{"id":"https://openalex.org/W2946048718","doi":null,"title":"Kramers-Kronig relations beyond the optical approximation","display_name":"Kramers-Kronig relations beyond the optical approximation","publication_year":2019,"publication_date":"2019-05-15","ids":{"openalex":"https://openalex.org/W2946048718","mag":"2946048718"},"language":"en","primary_location":{"id":"mag:2946048718","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/pdf/1905.06069.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://arxiv.org/pdf/1905.06069.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5065533385","display_name":"Josep Llosa","orcid":"https://orcid.org/0000-0002-0512-4825","observed_orcids":["https://orcid.org/0000-0002-0512-4825"]},"institutions":[{"id":"https://openalex.org/I71999127","display_name":"Universitat de Barcelona","ror":"https://ror.org/021018s57","country_code":"ES","type":"education","lineage":["https://openalex.org/I71999127"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"J. Llosa","raw_affiliation_strings":["University of Barcelona"],"raw_orcid":"https://orcid.org/0000-0002-0512-4825","affiliations":[{"raw_affiliation_string":"University of Barcelona","institution_ids":["https://openalex.org/I71999127"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006489426","display_name":"F. Salvat","orcid":"https://orcid.org/0000-0002-6162-8841","observed_orcids":["https://orcid.org/0000-0002-6162-8841"]},"institutions":[{"id":"https://openalex.org/I71999127","display_name":"Universitat de Barcelona","ror":"https://ror.org/021018s57","country_code":"ES","type":"education","lineage":["https://openalex.org/I71999127"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"F. Salvat","raw_affiliation_strings":["University of Barcelona"],"raw_orcid":"https://orcid.org/0000-0002-6162-8841","affiliations":[{"raw_affiliation_string":"University of Barcelona","institution_ids":["https://openalex.org/I71999127"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I71999127"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11683","display_name":"Quantum and Classical Electrodynamics","score":0.9848999977111816,"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/T11683","display_name":"Quantum and Classical Electrodynamics","score":0.9848999977111816,"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/T14311","display_name":"Electrical and Electromagnetic Research","score":0.0019000000320374966,"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/T10295","display_name":"Plasmonic and Surface Plasmon Research","score":0.001500000013038516,"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/kramers-kronig-relations","display_name":"Kramers-Kronig relations","score":1.0},{"id":"https://openalex.org/keywords/optical-approximation","display_name":"optical approximation","score":0.7329999804496765},{"id":"https://openalex.org/keywords/dielectric-function","display_name":"dielectric function","score":0.7570000290870667},{"id":"https://openalex.org/keywords/causality","display_name":"causality","score":0.7250000238418579},{"id":"https://openalex.org/keywords/dispersion-relation","display_name":"dispersion relation","score":0.6700000166893005},{"id":"https://openalex.org/keywords/wave-number-dependence","display_name":"wave number dependence","score":0.7379999756813049},{"id":"https://openalex.org/keywords/response-functions","display_name":"response functions","score":0.7210000157356262},{"id":"https://openalex.org/keywords/electrodynamics","display_name":"electrodynamics","score":0.5899999737739563},{"id":"https://openalex.org/keywords/causality-bounds","display_name":"causality bounds","score":0.4230000078678131}],"concepts":[{"id":"https://openalex.org/C196224560","wikidata":"https://www.wikidata.org/wiki/Q1424764","display_name":"Kramers\u2013Kronig relations","level":3,"score":0.9600152373313904},{"id":"https://openalex.org/C64357122","wikidata":"https://www.wikidata.org/wiki/Q1149766","display_name":"Causality (physics)","level":2,"score":0.7055368423461914},{"id":"https://openalex.org/C184050105","wikidata":"https://www.wikidata.org/wiki/Q273163","display_name":"Isotropy","level":2,"score":0.6125423312187195},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5726336240768433},{"id":"https://openalex.org/C2988029435","wikidata":"https://www.wikidata.org/wiki/Q211569","display_name":"Dielectric function","level":3,"score":0.551966667175293},{"id":"https://openalex.org/C2779557605","wikidata":"https://www.wikidata.org/wiki/Q9890","display_name":"Omega","level":2,"score":0.4855611026287079},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.42999494075775146},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.37063753604888916},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34626126289367676},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.3369976878166199},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3361031115055084},{"id":"https://openalex.org/C133386390","wikidata":"https://www.wikidata.org/wiki/Q184996","display_name":"Dielectric","level":2,"score":0.32865822315216064},{"id":"https://openalex.org/C42067758","wikidata":"https://www.wikidata.org/wiki/Q174102","display_name":"Refractive index","level":2,"score":0.10361114144325256},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:2946048718","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/pdf/1905.06069.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null}],"best_oa_location":{"id":"mag:2946048718","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/pdf/1905.06069.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W1523050803","https://openalex.org/W1949480416","https://openalex.org/W2323314149","https://openalex.org/W3151660397"],"related_works":["https://openalex.org/W4288356448","https://openalex.org/W4210934345","https://openalex.org/W2338225490","https://openalex.org/W162543147","https://openalex.org/W1989377148","https://openalex.org/W4231997294","https://openalex.org/W2477108270","https://openalex.org/W3047926790","https://openalex.org/W1972578297","https://openalex.org/W2901634060"],"abstract_inverted_index":{"We":[0],"extend":[1],"Kramers-Kronig":[2,41],"relations":[3,42],"beyond":[4],"the":[5,19,23,31,38,45,77],"optical":[6],"approximation,":[7],"that":[8,14,47],"is":[9],"to":[10,43,64,68],"dielectric":[11],"functions":[12],"$\\varepsilon(q,\\omega)$":[13],"depend":[15],"not":[16,61],"only":[17],"on":[18,22,81],"frequency":[20],"but":[21,66],"wave":[24,83],"number":[25,84],"as":[26],"well.":[27],"This":[28],"implies":[29],"extending":[30],"notion":[32],"of":[33,40,71],"causality":[34],"commonly":[35],"used":[36],"in":[37,54,75],"theory":[39],"include":[44],"fact":[46],"signals":[48],"cannot":[49],"propagate":[50],"faster":[51],"than":[52],"light":[53],"vacuo.":[55],"The":[56],"results":[57],"we":[58],"derive":[59],"do":[60],"apply":[62],"exclusively":[63],"electrodynamics":[65],"also":[67],"other":[69],"theories":[70],"isotropic":[72],"linear":[73],"response":[74,78],"which":[76],"function":[79],"depends":[80],"both":[82],"and":[85],"frequency.":[86]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2019-05-29T00:00:00"}
