{"id":"https://openalex.org/W2522169147","doi":"https://doi.org/10.1137/15m1045867","title":"Nonlinear Quasi-Static Surface Plasmons","display_name":"Nonlinear Quasi-Static Surface Plasmons","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2522169147","doi":"https://doi.org/10.1137/15m1045867","mag":"2522169147"},"language":"en","primary_location":{"id":"doi:10.1137/15m1045867","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1045867","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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","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/A5022954463","display_name":"Ryan G. Halabi","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ryan G. Halabi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5054838276","display_name":"John K. Hunter","orcid":"https://orcid.org/0000-0002-4224-3583"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"John K. Hunter","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5058,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.65741164,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"76","issue":"5","first_page":"1899","last_page":"1919"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9904999732971191,"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/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9904999732971191,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9704999923706055,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9502999782562256,"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/nonlinear-system","display_name":"Nonlinear system","score":0.6560417413711548},{"id":"https://openalex.org/keywords/singularity","display_name":"Singularity","score":0.6321737170219421},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.602407693862915},{"id":"https://openalex.org/keywords/isotropy","display_name":"Isotropy","score":0.5572341084480286},{"id":"https://openalex.org/keywords/wavenumber","display_name":"Wavenumber","score":0.5277020931243896},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.4894932508468628},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.4601806402206421},{"id":"https://openalex.org/keywords/asymptotic-analysis","display_name":"Asymptotic analysis","score":0.46002286672592163},{"id":"https://openalex.org/keywords/plasmon","display_name":"Plasmon","score":0.4566135108470917},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4466351866722107},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.4431504011154175},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41779565811157227},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.14054402709007263},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.11607116460800171}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6560417413711548},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.6321737170219421},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.602407693862915},{"id":"https://openalex.org/C184050105","wikidata":"https://www.wikidata.org/wiki/Q273163","display_name":"Isotropy","level":2,"score":0.5572341084480286},{"id":"https://openalex.org/C121130766","wikidata":"https://www.wikidata.org/wiki/Q192510","display_name":"Wavenumber","level":2,"score":0.5277020931243896},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.4894932508468628},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.4601806402206421},{"id":"https://openalex.org/C205147927","wikidata":"https://www.wikidata.org/wiki/Q752718","display_name":"Asymptotic analysis","level":2,"score":0.46002286672592163},{"id":"https://openalex.org/C110879396","wikidata":"https://www.wikidata.org/wiki/Q58392","display_name":"Plasmon","level":2,"score":0.4566135108470917},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4466351866722107},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.4431504011154175},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41779565811157227},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.14054402709007263},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.11607116460800171},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.0},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/15m1045867","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1045867","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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4399999976158142,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[{"id":"https://openalex.org/G3886632237","display_name":null,"funder_award_id":"DMS-1312342","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W616225202","https://openalex.org/W937383874","https://openalex.org/W1533150496","https://openalex.org/W1545761024","https://openalex.org/W1977606470","https://openalex.org/W2003096116","https://openalex.org/W2005924516","https://openalex.org/W2036949522","https://openalex.org/W2136257701","https://openalex.org/W2141774548","https://openalex.org/W2168054043","https://openalex.org/W2731771262","https://openalex.org/W3037700758","https://openalex.org/W3105613069","https://openalex.org/W4211085660"],"related_works":["https://openalex.org/W3148450583","https://openalex.org/W2001088508","https://openalex.org/W1977973012","https://openalex.org/W4238008884","https://openalex.org/W1506249783","https://openalex.org/W4376130101","https://openalex.org/W2332152992","https://openalex.org/W1970871817","https://openalex.org/W2599080221","https://openalex.org/W4249207009"],"abstract_inverted_index":{"We":[0,56,72],"derive":[1],"an":[2],"asymptotic":[3,65,86],"equation":[4,47,66,107],"for":[5],"nonlinear":[6,39,45,92],"quasi-static":[7],"surface":[8],"plasmons":[9,19],"propagating":[10],"on":[11],"a":[12,23,37,42,81],"planar":[13],"interface":[14],"between":[15],"isotropic":[16],"media.":[17],"The":[18,33],"are":[20],"nondispersive":[21],"with":[22],"constant":[24],"linearized":[25],"frequency":[26],"that":[27,48,91],"is":[28,117],"independent":[29],"of":[30,36,60,63,77,80,84,101,104,128],"their":[31],"wavenumber.":[32],"spatial":[34,99],"profile":[35],"weakly":[38],"plasmon":[40],"satisfies":[41],"nonlocal,":[43],"cubically":[44],"evolution":[46],"couples":[49],"its":[50,69],"left-moving":[51],"and":[52,67],"right-moving":[53],"Fourier":[54],"components.":[55],"prove":[57,74],"short-time":[58],"existence":[59,76],"smooth":[61,111],"solutions":[62,79,89,127],"the":[64,85,97,105,129],"describe":[68],"Hamiltonian":[70],"structure.":[71],"also":[73],"global":[75],"weak":[78],"unidirectional":[82,106],"reduction":[83],"equation.":[87,131],"Numerical":[88],"show":[90],"effects":[93],"can":[94,121],"lead":[95,122],"to":[96,109,123],"strong":[98],"focusing":[100,120],"plasmons.":[102],"Solutions":[103],"appear":[108],"remain":[110],"when":[112],"they":[113],"focus,":[114],"but":[115],"it":[116],"unclear":[118],"whether":[119],"singularity":[124],"formation":[125],"in":[126],"bidirectional":[130]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
