{"id":"https://openalex.org/W7166572362","doi":"https://doi.org/10.48550/arxiv.2606.27445","title":"Analysis of Nonlinear Random Polarization in Dispersive Dielectrics","display_name":"Analysis of Nonlinear Random Polarization in Dispersive Dielectrics","publication_year":2026,"publication_date":"2026-06-25","ids":{"openalex":"https://openalex.org/W7166572362","doi":"https://doi.org/10.48550/arxiv.2606.27445"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2606.27445","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.27445","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,"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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2606.27445","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103104412","display_name":"Nathan L. Gibson","orcid":"https://orcid.org/0000-0001-7861-5548"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Gibson, Nathan L.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5129356129","display_name":"Emmanuel E. Oguadimma","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Oguadimma, Emmanuel E.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.4936999976634979,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.4936999976634979,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10822","display_name":"Acoustic Wave Phenomena Research","score":0.051100000739097595,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/T11575","display_name":"Nonlinear Photonic Systems","score":0.029999999329447746,"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":0.7551000118255615},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.5999000072479248},{"id":"https://openalex.org/keywords/polarization","display_name":"Polarization (electrochemistry)","score":0.5924000144004822},{"id":"https://openalex.org/keywords/dielectric","display_name":"Dielectric","score":0.5525000095367432},{"id":"https://openalex.org/keywords/debye","display_name":"Debye","score":0.5185999870300293},{"id":"https://openalex.org/keywords/amplitude","display_name":"Amplitude","score":0.48579999804496765},{"id":"https://openalex.org/keywords/cross-polarized-wave-generation","display_name":"Cross-polarized wave generation","score":0.4284999966621399},{"id":"https://openalex.org/keywords/wave-propagation","display_name":"Wave propagation","score":0.42309999465942383}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7551000118255615},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.5999000072479248},{"id":"https://openalex.org/C205049153","wikidata":"https://www.wikidata.org/wiki/Q2698605","display_name":"Polarization (electrochemistry)","level":2,"score":0.5924000144004822},{"id":"https://openalex.org/C133386390","wikidata":"https://www.wikidata.org/wiki/Q184996","display_name":"Dielectric","level":2,"score":0.5525000095367432},{"id":"https://openalex.org/C40899509","wikidata":"https://www.wikidata.org/wiki/Q40603","display_name":"Debye","level":2,"score":0.5185999870300293},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.48579999804496765},{"id":"https://openalex.org/C185838666","wikidata":"https://www.wikidata.org/wiki/Q5188192","display_name":"Cross-polarized wave generation","level":3,"score":0.4284999966621399},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.42399999499320984},{"id":"https://openalex.org/C44886760","wikidata":"https://www.wikidata.org/wiki/Q1758425","display_name":"Wave propagation","level":2,"score":0.42309999465942383},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.415800005197525},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.41179999709129333},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36000001430511475},{"id":"https://openalex.org/C30475298","wikidata":"https://www.wikidata.org/wiki/Q909554","display_name":"Computational physics","level":1,"score":0.33559998869895935},{"id":"https://openalex.org/C125112378","wikidata":"https://www.wikidata.org/wiki/Q176640","display_name":"Randomness","level":2,"score":0.3312000036239624},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.32120001316070557},{"id":"https://openalex.org/C149773537","wikidata":"https://www.wikidata.org/wiki/Q12969754","display_name":"Electromagnetic radiation","level":2,"score":0.313400000333786},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.3018999993801117},{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.3009999990463257},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.29350000619888306},{"id":"https://openalex.org/C197656079","wikidata":"https://www.wikidata.org/wiki/Q17147719","display_name":"Polynomial chaos","level":3,"score":0.287200003862381},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.2825999855995178},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.28029999136924744},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.27810001373291016},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.27000001072883606},{"id":"https://openalex.org/C28843909","wikidata":"https://www.wikidata.org/wiki/Q177625","display_name":"Electromagnetic field","level":2,"score":0.2648000121116638},{"id":"https://openalex.org/C78854221","wikidata":"https://www.wikidata.org/wiki/Q756033","display_name":"Nonlinear optics","level":3,"score":0.25279998779296875}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2606.27445","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.27445","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,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2606.27445","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.27445","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,"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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"We":[0,40,58],"present":[1],"a":[2,16,37,127],"study":[3,124],"on":[4],"the":[5,30,42,46,60,69,72,78,101,106],"time-domain":[6],"propagation":[7,132],"of":[8,62,71,110,130],"electromagnetic":[9,147],"waves":[10],"in":[11,80,133,141],"dielectric":[12],"materials":[13,112],"modeled":[14],"by":[15],"nonlinear":[17,32,63,93],"Debye":[18,33],"medium":[19],"with":[20,136],"random":[21,31],"perturbations.":[22],"Polynomial":[23],"Chaos":[24],"Expansions":[25],"are":[26],"employed":[27],"to":[28,45,65,88,126],"transform":[29],"polarization":[34],"model":[35],"into":[36],"deterministic":[38],"framework.":[39],"extend":[41],"Yee":[43],"discretization":[44],"resulting":[47],"coupled":[48],"system,":[49],"establish":[50],"second":[51],"order":[52],"accuracy,":[53],"and":[54,90,146],"verify":[55],"convergence":[56],"numerically.":[57],"investigate":[59],"sensitivity":[61],"properties":[64],"uncertainty,":[66],"particularly":[67],"when":[68],"amplitude":[70],"input":[73],"signal":[74],"is":[75],"large.":[76],"Given":[77],"challenges":[79],"manufacturing":[81],"where":[82],"uncertainties":[83,99],"can":[84,104],"cause":[85],"optimal":[86],"parameters":[87],"vary":[89],"potentially":[91],"disrupt":[92],"effects,":[94],"our":[95],"approach":[96],"incorporates":[97],"these":[98],"within":[100],"simulation.":[102],"This":[103],"enable":[105],"model-based":[107],"design":[108],"identification":[109],"realizable":[111],"that":[113],"maintain":[114],"their":[115],"desired":[116],"effects":[117],"despite":[118],"variations.":[119],"The":[120],"findings":[121],"from":[122],"this":[123],"contribute":[125],"deeper":[128],"understanding":[129],"wave":[131,148],"complex":[134],"media,":[135],"potential":[137],"implications":[138],"for":[139],"applications":[140],"optical":[142],"communications,":[143],"material":[144],"science,":[145],"control.":[149]},"counts_by_year":[],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2026-06-30T00:00:00"}
