{"id":"https://openalex.org/W1980269750","doi":"https://doi.org/10.1016/j.cpc.2012.04.026","title":"S4 : A free electromagnetic solver for layered periodic structures","display_name":"S4 : A free electromagnetic solver for layered periodic structures","publication_year":2012,"publication_date":"2012-05-22","ids":{"openalex":"https://openalex.org/W1980269750","doi":"https://doi.org/10.1016/j.cpc.2012.04.026","mag":"1980269750"},"language":"en","primary_location":{"id":"doi:10.1016/j.cpc.2012.04.026","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.cpc.2012.04.026","pdf_url":null,"source":{"id":"https://openalex.org/S142305363","display_name":"Computer Physics Communications","issn_l":"0010-4655","issn":["0010-4655","1879-2944"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computer Physics Communications","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/A5102088008","display_name":"Victor Liu","orcid":null},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Victor Liu","raw_affiliation_strings":["Ginzton Laboratory, Department of Electrical Engineering, Stanford University, Stanford, CA 94305, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ginzton Laboratory, Department of Electrical Engineering, Stanford University, Stanford, CA 94305, USA","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100738747","display_name":"Shanhui Fan","orcid":"https://orcid.org/0000-0002-0081-9732"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shanhui Fan","raw_affiliation_strings":["Ginzton Laboratory, Department of Electrical Engineering, Stanford University, Stanford, CA 94305, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ginzton Laboratory, Department of Electrical Engineering, Stanford University, Stanford, CA 94305, USA","institution_ids":["https://openalex.org/I97018004"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5102088008"],"corresponding_institution_ids":["https://openalex.org/I97018004"],"apc_list":{"value":3670,"currency":"USD","value_usd":3670},"apc_paid":null,"fwci":22.4196,"has_fulltext":false,"cited_by_count":692,"citation_normalized_percentile":{"value":0.99704259,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"183","issue":"10","first_page":"2233","last_page":"2244"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10666","display_name":"Photonic Crystals and Applications","score":0.9991000294685364,"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/T10666","display_name":"Photonic Crystals and Applications","score":0.9991000294685364,"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/T11723","display_name":"Optical Coatings and Gratings","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/2508","display_name":"Surfaces, Coatings and Films"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11383","display_name":"Advanced Antenna and Metasurface Technologies","score":0.9943000078201294,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/computer-science","display_name":"Computer science","score":0.7685452699661255},{"id":"https://openalex.org/keywords/fast-fourier-transform","display_name":"Fast Fourier transform","score":0.5912625789642334},{"id":"https://openalex.org/keywords/message-passing-interface","display_name":"Message Passing Interface","score":0.5843204855918884},{"id":"https://openalex.org/keywords/compiler","display_name":"Compiler","score":0.5722799897193909},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.5549849271774292},{"id":"https://openalex.org/keywords/unix","display_name":"Unix","score":0.5391135215759277},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.5373716354370117},{"id":"https://openalex.org/keywords/identifier","display_name":"Identifier","score":0.5361722707748413},{"id":"https://openalex.org/keywords/fortran","display_name":"Fortran","score":0.5148159861564636},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.4924996793270111},{"id":"https://openalex.org/keywords/software","display_name":"Software","score":0.4691162407398224},{"id":"https://openalex.org/keywords/os-x","display_name":"OS X","score":0.459489643573761},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.4269344210624695},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35269850492477417},{"id":"https://openalex.org/keywords/message-passing","display_name":"Message passing","score":0.29723840951919556}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7685452699661255},{"id":"https://openalex.org/C75172450","wikidata":"https://www.wikidata.org/wiki/Q623950","display_name":"Fast Fourier transform","level":2,"score":0.5912625789642334},{"id":"https://openalex.org/C166782233","wikidata":"https://www.wikidata.org/wiki/Q127879","display_name":"Message Passing Interface","level":3,"score":0.5843204855918884},{"id":"https://openalex.org/C169590947","wikidata":"https://www.wikidata.org/wiki/Q47506","display_name":"Compiler","level":2,"score":0.5722799897193909},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.5549849271774292},{"id":"https://openalex.org/C112968700","wikidata":"https://www.wikidata.org/wiki/Q11368","display_name":"Unix","level":3,"score":0.5391135215759277},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.5373716354370117},{"id":"https://openalex.org/C154504017","wikidata":"https://www.wikidata.org/wiki/Q853614","display_name":"Identifier","level":2,"score":0.5361722707748413},{"id":"https://openalex.org/C2778241615","wikidata":"https://www.wikidata.org/wiki/Q83303","display_name":"Fortran","level":2,"score":0.5148159861564636},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.4924996793270111},{"id":"https://openalex.org/C2777904410","wikidata":"https://www.wikidata.org/wiki/Q7397","display_name":"Software","level":2,"score":0.4691162407398224},{"id":"https://openalex.org/C515153823","wikidata":"https://www.wikidata.org/wiki/Q14116","display_name":"OS X","level":3,"score":0.459489643573761},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.4269344210624695},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35269850492477417},{"id":"https://openalex.org/C854659","wikidata":"https://www.wikidata.org/wiki/Q1859284","display_name":"Message passing","level":2,"score":0.29723840951919556}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.cpc.2012.04.026","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.cpc.2012.04.026","pdf_url":null,"source":{"id":"https://openalex.org/S142305363","display_name":"Computer Physics Communications","issn_l":"0010-4655","issn":["0010-4655","1879-2944"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computer Physics Communications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320332467","display_name":"U.S. Air Force","ror":"https://ror.org/006gmme17"},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":63,"referenced_works":["https://openalex.org/W60615445","https://openalex.org/W1480928214","https://openalex.org/W1570895503","https://openalex.org/W1605773447","https://openalex.org/W1964699038","https://openalex.org/W1967879030","https://openalex.org/W1971037725","https://openalex.org/W1971474502","https://openalex.org/W1975870981","https://openalex.org/W1981404401","https://openalex.org/W1989413298","https://openalex.org/W1995367634","https://openalex.org/W1998341480","https://openalex.org/W2000926001","https://openalex.org/W2001966525","https://openalex.org/W2007937814","https://openalex.org/W2009024361","https://openalex.org/W2010748125","https://openalex.org/W2011964761","https://openalex.org/W2018890340","https://openalex.org/W2020821675","https://openalex.org/W2022980944","https://openalex.org/W2028737698","https://openalex.org/W2030673547","https://openalex.org/W2032042797","https://openalex.org/W2033737934","https://openalex.org/W2044614109","https://openalex.org/W2052936172","https://openalex.org/W2052958169","https://openalex.org/W2054994423","https://openalex.org/W2059324384","https://openalex.org/W2060486860","https://openalex.org/W2060612859","https://openalex.org/W2063158137","https://openalex.org/W2066710402","https://openalex.org/W2075444539","https://openalex.org/W2075782330","https://openalex.org/W2077538732","https://openalex.org/W2078178078","https://openalex.org/W2078622074","https://openalex.org/W2084540419","https://openalex.org/W2087298550","https://openalex.org/W2090843874","https://openalex.org/W2109911863","https://openalex.org/W2109971711","https://openalex.org/W2116057883","https://openalex.org/W2118914178","https://openalex.org/W2125087309","https://openalex.org/W2126734608","https://openalex.org/W2130501798","https://openalex.org/W2133865602","https://openalex.org/W2135942920","https://openalex.org/W2142970464","https://openalex.org/W2146154575","https://openalex.org/W2155138778","https://openalex.org/W2162455750","https://openalex.org/W2165969375","https://openalex.org/W2294564314","https://openalex.org/W2731873610","https://openalex.org/W2798909945","https://openalex.org/W3139268773","https://openalex.org/W4247009238","https://openalex.org/W4302833629"],"related_works":["https://openalex.org/W634263678","https://openalex.org/W2501958676","https://openalex.org/W605022873","https://openalex.org/W586125253","https://openalex.org/W1769567533","https://openalex.org/W3023779573","https://openalex.org/W2333003759","https://openalex.org/W2471374216","https://openalex.org/W1603220108","https://openalex.org/W2482337249"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":14},{"year":2025,"cited_by_count":50},{"year":2024,"cited_by_count":59},{"year":2023,"cited_by_count":56},{"year":2022,"cited_by_count":62},{"year":2021,"cited_by_count":70},{"year":2020,"cited_by_count":62},{"year":2019,"cited_by_count":67},{"year":2018,"cited_by_count":41},{"year":2017,"cited_by_count":48},{"year":2016,"cited_by_count":58},{"year":2015,"cited_by_count":51},{"year":2014,"cited_by_count":37},{"year":2013,"cited_by_count":14},{"year":2012,"cited_by_count":3}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}
