{"id":"https://openalex.org/W3033486520","doi":"https://doi.org/10.1007/978-3-030-50399-4_35","title":"Generalized Snell\u2019s Law and Its Verification by Metasurface","display_name":"Generalized Snell\u2019s Law and Its Verification by Metasurface","publication_year":2020,"publication_date":"2020-06-09","ids":{"openalex":"https://openalex.org/W3033486520","doi":"https://doi.org/10.1007/978-3-030-50399-4_35","mag":"3033486520"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-50399-4_35","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-50399-4_35","pdf_url":null,"source":{"id":"https://openalex.org/S2764905038","display_name":"Advances in intelligent systems and computing","issn_l":"2194-5357","issn":["2194-5357","2194-5365"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Intelligent Systems and Computing","raw_type":"book-chapter"},"type":"book-chapter","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/A5102926723","display_name":"Liming Zheng","orcid":"https://orcid.org/0000-0002-7544-3020"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Liming Zheng","raw_affiliation_strings":["Department of Information and Communication, Officers College of PAP, Chengdu, 610213, China"],"affiliations":[{"raw_affiliation_string":"Department of Information and Communication, Officers College of PAP, Chengdu, 610213, China","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100713538","display_name":"Yi Zhao","orcid":"https://orcid.org/0000-0002-2539-9316"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yi Zhao","raw_affiliation_strings":["Department of Information and Communication, Officers College of PAP, Chengdu, 610213, China"],"affiliations":[{"raw_affiliation_string":"Department of Information and Communication, Officers College of PAP, Chengdu, 610213, China","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5102926723"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.11111111,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"364","last_page":"372"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10245","display_name":"Metamaterials and Metasurfaces Applications","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2504","display_name":"Electronic, Optical and Magnetic Materials"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10245","display_name":"Metamaterials and Metasurfaces Applications","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2504","display_name":"Electronic, Optical and Magnetic Materials"},"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":0.9994999766349792,"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"}},{"id":"https://openalex.org/T13121","display_name":"Radio Wave Propagation Studies","score":0.9940999746322632,"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/reflection","display_name":"Reflection (computer programming)","score":0.7885603904724121},{"id":"https://openalex.org/keywords/snells-law","display_name":"Snell's law","score":0.783684492111206},{"id":"https://openalex.org/keywords/fermats-last-theorem","display_name":"Fermat's Last Theorem","score":0.7827683687210083},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5191085338592529},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4348137378692627},{"id":"https://openalex.org/keywords/unit","display_name":"Unit (ring theory)","score":0.4317697286605835},{"id":"https://openalex.org/keywords/total-internal-reflection","display_name":"Total internal reflection","score":0.42507120966911316},{"id":"https://openalex.org/keywords/square","display_name":"Square (algebra)","score":0.4183977544307709},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3597414493560791},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.3517910838127136},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.3187764883041382},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3163298964500427},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.23332026600837708},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18917912244796753},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.12421080470085144},{"id":"https://openalex.org/keywords/refractive-index","display_name":"Refractive index","score":0.11159232258796692}],"concepts":[{"id":"https://openalex.org/C65682993","wikidata":"https://www.wikidata.org/wiki/Q1056451","display_name":"Reflection (computer programming)","level":2,"score":0.7885603904724121},{"id":"https://openalex.org/C90081545","wikidata":"https://www.wikidata.org/wiki/Q208391","display_name":"Snell's law","level":3,"score":0.783684492111206},{"id":"https://openalex.org/C87670640","wikidata":"https://www.wikidata.org/wiki/Q132469","display_name":"Fermat's Last Theorem","level":2,"score":0.7827683687210083},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5191085338592529},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4348137378692627},{"id":"https://openalex.org/C122637931","wikidata":"https://www.wikidata.org/wiki/Q118084","display_name":"Unit (ring theory)","level":2,"score":0.4317697286605835},{"id":"https://openalex.org/C170395517","wikidata":"https://www.wikidata.org/wiki/Q234943","display_name":"Total internal reflection","level":2,"score":0.42507120966911316},{"id":"https://openalex.org/C135692309","wikidata":"https://www.wikidata.org/wiki/Q111124","display_name":"Square (algebra)","level":2,"score":0.4183977544307709},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3597414493560791},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.3517910838127136},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.3187764883041382},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3163298964500427},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.23332026600837708},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18917912244796753},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.12421080470085144},{"id":"https://openalex.org/C42067758","wikidata":"https://www.wikidata.org/wiki/Q174102","display_name":"Refractive index","level":2,"score":0.11159232258796692},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-030-50399-4_35","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-50399-4_35","pdf_url":null,"source":{"id":"https://openalex.org/S2764905038","display_name":"Advances in intelligent systems and computing","issn_l":"2194-5357","issn":["2194-5357","2194-5365"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Intelligent Systems and Computing","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1520870928","https://openalex.org/W1981289394","https://openalex.org/W2025286312","https://openalex.org/W2077735967","https://openalex.org/W2118761136","https://openalex.org/W2121607567","https://openalex.org/W2137064437","https://openalex.org/W2285840974","https://openalex.org/W2289752627","https://openalex.org/W3006331659","https://openalex.org/W3149845592"],"related_works":["https://openalex.org/W2380831774","https://openalex.org/W4388962211","https://openalex.org/W2037195873","https://openalex.org/W2061239282","https://openalex.org/W2364985232","https://openalex.org/W2047048412","https://openalex.org/W2093432978","https://openalex.org/W2371298014","https://openalex.org/W3176019521","https://openalex.org/W4319302848"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
