{"id":"https://openalex.org/W2898010211","doi":"https://doi.org/10.1137/18m1182218","title":"Monochromatic Identities for the Green Function and Uniqueness Results for Passive Imaging","display_name":"Monochromatic Identities for the Green Function and Uniqueness Results for Passive Imaging","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2898010211","doi":"https://doi.org/10.1137/18m1182218","mag":"2898010211"},"language":"en","primary_location":{"id":"doi:10.1137/18m1182218","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1182218","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-2/136138","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5035967666","display_name":"Alexey Agaltsov","orcid":"https://orcid.org/0000-0002-4277-1423"},"institutions":[{"id":"https://openalex.org/I4210116419","display_name":"Max Planck Institute for Solar System Research","ror":"https://ror.org/02j6gm739","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210116419"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Alexey D. Agaltsov","raw_affiliation_strings":["MPS - Max-Planck-Institut f\u00fcr Sonnensystemforschung = Max Planck Institute for Solar System Research (G\u00f6ttingen, Allemagne - Allemagne)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"MPS - Max-Planck-Institut f\u00fcr Sonnensystemforschung = Max Planck Institute for Solar System Research (G\u00f6ttingen, Allemagne - Allemagne)","institution_ids":["https://openalex.org/I4210116419"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068879441","display_name":"Thorsten Hohage","orcid":"https://orcid.org/0000-0002-5408-2780"},"institutions":[{"id":"https://openalex.org/I4210116419","display_name":"Max Planck Institute for Solar System Research","ror":"https://ror.org/02j6gm739","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210116419"]},{"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":["DE"],"is_corresponding":false,"raw_author_name":"Thorsten Hohage","raw_affiliation_strings":["MPS - Max-Planck-Institut f\u00fcr Sonnensystemforschung = Max Planck Institute for Solar System Research (G\u00f6ttingen, Allemagne - Allemagne)","NAM - Institut f\u00fcr Numerische und Angewandte Mathematik [G\u00f6ttingen] (Universit\u00e4t G\u00f6ttingen Lotzestrasse 16-18 37083 G\u00f6ttingen - Allemagne)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"MPS - Max-Planck-Institut f\u00fcr Sonnensystemforschung = Max Planck Institute for Solar System Research (G\u00f6ttingen, Allemagne - Allemagne)","institution_ids":["https://openalex.org/I4210116419"]},{"raw_affiliation_string":"NAM - Institut f\u00fcr Numerische und Angewandte Mathematik [G\u00f6ttingen] (Universit\u00e4t G\u00f6ttingen Lotzestrasse 16-18 37083 G\u00f6ttingen - Allemagne)","institution_ids":["https://openalex.org/I74656192"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036394367","display_name":"Roman Novikov","orcid":"https://orcid.org/0000-0003-3346-9414"},"institutions":[{"id":"https://openalex.org/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210107641","display_name":"Centre de Math\u00e9matiques Appliqu\u00e9es de l'\u00c9cole polytechnique","ror":"https://ror.org/012e1xn46","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I142476485","https://openalex.org/I4210107641","https://openalex.org/I4210141950","https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Roman G. Novikov","raw_affiliation_strings":["CMAP - Centre de Math\u00e9matiques Appliqu\u00e9es - Ecole Polytechnique (\u00c9cole Polytechnique Route de Saclay 91128 Palaiseau Cedex - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CMAP - Centre de Math\u00e9matiques Appliqu\u00e9es - Ecole Polytechnique (\u00c9cole Polytechnique Route de Saclay 91128 Palaiseau Cedex - France)","institution_ids":["https://openalex.org/I4210107641","https://openalex.org/I142476485"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.269,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.77421159,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"78","issue":"5","first_page":"2865","last_page":"2890"},"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9987999796867371,"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/T10271","display_name":"Seismic Imaging and Inversion Techniques","score":0.9987000226974487,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7004793882369995},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.6786885261535645},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.6576271057128906},{"id":"https://openalex.org/keywords/wave-equation","display_name":"Wave equation","score":0.6573642492294312},{"id":"https://openalex.org/keywords/monochromatic-color","display_name":"Monochromatic color","score":0.5612763166427612},{"id":"https://openalex.org/keywords/acoustic-wave-equation","display_name":"Acoustic wave equation","score":0.5149058103561401},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5023436546325684},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.4677788019180298},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.4547097980976105},{"id":"https://openalex.org/keywords/the-imaginary","display_name":"The Imaginary","score":0.43496400117874146},{"id":"https://openalex.org/keywords/acoustic-wave","display_name":"Acoustic wave","score":0.3267357647418976},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2871335744857788},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.1697068214416504},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.15912142395973206}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7004793882369995},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6786885261535645},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.6576271057128906},{"id":"https://openalex.org/C59696629","wikidata":"https://www.wikidata.org/wiki/Q193846","display_name":"Wave equation","level":2,"score":0.6573642492294312},{"id":"https://openalex.org/C40833965","wikidata":"https://www.wikidata.org/wiki/Q6901438","display_name":"Monochromatic color","level":2,"score":0.5612763166427612},{"id":"https://openalex.org/C145589544","wikidata":"https://www.wikidata.org/wiki/Q4674723","display_name":"Acoustic wave equation","level":3,"score":0.5149058103561401},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5023436546325684},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.4677788019180298},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.4547097980976105},{"id":"https://openalex.org/C135068731","wikidata":"https://www.wikidata.org/wiki/Q1169049","display_name":"The Imaginary","level":2,"score":0.43496400117874146},{"id":"https://openalex.org/C204723758","wikidata":"https://www.wikidata.org/wiki/Q3882459","display_name":"Acoustic wave","level":2,"score":0.3267357647418976},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2871335744857788},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.1697068214416504},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.15912142395973206},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/18m1182218","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1182218","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-01761227v1","is_oa":false,"landing_page_url":"https://hal.science/hal-01761227","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Applied Mathematics, 2018, 78 (5), pp.2865-2890. &#x27E8;10.1137/18M1182218&#x27E9;","raw_type":"Journal articles"},{"id":"pmh:oai:publications.goettingen-research-online.de:2/136138","is_oa":true,"landing_page_url":"https://resolver.sub.uni-goettingen.de/purl?gro-2/136138","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:pure.mpg.de:item_3069086","is_oa":false,"landing_page_url":"http://hdl.handle.net/21.11116/0000-0003-C8C8-A","pdf_url":null,"source":{"id":"https://openalex.org/S4306400654","display_name":"MPG.PuRe (Max Planck Society)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I149899117","host_organization_name":"Max Planck Society","host_organization_lineage":["https://openalex.org/I149899117"],"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","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:publications.goettingen-research-online.de:2/136138","is_oa":true,"landing_page_url":"https://resolver.sub.uni-goettingen.de/purl?gro-2/136138","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1981770481","https://openalex.org/W2002864613","https://openalex.org/W2009033554","https://openalex.org/W2016190564","https://openalex.org/W2018736196","https://openalex.org/W2024771672","https://openalex.org/W2031474063","https://openalex.org/W2035541613","https://openalex.org/W2059427263","https://openalex.org/W2074604051","https://openalex.org/W2089798932","https://openalex.org/W2103377424","https://openalex.org/W2107666871","https://openalex.org/W2118578306","https://openalex.org/W2134262608","https://openalex.org/W2333425423","https://openalex.org/W2398439693","https://openalex.org/W2556934993","https://openalex.org/W2592028842","https://openalex.org/W2963167431","https://openalex.org/W3104444977","https://openalex.org/W4205804184"],"related_works":["https://openalex.org/W2897831310","https://openalex.org/W2367255960","https://openalex.org/W2496915014","https://openalex.org/W4291754597","https://openalex.org/W4285269578","https://openalex.org/W4387829386","https://openalex.org/W4283748940","https://openalex.org/W4378229727","https://openalex.org/W4206373024","https://openalex.org/W2120533002"],"abstract_inverted_index":{"For":[0],"many":[1],"wave":[2,16,31,44,79],"propagation":[3],"problems":[4],"with":[5,72,81],"random":[6],"sources":[7],"it":[8],"has":[9],"been":[10],"demonstrated":[11],"that":[12],"cross":[13],"correlations":[14],"of":[15,24,28,42,50,94,109],"fields":[17],"are":[18],"proportional":[19],"to":[20,35,39,115],"the":[21,25,29,36,47,51,69,77,91,103,106,116],"imaginary":[22,48,107],"part":[23,49,108],"Green":[26,52],"function":[27,53],"underlying":[30],"equation.":[32],"This":[33],"leads":[34],"inverse":[37],"problem":[38],"recover":[40],"coefficients":[41],"a":[43],"equation":[45,71,80],"from":[46],"on":[54],"some":[55],"measurement":[56],"manifold.":[57],"In":[58],"this":[59],"paper":[60],"we":[61,97],"prove,":[62],"in":[63,113],"particular,":[64],"local":[65],"uniqueness":[66],"results":[67],"for":[68,76],"Schr\u00f6dinger":[70],"one":[73,122],"frequency":[74],"and":[75,84,87,105],"acoustic":[78],"unknown":[82],"density":[83],"sound":[85],"speed":[86],"two":[88],"frequencies.":[89],"As":[90],"main":[92],"tool":[93],"our":[95],"analysis,":[96],"establish":[98],"new":[99],"algebraic":[100],"identities":[101],"between":[102],"real":[104],"Green's":[110],"function,":[111],"which":[112],"contrast":[114],"well-known":[117],"Kramers--Kronig":[118],"relations,":[119],"involve":[120],"only":[121],"frequency.":[123]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
