{"id":"https://openalex.org/W2042725959","doi":"https://doi.org/10.1137/s0036139996307152","title":"Diffraction in the high frequency regime by a thin layer of dielectric material I: The equivalent impedance boundary condition","display_name":"Diffraction in the high frequency regime by a thin layer of dielectric material I: The equivalent impedance boundary condition","publication_year":1998,"publication_date":"1998-01-01","ids":{"openalex":"https://openalex.org/W2042725959","doi":"https://doi.org/10.1137/s0036139996307152","mag":"2042725959"},"language":"en","primary_location":{"id":"doi:10.1137/s0036139996307152","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036139996307152","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/A5022457570","display_name":"Olivier Lafitte","orcid":"https://orcid.org/0000-0002-1839-4584"},"institutions":[{"id":"https://openalex.org/I29607241","display_name":"\u00c9cole Normale Sup\u00e9rieure - PSL","ror":"https://ror.org/05a0dhs15","country_code":"FR","type":"funder","lineage":["https://openalex.org/I2746051580","https://openalex.org/I29607241"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Olivier D. Lafitte","raw_affiliation_strings":["[\u00c9cole Normale Sup\u00e9rieure Paris-Saclay]"],"affiliations":[{"raw_affiliation_string":"[\u00c9cole Normale Sup\u00e9rieure Paris-Saclay]","institution_ids":["https://openalex.org/I29607241"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5022457570"],"corresponding_institution_ids":["https://openalex.org/I29607241"],"apc_list":null,"apc_paid":null,"fwci":0.516,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.62135057,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"59","issue":"3","first_page":"1028","last_page":"1052"},"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":0.9998999834060669,"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":0.9995999932289124,"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/dielectric","display_name":"Dielectric","score":0.7043766379356384},{"id":"https://openalex.org/keywords/diffraction","display_name":"Diffraction","score":0.6639090180397034},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.6378599405288696},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.6019102931022644},{"id":"https://openalex.org/keywords/electrical-impedance","display_name":"Electrical impedance","score":0.5634912252426147},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5299497842788696},{"id":"https://openalex.org/keywords/incidence","display_name":"Incidence (geometry)","score":0.45281073451042175},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.4285935163497925},{"id":"https://openalex.org/keywords/plane-wave","display_name":"Plane wave","score":0.42599019408226013},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39024457335472107},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.37387874722480774},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.36577633023262024},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.35809677839279175},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3522995114326477},{"id":"https://openalex.org/keywords/optoelectronics","display_name":"Optoelectronics","score":0.08098039031028748},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.07742512226104736}],"concepts":[{"id":"https://openalex.org/C133386390","wikidata":"https://www.wikidata.org/wiki/Q184996","display_name":"Dielectric","level":2,"score":0.7043766379356384},{"id":"https://openalex.org/C207114421","wikidata":"https://www.wikidata.org/wiki/Q133900","display_name":"Diffraction","level":2,"score":0.6639090180397034},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.6378599405288696},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6019102931022644},{"id":"https://openalex.org/C17829176","wikidata":"https://www.wikidata.org/wiki/Q179043","display_name":"Electrical impedance","level":2,"score":0.5634912252426147},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5299497842788696},{"id":"https://openalex.org/C61511704","wikidata":"https://www.wikidata.org/wiki/Q1671857","display_name":"Incidence (geometry)","level":2,"score":0.45281073451042175},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.4285935163497925},{"id":"https://openalex.org/C40308292","wikidata":"https://www.wikidata.org/wiki/Q122518","display_name":"Plane wave","level":2,"score":0.42599019408226013},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39024457335472107},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.37387874722480774},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.36577633023262024},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.35809677839279175},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3522995114326477},{"id":"https://openalex.org/C49040817","wikidata":"https://www.wikidata.org/wiki/Q193091","display_name":"Optoelectronics","level":1,"score":0.08098039031028748},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.07742512226104736}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s0036139996307152","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036139996307152","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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W625286297","https://openalex.org/W630824973","https://openalex.org/W1533613088","https://openalex.org/W1967407354","https://openalex.org/W1995197938","https://openalex.org/W1999591273","https://openalex.org/W2016716371","https://openalex.org/W2045688818","https://openalex.org/W2046972138","https://openalex.org/W2063825212","https://openalex.org/W2074287851","https://openalex.org/W2094936561","https://openalex.org/W2608677935","https://openalex.org/W2756833789","https://openalex.org/W4210970781","https://openalex.org/W4245183679","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W55883722","https://openalex.org/W2394379345","https://openalex.org/W2079726820","https://openalex.org/W3215763795","https://openalex.org/W4288816678","https://openalex.org/W4387335896","https://openalex.org/W1487572848","https://openalex.org/W2085694199","https://openalex.org/W2077119516","https://openalex.org/W2073663402"],"abstract_inverted_index":{"We":[0,54],"discuss":[1],"in":[2],"this":[3,56],"paper":[4],"a":[5,17,51,60],"generalized":[6],"impedance":[7],"boundary":[8],"condition":[9,27,57],"that":[10],"can":[11,46],"be":[12,47],"used":[13],"locally":[14],"to":[15,58,68],"replace":[16],"thin":[18],"layer":[19],"of":[20,33,39,41,62,71],"material":[21],"with":[22],"dielectric":[23],"absorbing":[24],"constants.":[25],"This":[26],"takes":[28],"into":[29],"account":[30],"the":[31,34,37,42,65,69],"curvature":[32],"body":[35],"and":[36],"angle":[38],"incidence":[40],"incident":[43],"wave,":[44],"which":[45],"more":[48],"general":[49],"than":[50],"plane":[52],"wave.":[53],"use":[55],"obtain":[59],"system":[61,70],"equations":[63],"outside":[64],"object":[66],"equivalent":[67],"Maxwell":[72],"equations.":[73]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}