{"id":"https://openalex.org/W2066474887","doi":"https://doi.org/10.1137/s0036141099349966","title":"The Mechanism of the Polarizational Mode Instability in Birefringent Fiber Optics","display_name":"The Mechanism of the Polarizational Mode Instability in Birefringent Fiber Optics","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W2066474887","doi":"https://doi.org/10.1137/s0036141099349966","mag":"2066474887"},"language":"en","primary_location":{"id":"doi:10.1137/s0036141099349966","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036141099349966","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"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 Mathematical Analysis","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/A5022788007","display_name":"Yi A. Li","orcid":null},"institutions":[{"id":"https://openalex.org/I108468826","display_name":"Stevens Institute of Technology","ror":"https://ror.org/02z43xh36","country_code":"US","type":"education","lineage":["https://openalex.org/I108468826"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Yi A. Li","raw_affiliation_strings":["Stevens Inst of Tech"],"affiliations":[{"raw_affiliation_string":"Stevens Inst of Tech","institution_ids":["https://openalex.org/I108468826"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024694851","display_name":"Keith Promislow","orcid":"https://orcid.org/0000-0002-8198-6208"},"institutions":[{"id":"https://openalex.org/I18014758","display_name":"Simon Fraser University","ror":"https://ror.org/0213rcc28","country_code":"CA","type":"education","lineage":["https://openalex.org/I18014758"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Keith Promislow","raw_affiliation_strings":["Simon Fraser University"],"affiliations":[{"raw_affiliation_string":"Simon Fraser University","institution_ids":["https://openalex.org/I18014758"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5022788007"],"corresponding_institution_ids":["https://openalex.org/I108468826"],"apc_list":null,"apc_paid":null,"fwci":5.0479,"has_fulltext":false,"cited_by_count":33,"citation_normalized_percentile":{"value":0.96149554,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"31","issue":"6","first_page":"1351","last_page":"1373"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9998000264167786,"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":0.9998000264167786,"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/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9995999932289124,"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"}},{"id":"https://openalex.org/T11575","display_name":"Nonlinear Photonic Systems","score":0.9962000250816345,"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/mathematics","display_name":"Mathematics","score":0.6414567828178406},{"id":"https://openalex.org/keywords/instability","display_name":"Instability","score":0.6399549245834351},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.6190613508224487},{"id":"https://openalex.org/keywords/integrable-system","display_name":"Integrable system","score":0.617914617061615},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5835429430007935},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.5563381314277649},{"id":"https://openalex.org/keywords/birefringence","display_name":"Birefringence","score":0.53896164894104},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.4979526996612549},{"id":"https://openalex.org/keywords/hamiltonian-system","display_name":"Hamiltonian system","score":0.45788657665252686},{"id":"https://openalex.org/keywords/laplace-operator","display_name":"Laplace operator","score":0.41382667422294617},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2941731810569763},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.183683842420578},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.12460640072822571}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6414567828178406},{"id":"https://openalex.org/C207821765","wikidata":"https://www.wikidata.org/wiki/Q405372","display_name":"Instability","level":2,"score":0.6399549245834351},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6190613508224487},{"id":"https://openalex.org/C200741047","wikidata":"https://www.wikidata.org/wiki/Q1957758","display_name":"Integrable system","level":2,"score":0.617914617061615},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5835429430007935},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.5563381314277649},{"id":"https://openalex.org/C125743686","wikidata":"https://www.wikidata.org/wiki/Q108779","display_name":"Birefringence","level":2,"score":0.53896164894104},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.4979526996612549},{"id":"https://openalex.org/C121770821","wikidata":"https://www.wikidata.org/wiki/Q2072471","display_name":"Hamiltonian system","level":2,"score":0.45788657665252686},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.41382667422294617},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2941731810569763},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.183683842420578},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.12460640072822571},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/s0036141099349966","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036141099349966","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"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 Mathematical Analysis","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.43.8075","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.43.8075","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.sfu.ca/~kpromisl/mpmi.ps","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W565858657","https://openalex.org/W1487057719","https://openalex.org/W1966652217","https://openalex.org/W1969993883","https://openalex.org/W1971004457","https://openalex.org/W1981068154","https://openalex.org/W1981071298","https://openalex.org/W1984401380","https://openalex.org/W1986240868","https://openalex.org/W1988315293","https://openalex.org/W1992737652","https://openalex.org/W1999795887","https://openalex.org/W2000826414","https://openalex.org/W2005317720","https://openalex.org/W2005670571","https://openalex.org/W2006365463","https://openalex.org/W2006801014","https://openalex.org/W2009425979","https://openalex.org/W2013238203","https://openalex.org/W2015946804","https://openalex.org/W2021277859","https://openalex.org/W2031211082","https://openalex.org/W2034322712","https://openalex.org/W2058232342","https://openalex.org/W2058654031","https://openalex.org/W2062710542","https://openalex.org/W2064595336","https://openalex.org/W2066711143","https://openalex.org/W2067265108","https://openalex.org/W2070823330","https://openalex.org/W2081227338","https://openalex.org/W2081520844","https://openalex.org/W2090689737","https://openalex.org/W2102447842","https://openalex.org/W2107772005","https://openalex.org/W2132715253","https://openalex.org/W2154195688","https://openalex.org/W2160230431","https://openalex.org/W2498110550","https://openalex.org/W2998476915","https://openalex.org/W4239218445"],"related_works":["https://openalex.org/W1965043874","https://openalex.org/W1577606234","https://openalex.org/W88265998","https://openalex.org/W1916844891","https://openalex.org/W25827740","https://openalex.org/W25683132","https://openalex.org/W88263287","https://openalex.org/W1992045028","https://openalex.org/W1634204107","https://openalex.org/W44123443"],"abstract_inverted_index":{"We":[0],"show":[1],"that":[2],"the":[3,7,26,30,56,62,70,74,84,88,96,106],"soliton":[4],"solutions":[5],"of":[6,29,53,73,87,95],"integrable":[8],"Manakov":[9],"equation":[10],"exhibit":[11],"an":[12],"instability":[13,20],"under":[14],"arbitrarily":[15],"small":[16],"Hamiltonian":[17],"perturbations.":[18,40],"The":[19],"arises":[21],"from":[22,105],"eigenvalues":[23,35],"embedded":[24],"in":[25,47],"essential":[27],"spectrum":[28],"associated":[31],"linearized":[32,75],"operators;":[33],"these":[34],"are":[36],"dislodged":[37],"by":[38],"smooth":[39],"Specifically":[41],"we":[42,77],"consider":[43],"perturbations":[44],"which":[45],"arise":[46],"fiber":[48],"optics":[49],"as":[50],"a":[51,66,100],"result":[52],"birefringence,":[54],"including":[55],"so-called":[57],"four-wave":[58],"mixing":[59],"term.":[60],"Employing":[61],"Evans":[63],"function":[64],"and":[65,82],"Dirichlet":[67,107],"expansion":[68],"on":[69],"stable":[71],"manifold":[72],"system,":[76],"obtain":[78],"rigorous":[79],"perturbation":[80],"results":[81],"compute":[83],"stability":[85],"diagram":[86],"fast":[89],"wave":[90],"for":[91],"all":[92],"physical":[93],"values":[94],"birefringent":[97],"parameters,":[98],"using":[99],"novel":[101],"numerical":[102],"scheme":[103],"derived":[104],"expansion.":[108]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2026-04-17T18:11:37.981687","created_date":"2025-10-10T00:00:00"}
