{"id":"https://openalex.org/W1990902706","doi":"https://doi.org/10.1137/040606053","title":"Modeling of Wave Resonances in Low-Contrast Photonic Crystals","display_name":"Modeling of Wave Resonances in Low-Contrast Photonic Crystals","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W1990902706","doi":"https://doi.org/10.1137/040606053","mag":"1990902706"},"language":"en","primary_location":{"id":"doi:10.1137/040606053","is_oa":false,"landing_page_url":"https://doi.org/10.1137/040606053","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/A5053101001","display_name":"Dmitri Agueev","orcid":null},"institutions":[{"id":"https://openalex.org/I98251732","display_name":"McMaster University","ror":"https://ror.org/02fa3aq29","country_code":"CA","type":"education","lineage":["https://openalex.org/I98251732"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Dmitri Agueev","raw_affiliation_strings":["Department of Mathematics, McMaster University, 1280 Main Street West, Hamilton, ON, Canada, L8S 4K1"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, McMaster University, 1280 Main Street West, Hamilton, ON, Canada, L8S 4K1","institution_ids":["https://openalex.org/I98251732"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046714116","display_name":"Dmitry E. Pelinovsky","orcid":"https://orcid.org/0000-0001-5812-440X"},"institutions":[{"id":"https://openalex.org/I98251732","display_name":"McMaster University","ror":"https://ror.org/02fa3aq29","country_code":"CA","type":"education","lineage":["https://openalex.org/I98251732"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Dmitry Pelinovsky","raw_affiliation_strings":["Department of Mathematics, McMaster University, 1280 Main Street West, Hamilton, ON, Canada, L8S 4K1"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, McMaster University, 1280 Main Street West, Hamilton, ON, Canada, L8S 4K1","institution_ids":["https://openalex.org/I98251732"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5053101001"],"corresponding_institution_ids":["https://openalex.org/I98251732"],"apc_list":null,"apc_paid":null,"fwci":1.7307,"has_fulltext":false,"cited_by_count":26,"citation_normalized_percentile":{"value":0.82707134,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"65","issue":"4","first_page":"1101","last_page":"1129"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10666","display_name":"Photonic Crystals and Applications","score":0.9995999932289124,"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/T10666","display_name":"Photonic Crystals and Applications","score":0.9995999932289124,"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/T11575","display_name":"Nonlinear Photonic Systems","score":0.9851999878883362,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"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/T11050","display_name":"Photorefractive and Nonlinear Optics","score":0.9731000065803528,"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/photonic-crystal","display_name":"Photonic crystal","score":0.7501722574234009},{"id":"https://openalex.org/keywords/bloch-wave","display_name":"Bloch wave","score":0.634860634803772},{"id":"https://openalex.org/keywords/diffraction","display_name":"Diffraction","score":0.6212757229804993},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.6092153787612915},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5934972167015076},{"id":"https://openalex.org/keywords/reflection","display_name":"Reflection (computer programming)","score":0.5268230438232422},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.5077746510505676},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4944798946380615},{"id":"https://openalex.org/keywords/wave-equation","display_name":"Wave equation","score":0.4599868357181549},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.4587346613407135},{"id":"https://openalex.org/keywords/plane-wave","display_name":"Plane wave","score":0.45162856578826904},{"id":"https://openalex.org/keywords/maxwells-equations","display_name":"Maxwell's equations","score":0.4192921817302704},{"id":"https://openalex.org/keywords/plane-wave-expansion-method","display_name":"Plane wave expansion method","score":0.41302576661109924},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.27028703689575195},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.20954740047454834},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.17389467358589172},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08077281713485718}],"concepts":[{"id":"https://openalex.org/C75302062","wikidata":"https://www.wikidata.org/wiki/Q900150","display_name":"Photonic crystal","level":2,"score":0.7501722574234009},{"id":"https://openalex.org/C37689646","wikidata":"https://www.wikidata.org/wiki/Q4454926","display_name":"Bloch wave","level":2,"score":0.634860634803772},{"id":"https://openalex.org/C207114421","wikidata":"https://www.wikidata.org/wiki/Q133900","display_name":"Diffraction","level":2,"score":0.6212757229804993},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6092153787612915},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5934972167015076},{"id":"https://openalex.org/C65682993","wikidata":"https://www.wikidata.org/wiki/Q1056451","display_name":"Reflection (computer programming)","level":2,"score":0.5268230438232422},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.5077746510505676},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4944798946380615},{"id":"https://openalex.org/C59696629","wikidata":"https://www.wikidata.org/wiki/Q193846","display_name":"Wave equation","level":2,"score":0.4599868357181549},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.4587346613407135},{"id":"https://openalex.org/C40308292","wikidata":"https://www.wikidata.org/wiki/Q122518","display_name":"Plane wave","level":2,"score":0.45162856578826904},{"id":"https://openalex.org/C59282198","wikidata":"https://www.wikidata.org/wiki/Q51501","display_name":"Maxwell's equations","level":2,"score":0.4192921817302704},{"id":"https://openalex.org/C115827552","wikidata":"https://www.wikidata.org/wiki/Q3333626","display_name":"Plane wave expansion method","level":3,"score":0.41302576661109924},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27028703689575195},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.20954740047454834},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.17389467358589172},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08077281713485718},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/040606053","is_oa":false,"landing_page_url":"https://doi.org/10.1137/040606053","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:10.1.1.84.7537","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.84.7537","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://dmpeli.mcmaster.ca/PaperBank/PhotCrys3D.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W240029891","https://openalex.org/W1496554474","https://openalex.org/W1642884126","https://openalex.org/W1972257733","https://openalex.org/W1972820997","https://openalex.org/W1976910392","https://openalex.org/W1995884007","https://openalex.org/W2000014022","https://openalex.org/W2006276459","https://openalex.org/W2032135816","https://openalex.org/W2053217874","https://openalex.org/W2056722718","https://openalex.org/W2062086229","https://openalex.org/W2067265108","https://openalex.org/W2069114279","https://openalex.org/W2080018259","https://openalex.org/W2080737909","https://openalex.org/W2080935953","https://openalex.org/W2082849992","https://openalex.org/W2092987417","https://openalex.org/W2143437682","https://openalex.org/W2157005274","https://openalex.org/W2239069546","https://openalex.org/W2325613110","https://openalex.org/W3008609509","https://openalex.org/W4388314704"],"related_works":["https://openalex.org/W4214817802","https://openalex.org/W3011623229","https://openalex.org/W2800326726","https://openalex.org/W1976325771","https://openalex.org/W3023735852","https://openalex.org/W2020611118","https://openalex.org/W2045915490","https://openalex.org/W2032588388","https://openalex.org/W2041439663","https://openalex.org/W2073249900"],"abstract_inverted_index":{"Coupled-mode":[0,18],"equations":[1,6,19],"are":[2],"derived":[3],"from":[4],"Maxwell":[5],"for":[7,38,79],"modeling":[8],"of":[9,28,41,52,62,64,84],"low-contrast":[10],"cubic-lattice":[11],"photonic":[12,30,73],"crystals":[13],"in":[14,25,72],"three":[15],"spatial":[16],"dimensions.":[17],"describe":[20],"resonantly":[21],"interacting":[22],"Bloch":[23],"waves":[24,47],"stop":[26],"bands":[27],"the":[29,34,49,53,60],"crystal.":[31],"We":[32],"study":[33],"linear":[35],"boundary-value":[36,54],"problem":[37,55],"stationary":[39],"transmission":[40],"four":[42],"counter-propagating":[43],"and":[44,66,82],"two":[45],"oblique":[46],"on":[48],"plane.":[50],"Well-posedness":[51],"is":[56],"proved":[57],"by":[58],"using":[59],"method":[61],"separation":[63],"variables":[65],"generalized":[67],"Fourier":[68],"series.":[69],"For":[70],"applications":[71],"optics,":[74],"we":[75],"compute":[76],"integral":[77],"invariants":[78],"transmission,":[80],"reflection,":[81],"diffraction":[83],"resonant":[85],"waves.":[86]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
