{"id":"https://openalex.org/W47807761","doi":"https://doi.org/10.1023/a:1014402300371","title":"Maxwell's Equations in a Perturbed Periodic Structure","display_name":"Maxwell's Equations in a Perturbed Periodic Structure","publication_year":2002,"publication_date":"2002-04-01","ids":{"openalex":"https://openalex.org/W47807761","doi":"https://doi.org/10.1023/a:1014402300371","mag":"47807761"},"language":"en","primary_location":{"id":"doi:10.1023/a:1014402300371","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1014402300371","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Computational 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/A5041497235","display_name":"Habib Ammari","orcid":"https://orcid.org/0000-0001-7278-4877"},"institutions":[{"id":"https://openalex.org/I4210107641","display_name":"Centre de Math\u00e9matiques Appliqu\u00e9es","ror":"https://ror.org/012e1xn46","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I142476485","https://openalex.org/I4210107641","https://openalex.org/I4210141950","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Habib Ammari","raw_affiliation_strings":["Centre de Math\u00e9matiques Appliqu\u00e9es, CNRS UMR 7641, Ecole Polytechnique, 91128, Palaiseau, France","Centre de Math\u00e9matiques Appliqu\u00e9es, CNRS UMR 7641, Ecole Polytechnique, Palaiseau, France"],"affiliations":[{"raw_affiliation_string":"Centre de Math\u00e9matiques Appliqu\u00e9es, CNRS UMR 7641, Ecole Polytechnique, 91128, Palaiseau, France","institution_ids":["https://openalex.org/I4210107641","https://openalex.org/I142476485","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Centre de Math\u00e9matiques Appliqu\u00e9es, CNRS UMR 7641, Ecole Polytechnique, Palaiseau, France","institution_ids":["https://openalex.org/I4210107641","https://openalex.org/I142476485","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018497995","display_name":"Gang Bao","orcid":"https://orcid.org/0000-0003-1591-8095"},"institutions":[{"id":"https://openalex.org/I87216513","display_name":"Michigan State University","ror":"https://ror.org/05hs6h993","country_code":"US","type":"education","lineage":["https://openalex.org/I87216513"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Gang Bao","raw_affiliation_strings":["Department of Mathematics, Michigan State University, East Lansing, MI, 48824, USA","Department of Mathematics Michigan State University, East Lansing, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Michigan State University, East Lansing, MI, 48824, USA","institution_ids":["https://openalex.org/I87216513"]},{"raw_affiliation_string":"Department of Mathematics Michigan State University, East Lansing, USA","institution_ids":["https://openalex.org/I87216513"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5041497235"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I142476485","https://openalex.org/I4210107641"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.5481,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.63173752,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"16","issue":"2-3","first_page":"99","last_page":"112"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10666","display_name":"Photonic Crystals and Applications","score":0.9994000196456909,"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":0.9994000196456909,"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9970999956130981,"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/T12466","display_name":"Near-Field Optical Microscopy","score":0.9944000244140625,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.6209738254547119},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.594784140586853},{"id":"https://openalex.org/keywords/electromagnetic-field","display_name":"Electromagnetic field","score":0.5527844429016113},{"id":"https://openalex.org/keywords/electromagnetic-radiation","display_name":"Electromagnetic radiation","score":0.5352559685707092},{"id":"https://openalex.org/keywords/plane-wave","display_name":"Plane wave","score":0.49283289909362793},{"id":"https://openalex.org/keywords/scattering","display_name":"Scattering","score":0.48567140102386475},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.4803289473056793},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.43381983041763306},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.4182650148868561},{"id":"https://openalex.org/keywords/grating","display_name":"Grating","score":0.4154937267303467},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.36006397008895874},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.34103086590766907},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.27291232347488403},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.13302746415138245}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6209738254547119},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.594784140586853},{"id":"https://openalex.org/C28843909","wikidata":"https://www.wikidata.org/wiki/Q177625","display_name":"Electromagnetic field","level":2,"score":0.5527844429016113},{"id":"https://openalex.org/C149773537","wikidata":"https://www.wikidata.org/wiki/Q12969754","display_name":"Electromagnetic radiation","level":2,"score":0.5352559685707092},{"id":"https://openalex.org/C40308292","wikidata":"https://www.wikidata.org/wiki/Q122518","display_name":"Plane wave","level":2,"score":0.49283289909362793},{"id":"https://openalex.org/C191486275","wikidata":"https://www.wikidata.org/wiki/Q210028","display_name":"Scattering","level":2,"score":0.48567140102386475},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.4803289473056793},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.43381983041763306},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4182650148868561},{"id":"https://openalex.org/C2777813233","wikidata":"https://www.wikidata.org/wiki/Q1527816","display_name":"Grating","level":2,"score":0.4154937267303467},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.36006397008895874},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.34103086590766907},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27291232347488403},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.13302746415138245},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1023/a:1014402300371","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1014402300371","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Computational Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1526848701","https://openalex.org/W1967349653","https://openalex.org/W1975075406","https://openalex.org/W1977336080","https://openalex.org/W1979015208","https://openalex.org/W2001619274","https://openalex.org/W2015502616","https://openalex.org/W2023516998","https://openalex.org/W2034285234","https://openalex.org/W2053688083","https://openalex.org/W2056366812","https://openalex.org/W2057549650","https://openalex.org/W2077978724","https://openalex.org/W2083675476","https://openalex.org/W2091659473","https://openalex.org/W2092868327","https://openalex.org/W2092987417","https://openalex.org/W2104746502","https://openalex.org/W2120622871","https://openalex.org/W2244247408"],"related_works":["https://openalex.org/W2371210267","https://openalex.org/W2904350067","https://openalex.org/W4231913454","https://openalex.org/W1970469683","https://openalex.org/W2765848447","https://openalex.org/W1552218349","https://openalex.org/W2771320320","https://openalex.org/W4281806199","https://openalex.org/W332600388","https://openalex.org/W2962735140"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}