{"id":"https://openalex.org/W2010876429","doi":"https://doi.org/10.1117/12.876787","title":"An analytic expression for the field dependence of FRINGE Zernike polynomial coefficients in optical systems that are rotationally nonsymmetric","display_name":"An analytic expression for the field dependence of FRINGE Zernike polynomial coefficients in optical systems that are rotationally nonsymmetric","publication_year":2010,"publication_date":"2010-11-03","ids":{"openalex":"https://openalex.org/W2010876429","doi":"https://doi.org/10.1117/12.876787","mag":"2010876429"},"language":"en","primary_location":{"id":"doi:10.1117/12.876787","doi":"https://doi.org/10.1117/12.876787","is_oa":false,"landing_page_url":"https://doi.org/10.1117/12.876787","pdf_url":null,"source":{"id":"https://openalex.org/S183492911","display_name":"Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE","issn_l":"0277-786X","issn":["0277-786X","1996-756X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","norway-1"],"host_organization":"https://openalex.org/P4310315543","host_organization_name":"SPIE","host_organization_lineage":["https://openalex.org/P4310315543"],"host_organization_lineage_names":["SPIE"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SPIE Proceedings","raw_type":"proceedings-article"},"volume":null,"type":"conference-paper","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/A5108234956","display_name":"Kevin P. Thompson","orcid":"https://orcid.org/0009-0002-9472-3965","observed_orcids":["https://orcid.org/0009-0002-9472-3965"]},"institutions":[{"id":"https://openalex.org/I5388228","display_name":"University of Rochester","ror":"https://ror.org/022kthw22","country_code":"US","type":"education","lineage":["https://openalex.org/I5388228"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kevin P. Thompson","raw_affiliation_strings":["Optical Research Associates (United States)","The Institute of Optics, Univ. of Rochester (United States)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Optical Research Associates (United States)","institution_ids":[]},{"raw_affiliation_string":"The Institute of Optics, Univ. of Rochester (United States)","institution_ids":["https://openalex.org/I5388228"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022390141","display_name":"Kyle Fuerschbach","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I5388228","display_name":"University of Rochester","ror":"https://ror.org/022kthw22","country_code":"US","type":"education","lineage":["https://openalex.org/I5388228"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kyle Fuerschbach","raw_affiliation_strings":["The Institute of Optics, Univ. of Rochester (United States)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The Institute of Optics, Univ. of Rochester (United States)","institution_ids":["https://openalex.org/I5388228"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004153189","display_name":"Jannick P. Rolland","orcid":"https://orcid.org/0000-0003-2747-4022","observed_orcids":["https://orcid.org/0000-0003-2747-4022"]},"institutions":[{"id":"https://openalex.org/I5388228","display_name":"University of Rochester","ror":"https://ror.org/022kthw22","country_code":"US","type":"education","lineage":["https://openalex.org/I5388228"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jannick P. Rolland","raw_affiliation_strings":["The Institute of Optics, Univ. of Rochester (United States)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The Institute of Optics, Univ. of Rochester (United States)","institution_ids":["https://openalex.org/I5388228"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I5388228"],"apc_list":null,"apc_paid":null,"fwci":0.7361,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.66394039,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"7849","issue":null,"first_page":"784906","last_page":"784906"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11517","display_name":"Advanced optical system design","score":0.8374000191688538,"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"}},"topics":[{"id":"https://openalex.org/T11517","display_name":"Advanced optical system design","score":0.8374000191688538,"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/T11484","display_name":"Adaptive optics and wavefront sensing","score":0.12780000269412994,"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/T10638","display_name":"Optical measurement and interference techniques","score":0.016599999740719795,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/zernike-polynomials","display_name":"Zernike polynomials","score":0.9480000138282776},{"id":"https://openalex.org/keywords/field-dependence","display_name":"field dependence","score":0.9079999923706055},{"id":"https://openalex.org/keywords/nodal-aberration-theory","display_name":"nodal aberration theory","score":0.8709999918937683},{"id":"https://openalex.org/keywords/rms-wavefront-error","display_name":"RMS wavefront error","score":0.949999988079071},{"id":"https://openalex.org/keywords/optical-alignment","display_name":"optical alignment","score":0.7099999785423279},{"id":"https://openalex.org/keywords/misaligned-optical-systems","display_name":"misaligned optical systems","score":0.7419999837875366},{"id":"https://openalex.org/keywords/optical-surface-characterization","display_name":"optical surface characterization","score":0.5019999742507935},{"id":"https://openalex.org/keywords/acceptance-testing","display_name":"acceptance testing","score":0.5139999985694885}],"concepts":[{"id":"https://openalex.org/C92423082","wikidata":"https://www.wikidata.org/wiki/Q132146","display_name":"Zernike polynomials","level":3,"score":0.9876372218132019},{"id":"https://openalex.org/C165699331","wikidata":"https://www.wikidata.org/wiki/Q461533","display_name":"Wavefront","level":2,"score":0.7770864963531494},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.6015716195106506},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5886127352714539},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.5329210758209229},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.49979281425476074},{"id":"https://openalex.org/C132771110","wikidata":"https://www.wikidata.org/wiki/Q506922","display_name":"Adaptive optics","level":2,"score":0.4692181348800659},{"id":"https://openalex.org/C90559484","wikidata":"https://www.wikidata.org/wiki/Q778379","display_name":"Expression (computer science)","level":2,"score":0.4186602532863617},{"id":"https://openalex.org/C78336883","wikidata":"https://www.wikidata.org/wiki/Q4779385","display_name":"Aperture (computer memory)","level":2,"score":0.4185335040092468},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3713407814502716},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32125455141067505},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27110880613327026},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2306796908378601},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.084697425365448},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1117/12.876787","doi":"https://doi.org/10.1117/12.876787","is_oa":false,"landing_page_url":"https://doi.org/10.1117/12.876787","pdf_url":null,"source":{"id":"https://openalex.org/S183492911","display_name":"Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE","issn_l":"0277-786X","issn":["0277-786X","1996-756X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","norway-1"],"host_organization":"https://openalex.org/P4310315543","host_organization_name":"SPIE","host_organization_lineage":["https://openalex.org/P4310315543"],"host_organization_lineage_names":["SPIE"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SPIE Proceedings","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1984937424","https://openalex.org/W2058026488","https://openalex.org/W3084642073","https://openalex.org/W2032942994","https://openalex.org/W2745938086","https://openalex.org/W2015196150","https://openalex.org/W1975829108","https://openalex.org/W2084671197","https://openalex.org/W7128798251","https://openalex.org/W7128765512"],"abstract_inverted_index":{"Zernike":[0,60],"polynomials":[1],"have":[2,18],"emerged":[3],"as":[4,23,72],"the":[5,29,41,44,50,56,59,91,97,100,109,113,138],"preferred":[6],"method":[7],"of":[8,28,31,33,43,58,77,99,102,115],"characterizing":[9,132],"as-fabricated":[10],"optical":[11,35,82,105,135,139],"surfaces.":[12],"From":[13],"here,":[14],"over":[15],"time,":[16],"they":[17],"come":[19],"to":[20,95,122],"be":[21],"used":[22],"a":[24,73,103],"sparsely":[25],"sampled":[26],"representation":[27,76],"state":[30],"alignment":[32,45],"assembled":[34],"systems":[36,136],"both":[37],"during":[38],"and":[39,143,145],"at":[40],"conclusion":[42],"process.":[46,148],"We":[47],"previously":[48],"developed":[49],"field":[51,110],"dependence":[52,111],"that":[53],"analytically":[54],"interconnects":[55],"coefficients":[57],"polynomial":[61,125],"(which":[62],"has":[63],"to-date":[64],"been":[65],"characterized":[66],"only":[67],"by":[68,107],"its":[69],"aperture":[70],"dependence)":[71],"more":[74],"complete":[75],"an":[78,127],"aligned,":[79],"rotationally":[80],"symmetric":[81],"system.":[83],"Here,":[84],"we":[85],"extend":[86],"this":[87,123],"analytic":[88],"expression":[89],"for":[90,131],"RMS":[92],"wavefront":[93],"error":[94],"encompass":[96],"prediction":[98],"performance":[101,134],"misaligned":[104],"system":[106],"expressing":[108],"within":[112],"framework":[114],"nodal":[116],"aberration":[117],"theory.":[118],"This":[119],"significant":[120],"expansion":[121],"valuable":[124],"provides":[126],"important":[128],"new":[129],"tool":[130],"high":[133],"throughout":[137],"design,":[140],"fabrication,":[141],"assembly,":[142],"interim":[144],"acceptance":[146],"test":[147]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":1}],"updated_date":"2026-10-29T09:56:32.521200","created_date":"2016-06-24T00:00:00"}
