_affiliation_strings":["Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China and Institute for Numerical and Applied Mathematics,","University of G\u00f6ttingen, Lotzestr. 16-18, 37083 G\u00f6ttingen, Germany"],"raw_orcid":"https://orcid.org/0000-0003-4035-4754","affiliations":[{"raw_affiliation_string":"Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China and Institute for Numerical and Applied Mathematics,","institution_ids":["https://openalex.org/I4210120485","https://openalex.org/I19820366"]},{"raw_affiliation_string":"University of G\u00f6ttingen, Lotzestr. 16-18, 37083 G\u00f6ttingen, Germany","institution_ids":["https://openalex.org/I74656192"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.5285,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.81461048,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"80","issue":"5","first_page":"2271","last_page":"2298"},"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":0.9998000264167786,"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":0.9986000061035156,"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/factorization","display_name":"Factorization","score":0.666374683380127},{"id":"https://openalex.org/keywords/inverse-scattering-problem","display_name":"Inverse scattering problem","score":0.6261947154998779},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5971683859825134},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5799928903579712},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5315333008766174},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.5043150186538696},{"id":"https://openalex.org/keywords/sobolev-space","display_name":"Sobolev space","score":0.5041683912277222},{"id":"https://openalex.org/keywords/complex-plane","display_name":"Complex plane","score":0.4884878396987915},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.47900599241256714},{"id":"https://openalex.org/keywords/scattering","display_name":"Scattering","score":0.4543730914592743},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.4447666108608246},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.42959389090538025},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2811630368232727},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.23267605900764465},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.21489986777305603},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1686146855354309},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.13324493169784546}],"concepts":[{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.666374683380127},{"id":"https://openalex.org/C174558057","wikidata":"https://www.wikidata.org/wiki/Q11639409","display_name":"Inverse scattering problem","level":3,"score":0.6261947154998779},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5971683859825134},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5799928903579712},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5315333008766174},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.5043150186538696},{"id":"https://openalex.org/C99730327","wikidata":"https://www.wikidata.org/wiki/Q1501536","display_name":"Sobolev space","level":2,"score":0.5041683912277222},{"id":"https://openalex.org/C179117685","wikidata":"https://www.wikidata.org/wiki/Q328998","display_name":"Complex plane","level":2,"score":0.4884878396987915},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.47900599241256714},{"id":"https://openalex.org/C191486275","wikidata":"https://www.wikidata.org/wiki/Q210028","display_name":"Scattering","level":2,"score":0.4543730914592743},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.4447666108608246},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.42959389090538025},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2811630368232727},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.23267605900764465},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.21489986777305603},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1686146855354309},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.13324493169784546},{"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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","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/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/19m1280612","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1280612","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:publications.goettingen-research-online.de:2/136145","is_oa":true,"landing_page_url":"https://resolver.sub.uni-goettingen.de/purl?gro-2/136145","pdf_url":null,"source":{"id":"https://openalex.org/S4306401634","display_name":"GoeScholar  The Publication Server of the Georg-August-Universit\u00e4t G\u00f6ttingen (Georg-August-Universit\u00e4t G\u00f6ttingen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210122495","host_organization_name":"Asklepios Klinik St. Georg","host_organization_lineage":["https://openalex.org/I4210122495"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:publications.goettingen-research-online.de:2/136145","is_oa":true,"landing_page_url":"https://resolver.sub.uni-goettingen.de/purl?gro-2/136145","pdf_url":null,"source":{"id":"https://openalex.org/S4306401634","display_name":"GoeScholar  The Publication Server of the Georg-August-Universit\u00e4t G\u00f6ttingen (Georg-August-Universit\u00e4t G\u00f6ttingen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210122495","host_organization_name":"Asklepios Klinik St. Georg","host_organization_lineage":["https://openalex.org/I4210122495"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4969315547","display_name":null,"funder_award_id":"91630309","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5569292369","display_name":"\u76f8\u4f4d\u7f3a\u5931\u6570\u636e\u60c5\u5f62\u4e0b\u5c40\u90e8\u7c97\u7cd9\u66f2\u9762\u53cd\u6563\u5c04\u95ee\u9898\u7684\u552f\u4e00\u6027\u548c\u9ad8\u6548\u6570\u503c\u7b97\u6cd5","funder_award_id":"11871466","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":64,"referenced_works":["https://openalex.org/W278858313","https://openalex.org/W1490824570","https://openalex.org/W1964510609","https://openalex.org/W1968312272","https://openalex.org/W1968344760","https://openalex.org/W1983223664","https://openalex.org/W2009020532","https://openalex.org/W2009766219","https://openalex.org/W2021457366","https://openalex.org/W2028817727","https://openalex.org/W2031445862","https://openalex.org/W2037475392","https://openalex.org/W2039771789","https://openalex.org/W2045698585","https://openalex.org/W2082531160","https://openalex.org/W2083707711","https://openalex.org/W2089337236","https://openalex.org/W2089340654","https://openalex.org/W2115850109","https://openalex.org/W2132259582","https://openalex.org/W2132468176","https://openalex.org/W2136436000","https://openalex.org/W2136572963","https://openalex.org/W2137278936","https://openalex.org/W2142949395","https://openalex.org/W2326580344","https://openalex.org/W2332783578","https://openalex.org/W2416067360","https://openalex.org/W2500401920","https://openalex.org/W2512673524","https://openalex.org/W2515007495","https://openalex.org/W2535155561","https://openalex.org/W2538725373","https://openalex.org/W2557428315","https://openalex.org/W2576571571","https://openalex.org/W2597150118","https://openalex.org/W2741129808","https://openalex.org/W2758271156","https://openalex.org/W2794961752","https://openalex.org/W2803261465","https://openalex.org/W2810490455","https://openalex.org/W2899108356","https://openalex.org/W2901989124","https://openalex.org/W2951839343","https://openalex.org/W2962752801","https://openalex.org/W2962789394","https://openalex.org/W2963053625","https://openalex.org/W2963079502","https://openalex.org/W2963223245","https://openalex.org/W2963366171","https://openalex.org/W2963789789","https://openalex.org/W2963832028","https://openalex.org/W2964056273","https://openalex.org/W2964106432","https://openalex.org/W2964127756","https://openalex.org/W2964185390","https://openalex.org/W3098176713","https://openalex.org/W3098670860","https://openalex.org/W3098877181","https://openalex.org/W3098920388","https://openalex.org/W3099868292","https://openalex.org/W3101123351","https://openalex.org/W3104827680","https://openalex.org/W3105593508"],"related_works":["https://openalex.org/W2520812953","https://openalex.org/W2128608246","https://openalex.org/W3101167575","https://openalex.org/W2545426741","https://openalex.org/W1567523647","https://openalex.org/W2144075718","https://openalex.org/W4321641047","https://openalex.org/W2755915683","https://openalex.org/W2033816073","https://openalex.org/W651169017"],"abstract_inverted_index":{"This":[0],"paper":[1,145],"is":[2,22,69,109,140,215],"concerned":[3],"with":[4,10,57,102,124,146,171,229],"the":[5,28,33,37,53,72,76,86,94,114,125,136,147,176,185,189,202,209,216],"inverse":[6,226],"acoustic":[7],"scattering":[8,227],"problem":[9],"phaseless":[11,38,87,95,137,230],"total-field":[12,39,88,96,138],"data":[13,40,97],"at":[14,46],"a":[15,47,58,110,128,172,221],"fixed":[16,48],"frequency.":[17],"An":[18],"approximate":[19],"factorization":[20,126,222],"method":[21,68,224],"developed":[23],"to":[24,82,183,200,219],"numerically":[25],"reconstruct":[26],"both":[27],"location":[29],"and":[30,50,175],"shape":[31],"of":[32,66,85,93,127,135,149,161,188,204,211],"unknown":[34,153,190],"scatterer":[35,154],"from":[36,79],"generated":[41],"by":[42],"incident":[43],"plane":[44],"waves":[45],"frequency":[49],"measured":[51,98],"on":[52,71,99,113],"circle":[54,116],"$\\partial":[55,100],"B_R$":[56,101],"sufficiently":[59],"large":[60,103],"radius":[61],"$R$.":[62],"The":[63,132,152],"theoretical":[64],"analysis":[65],"our":[67,205,212],"based":[70],"asymptotic":[73,133],"property":[74,134],"in":[75,91,143,192],"operator":[77,89,139],"norm":[78],"$H^{1/2}({\\mathbb":[80],"S}^1)$":[81,84,108],"$H^{-1/2}({\\mathbb":[83],"defined":[90],"terms":[92],"enough":[104],"$R$,":[105],"where":[106],"$H^s({\\mathbb":[107],"Sobolev":[111],"space":[112],"unit":[115],"${\\mathbb":[117],"S}^1$":[118],"for":[119,225],"real":[120],"number":[121],"$s$,":[122],"together":[123],"modified":[129],"far-field":[130],"operator.":[131],"also":[141,197],"established":[142],"this":[144,214],"theory":[148],"oscillatory":[150],"integrals.":[151],"can":[155],"be":[156],"either":[157],"an":[158,168],"impenetrable":[159],"obstacle":[160,191],"sound-soft,":[162],"sound-hard,":[163],"or":[164,167],"impedance":[165],"type,":[166],"inhomogeneous":[169],"medium":[170],"compact":[173],"support,":[174],"proposed":[177],"inversion":[178,206],"algorithm":[179],"does":[180],"not":[181],"need":[182],"know":[184],"boundary":[186],"condition":[187],"advance.":[193],"Numerical":[194],"examples":[195],"are":[196],"carried":[198],"out":[199],"demonstrate":[201],"effectiveness":[203],"method.":[207],"To":[208],"best":[210],"knowledge,":[213],"first":[217],"attempt":[218],"develop":[220],"type":[223],"problems":[228],"data.":[231]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":5},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1}],"updated_date":"2026-07-07T14:30:12.667765","created_date":"2025-10-10T00:00:00"}