{"id":"https://openalex.org/W7128300339","doi":"https://doi.org/10.1016/j.rinam.2026.100688","title":"Analytical solutions of 1D Maxwell\u2019s equations via infinite-order expansions","display_name":"Analytical solutions of 1D Maxwell\u2019s equations via infinite-order expansions","publication_year":2026,"publication_date":"2026-02-01","ids":{"openalex":"https://openalex.org/W7128300339","doi":"https://doi.org/10.1016/j.rinam.2026.100688"},"language":"en","primary_location":{"id":"doi:10.1016/j.rinam.2026.100688","doi":"https://doi.org/10.1016/j.rinam.2026.100688","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.rinam.2026.100688","pdf_url":null,"source":{"id":"https://openalex.org/S4210180942","display_name":"Results in Applied Mathematics","issn_l":"2590-0374","issn":["2590-0374","2590-0382"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Results in Applied Mathematics","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1016/j.rinam.2026.100688","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5110683588","display_name":"Di Ge","orcid":"https://orcid.org/0009-0000-8681-0298","observed_orcids":["https://orcid.org/0009-0000-8681-0298"]},"institutions":[{"id":"https://openalex.org/I1290206253","display_name":"Microsoft (United States)","ror":"https://ror.org/00d0nc645","country_code":"US","type":"company","lineage":["https://openalex.org/I1290206253"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"David Wei Ge","raw_affiliation_strings":["Retired, formerly with Microsoft, Redmond, USA"],"raw_orcid":"https://orcid.org/0009-0000-8681-0298","affiliations":[{"raw_affiliation_string":"Retired, formerly with Microsoft, Redmond, USA","institution_ids":["https://openalex.org/I1290206253"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5110683588"],"corresponding_institution_ids":["https://openalex.org/I1290206253"],"apc_list":{"value":1770,"currency":"USD","value_usd":1770},"apc_paid":{"value":1770,"currency":"USD","value_usd":1770},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.05777778,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"29","issue":null,"first_page":"100688","last_page":"100688"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.8026999831199646,"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":0.8026999831199646,"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/T11683","display_name":"Quantum and Classical Electrodynamics","score":0.09120000153779984,"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":0.08389999717473984,"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/maxwell-s-equations","display_name":"Maxwell's equations","score":0.9890000224113464},{"id":"https://openalex.org/keywords/analytical-solution","display_name":"analytical solution","score":0.9639999866485596},{"id":"https://openalex.org/keywords/initial-value-problem","display_name":"initial value problems","score":0.593999981880188},{"id":"https://openalex.org/keywords/source-term","display_name":"source term","score":0.9279999732971191},{"id":"https://openalex.org/keywords/electromagnetic-fields","display_name":"electromagnetic fields","score":0.6740000247955322}],"concepts":[{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5640000104904175},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.5480999946594238},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.5415999889373779},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5367000102996826},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3912000060081482},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.3122999966144562},{"id":"https://openalex.org/C520416788","wikidata":"https://www.wikidata.org/wiki/Q5419229","display_name":"Exact solutions in general relativity","level":2,"score":0.31139999628067017},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.298799991607666},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29420000314712524},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.29260000586509705},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.2685000002384186},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.25040000677108765}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/j.rinam.2026.100688","doi":"https://doi.org/10.1016/j.rinam.2026.100688","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.rinam.2026.100688","pdf_url":null,"source":{"id":"https://openalex.org/S4210180942","display_name":"Results in Applied Mathematics","issn_l":"2590-0374","issn":["2590-0374","2590-0382"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Results in Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:c9c469b965b44345bde944366ca9438c","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/c9c469b965b44345bde944366ca9438c","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Results in Applied Mathematics, Vol 29, Iss , Pp 100688- (2026)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1016/j.rinam.2026.100688","doi":"https://doi.org/10.1016/j.rinam.2026.100688","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.rinam.2026.100688","pdf_url":null,"source":{"id":"https://openalex.org/S4210180942","display_name":"Results in Applied Mathematics","issn_l":"2590-0374","issn":["2590-0374","2590-0382"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Results in Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1970212576","https://openalex.org/W2131687123","https://openalex.org/W2133865602","https://openalex.org/W2142063750","https://openalex.org/W3008631190","https://openalex.org/W4296473409","https://openalex.org/W4390823759","https://openalex.org/W4394012342"],"related_works":[],"abstract_inverted_index":{"Analytical":[0],"solutions":[1,44,75],"to":[2,21,45,64],"Maxwell\u2019s":[3,46],"equations":[4],"are":[5,19],"essential":[6],"for":[7,76,91],"understanding":[8],"the":[9,65,71],"causal":[10],"and":[11,30,61,79,88],"instantaneous":[12],"behavior":[13],"of":[14],"electromagnetic":[15],"fields,":[16],"yet":[17],"they":[18],"challenging":[20],"obtain":[22],"in":[23],"open-space":[24],"settings":[25],"with":[26],"general":[27,53],"initial":[28,59,78],"values":[29,60],"source":[31,62,80],"terms.":[32],"This":[33],"work":[34],"uses":[35],"an":[36],"infinite-order":[37],"estimation":[38],"scheme":[39,49],"that":[40,56],"yields":[41],"closed-form":[42],"analytical":[43],"equations.":[47],"The":[48,82],"is":[50],"expressed":[51],"as":[52],"function-to-function":[54],"transformations":[55],"directly":[57],"map":[58],"terms":[63],"fields.":[66],"Several":[67],"case":[68],"studies":[69],"demonstrate":[70],"method,":[72],"producing":[73],"exact":[74],"different":[77],"configurations.":[81],"results":[83],"provide":[84],"both":[85],"theoretical":[86],"insight":[87],"practical":[89],"benchmarks":[90],"computational":[92],"electromagnetics.":[93]},"counts_by_year":[],"updated_date":"2026-10-01T08:54:57.152042","created_date":"2026-02-08T00:00:00"}
