{"id":"https://openalex.org/W4402444962","doi":"https://doi.org/10.1137/23m159648x","title":"High-Frequency Homogenization for Periodic Dispersive Media","display_name":"High-Frequency Homogenization for Periodic Dispersive Media","publication_year":2024,"publication_date":"2024-09-11","ids":{"openalex":"https://openalex.org/W4402444962","doi":"https://doi.org/10.1137/23m159648x"},"language":"en","primary_location":{"id":"doi:10.1137/23m159648x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m159648x","pdf_url":null,"source":{"id":"https://openalex.org/S4357572","display_name":"Multiscale Modeling and Simulation","issn_l":"1540-3459","issn":["1540-3459","1540-3467"],"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":"Multiscale Modeling &amp; Simulation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://pure.manchester.ac.uk/ws/files/328693541/2308.08559v1.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5066538488","display_name":"Marie Touboul","orcid":"https://orcid.org/0000-0003-4052-0994"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Marie Touboul","raw_affiliation_strings":["UMI 2004 Abraham de Moivre-CNRS, Department of Mathematics, Imperial College London, London SW7 2AZ, UK"],"raw_orcid":"https://orcid.org/0000-0003-4052-0994","affiliations":[{"raw_affiliation_string":"UMI 2004 Abraham de Moivre-CNRS, Department of Mathematics, Imperial College London, London SW7 2AZ, UK","institution_ids":["https://openalex.org/I47508984"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074573799","display_name":"Benjamin Vial","orcid":"https://orcid.org/0000-0001-9468-0286"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Benjamin Vial","raw_affiliation_strings":["Department of Mathematics, Imperial College London, London SW7 2AZ, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Imperial College London, London SW7 2AZ, UK","institution_ids":["https://openalex.org/I47508984"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078202072","display_name":"Rapha\u00ebl C. Assier","orcid":"https://orcid.org/0000-0001-9848-3482"},"institutions":[{"id":"https://openalex.org/I28407311","display_name":"University of Manchester","ror":"https://ror.org/027m9bs27","country_code":"GB","type":"education","lineage":["https://openalex.org/I28407311"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Rapha\u00ebl Assier","raw_affiliation_strings":["Department of Mathematics, University of Manchester, Manchester M13 9PL, UK"],"raw_orcid":"https://orcid.org/0000-0001-9848-3482","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Manchester, Manchester M13 9PL, UK","institution_ids":["https://openalex.org/I28407311"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061052278","display_name":"S\u00e9bastien Guenneau","orcid":"https://orcid.org/0000-0002-5924-622X"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"S\u00e9bastien Guenneau","raw_affiliation_strings":["The Blackett Laboratory, Department of Physics, UMI 2004 Abraham de Moivre-CNRS, Imperial College London, London SW7 2AZ, UK"],"raw_orcid":"https://orcid.org/0000-0002-5924-622X","affiliations":[{"raw_affiliation_string":"The Blackett Laboratory, Department of Physics, UMI 2004 Abraham de Moivre-CNRS, Imperial College London, London SW7 2AZ, UK","institution_ids":["https://openalex.org/I47508984"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035687670","display_name":"Richard V. Craster","orcid":"https://orcid.org/0000-0001-9799-9639"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Richard V. Craster","raw_affiliation_strings":["Department of Mathematics, UMI 2004 Abraham de Moivre-CNRS, Department of Mechanical Engineering, Imperial College London, London SW7 2AZ, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, UMI 2004 Abraham de Moivre-CNRS, Department of Mechanical Engineering, Imperial College London, London SW7 2AZ, UK","institution_ids":["https://openalex.org/I47508984"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5066538488"],"corresponding_institution_ids":["https://openalex.org/I47508984"],"apc_list":null,"apc_paid":null,"fwci":3.1821,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.92489571,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"22","issue":"3","first_page":"1136","last_page":"1168"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9962999820709229,"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":0.9962999820709229,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9919999837875366,"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/T10666","display_name":"Photonic Crystals and Applications","score":0.991599977016449,"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/homogenization","display_name":"Homogenization (climate)","score":0.8187121748924255},{"id":"https://openalex.org/keywords/quasi-periodic","display_name":"Quasi periodic","score":0.42444509267807007},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.42421630024909973},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38862210512161255},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3388606011867523},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.3376739025115967},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.32119110226631165},{"id":"https://openalex.org/keywords/astrophysics","display_name":"Astrophysics","score":0.08582893013954163}],"concepts":[{"id":"https://openalex.org/C2778722038","wikidata":"https://www.wikidata.org/wiki/Q17030643","display_name":"Homogenization (climate)","level":3,"score":0.8187121748924255},{"id":"https://openalex.org/C3019213175","wikidata":"https://www.wikidata.org/wiki/Q7269515","display_name":"Quasi periodic","level":2,"score":0.42444509267807007},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.42421630024909973},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38862210512161255},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3388606011867523},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.3376739025115967},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.32119110226631165},{"id":"https://openalex.org/C44870925","wikidata":"https://www.wikidata.org/wiki/Q37547","display_name":"Astrophysics","level":1,"score":0.08582893013954163},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C130217890","wikidata":"https://www.wikidata.org/wiki/Q47041","display_name":"Biodiversity","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/23m159648x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m159648x","pdf_url":null,"source":{"id":"https://openalex.org/S4357572","display_name":"Multiscale Modeling and Simulation","issn_l":"1540-3459","issn":["1540-3459","1540-3467"],"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":"Multiscale Modeling &amp; Simulation","raw_type":"journal-article"},{"id":"pmh:oai:pure.atira.dk:openaire_cris_publications/d690ce09-899e-4493-a957-61ac15ad0ccc","is_oa":true,"landing_page_url":"https://research.manchester.ac.uk/en/publications/d690ce09-899e-4493-a957-61ac15ad0ccc","pdf_url":"https://pure.manchester.ac.uk/ws/files/328693541/2308.08559v1.pdf","source":{"id":"https://openalex.org/S4306400662","display_name":"Research Explorer (The University of Manchester)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I28407311","host_organization_name":"University of Manchester","host_organization_lineage":["https://openalex.org/I28407311"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Touboul, M, Vial, B, Assier, R, Guenneau, S & Craster, R 2024, 'High-frequency homogenization for periodic dispersive media', Multiscale Modeling and Simulation, vol. 22, no. 3. https://doi.org/10.1137/23M159648X","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:HAL:hal-04711271v1","is_oa":false,"landing_page_url":"https://hal.science/hal-04711271","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":"Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2024, 22 (3), pp.1136-1168. &#x27E8;10.1137/23M159648X&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:pure.atira.dk:openaire_cris_publications/d690ce09-899e-4493-a957-61ac15ad0ccc","is_oa":true,"landing_page_url":"https://research.manchester.ac.uk/en/publications/d690ce09-899e-4493-a957-61ac15ad0ccc","pdf_url":"https://pure.manchester.ac.uk/ws/files/328693541/2308.08559v1.pdf","source":{"id":"https://openalex.org/S4306400662","display_name":"Research Explorer (The University of Manchester)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I28407311","host_organization_name":"University of Manchester","host_organization_lineage":["https://openalex.org/I28407311"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Touboul, M, Vial, B, Assier, R, Guenneau, S & Craster, R 2024, 'High-frequency homogenization for periodic dispersive media', Multiscale Modeling and Simulation, vol. 22, no. 3. https://doi.org/10.1137/23M159648X","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2531607075","display_name":null,"funder_award_id":"952039","funder_id":"https://openalex.org/F4320332999","funder_display_name":"Horizon 2020 Framework Programme"},{"id":"https://openalex.org/G5045220161","display_name":null,"funder_award_id":"H2020","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G565103984","display_name":null,"funder_award_id":"10033143","funder_id":"https://openalex.org/F4320314731","funder_display_name":"UK Research and Innovation"},{"id":"https://openalex.org/G6226214964","display_name":null,"funder_award_id":"EP/R014604","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G7411185096","display_name":null,"funder_award_id":"952039","funder_id":"https://openalex.org/F4320334322","funder_display_name":"HORIZON EUROPE Framework Programme"},{"id":"https://openalex.org/G8178846314","display_name":"Metamaterial Enabled Vibration Energy Harvesting","funder_award_id":"952039","funder_id":"https://openalex.org/F4320338336","funder_display_name":"H2020 Future and Emerging Technologies"}],"funders":[{"id":"https://openalex.org/F4320314707","display_name":"Government of the United Kingdom","ror":"https://ror.org/05wnh3t63"},{"id":"https://openalex.org/F4320314731","display_name":"UK Research and Innovation","ror":"https://ror.org/001aqnf71"},{"id":"https://openalex.org/F4320332999","display_name":"Horizon 2020 Framework Programme","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320334322","display_name":"HORIZON EUROPE Framework Programme","ror":null},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"},{"id":"https://openalex.org/F4320337380","display_name":"Division of Mathematical Sciences","ror":"https://ror.org/051fftw81"},{"id":"https://openalex.org/F4320338336","display_name":"H2020 Future and Emerging Technologies","ror":null}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4402444962.pdf"},"referenced_works_count":55,"referenced_works":["https://openalex.org/W4296862","https://openalex.org/W1553150814","https://openalex.org/W1598582255","https://openalex.org/W1963726137","https://openalex.org/W1968326411","https://openalex.org/W1973825526","https://openalex.org/W1974572452","https://openalex.org/W1987938208","https://openalex.org/W1994055708","https://openalex.org/W2003017040","https://openalex.org/W2011655084","https://openalex.org/W2013758637","https://openalex.org/W2021669684","https://openalex.org/W2021856381","https://openalex.org/W2022460156","https://openalex.org/W2029887342","https://openalex.org/W2029962952","https://openalex.org/W2033996014","https://openalex.org/W2049129866","https://openalex.org/W2050961478","https://openalex.org/W2051709337","https://openalex.org/W2070161878","https://openalex.org/W2074265776","https://openalex.org/W2076046292","https://openalex.org/W2077221127","https://openalex.org/W2079234374","https://openalex.org/W2087317126","https://openalex.org/W2088049925","https://openalex.org/W2126488759","https://openalex.org/W2139782007","https://openalex.org/W2152873637","https://openalex.org/W2158061110","https://openalex.org/W2158737591","https://openalex.org/W2182496206","https://openalex.org/W2260891401","https://openalex.org/W2283616167","https://openalex.org/W2529713577","https://openalex.org/W2539553730","https://openalex.org/W2565550664","https://openalex.org/W2598027716","https://openalex.org/W2738758921","https://openalex.org/W2790493387","https://openalex.org/W2802304697","https://openalex.org/W2803402103","https://openalex.org/W2962885878","https://openalex.org/W3099528508","https://openalex.org/W3101919454","https://openalex.org/W3123254870","https://openalex.org/W3148175779","https://openalex.org/W3168507953","https://openalex.org/W4231075651","https://openalex.org/W4237437042","https://openalex.org/W4256087260","https://openalex.org/W4297477525","https://openalex.org/W4320724762"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2104620528","https://openalex.org/W140119233","https://openalex.org/W2757910772","https://openalex.org/W4249473811","https://openalex.org/W2394422079","https://openalex.org/W1492688905","https://openalex.org/W4319323800","https://openalex.org/W1986747054","https://openalex.org/W4386137911"],"abstract_inverted_index":{"High-frequency":[0],"homogenization":[1],"is":[2],"used":[3],"to":[4],"study":[5],"dispersive":[6],"media,":[7],"containing":[8],"inclusions":[9],"placed":[10],"periodically,":[11],"for":[12,29],"which":[13],"the":[14,17,21,40,50,54],"properties":[15,32],"of":[16,39,49],"material":[18],"depend":[19],"on":[20],"frequency":[22],"(Lorentz":[23],"or":[24],"Drude":[25],"model":[26],"with":[27,64],"damping,":[28],"example).":[30],"Effective":[31],"are":[33,58],"obtained":[34,57],"near":[35],"a":[36],"given":[37],"point":[38],"dispersion":[41,51],"diagram":[42],"in":[43,69],"frequency-wavenumber":[44],"space.":[45],"The":[46],"asymptotic":[47],"approximations":[48],"diagrams,":[52],"and":[53,72],"wavefields,":[55],"so":[56],"then":[59],"cross-validated":[60],"via":[61],"detailed":[62],"comparison":[63],"finite":[65],"element":[66],"method":[67],"simulations":[68],"both":[70],"one":[71],"two":[73],"dimensions.":[74]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":1}],"updated_date":"2026-05-07T13:39:58.223016","created_date":"2025-10-10T00:00:00"}
