{"id":"https://openalex.org/W2910898196","doi":"https://doi.org/10.1137/18m1232395","title":"Approximate Cloaking for Time-dependent Maxwell Equations via Transformation Optics","display_name":"Approximate Cloaking for Time-dependent Maxwell Equations via Transformation Optics","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2910898196","doi":"https://doi.org/10.1137/18m1232395","mag":"2910898196"},"language":"en","primary_location":{"id":"doi:10.1137/18m1232395","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1232395","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"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 Mathematical Analysis","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1901.04330","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5078018452","display_name":"Ho\u00e0i-Minh Nguy\u00ean","orcid":"https://orcid.org/0000-0002-5690-6026"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hoai-Minh Nguyen","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-5690-6026","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5005879492","display_name":"Loc Tran","orcid":"https://orcid.org/0000-0001-7894-3314"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Loc X. Tran","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2405,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.50256253,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"51","issue":"5","first_page":"4142","last_page":"4171"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9984999895095825,"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":0.9984999895095825,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9918000102043152,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9793000221252441,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/cloaking","display_name":"Cloaking","score":0.901670515537262},{"id":"https://openalex.org/keywords/transformation-optics","display_name":"Transformation optics","score":0.7483322024345398},{"id":"https://openalex.org/keywords/frequency-domain","display_name":"Frequency domain","score":0.6696663498878479},{"id":"https://openalex.org/keywords/maxwells-equations","display_name":"Maxwell's equations","score":0.5744229555130005},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.5252848863601685},{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.5158766508102417},{"id":"https://openalex.org/keywords/time-domain","display_name":"Time domain","score":0.5013794898986816},{"id":"https://openalex.org/keywords/wave-equation","display_name":"Wave equation","score":0.4887356758117676},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.4805596172809601},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.4674829840660095},{"id":"https://openalex.org/keywords/electromagnetic-radiation","display_name":"Electromagnetic radiation","score":0.4497985541820526},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.44869565963745117},{"id":"https://openalex.org/keywords/novelty","display_name":"Novelty","score":0.4407896399497986},{"id":"https://openalex.org/keywords/metamaterial","display_name":"Metamaterial","score":0.38091930747032166},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.3525424003601074},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3334851861000061},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.28992387652397156},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23831036686897278}],"concepts":[{"id":"https://openalex.org/C62973154","wikidata":"https://www.wikidata.org/wiki/Q868018","display_name":"Cloaking","level":3,"score":0.901670515537262},{"id":"https://openalex.org/C87161607","wikidata":"https://www.wikidata.org/wiki/Q7834091","display_name":"Transformation optics","level":3,"score":0.7483322024345398},{"id":"https://openalex.org/C19118579","wikidata":"https://www.wikidata.org/wiki/Q786423","display_name":"Frequency domain","level":2,"score":0.6696663498878479},{"id":"https://openalex.org/C59282198","wikidata":"https://www.wikidata.org/wiki/Q51501","display_name":"Maxwell's equations","level":2,"score":0.5744229555130005},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5252848863601685},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.5158766508102417},{"id":"https://openalex.org/C103824480","wikidata":"https://www.wikidata.org/wiki/Q185889","display_name":"Time domain","level":2,"score":0.5013794898986816},{"id":"https://openalex.org/C59696629","wikidata":"https://www.wikidata.org/wiki/Q193846","display_name":"Wave equation","level":2,"score":0.4887356758117676},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4805596172809601},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.4674829840660095},{"id":"https://openalex.org/C149773537","wikidata":"https://www.wikidata.org/wiki/Q12969754","display_name":"Electromagnetic radiation","level":2,"score":0.4497985541820526},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.44869565963745117},{"id":"https://openalex.org/C2778738651","wikidata":"https://www.wikidata.org/wiki/Q16546687","display_name":"Novelty","level":2,"score":0.4407896399497986},{"id":"https://openalex.org/C110367647","wikidata":"https://www.wikidata.org/wiki/Q497166","display_name":"Metamaterial","level":2,"score":0.38091930747032166},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3525424003601074},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3334851861000061},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.28992387652397156},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23831036686897278},{"id":"https://openalex.org/C27206212","wikidata":"https://www.wikidata.org/wiki/Q34178","display_name":"Theology","level":1,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1137/18m1232395","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1232395","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"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 Mathematical Analysis","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1901.04330","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1901.04330","pdf_url":"https://arxiv.org/pdf/1901.04330","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:2910898196","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1901.04330","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:HAL:hal-03932718v1","is_oa":true,"landing_page_url":"https://hal.science/hal-03932718","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Mathematical Analysis, 2019, 51 (5), pp.4142-4171. ⟨10.1137/18M1232395⟩","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:infoscience.epfl.ch:262825","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/262825","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"research article"},{"id":"doi:10.48550/arxiv.1901.04330","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1901.04330","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1901.04330","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1901.04330","pdf_url":"https://arxiv.org/pdf/1901.04330","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W1493460179","https://openalex.org/W1532684099","https://openalex.org/W1966060458","https://openalex.org/W1968037565","https://openalex.org/W1971765522","https://openalex.org/W1973485791","https://openalex.org/W1975520731","https://openalex.org/W1987419253","https://openalex.org/W1989049493","https://openalex.org/W1990815477","https://openalex.org/W1995796806","https://openalex.org/W2008456590","https://openalex.org/W2017131292","https://openalex.org/W2019133822","https://openalex.org/W2019710617","https://openalex.org/W2021211036","https://openalex.org/W2029243375","https://openalex.org/W2031621501","https://openalex.org/W2036845041","https://openalex.org/W2048377078","https://openalex.org/W2053882181","https://openalex.org/W2061909310","https://openalex.org/W2087849682","https://openalex.org/W2087902641","https://openalex.org/W2088222374","https://openalex.org/W2093765619","https://openalex.org/W2101299564","https://openalex.org/W2103543412","https://openalex.org/W2105704982","https://openalex.org/W2111712733","https://openalex.org/W2116980198","https://openalex.org/W2135299604","https://openalex.org/W2140888248","https://openalex.org/W2167779058","https://openalex.org/W2222137084","https://openalex.org/W2309103022","https://openalex.org/W2479078586","https://openalex.org/W2938323883","https://openalex.org/W2963220760","https://openalex.org/W2963379440","https://openalex.org/W2963532967","https://openalex.org/W2963545272","https://openalex.org/W2970319778"],"related_works":["https://openalex.org/W2970319778","https://openalex.org/W1554607731","https://openalex.org/W2989998255","https://openalex.org/W3204045104","https://openalex.org/W2162204126","https://openalex.org/W2769986898","https://openalex.org/W2038405212","https://openalex.org/W2915214160","https://openalex.org/W2297935053","https://openalex.org/W2762079536","https://openalex.org/W2188220806","https://openalex.org/W2138496099","https://openalex.org/W2320977748","https://openalex.org/W2735270324","https://openalex.org/W2083161187","https://openalex.org/W2105245092","https://openalex.org/W2043262873","https://openalex.org/W2780305719","https://openalex.org/W2963551603","https://openalex.org/W2047718655"],"abstract_inverted_index":{"We":[0],"study":[1],"approximate":[2],"cloaking":[3],"using":[4],"transformation":[5],"optics":[6],"for":[7,29],"electromagnetic":[8],"waves":[9],"in":[10,25,32,47,62,72],"the":[11,21,26,34,42,48,63,73,82,89],"time":[12],"domain.":[13,76],"Our":[14,77],"approach":[15,78],"is":[16,37,79],"based":[17],"on":[18,88],"estimates":[19],"of":[20,23,84],"degree":[22],"visibility":[24],"frequency":[27,35,52,65,75],"domain":[28,66],"all":[30],"frequencies":[31],"which":[33],"dependence":[36],"explicit.":[38],"The":[39],"difficulty":[40],"and":[41,50,67,69,86],"novelty":[43],"analysis":[44],"parts":[45],"are":[46],"low":[49,64],"high":[51,74],"regimes.":[53],"To":[54],"this":[55],"end,":[56],"we":[57],"implement":[58],"a":[59],"variational":[60],"technique":[61],"multiplier":[68],"duality":[70],"techniques":[71],"inspired":[80],"by":[81],"work":[83],"Nguyen":[85],"Vogelius":[87],"wave":[90],"equation.":[91]},"counts_by_year":[{"year":2019,"cited_by_count":2}],"updated_date":"2026-08-05T07:39:15.569665","created_date":"2025-10-10T00:00:00"}