乐胖代购免代理版

{"id":"https://openalex.org/W1024081023","doi":"https://doi.org/10.1137/15m1014127","title":"Geometry of Refractions and Reflections Through a Biperiodic Medium","display_name":"Geometry of Refractions and Reflections Through a Biperiodic Medium","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W1024081023","doi":"https://doi.org/10.1137/15m1014127","mag":"1024081023"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1014127","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":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://research.manchester.ac.uk/files/31960244/PAG2ndrevision.logged.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5084524431","display_name":"Paul Glendinning","orcid":"https://orcid.org/0000-0003-1544-9161"},"institutions":[{"id":"https://openalex.org/I4210131439","display_name":"Applied Mathematics (United States)","ror":"https://ror.org/03seew607","country_code":"US","type":"company","lineage":["https://openalex.org/I4210131439"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Paul Glendinning","raw_affiliation_strings":["Applied Mathematics"],"affiliations":[{"raw_affiliation_string":"Applied Mathematics","institution_ids":["https://openalex.org/I4210131439"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5084524431"],"corresponding_institution_ids":["https://openalex.org/I4210131439"],"apc_list":null,"apc_paid":null,"fwci":1.403,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":9,"citation_normalized_percentile":{"value":0.627706,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":85,"max":86},"biblio":{"volume":"76","issue":"4","first_page":"1219","last_page":"1238"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9967,"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"}},"topics":[{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9967,"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/T12504","display_name":"Mathematics and Applications","score":0.9621,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9618,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"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/lattice","display_name":"Lattice (music)","score":0.4839154}],"concepts":[{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6459858},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.6301434},{"id":"https://openalex.org/C42067758","wikidata":"https://www.wikidata.org/wiki/Q174102","display_name":"Refractive index","level":2,"score":0.5268917},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.51355505},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.4839154},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.47814095},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.47367173},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4109128},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.331737},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0734885}],"mesh":[],"locations_count":4,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1014127","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":null,"is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://www.research.manchester.ac.uk/portal/en/publications/geometry-of-refractions-and-reflections-through-a-biperiodic-medium(4f4a52ab-f9f3-443d-90eb-c8c9eecb74e3).html","pdf_url":"https://research.manchester.ac.uk/files/31960244/PAG2ndrevision.logged.pdf","source":{"id":"https://openalex.org/S4306400662","display_name":"Research Explorer (The University of Manchester)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I28407311","host_organization_name":"University of Manchester","host_organization_lineage":["https://openalex.org/I28407311"],"host_organization_lineage_names":["University of Manchester"],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://pure.manchester.ac.uk/ws/files/31960244/PAG2ndrevision.logged.pdf","pdf_url":"https://pure.manchester.ac.uk/ws/files/31960244/PAG2ndrevision.logged.pdf","source":{"id":"https://openalex.org/S4306400662","display_name":"Research Explorer (The University of Manchester)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I28407311","host_organization_name":"University of Manchester","host_organization_lineage":["https://openalex.org/I28407311"],"host_organization_lineage_names":["University of Manchester"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"http://eprints.maths.manchester.ac.uk/2277/1/jmgdraftv7.pdf","pdf_url":"http://eprints.maths.manchester.ac.uk/2277/1/jmgdraftv7.pdf","source":{"id":"https://openalex.org/S4306400452","display_name":"MIMS EPrints (University of Southampton)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I43439940","host_organization_name":"University of Southampton","host_organization_lineage":["https://openalex.org/I43439940"],"host_organization_lineage_names":["University of Southampton"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://www.research.manchester.ac.uk/portal/en/publications/geometry-of-refractions-and-reflections-through-a-biperiodic-medium(4f4a52ab-f9f3-443d-90eb-c8c9eecb74e3).html","pdf_url":"https://research.manchester.ac.uk/files/31960244/PAG2ndrevision.logged.pdf","source":{"id":"https://openalex.org/S4306400662","display_name":"Research Explorer (The University of Manchester)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I28407311","host_organization_name":"University of Manchester","host_organization_lineage":["https://openalex.org/I28407311"],"host_organization_lineage_names":["University of Manchester"],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, justice, and strong institutions","score":0.7}],"grants":[],"datasets":[],"versions":[],"referenced_works_count":17,"referenced_works":["https://openalex.org/W1506380541","https://openalex.org/W1595989395","https://openalex.org/W1967624922","https://openalex.org/W2019484673","https://openalex.org/W2034355768","https://openalex.org/W2043889449","https://openalex.org/W2051366848","https://openalex.org/W2069514721","https://openalex.org/W2073123112","https://openalex.org/W2082843460","https://openalex.org/W2091330015","https://openalex.org/W2120096817","https://openalex.org/W2132554281","https://openalex.org/W2963045423","https://openalex.org/W2963287884","https://openalex.org/W2963306125","https://openalex.org/W3099750028"],"related_works":["https://openalex.org/W64182352","https://openalex.org/W4386900933","https://openalex.org/W4385301946","https://openalex.org/W4297797135","https://openalex.org/W3125672081","https://openalex.org/W3013085049","https://openalex.org/W2991991550","https://openalex.org/W2372265507","https://openalex.org/W1673581201","https://openalex.org/W1560496689"],"abstract_inverted_index":{"The":[0,31],"behavior":[1],"of":[2,13,41,60,77],"light":[3],"rays":[4],"obeying":[5],"Snell's":[6],"law":[7],"in":[8,24,34],"a":[9,25,46],"medium":[10],"made":[11],"up":[12],"two":[14],"materials":[15],"with":[16,62],"different":[17],"refractive":[18,78],"indices":[19,79],"and":[20,44,72],"which":[21,63],"are":[22],"arranged":[23],"periodic":[26],"chessboard":[27],"pattern":[28],"is":[29,33,70,80],"described.":[30],"analysis":[32],"some":[35],"ways":[36],"analogous":[37],"to":[38,52],"the":[39,58,68,75,84],"study":[40],"rational":[42],"billiards":[43],"uses":[45],"return":[47],"map":[48],"on":[49],"one":[50],"surface":[51],"prove,":[53],"among":[54],"other":[55],"things,":[56],"that":[57,73],"number":[59],"angles":[61],"any":[64],"individual":[65],"ray":[66],"intersects":[67],"lattice":[69],"bounded":[71],"if":[74],"ratio":[76],"large":[81],"enough,":[82],"then":[83],"dynamics":[85],"can":[86],"be":[87],"described":[88],"by":[89],"interval":[90],"exchange":[91],"maps.":[92]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W1024081023","counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3}],"updated_date":"2024-12-13T17:49:48.318724","created_date":"2016-06-24"}