{"id":"https://openalex.org/W2065192606","doi":"https://doi.org/10.1137/060654542","title":"Numerical Simulation of Acoustic Time Reversal Mirrors","display_name":"Numerical Simulation of Acoustic Time Reversal Mirrors","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W2065192606","doi":"https://doi.org/10.1137/060654542","mag":"2065192606"},"language":"en","primary_location":{"id":"doi:10.1137/060654542","is_oa":false,"landing_page_url":"https://doi.org/10.1137/060654542","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://hal.science/hal-00140349","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5036168795","display_name":"Chokri Ben Amar","orcid":"https://orcid.org/0000-0002-0129-7577"},"institutions":[{"id":"https://openalex.org/I108714496","display_name":"Tunis University","ror":"https://ror.org/02q1spa57","country_code":"TN","type":"education","lineage":["https://openalex.org/I108714496"]}],"countries":["TN"],"is_corresponding":true,"raw_author_name":"Chokri Ben Amar","raw_affiliation_strings":["LR-LAMSIN-ENIT - Laboratoire de Mod\u00e9lisation Math\u00e9matique et Num\u00e9rique dans les Sciences de l'Ing\u00e9nieur [Tunis] (\u00c9cole nationale d\u2019ing\u00e9nieurs de Tunis - Le Belv\u00e9d\u00e8re BP 37 1002 Tunis - Tunisia)"],"affiliations":[{"raw_affiliation_string":"LR-LAMSIN-ENIT - Laboratoire de Mod\u00e9lisation Math\u00e9matique et Num\u00e9rique dans les Sciences de l'Ing\u00e9nieur [Tunis] (\u00c9cole nationale d\u2019ing\u00e9nieurs de Tunis - Le Belv\u00e9d\u00e8re BP 37 1002 Tunis - Tunisia)","institution_ids":["https://openalex.org/I108714496"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058759903","display_name":"Nabil Gmati","orcid":"https://orcid.org/0000-0002-7847-0155"},"institutions":[{"id":"https://openalex.org/I108714496","display_name":"Tunis University","ror":"https://ror.org/02q1spa57","country_code":"TN","type":"education","lineage":["https://openalex.org/I108714496"]}],"countries":["TN"],"is_corresponding":false,"raw_author_name":"Nabil Gmati","raw_affiliation_strings":["LR-LAMSIN-ENIT - Laboratoire de Mod\u00e9lisation Math\u00e9matique et Num\u00e9rique dans les Sciences de l'Ing\u00e9nieur [Tunis] (\u00c9cole nationale d\u2019ing\u00e9nieurs de Tunis - Le Belv\u00e9d\u00e8re BP 37 1002 Tunis - Tunisia)"],"affiliations":[{"raw_affiliation_string":"LR-LAMSIN-ENIT - Laboratoire de Mod\u00e9lisation Math\u00e9matique et Num\u00e9rique dans les Sciences de l'Ing\u00e9nieur [Tunis] (\u00c9cole nationale d\u2019ing\u00e9nieurs de Tunis - Le Belv\u00e9d\u00e8re BP 37 1002 Tunis - Tunisia)","institution_ids":["https://openalex.org/I108714496"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000478123","display_name":"Christophe Hazard","orcid":null},"institutions":[{"id":"https://openalex.org/I4210146116","display_name":"POEMS: Propagation des Ondes : Etude Math\u00e9matique et Simulationan","ror":"https://ror.org/03gvm2667","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I1326498283","https://openalex.org/I201181511","https://openalex.org/I4210095849","https://openalex.org/I4210126360","https://openalex.org/I4210126360","https://openalex.org/I4210145102","https://openalex.org/I4210146116","https://openalex.org/I4405254745","https://openalex.org/I4405260730"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Christophe Hazard","raw_affiliation_strings":["POEMS - Propagation des Ondes : \u00c9tude Math\u00e9matique et Simulation (828, boulevard des Mar\u00e9chaux, 91762 Palaiseau CEDEX - France)"],"affiliations":[{"raw_affiliation_string":"POEMS - Propagation des Ondes : \u00c9tude Math\u00e9matique et Simulation (828, boulevard des Mar\u00e9chaux, 91762 Palaiseau CEDEX - France)","institution_ids":["https://openalex.org/I4210146116"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029115991","display_name":"Karim Ramdani","orcid":null},"institutions":[{"id":"https://openalex.org/I3017839442","display_name":"Institut \u00c9lie Cartan de Lorraine","ror":"https://ror.org/04rvw8791","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I3017839442","https://openalex.org/I4210141950","https://openalex.org/I90183372"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Karim Ramdani","raw_affiliation_strings":["CORIDA - Robust control of infinite dimensional systems and applications (France)","IECN - Institut \u00c9lie Cartan de Nancy (Universit\u00e9 Henri Poincar\u00e9, Campus Scientifique, boulevard des Aiguillettes, 54000 Vandoeuvre-les-Nancy - France)"],"affiliations":[{"raw_affiliation_string":"CORIDA - Robust control of infinite dimensional systems and applications (France)","institution_ids":[]},{"raw_affiliation_string":"IECN - Institut \u00c9lie Cartan de Nancy (Universit\u00e9 Henri Poincar\u00e9, Campus Scientifique, boulevard des Aiguillettes, 54000 Vandoeuvre-les-Nancy - France)","institution_ids":["https://openalex.org/I3017839442","https://openalex.org/I90183372"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5036168795"],"corresponding_institution_ids":["https://openalex.org/I108714496"],"apc_list":null,"apc_paid":null,"fwci":0.5227,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.69433141,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"67","issue":"3","first_page":"777","last_page":"791"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11739","display_name":"Microwave Imaging and Scattering Analysis","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T11739","display_name":"Microwave Imaging and Scattering Analysis","score":1.0,"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":0.9998000264167786,"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"}},{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9995999932289124,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.707207441329956},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.6276652812957764},{"id":"https://openalex.org/keywords/homogeneous","display_name":"Homogeneous","score":0.5837679505348206},{"id":"https://openalex.org/keywords/realization","display_name":"Realization (probability)","score":0.4957903325557709},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.49462100863456726},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.4740198254585266},{"id":"https://openalex.org/keywords/wavelength","display_name":"Wavelength","score":0.4517509341239929},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.354783833026886},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.34350454807281494},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.34284695982933044},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3399427533149719},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.24006247520446777},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.12175443768501282}],"concepts":[{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.707207441329956},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6276652812957764},{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.5837679505348206},{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.4957903325557709},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.49462100863456726},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4740198254585266},{"id":"https://openalex.org/C6260449","wikidata":"https://www.wikidata.org/wiki/Q41364","display_name":"Wavelength","level":2,"score":0.4517509341239929},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.354783833026886},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.34350454807281494},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.34284695982933044},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3399427533149719},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.24006247520446777},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.12175443768501282},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/060654542","is_oa":false,"landing_page_url":"https://doi.org/10.1137/060654542","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-00140349v1","is_oa":true,"landing_page_url":"https://hal.science/hal-00140349","pdf_url":null,"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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Applied Mathematics, 2007, 67 (3), pp.777-791. ⟨10.1137/060654542⟩","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-00140349v1","is_oa":true,"landing_page_url":"https://hal.science/hal-00140349","pdf_url":null,"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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Applied Mathematics, 2007, 67 (3), pp.777-791. ⟨10.1137/060654542⟩","raw_type":"Journal articles"},"sustainable_development_goals":[{"score":0.41999998688697815,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W628287543","https://openalex.org/W1413096550","https://openalex.org/W1523113578","https://openalex.org/W1598326876","https://openalex.org/W1672287459","https://openalex.org/W1970784811","https://openalex.org/W1973867275","https://openalex.org/W1974453403","https://openalex.org/W1986455671","https://openalex.org/W1995773680","https://openalex.org/W2006120042","https://openalex.org/W2008860051","https://openalex.org/W2012583252","https://openalex.org/W2015532618","https://openalex.org/W2018851270","https://openalex.org/W2040078034","https://openalex.org/W2066550301","https://openalex.org/W2075214793","https://openalex.org/W2151283225","https://openalex.org/W2988248151","https://openalex.org/W4236984756","https://openalex.org/W4242763082"],"related_works":["https://openalex.org/W2022544890","https://openalex.org/W2394097730","https://openalex.org/W4312353617","https://openalex.org/W2113405914","https://openalex.org/W2260963831","https://openalex.org/W4235249401","https://openalex.org/W2331305369","https://openalex.org/W2043523297","https://openalex.org/W2015200445","https://openalex.org/W2906277871"],"abstract_inverted_index":{"We":[0,15,51],"study":[1],"the":[2,25,34,37,40,57,74,101,104,111,122,125,131,140,143,146,150],"time":[3,21,58,75],"reversal":[4,22,59,76],"phenomenon":[5],"in":[6,24,53],"a":[7],"homogeneous":[8],"and":[9,39,64,95,103,133,145,148],"nondissipative":[10],"medium":[11],"containing":[12],"sound\u2010hard":[13],"obstacles.":[14,41],"propose":[16],"two":[17],"mathematical":[18],"models":[19],"of":[20,48,73,106,110,114,124,127],"mirrors":[23],"frequency":[26,117],"domain.":[27],"The":[28,42,66],"first":[29],"one":[30,44],"takes":[31],"into":[32],"account":[33],"interactions":[35,141],"between":[36,142,149],"mirror":[38,144],"second":[43],"provides":[45],"an":[46],"approximation":[47],"these":[49,107],"interactions.":[50],"prove,":[52],"both":[54],"cases,":[55],"that":[56,85],"operator":[60],"T":[61,128],"is":[62,78,89],"self\u2010adjoint":[63],"compact.":[65],"DORT":[67],"method":[68],"(French":[69],"acronym":[70],"for":[71,93],"decomposition":[72],"operator)":[77],"explored":[79],"numerically.":[80],"In":[81],"particular,":[82],"we":[83,120,134],"show":[84,135],"selective":[86],"focusing,":[87],"which":[88],"known":[90],"to":[91,130,139],"occur":[92],"small":[94],"distant":[96],"enough":[97],"scatterers,":[98],"holds":[99],"when":[100],"wavelength":[102],"size":[105],"scatterers":[108],"are":[109],"same":[112],"order":[113],"magnitude":[115],"(medium":[116],"situation).":[118],"Moreover,":[119],"present":[121],"behavior":[123],"eigenvalues":[126],"according":[129],"frequency,":[132],"their":[136],"oscillations":[137],"due":[138],"obstacles":[147,151],"themselves.":[152]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-03-01T08:55:55.761014","created_date":"2016-06-24T00:00:00"}