{"id":"https://openalex.org/W3192190723","doi":"https://doi.org/10.1137/20m1369415","title":"High-Frequency Homogenization for Electromagnetic Heating of Periodic Media","display_name":"High-Frequency Homogenization for Electromagnetic Heating of Periodic Media","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3192190723","doi":"https://doi.org/10.1137/20m1369415","mag":"3192190723"},"language":"en","primary_location":{"id":"doi:10.1137/20m1369415","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1369415","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5042097426","display_name":"Joseph M. Gaone","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Joseph M. Gaone","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002767026","display_name":"B. S. Tilley","orcid":"https://orcid.org/0000-0002-4271-6918"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Burt S. Tilley","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-4271-6918","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5091560811","display_name":"Vadim V. Yakovlev","orcid":"https://orcid.org/0000-0001-7344-505X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Vadim V. Yakovlev","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5042097426"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.08812575,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"19","issue":"3","first_page":"1285","last_page":"1309"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12270","display_name":"Microwave-Assisted Synthesis and Applications","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/1605","display_name":"Organic Chemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12270","display_name":"Microwave-Assisted Synthesis and Applications","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/1605","display_name":"Organic Chemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10262","display_name":"Microwave Engineering and Waveguides","score":0.9487000107765198,"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/T12898","display_name":"Induction Heating and Inverter Technology","score":0.9343000054359436,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/homogenization","display_name":"Homogenization (climate)","score":0.8983370661735535},{"id":"https://openalex.org/keywords/electromagnetic-radiation","display_name":"Electromagnetic radiation","score":0.6481941342353821},{"id":"https://openalex.org/keywords/wavelength","display_name":"Wavelength","score":0.6217681169509888},{"id":"https://openalex.org/keywords/microscale-chemistry","display_name":"Microscale chemistry","score":0.6069221496582031},{"id":"https://openalex.org/keywords/electromagnetic-field","display_name":"Electromagnetic field","score":0.5665228366851807},{"id":"https://openalex.org/keywords/wavenumber","display_name":"Wavenumber","score":0.5403885841369629},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.5200183391571045},{"id":"https://openalex.org/keywords/wave-propagation","display_name":"Wave propagation","score":0.4894810914993286},{"id":"https://openalex.org/keywords/amplitude","display_name":"Amplitude","score":0.4625821113586426},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.4411192536354065},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.3602946996688843},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.3523593544960022},{"id":"https://openalex.org/keywords/computational-physics","display_name":"Computational physics","score":0.3365769684314728},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.2751156687736511},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.13969603180885315},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.08630156517028809}],"concepts":[{"id":"https://openalex.org/C2778722038","wikidata":"https://www.wikidata.org/wiki/Q17030643","display_name":"Homogenization (climate)","level":3,"score":0.8983370661735535},{"id":"https://openalex.org/C149773537","wikidata":"https://www.wikidata.org/wiki/Q12969754","display_name":"Electromagnetic radiation","level":2,"score":0.6481941342353821},{"id":"https://openalex.org/C6260449","wikidata":"https://www.wikidata.org/wiki/Q41364","display_name":"Wavelength","level":2,"score":0.6217681169509888},{"id":"https://openalex.org/C179428855","wikidata":"https://www.wikidata.org/wiki/Q1069216","display_name":"Microscale chemistry","level":2,"score":0.6069221496582031},{"id":"https://openalex.org/C28843909","wikidata":"https://www.wikidata.org/wiki/Q177625","display_name":"Electromagnetic field","level":2,"score":0.5665228366851807},{"id":"https://openalex.org/C121130766","wikidata":"https://www.wikidata.org/wiki/Q192510","display_name":"Wavenumber","level":2,"score":0.5403885841369629},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5200183391571045},{"id":"https://openalex.org/C44886760","wikidata":"https://www.wikidata.org/wiki/Q1758425","display_name":"Wave propagation","level":2,"score":0.4894810914993286},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.4625821113586426},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.4411192536354065},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3602946996688843},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.3523593544960022},{"id":"https://openalex.org/C30475298","wikidata":"https://www.wikidata.org/wiki/Q909554","display_name":"Computational physics","level":1,"score":0.3365769684314728},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.2751156687736511},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.13969603180885315},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.08630156517028809},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.0},{"id":"https://openalex.org/C130217890","wikidata":"https://www.wikidata.org/wiki/Q47041","display_name":"Biodiversity","level":2,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/20m1369415","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1369415","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"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.8700000047683716}],"awards":[{"id":"https://openalex.org/G3744676899","display_name":null,"funder_award_id":"DMS-1337943","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5095643933","display_name":null,"funder_award_id":"FA9550-18-1-0528","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G6298487218","display_name":null,"funder_award_id":"FA9550-15-0476","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W31825760","https://openalex.org/W206418045","https://openalex.org/W1970291241","https://openalex.org/W1973604357","https://openalex.org/W1975137654","https://openalex.org/W1990145788","https://openalex.org/W1993315690","https://openalex.org/W1995571067","https://openalex.org/W2002231468","https://openalex.org/W2005961696","https://openalex.org/W2007673760","https://openalex.org/W2015408750","https://openalex.org/W2018628510","https://openalex.org/W2023029384","https://openalex.org/W2024591965","https://openalex.org/W2041304718","https://openalex.org/W2046810984","https://openalex.org/W2049507764","https://openalex.org/W2051028327","https://openalex.org/W2052442745","https://openalex.org/W2054602882","https://openalex.org/W2056245562","https://openalex.org/W2061031753","https://openalex.org/W2062206171","https://openalex.org/W2063436182","https://openalex.org/W2065103857","https://openalex.org/W2070981778","https://openalex.org/W2079114190","https://openalex.org/W2080429093","https://openalex.org/W2081539752","https://openalex.org/W2085778188","https://openalex.org/W2085883826","https://openalex.org/W2088057495","https://openalex.org/W2105755740","https://openalex.org/W2126488759","https://openalex.org/W2142252293","https://openalex.org/W2171432822","https://openalex.org/W2194316153","https://openalex.org/W2329083918","https://openalex.org/W2335463444","https://openalex.org/W2531492991","https://openalex.org/W2797657389","https://openalex.org/W2906921639","https://openalex.org/W2963655638","https://openalex.org/W3004295648","https://openalex.org/W4205241085"],"related_works":["https://openalex.org/W2538380749","https://openalex.org/W1996228997","https://openalex.org/W1852567006","https://openalex.org/W1511688997","https://openalex.org/W2043494663","https://openalex.org/W1996038109","https://openalex.org/W71028157","https://openalex.org/W4387774813","https://openalex.org/W4247589921","https://openalex.org/W2122200796"],"abstract_inverted_index":{"Electromagnetic":[0],"heating":[1,28],"is":[2,45,113],"the":[3,21,39,42,48,59,69,72,81,88,101,114,122,159,165,172],"process":[4],"where":[5,71],"a":[6,65,94,127,137,162],"composite":[7,67,160],"material":[8],"absorbs":[9],"applied":[10],"electromagnetic":[11,27,43],"radiation":[12],"and":[13,58,76,116,132,149,168],"converts":[14],"this":[15],"energy":[16,19,60],"to":[17,47,154],"internal":[18],"in":[20,68,87,93,124,158],"material.":[22,174],"While":[23],"homogenization":[24,91,118],"models":[25],"for":[26,32,64,100,110,130,136,140],"have":[29],"been":[30],"around":[31],"decades,":[33],"these":[34],"approaches":[35],"break":[36],"down":[37],"when":[38],"wavelength":[40,77],"of":[41,83,126,164,171],"wave":[44],"comparable":[46],"characteristic":[49,73],"microscale":[50,74],"length.":[51],"Here":[52],"we":[53],"derive":[54],"from":[55],"Maxwell's":[56],"equations":[57,63],"equation":[61],"effective":[62],"binary":[66],"case":[70],"length":[75,108],"are":[78],"comparable.":[79],"Under":[80],"assumption":[82],"small":[84],"loss":[85],"factors":[86],"materials,":[89],"high-frequency":[90],"results":[92,123,135],"locally":[95],"temperature":[96],"dependent":[97],"elliptic":[98],"problem":[99],"field":[102,151],"amplitude":[103],"via":[104],"Floquet--Bloch":[105],"theory.":[106],"The":[107],"scale":[109],"thermal":[111,156],"transport":[112],"macroscale,":[115],"classical":[117],"applies.":[119],"We":[120],"characterize":[121,150],"terms":[125],"complex":[128],"wavenumber":[129],"propagation,":[131],"validate":[133],"our":[134],"lamellar":[138],"structure":[139],"which":[141],"an":[142],"exact":[143],"solution":[144],"exists":[145],"under":[146],"isothermal":[147],"conditions,":[148],"strength":[152],"needed":[153],"achieve":[155],"runaway":[157],"as":[161],"function":[163],"resonant":[166],"frequency":[167],"volume":[169],"fraction":[170],"lossless":[173]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
