{"id":"https://openalex.org/W1983993339","doi":"https://doi.org/10.1137/060658618","title":"Inverse Source Problem in Nonhomogeneous Background Media","display_name":"Inverse Source Problem in Nonhomogeneous Background Media","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W1983993339","doi":"https://doi.org/10.1137/060658618","mag":"1983993339"},"language":"en","primary_location":{"id":"doi:10.1137/060658618","is_oa":false,"landing_page_url":"https://doi.org/10.1137/060658618","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/A5003803515","display_name":"Anthony J. Devaney","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Anthony J. Devaney","raw_affiliation_strings":["Department of Electrical and Computer Engineering Northeastern University 02115"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering Northeastern University 02115","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067436333","display_name":"Edwin A. Marengo","orcid":"https://orcid.org/0000-0002-9929-3792"},"institutions":[{"id":"https://openalex.org/I12912129","display_name":"Northeastern University","ror":"https://ror.org/04t5xt781","country_code":"US","type":"education","lineage":["https://openalex.org/I12912129"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Edwin A. Marengo","raw_affiliation_strings":["northeastern Univ"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"northeastern Univ","institution_ids":["https://openalex.org/I12912129"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100331897","display_name":"Mei Li","orcid":"https://orcid.org/0000-0001-9868-951X"},"institutions":[{"id":"https://openalex.org/I12912129","display_name":"Northeastern University","ror":"https://ror.org/04t5xt781","country_code":"US","type":"education","lineage":["https://openalex.org/I12912129"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mei Li","raw_affiliation_strings":["northeastern Univ"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"northeastern Univ","institution_ids":["https://openalex.org/I12912129"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.315,"has_fulltext":false,"cited_by_count":77,"citation_normalized_percentile":{"value":0.8684651,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"67","issue":"5","first_page":"1353","last_page":"1378"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11739","display_name":"Microwave Imaging and Scattering Analysis","score":0.9993000030517578,"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":0.9993000030517578,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9991000294685364,"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/T13493","display_name":"Optical and Acousto-Optic Technologies","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.6805641651153564},{"id":"https://openalex.org/keywords/spherical-harmonics","display_name":"Spherical harmonics","score":0.6724734902381897},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.6061633825302124},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.5381577610969543},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5133597254753113},{"id":"https://openalex.org/keywords/energy","display_name":"Energy (signal processing)","score":0.5108737349510193},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.5085848569869995},{"id":"https://openalex.org/keywords/scalar-field","display_name":"Scalar field","score":0.49218645691871643},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.384566992521286},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.23682257533073425},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2228376865386963},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.16160506010055542}],"concepts":[{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.6805641651153564},{"id":"https://openalex.org/C3768446","wikidata":"https://www.wikidata.org/wiki/Q877100","display_name":"Spherical harmonics","level":2,"score":0.6724734902381897},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.6061633825302124},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.5381577610969543},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5133597254753113},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.5108737349510193},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5085848569869995},{"id":"https://openalex.org/C110521144","wikidata":"https://www.wikidata.org/wiki/Q193460","display_name":"Scalar field","level":2,"score":0.49218645691871643},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.384566992521286},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.23682257533073425},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2228376865386963},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.16160506010055542}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/060658618","is_oa":false,"landing_page_url":"https://doi.org/10.1137/060658618","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:CiteSeerX.psu:10.1.1.489.2205","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.489.2205","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ece.neu.edu/faculty/devaney/preprints/isourcepap1.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.8700000047683716,"id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":59,"referenced_works":["https://openalex.org/W619458845","https://openalex.org/W1492587608","https://openalex.org/W1505881492","https://openalex.org/W1517670975","https://openalex.org/W1523113578","https://openalex.org/W1556559448","https://openalex.org/W1568351464","https://openalex.org/W1643487661","https://openalex.org/W1666853924","https://openalex.org/W1954333914","https://openalex.org/W1983108598","https://openalex.org/W1989886107","https://openalex.org/W2000516147","https://openalex.org/W2006103870","https://openalex.org/W2007163103","https://openalex.org/W2015917971","https://openalex.org/W2018652586","https://openalex.org/W2019135037","https://openalex.org/W2028345182","https://openalex.org/W2029211299","https://openalex.org/W2032231305","https://openalex.org/W2034961158","https://openalex.org/W2036286323","https://openalex.org/W2037023284","https://openalex.org/W2047492005","https://openalex.org/W2049387919","https://openalex.org/W2062599941","https://openalex.org/W2063702439","https://openalex.org/W2066451613","https://openalex.org/W2066511210","https://openalex.org/W2072395930","https://openalex.org/W2079560074","https://openalex.org/W2084755212","https://openalex.org/W2096005991","https://openalex.org/W2098883640","https://openalex.org/W2102748208","https://openalex.org/W2103050384","https://openalex.org/W2104374347","https://openalex.org/W2108177459","https://openalex.org/W2109806961","https://openalex.org/W2110153299","https://openalex.org/W2110215461","https://openalex.org/W2111572353","https://openalex.org/W2112443405","https://openalex.org/W2112489593","https://openalex.org/W2118503032","https://openalex.org/W2126181120","https://openalex.org/W2126806024","https://openalex.org/W2137898960","https://openalex.org/W2146965821","https://openalex.org/W2151881329","https://openalex.org/W2154329943","https://openalex.org/W2158216081","https://openalex.org/W2158368951","https://openalex.org/W2162710657","https://openalex.org/W2163596983","https://openalex.org/W2477072039","https://openalex.org/W3039083618","https://openalex.org/W4249533076"],"related_works":["https://openalex.org/W2379042074","https://openalex.org/W2950227172","https://openalex.org/W4300097986","https://openalex.org/W259638169","https://openalex.org/W2331917905","https://openalex.org/W4323274447","https://openalex.org/W3012684067","https://openalex.org/W1970712301","https://openalex.org/W3155039083","https://openalex.org/W1970914699"],"abstract_inverted_index":{"The":[0,116],"scalar":[1],"wave":[2,107],"inverse":[3],"source":[4,12,33,96,121],"problem":[5],"(ISP)":[6],"of":[7,15,23,43,71,99,102,119,127],"determining":[8],"an":[9],"unknown":[10],"radiating":[11],"from":[13,136],"knowledge":[14],"the":[16,28,32,51,54,79,83,93],"field":[17],"it":[18,91],"generates":[19],"outside":[20],"its":[21],"region":[22,126],"localization":[24],"is":[25,34,48,76,86,130],"investigated":[26],"for":[27,141],"case":[29,81,118],"in":[30,36,97,123,132],"which":[31],"embedded":[35,122],"a":[37,68,100,113,120,124],"nonhomogeneous":[38,84],"medium":[39],"with":[40],"known":[41],"index":[42,129],"refraction":[44],"profile":[45],"$n(\\mathbf{r})$.":[46],"It":[47],"shown":[49],"that":[50,109],"solution":[52],"to":[53,78,112],"ISP":[55],"having":[56],"minimum":[57,61,94],"energy":[58,62,95],"(the":[59],"so-called":[60],"source)":[63],"can":[64],"be":[65],"obtained":[66],"via":[67],"simple":[69],"method":[70,75],"constrained":[72],"optimization.":[73],"This":[74],"applied":[77],"special":[80,117],"when":[82],"background":[85],"spherically":[87],"symmetric":[88],"($n(\\mathbf{r})=n(r)$),":[89],"and":[90,105,134],"yields":[92],"terms":[98],"series":[101],"spherical":[103,125],"harmonics":[104],"radial":[106],"functions":[108],"are":[110,139],"solutions":[111],"Sturm\u2013Liouville":[114],"problem.":[115],"constant":[128],"treated":[131],"detail,":[133],"results":[135],"computer":[137],"simulations":[138],"presented":[140],"this":[142],"case.":[143]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":9},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":3}],"updated_date":"2026-07-15T18:14:33.161393","created_date":"2025-10-10T00:00:00"}
