{"id":"https://openalex.org/W2034504166","doi":"https://doi.org/10.1137/12087147x","title":"A Multiscale Method for Optical Responses of Nanostructures","display_name":"A Multiscale Method for Optical Responses of Nanostructures","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W2034504166","doi":"https://doi.org/10.1137/12087147x","mag":"2034504166"},"language":"en","primary_location":{"id":"doi:10.1137/12087147x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/12087147x","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/A5018497995","display_name":"Gang Bao","orcid":"https://orcid.org/0000-0003-1591-8095"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Gang Bao","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100324213","display_name":"Di Liu","orcid":"https://orcid.org/0000-0002-0051-9609"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Di Liu","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5007259481","display_name":"Songting Luo","orcid":"https://orcid.org/0000-0003-2904-9169"},"institutions":[{"id":"https://openalex.org/I173911158","display_name":"Iowa State University","ror":"https://ror.org/04rswrd78","country_code":"US","type":"education","lineage":["https://openalex.org/I173911158"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Songting Luo","raw_affiliation_strings":["Iowa State University"],"affiliations":[{"raw_affiliation_string":"Iowa State University","institution_ids":["https://openalex.org/I173911158"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5018497995"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.7094,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.74394759,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"73","issue":"2","first_page":"741","last_page":"756"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9983999729156494,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9983999729156494,"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/T13531","display_name":"Surface and Thin Film Phenomena","score":0.9973000288009644,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/semiclassical-physics","display_name":"Semiclassical physics","score":0.8101494312286377},{"id":"https://openalex.org/keywords/electromagnetic-field","display_name":"Electromagnetic field","score":0.6636199951171875},{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.5445786118507385},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.5237993001937866},{"id":"https://openalex.org/keywords/maxwells-equations","display_name":"Maxwell's equations","score":0.49532976746559143},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.48067793250083923},{"id":"https://openalex.org/keywords/equations-of-motion","display_name":"Equations of motion","score":0.4799947440624237},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.4631008803844452},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.4481026530265808},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.42025429010391235},{"id":"https://openalex.org/keywords/current","display_name":"Current (fluid)","score":0.4138220548629761},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.38425397872924805},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.3618541955947876},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2997121214866638},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.2071710228919983}],"concepts":[{"id":"https://openalex.org/C535169671","wikidata":"https://www.wikidata.org/wiki/Q17080006","display_name":"Semiclassical physics","level":3,"score":0.8101494312286377},{"id":"https://openalex.org/C28843909","wikidata":"https://www.wikidata.org/wiki/Q177625","display_name":"Electromagnetic field","level":2,"score":0.6636199951171875},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.5445786118507385},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5237993001937866},{"id":"https://openalex.org/C59282198","wikidata":"https://www.wikidata.org/wiki/Q51501","display_name":"Maxwell's equations","level":2,"score":0.49532976746559143},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.48067793250083923},{"id":"https://openalex.org/C14037181","wikidata":"https://www.wikidata.org/wiki/Q215007","display_name":"Equations of motion","level":2,"score":0.4799947440624237},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.4631008803844452},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4481026530265808},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.42025429010391235},{"id":"https://openalex.org/C148043351","wikidata":"https://www.wikidata.org/wiki/Q4456944","display_name":"Current (fluid)","level":2,"score":0.4138220548629761},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.38425397872924805},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.3618541955947876},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2997121214866638},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2071710228919983},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/12087147x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/12087147x","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"}],"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/W1563689370","https://openalex.org/W1575701986","https://openalex.org/W1605773447","https://openalex.org/W1645002337","https://openalex.org/W1971324236","https://openalex.org/W1977146182","https://openalex.org/W1981784489","https://openalex.org/W1988276473","https://openalex.org/W1990688759","https://openalex.org/W2015754239","https://openalex.org/W2030976617","https://openalex.org/W2038533471","https://openalex.org/W2056238079","https://openalex.org/W2058398316","https://openalex.org/W2085259167","https://openalex.org/W2091467952","https://openalex.org/W2109161494","https://openalex.org/W2109911863","https://openalex.org/W2112311198","https://openalex.org/W2117818300","https://openalex.org/W2126140700","https://openalex.org/W2134344701","https://openalex.org/W2155216327","https://openalex.org/W2230728100","https://openalex.org/W2501886121","https://openalex.org/W3004355917"],"related_works":["https://openalex.org/W3026729890","https://openalex.org/W2371315936","https://openalex.org/W4384488634","https://openalex.org/W2545967715","https://openalex.org/W2946268021","https://openalex.org/W179942262","https://openalex.org/W4210635634","https://openalex.org/W1976500340","https://openalex.org/W2353328784","https://openalex.org/W2899243769"],"abstract_inverted_index":{"We":[0],"introduce":[1],"a":[2,70],"new":[3],"framework":[4],"for":[5],"the":[6,19,22,26,29,42,47,55,62,76,82,97,107],"multiphysical":[7],"modeling":[8],"and":[9,25,84],"multiscale":[10,90],"computation":[11],"of":[12,21,28,45,64,73],"nano-optical":[13],"responses.":[14],"The":[15],"semiclassical":[16],"theory":[17],"treats":[18],"evolution":[20],"electromagnetic":[23,77],"field":[24,78],"motion":[27],"charged":[30],"particles":[31],"self-consistently":[32],"by":[33],"coupling":[34],"Maxwell":[35],"equations":[36,51,74],"with":[37,96],"quantum":[38],"mechanics.":[39],"To":[40],"overcome":[41],"numerical":[43],"challenge":[44],"solving":[46],"high-dimensional":[48],"many-body":[49],"Schr\u00f6dinger":[50],"involved,":[52],"we":[53],"adopt":[54],"time-dependent":[56],"current":[57,83],"density":[58],"functional":[59],"theory.":[60],"In":[61],"regime":[63],"linear":[65,71],"responses,":[66],"this":[67],"leads":[68],"to":[69,94,105],"system":[72],"determining":[75],"as":[79,81],"well":[80],"electron":[85],"densities":[86],"simultaneously.":[87],"A":[88],"self-consistent":[89],"method":[91],"is":[92],"proposed":[93],"deal":[95],"well-separated":[98],"space":[99],"scales.":[100],"Numerical":[101],"examples":[102],"are":[103],"presented":[104],"illustrate":[106],"resonant":[108],"condition.":[109]},"counts_by_year":[{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
