{"id":"https://openalex.org/W2962934804","doi":"https://doi.org/10.1137/18m1181407","title":"Near-Field Imaging of an Unbounded Elastic Rough Surface with a Direct Imaging Method","display_name":"Near-Field Imaging of an Unbounded Elastic Rough Surface with a Direct Imaging Method","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2962934804","doi":"https://doi.org/10.1137/18m1181407","mag":"2962934804"},"language":"en","primary_location":{"id":"doi:10.1137/18m1181407","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1181407","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100386603","display_name":"Xiaoli Liu","orcid":"https://orcid.org/0000-0003-4792-2267"},"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/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":"Xiaoli Liu","raw_affiliation_strings":["University of Chinese Academy of Sciences, Beijing 100049, China","Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China and School of Mathematical Sciences,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Chinese Academy of Sciences, Beijing 100049, China","institution_ids":["https://openalex.org/I4210165038"]},{"raw_affiliation_string":"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/I19820366"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100335192","display_name":"Bo Zhang","orcid":"https://orcid.org/0000-0001-7355-0941"},"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":["University of Chinese Academy of Sciences, Beijing 100049, China","LSEC, NCMIS and Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China and School of Mathematical Sciences,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Chinese Academy of Sciences, Beijing 100049, China","institution_ids":["https://openalex.org/I4210165038"]},{"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"]}]},{"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/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"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Haiwen Zhang","raw_affiliation_strings":["NCMIS and Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Bei-jing 100190, China"],"raw_orcid":"https://orcid.org/0000-0003-4035-4754","affiliations":[{"raw_affiliation_string":"NCMIS and Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Bei-jing 100190, China","institution_ids":["https://openalex.org/I4210120485","https://openalex.org/I4210095018","https://openalex.org/I19820366"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.3618,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.78048345,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"79","issue":"1","first_page":"153","last_page":"176"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11757","display_name":"Seismic Waves and Analysis","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1908","display_name":"Geophysics"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11757","display_name":"Seismic Waves and Analysis","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1908","display_name":"Geophysics"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10662","display_name":"Ultrasonics and Acoustic Wave Propagation","score":0.9997000098228455,"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"}},{"id":"https://openalex.org/T11609","display_name":"Geophysical Methods and Applications","score":0.9979000091552734,"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/helmholtz-equation","display_name":"Helmholtz equation","score":0.596392035484314},{"id":"https://openalex.org/keywords/direct-imaging","display_name":"Direct imaging","score":0.5385310649871826},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5076872110366821},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.49470826983451843},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.49395400285720825},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.48273274302482605},{"id":"https://openalex.org/keywords/inverse-scattering-problem","display_name":"Inverse scattering problem","score":0.4441804885864258},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.43363338708877563},{"id":"https://openalex.org/keywords/cauchy-distribution","display_name":"Cauchy distribution","score":0.4239400625228882},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.27277326583862305},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.24676936864852905},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.2302451729774475},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.09920015931129456}],"concepts":[{"id":"https://openalex.org/C18591234","wikidata":"https://www.wikidata.org/wiki/Q860615","display_name":"Helmholtz equation","level":3,"score":0.596392035484314},{"id":"https://openalex.org/C2993546912","wikidata":"https://www.wikidata.org/wiki/Q591022","display_name":"Direct imaging","level":2,"score":0.5385310649871826},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5076872110366821},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.49470826983451843},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.49395400285720825},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.48273274302482605},{"id":"https://openalex.org/C174558057","wikidata":"https://www.wikidata.org/wiki/Q11639409","display_name":"Inverse scattering problem","level":3,"score":0.4441804885864258},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.43363338708877563},{"id":"https://openalex.org/C49344536","wikidata":"https://www.wikidata.org/wiki/Q726441","display_name":"Cauchy distribution","level":2,"score":0.4239400625228882},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.27277326583862305},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.24676936864852905},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.2302451729774475},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.09920015931129456}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/18m1181407","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1181407","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"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.5199999809265137}],"awards":[{"id":"https://openalex.org/G2772607984","display_name":"\u969c\u788d\u4e0e\u4ecb\u8d28\u6df7\u5408\u53cd\u6563\u5c04\u95ee\u9898\u7684\u6570\u5b66\u7406\u8bba\u548c\u6570\u503c\u7b97\u6cd5","funder_award_id":"11571355","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"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/G503881559","display_name":null,"funder_award_id":"11501558","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W1964448270","https://openalex.org/W1965499806","https://openalex.org/W1969804623","https://openalex.org/W1973753058","https://openalex.org/W1977999593","https://openalex.org/W1999346859","https://openalex.org/W2009884269","https://openalex.org/W2010099677","https://openalex.org/W2014105842","https://openalex.org/W2027513765","https://openalex.org/W2031682286","https://openalex.org/W2039545154","https://openalex.org/W2044042856","https://openalex.org/W2048449879","https://openalex.org/W2052512388","https://openalex.org/W2065099811","https://openalex.org/W2068720913","https://openalex.org/W2075250896","https://openalex.org/W2077344911","https://openalex.org/W2078860407","https://openalex.org/W2085315070","https://openalex.org/W2086203176","https://openalex.org/W2110375299","https://openalex.org/W2126382687","https://openalex.org/W2140764610","https://openalex.org/W2149022715","https://openalex.org/W2168963316","https://openalex.org/W2211580402","https://openalex.org/W2230104944","https://openalex.org/W2277932661","https://openalex.org/W2312749817","https://openalex.org/W2313020600","https://openalex.org/W2322948644","https://openalex.org/W2469324343","https://openalex.org/W2475852043","https://openalex.org/W2526809921","https://openalex.org/W2527800686","https://openalex.org/W2528880411","https://openalex.org/W2540013284","https://openalex.org/W2593913078","https://openalex.org/W2963706981","https://openalex.org/W2963829305","https://openalex.org/W3101035176"],"related_works":["https://openalex.org/W2128608246","https://openalex.org/W2520812953","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/W2594185299"],"abstract_inverted_index":{"This":[0],"paper":[1],"is":[2,23,45,71],"concerned":[3],"with":[4,76],"the":[5,27,32,56,67,81],"inverse":[6],"scattering":[7],"problem":[8],"of":[9,55],"time-harmonic":[10],"elastic":[11,33],"waves":[12],"by":[13,39],"an":[14],"unbounded":[15,28],"rigid":[16],"rough":[17,29],"surface.":[18],"A":[19,42],"direct":[20,57,68],"imaging":[21,58,69],"method":[22],"developed":[24],"to":[25,50,64,78],"reconstruct":[26],"surface":[30],"from":[31],"scattered":[34],"near-field":[35],"Cauchy":[36],"data":[37],"generated":[38],"point":[40],"sources.":[41],"Helmholtz--Kirchhoff-type":[43],"identity":[44],"derived":[46],"and":[47,74],"then":[48],"used":[49],"provide":[51],"a":[52],"theoretical":[53],"analysis":[54],"algorithm.":[59],"Numerical":[60],"experiments":[61],"are":[62],"presented":[63],"show":[65],"that":[66],"algorithm":[70],"fast,":[72],"accurate,":[73],"robust":[75],"respect":[77],"noise":[79],"in":[80],"data.":[82]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}