{"id":"https://openalex.org/W2034923661","doi":"https://doi.org/10.1137/s0036142900368277","title":"A Method for Computing Guided Waves in Integrated Optics. Part I: Mathematical Analysis","display_name":"A Method for Computing Guided Waves in Integrated Optics. Part I: Mathematical Analysis","publication_year":2001,"publication_date":"2001-01-01","ids":{"openalex":"https://openalex.org/W2034923661","doi":"https://doi.org/10.1137/s0036142900368277","mag":"2034923661"},"language":"en","primary_location":{"id":"doi:10.1137/s0036142900368277","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036142900368277","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"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 Numerical Analysis","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":null,"display_name":"Dolores G\u00f3mez Pedreira","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Dolores G\u00f3mez Pedreira","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5112637460","display_name":"Patrick Joly","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":"Patrick Joly","raw_affiliation_strings":["Propagation des Ondes : \u00c9tude Math\u00e9matique et Simulation"],"affiliations":[{"raw_affiliation_string":"Propagation des Ondes : \u00c9tude Math\u00e9matique et Simulation","institution_ids":["https://openalex.org/I4210146116"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.1894,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.8714962,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"39","issue":"2","first_page":"596","last_page":"623"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10299","display_name":"Photonic and Optical Devices","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10299","display_name":"Photonic and Optical Devices","score":0.9998000264167786,"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"}},{"id":"https://openalex.org/T10205","display_name":"Advanced Fiber Optic Sensors","score":0.9987999796867371,"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"}},{"id":"https://openalex.org/T11723","display_name":"Optical Coatings and Gratings","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2508","display_name":"Surfaces, Coatings and Films"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6964807510375977},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.6299698352813721},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5448843836784363},{"id":"https://openalex.org/keywords/integrated-optics","display_name":"Integrated optics","score":0.5275444984436035},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.43572402000427246},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.4183116555213928},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4166103005409241},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.27489107847213745},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2509445548057556},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.19688713550567627}],"concepts":[{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6964807510375977},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.6299698352813721},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5448843836784363},{"id":"https://openalex.org/C2984692560","wikidata":"https://www.wikidata.org/wiki/Q523846","display_name":"Integrated optics","level":2,"score":0.5275444984436035},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.43572402000427246},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.4183116555213928},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4166103005409241},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.27489107847213745},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2509445548057556},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.19688713550567627},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/s0036142900368277","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036142900368277","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"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 Numerical Analysis","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-01010356v1","is_oa":false,"landing_page_url":"https://ensta.hal.science/hal-01010356","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 Numerical Analysis, 2001, 39 (2), pp.596-623. ⟨10.1137/S0036142900368277⟩","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W32243079","https://openalex.org/W392083341","https://openalex.org/W432108436","https://openalex.org/W596318718","https://openalex.org/W643986322","https://openalex.org/W999428818","https://openalex.org/W1507758537","https://openalex.org/W1535762314","https://openalex.org/W1589236075","https://openalex.org/W1592958377","https://openalex.org/W1646463005","https://openalex.org/W1973867275","https://openalex.org/W1974574043","https://openalex.org/W1986293636","https://openalex.org/W1991550193","https://openalex.org/W2001811200","https://openalex.org/W2002184873","https://openalex.org/W2003656854","https://openalex.org/W2003874700","https://openalex.org/W2029140879","https://openalex.org/W2069926337","https://openalex.org/W2330696744","https://openalex.org/W2526104538","https://openalex.org/W3015068942","https://openalex.org/W3140551210"],"related_works":["https://openalex.org/W2046435967","https://openalex.org/W4231775656","https://openalex.org/W2383646825","https://openalex.org/W2371018915","https://openalex.org/W2354191502","https://openalex.org/W1972225038","https://openalex.org/W3134658850","https://openalex.org/W2355938171","https://openalex.org/W2597023719","https://openalex.org/W2135528694"],"abstract_inverted_index":{"Electromagnetic":[0],"waveguides":[1],"in":[2,13],"integrated":[3],"optics":[4],"are":[5,9],"propagation":[6,70],"structures":[7],"which":[8,59],"invariant":[10],"under":[11,45],"translation":[12],"one":[14],"space":[15],"direction":[16],"and":[17,65],"whose":[18],"cross":[19],"section":[20],"is":[21],"a":[22,26,34,54,80],"local":[23],"perturbation":[24],"of":[25,42,56,68,82],"stratified":[27,66],"medium.":[28],"In":[29],"this":[30],"paper,":[31],"we":[32],"propose":[33],"new":[35],"method":[36,51],"for":[37],"computing":[38],"the":[39,46,63,69,83],"guided":[40],"modes":[41],"such":[43],"devices":[44],"weak":[47],"guiding":[48],"assumption.":[49],"The":[50],"results":[52],"from":[53],"combination":[55],"analytical":[57],"techniques":[58],"take":[60],"into":[61],"account":[62],"unbounded":[64],"character":[67],"medium":[71],"so":[72],"that":[73],"numerical":[74],"computations":[75],"can":[76],"be":[77],"reduced":[78],"to":[79],"neighborhood":[81],"perturbation.":[84]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2016-06-24T00:00:00"}