{"id":"https://openalex.org/W2059204142","doi":"https://doi.org/10.1137/130936075","title":"Extraction of Uniformly Accurate Phase Functions Across Smooth Shadow Boundaries in High Frequency Scattering Problems","display_name":"Extraction of Uniformly Accurate Phase Functions Across Smooth Shadow Boundaries in High Frequency Scattering Problems","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2059204142","doi":"https://doi.org/10.1137/130936075","mag":"2059204142"},"language":"en","primary_location":{"id":"doi:10.1137/130936075","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130936075","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://lirias.kuleuven.be/handle/123456789/451541","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5039287368","display_name":"Andreas Asheim","orcid":"https://orcid.org/0000-0001-7682-6958"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Andreas Asheim","raw_affiliation_strings":["DAMTP, University of Cambridge, Wilberforce Road, CB3 0WA, Cambridge, UK (A"],"affiliations":[{"raw_affiliation_string":"DAMTP, University of Cambridge, Wilberforce Road, CB3 0WA, Cambridge, UK (A","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022994939","display_name":"Daan Huybrechs","orcid":"https://orcid.org/0000-0002-0536-2647"},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Daan Huybrechs","raw_affiliation_strings":["Departement Computerwetenschappen, KU Leuven, 3001 Heverlee, Belgium"],"affiliations":[{"raw_affiliation_string":"Departement Computerwetenschappen, KU Leuven, 3001 Heverlee, Belgium","institution_ids":["https://openalex.org/I99464096"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5039287368"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.5253,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.8249725,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"74","issue":"2","first_page":"454","last_page":"476"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9998999834060669,"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"}},{"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/mathematical-analysis","display_name":"Mathematical analysis","score":0.6352242231369019},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5696861743927002},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5398740768432617},{"id":"https://openalex.org/keywords/scattering","display_name":"Scattering","score":0.5000169277191162},{"id":"https://openalex.org/keywords/diffraction","display_name":"Diffraction","score":0.48754116892814636},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.47720441222190857},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.4495849609375},{"id":"https://openalex.org/keywords/asymptotic-analysis","display_name":"Asymptotic analysis","score":0.4376413822174072},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4373721480369568},{"id":"https://openalex.org/keywords/geometrical-optics","display_name":"Geometrical optics","score":0.43649983406066895},{"id":"https://openalex.org/keywords/scattering-theory","display_name":"Scattering theory","score":0.4276607036590576},{"id":"https://openalex.org/keywords/harmonic","display_name":"Harmonic","score":0.41181617975234985},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2461356818675995},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.1653885841369629}],"concepts":[{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6352242231369019},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5696861743927002},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5398740768432617},{"id":"https://openalex.org/C191486275","wikidata":"https://www.wikidata.org/wiki/Q210028","display_name":"Scattering","level":2,"score":0.5000169277191162},{"id":"https://openalex.org/C207114421","wikidata":"https://www.wikidata.org/wiki/Q133900","display_name":"Diffraction","level":2,"score":0.48754116892814636},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.47720441222190857},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.4495849609375},{"id":"https://openalex.org/C119047807","wikidata":"https://www.wikidata.org/wiki/Q752718","display_name":"Asymptotic analysis","level":2,"score":0.4376413822174072},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4373721480369568},{"id":"https://openalex.org/C110277352","wikidata":"https://www.wikidata.org/wiki/Q467980","display_name":"Geometrical optics","level":2,"score":0.43649983406066895},{"id":"https://openalex.org/C67105901","wikidata":"https://www.wikidata.org/wiki/Q903737","display_name":"Scattering theory","level":3,"score":0.4276607036590576},{"id":"https://openalex.org/C127934551","wikidata":"https://www.wikidata.org/wiki/Q1148098","display_name":"Harmonic","level":2,"score":0.41181617975234985},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2461356818675995},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.1653885841369629},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/130936075","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130936075","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:lirias2repo.kuleuven.be:123456789/451541","is_oa":true,"landing_page_url":"https://lirias.kuleuven.be/handle/123456789/451541","pdf_url":null,"source":{"id":"https://openalex.org/S4306401954","display_name":"Lirias (KU Leuven)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I99464096","host_organization_name":"KU Leuven","host_organization_lineage":["https://openalex.org/I99464096"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"TW Reports, vol. 74 (2), Art.No. TW631, (454-476)","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.702.2770","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.702.2770","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://people.cs.kuleuven.be/%7Edaan.huybrechs/research/asheim2014uniform.pdf","raw_type":"text"},{"id":"pmh:oai:lirias2repo.kuleuven.be:123456789/413280","is_oa":true,"landing_page_url":"http://www.cs.kuleuven.be/publicaties/rapporten/tw/TW631.abs.html","pdf_url":null,"source":{"id":"https://openalex.org/S4306401954","display_name":"Lirias (KU Leuven)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I99464096","host_organization_name":"KU Leuven","host_organization_lineage":["https://openalex.org/I99464096"],"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":"TW Reports, Report No. TW631","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"pmh:oai:lirias2repo.kuleuven.be:123456789/451541","is_oa":true,"landing_page_url":"https://lirias.kuleuven.be/handle/123456789/451541","pdf_url":null,"source":{"id":"https://openalex.org/S4306401954","display_name":"Lirias (KU Leuven)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I99464096","host_organization_name":"KU Leuven","host_organization_lineage":["https://openalex.org/I99464096"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"TW Reports, vol. 74 (2), Art.No. TW631, (454-476)","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.7300000190734863}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1517670975","https://openalex.org/W1745964025","https://openalex.org/W1967472447","https://openalex.org/W1967665598","https://openalex.org/W1985526385","https://openalex.org/W2012813672","https://openalex.org/W2017995052","https://openalex.org/W2018543755","https://openalex.org/W2024895678","https://openalex.org/W2026104159","https://openalex.org/W2027727727","https://openalex.org/W2030190170","https://openalex.org/W2031621501","https://openalex.org/W2038870672","https://openalex.org/W2039987313","https://openalex.org/W2056171461","https://openalex.org/W2071338011","https://openalex.org/W2081814612","https://openalex.org/W2092011174","https://openalex.org/W2110168172","https://openalex.org/W2120571024","https://openalex.org/W2141362752","https://openalex.org/W2146034485","https://openalex.org/W2147983461","https://openalex.org/W2169164332","https://openalex.org/W2169806412","https://openalex.org/W2505040439","https://openalex.org/W2506656972"],"related_works":["https://openalex.org/W2031561209","https://openalex.org/W2103176649","https://openalex.org/W2909522479","https://openalex.org/W4210241771","https://openalex.org/W2093875897","https://openalex.org/W2127197643","https://openalex.org/W2069478464","https://openalex.org/W1965128908","https://openalex.org/W2358959122","https://openalex.org/W2156526890"],"abstract_inverted_index":{"Several":[0],"recent":[1],"numerical":[2,113],"schemes":[3],"for":[4,68],"high":[5],"frequency":[6,51],"scattering":[7,80],"simulations":[8],"are":[9,95,102,154],"based":[10,170],"on":[11,49,89,171],"the":[12,50,53,58,90,96,99,105,108,124,129,147,155,162],"extraction":[13],"of":[14,41,43,52,57,60,78,107,128,150,159],"known":[15],"phase":[16,59],"functions":[17],"from":[18,65,70,119],"an":[19,139],"oscillatory":[20],"solution.":[21],"The":[22],"remaining":[23],"function":[24],"is":[25],"typically":[26,63],"no":[27],"longer":[28],"oscillatory,":[29],"and":[30,84,87,137,161,168],"as":[31],"such":[32],"it":[33],"can":[34],"be":[35],"approximated":[36],"numerically":[37],"with":[38],"a":[39,61,82,112],"number":[40],"degrees":[42],"freedom":[44],"that":[45,115,145],"does":[46],"not":[47],"depend":[48],"original":[54],"problem.":[55,152],"Knowledge":[56],"solution":[62,130],"comes":[64],"asymptotic":[66,120,148,164],"analysis,":[67],"example,":[69],"geometrical":[71],"optics.":[72],"We":[73,110,135],"consider":[74],"integral":[75],"equation":[76],"formulations":[77],"time-harmonic":[79],"by":[81,166],"smooth":[83],"convex":[85],"obstacle":[86],"focus":[88],"so-called":[91],"shadow":[92],"boundaries.":[93],"They":[94,153],"points":[97],"where":[98],"incoming":[100],"waves":[101],"tangential":[103],"to":[104],"boundary":[106],"scatterer.":[109],"devise":[111],"method":[114],"incorporates":[116],"advanced":[117],"results":[118],"analysis":[121,165],"which":[122],"describe":[123,136,146],"frequency-dependent":[125],"transitional":[126],"behavior":[127,149],"uniformly":[131],"across":[132],"these":[133],"points.":[134],"resolve":[138],"apparent":[140],"conflict":[141],"between":[142],"two":[143],"theories":[144],"this":[151],"well-known":[156],"geometric":[157],"theory":[158],"diffraction":[160],"rigorous":[163],"Melrose":[167],"Taylor,":[169],"microlocal":[172],"analysis.":[173]},"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":3}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
